Magnetic Micro and Nano Sensors for Continuous Health Monitoring

: Magnetic micro and nano sensors can be used in a broad variety of applications, e


Introduction
Monitoring the health of patients, the elderly and athletes becomes more and more important with the increased number of sensor systems available, on the one hand, and an increasing number of elderly people, on the other hand [1].Wearable systems are preferred for long-term monitoring during active aging, as well as in sports [2,3].
Wearable sensors can measure diverse vital parameters using a broad variety of different physical principles [4].Amongst the most often measured parameters are heart rate and ECG, blood oxygen saturation, blood pressure, sleep patterns and physical activities, which are measured by bioelectric, mechano-electric, opto-electric or ultrasonic sensors [5][6][7].Alternatively, optical sensors enable the measuring of temperature, light, pH or electric fields [8].However, there are many more sensors which are typically used in wearables, such as skin temperature sensors, pedometers, GPS (geographical positioning system), accelerometers or EMG (electromyography) sensors [9,10].Besides these body functions, wearable sensors can also detect environmental stimuli, such as light, temperature, magnetic field or volatile organic compounds (VOCs) [11].It should be mentioned that these sensors alone are not sufficient to monitor a person's health, and that data evaluation either by a medical doctor or supported by automatic procedures, e.g., based on deep learning and artificial intelligence, is necessary to detect chronic diseases as well as sudden health problems as soon as possible [12,13].This review, however, focuses on the sensors used for continuous health monitoring.
One of the requirements for wearable sensors is that they work with low energy consumption, ideally with an integrated energy harvester like a thermo-electric generator Micro 2024, 4 207 (TEG) to make the system completely self-sustainable [14,15].The proper positioning of the sensor is another important factor which decides the performance of a specific sensor [16].In addition, sensors worn near the body or even integrated into the human body have to be either very small or flexible, necessitating an appropriate fabrication technique and/or substrate choice [17].Among the typical flexible sensor substrates on which electronics can be printed are materials such as polyethylene terephthalate (PET), polyimide (PI) or polycarbonate (PC) [18].Many sensors use nanoparticles, nano-composites or other nanomaterials not only to enable miniaturization, but also to create the combination of physical or chemical properties required by a specific sensor [18].These flexible sensors can be used in the form of textile-based or epidermal sensors [19].Miniaturized magnetic sensors can also be implanted in some cases [20].
Among the various sensors which can be used for continuous health monitoring, magnetic field micro and nano sensors enable the measuring of diverse physical properties, and they are often robust and can work with low energy consumption.Typical examples of the physical effects used by such magnetic sensors are the Hall effect, giant magnetoresistance (GMR), tunnel magnetoresistance (TMR), anisotropic magnetoresistance (AMR) and giant magnetoimpedance (GMI), as well as magnetic tunnel junctions (MTJs) and fluxgate sensors [21].These and other magnetic effects and sensors can be used to measure, e.g., biomagnetic signals like magnetocardiography (MCG), magnetoencephalography (MEG), magnetomyography (MMG) or magnetoneurography (MNG) [22].The most important magnetic effects used in these measurements are described in the next section.

Physical Effects Used in Magnetic Micro and Nano Sensors 2.1. Different Magnetic Arrangements
When a material is described as "magnetic", it is often understood to be ferro-or ferrimagnetic.However, there are several other configurations possible.
Among the non-cooperative arrangements are dia-and paramagnetism.Diamagnetism occurs in all materials, where electrons experiencing an external magnetic field are shielding this external field by a contrary internal one.In paramagnetism, an external magnetic field orients the magnetic moments parallel to it; this order is lost when the external magnetic field vanishes [23].
In ferromagnetic materials, magnetic moments are also oriented along an external magnetic field but keep this order to a large extent when the field vanishes, and an opposite field (a coercive field) is necessary to obtain an overall magnetization of zero again.Ferromagnetic materials show this behavior only at temperatures below the Curie temperature, above which they become paramagnetic.Other typical cooperative arrangements are antiferro-and ferrimagnetism.In both cases, neighboring magnetic moments are oriented antiparallel, leading to two sublattices usually oriented parallel and antiparallel to the external magnetic field.The total magnetization, as the sum of both sublattices, is zero in antiferromagnetic cases and different from zero in ferrimagnetic cases.Both effects can be found below their respective ordering temperatures, i.e., below the Néel temperature of an antiferromagnet or the Curie temperature of a ferrimagnet, respectively [23].
Combinations of these magnetic materials and other materials in magnetic or electric fields can give rise to new effects and devices, which are briefly described in the following sub-sections.

Hall Effect
The Hall effect is usually described in semiconductors, but it can also occur in other non-magnetic materials.In ferromagnetic materials, it is usually described as a superposition of the "ordinary" and the "extraordinary" Hall effects.
When a current flows through a semiconductor and an external magnetic field is applied perpendicular to the current flow, a Hall electric field will occur perpendicular to the current and magnetic field, which is measured as a Hall voltage [24], as depicted in Figure 1 [25].Hall effect devices are typically used to, e.g., measure the magnetic fields in scientific experiments, but also industrially to measure linear and angular positions, velocity, electric currents, etc. [24].
The Hall effect is usually described in semiconductors, but it can also occur in other non-magnetic materials.In ferromagnetic materials, it is usually described as a superposition of the "ordinary" and the "extraordinary" Hall effects.
When a current flows through a semiconductor and an external magnetic field is applied perpendicular to the current flow, a Hall electric field will occur perpendicular to the current and magnetic field, which is measured as a Hall voltage [24], as depicted in Figure 1 [25].Hall effect devices are typically used to, e.g., measure the magnetic fields in scientific experiments, but also industrially to measure linear and angular positions, velocity, electric currents, etc. [24].

Giant Magnetoresistance
Magnetoresistance effects generally describe the finding that, in some materials or material systems, electrical resistance is influenced by an applied magnetic field.After the first discoveries of relatively small effects (anisotropic magnetoresistance), which could not easily be used for precise measurements, giant magnetoresistance (GMR) was found in systems with two ferromagnetic (FM) layers separated by a nonmagnetic layer [26] and could reach values up to several hundred percent [27,28].A simple explanation is offered by Mott's two-fluid model (or resistor network model), depicted in Figure 2 [29].Here, a spin-dependent scattering of the electrons in the ferromagnetic layers is assumed, where the majority spins experience less scattering than the minority spins.In typical magnetic bilayer structures (Figure 2), this leads to different overall resistances for the spin-up and spin-down electron currents in the magnetic layers and, thus, not only to a lower resistance for bilayers with a parallel magnetization orientation, but also to a higher flow of the majority electrons in this case [26].

Tunnel Magnetoresistance
Similar to GMR, tunnel magnetoresistance (TMR) consists of two ferromagnetic layers, separated by a thin insulating layer through which electrons can tunnel.Instead of Figure 1.Schematic representation of a Hall device.The current I applied along the bar and the magnetic field H perpendicular to the surface result in a Hall voltage due to the force on the negative charge carriers, i.e., the electrons.Reprinted from [25], originally published under a CC-BY license.

Giant Magnetoresistance
Magnetoresistance effects generally describe the finding that, in some materials or material systems, electrical resistance is influenced by an applied magnetic field.After the first discoveries of relatively small effects (anisotropic magnetoresistance), which could not easily be used for precise measurements, giant magnetoresistance (GMR) was found in systems with two ferromagnetic (FM) layers separated by a nonmagnetic layer [26] and could reach values up to several hundred percent [27,28].A simple explanation is offered by Mott's two-fluid model (or resistor network model), depicted in Figure 2 [29].Here, a spin-dependent scattering of the electrons in the ferromagnetic layers is assumed, where the majority spins experience less scattering than the minority spins.In typical magnetic bilayer structures (Figure 2), this leads to different overall resistances for the spin-up and spin-down electron currents in the magnetic layers and, thus, not only to a lower resistance for bilayers with a parallel magnetization orientation, but also to a higher flow of the majority electrons in this case [26].
The Hall effect is usually described in semiconductors, but it can also occur in other non-magnetic materials.In ferromagnetic materials, it is usually described as a superposition of the "ordinary" and the "extraordinary" Hall effects.
When a current flows through a semiconductor and an external magnetic field is applied perpendicular to the current flow, a Hall electric field will occur perpendicular to the current and magnetic field, which is measured as a Hall voltage [24], as depicted in Figure 1 [25].Hall effect devices are typically used to, e.g., measure the magnetic fields in scientific experiments, but also industrially to measure linear and angular positions, velocity, electric currents, etc. [24].

Giant Magnetoresistance
Magnetoresistance effects generally describe the finding that, in some materials or material systems, electrical resistance is influenced by an applied magnetic field.After the first discoveries of relatively small effects (anisotropic magnetoresistance), which could not easily be used for precise measurements, giant magnetoresistance (GMR) was found in systems with two ferromagnetic (FM) layers separated by a nonmagnetic layer [26] and could reach values up to several hundred percent [27,28].A simple explanation is offered by Mott's two-fluid model (or resistor network model), depicted in Figure 2 [29].Here, a spin-dependent scattering of the electrons in the ferromagnetic layers is assumed, where the majority spins experience less scattering than the minority spins.In typical magnetic bilayer structures (Figure 2), this leads to different overall resistances for the spin-up and spin-down electron currents in the magnetic layers and, thus, not only to a lower resistance for bilayers with a parallel magnetization orientation, but also to a higher flow of the majority electrons in this case [26].

Tunnel Magnetoresistance
Similar to GMR, tunnel magnetoresistance (TMR) consists of two ferromagnetic layers, separated by a thin insulating layer through which electrons can tunnel.Instead of

Tunnel Magnetoresistance
Similar to GMR, tunnel magnetoresistance (TMR) consists of two ferromagnetic layers, separated by a thin insulating layer through which electrons can tunnel.Instead of spindependent scattering, spin-dependent band matching results in a lower electrical resistance for FM layers with parallel orientations, as shown in Figure 3 [30].
TMR sensors can also reach high resistance differences between parallel and antiparallel magnetization states of several ten to several hundred percent [31,32].These values depend strongly on the barrier's quality, such that technological improvements have resulted in increased TMR values [33,34].
spin-dependent scattering, spin-dependent band matching results in a lower electrical resistance for FM layers with parallel orientations, as shown in Figure 3 [30].TMR sensors can also reach high resistance differences between parallel and antiparallel magnetization states of several ten to several hundred percent [31,32].These values depend strongly on the barrier's quality, such that technological improvements have resulted in increased TMR values [33,34].

Anisotropic and Colossal Magnetoresistance
Anisotropic magnetoresistance (AMR), as mentioned before, was firstly found to show only small changes in electric resistance depending on an external magnetic field.At present, however, very large values of AMR have been found in specific materials, such as ZrSiS, at low temperatures and with large external magnetic fields [35].AMR can not only be found in thin films and bulk crystals, but also in nanostructures, and not only in ferromagnetic materials, but also in antiferromagnets and different manganite structures [36,37].In the latter, the temperature dependence of AMR is different from ferromagnets, suggesting the necessity of using a model other than the Mott model in these so-called colossal magnetoresistance (CMR)-doped manganites, one which includes local uniformity [38].

Giant Magnetoimpedance
While magnetoresistance effects are defined by DC resistance measurements, giant magnetoimpedance (GMI) describes the large variation between the real and the imaginary part of the impedance due to an external magnetic field and is usually found in soft magnetic metals [39].Depending on the investigated frequency range, GMI can be attributed to the magneto-inductive effect (low-frequency regime), the variation of the skin depth upon changes to its magnetic permeability (intermediate-frequency regime), or the gyromagnetic effect and ferromagnetic relaxation (high-frequency regime), respectively [40].

Other Magnetic Effects and Sensors
Besides these aforementioned magnetic effects which are often correlated with typical spintronics devices, there are several other possibilities for measuring physical Arrows in the two ferromagnetic regions are determined by the majority-spin subband.The dashed lines show spin-conserving tunneling.Reprinted with permission from [30], copyright (2004) by the American Physical Society.

Anisotropic and Colossal Magnetoresistance
Anisotropic magnetoresistance (AMR), as mentioned before, was firstly found to show only small changes in electric resistance depending on an external magnetic field.At present, however, very large values of AMR have been found in specific materials, such as ZrSiS, at low temperatures and with large external magnetic fields [35].AMR can not only be found in thin films and bulk crystals, but also in nanostructures, and not only in ferromagnetic materials, but also in antiferromagnets and different manganite structures [36,37].In the latter, the temperature dependence of AMR is different from ferromagnets, suggesting the necessity of using a model other than the Mott model in these so-called colossal magnetoresistance (CMR)-doped manganites, one which includes local uniformity [38].

Giant Magnetoimpedance
While magnetoresistance effects are defined by DC resistance measurements, giant magnetoimpedance (GMI) describes the large variation between the real and the imaginary part of the impedance due to an external magnetic field and is usually found in soft magnetic metals [39].Depending on the investigated frequency range, GMI can be attributed to the magneto-inductive effect (low-frequency regime), the variation of the skin depth upon changes to its magnetic permeability (intermediate-frequency regime), or the gyromagnetic effect and ferromagnetic relaxation (high-frequency regime), respectively [40].

Other Magnetic Effects and Sensors
Besides these aforementioned magnetic effects which are often correlated with typical spintronics devices, there are several other possibilities for measuring physical properties using magnetic sensors [22].In the easiest way, induction coils measure AC magnetic fields [41].A much more sensitive magnetometer is the superconducting quantum interference device (SQUID), which consists of a superconducting loop with two Josephson junctions and measures a magnetic field perpendicular to the plane of the loop [42].Other sensors are based on combinations of electric and magnetic fields, such as the magnetoelectric magnetometer [43]; optomechanical effects, such as the cavity optomechanical magnetometer, which can be described as a combination of a Fabry-Pérot optical resonator and a mechanical resonator fixed to a magnetostrictive material [44]; and the magnetoelastic properties of magnetic wires with large magnetostriction constants [45].
Before discussing the different possibilities for constantly measuring health-related body parameters, the next section gives an overview of the different possibilities for the position of magnetic micro and nano sensors in wearables, as well as inside the body for shorter or longer durations.

Positioning Magnetic Micro and Nano Sensors for Continuous Health Monitoring
Micro and nano sensors for continuous health monitoring can be used in wearables, such as a watch or a garment, but they can also be glued on the skin like band-aid, implanted, or used as nano capsules which are swallowed or used as drugs.This section gives a brief overview of these different options for positioning a magnetic sensor near to the human body or inside it.

Magnetic Sensors in Smart Textiles
Smart textiles are often used to measure ECG, pulse, breathing or other body functions [46][47][48].Besides measuring the electric signals on the skin, fiber optic sensors can be used to measure respiration or the bending of joints [49].Of the magnetic sensors, magneto-elastic fibers especially can often easily be integrated into textile fabrics.Zhao et al. reported the integration of soft magnetic fibers, produced from a silicone polymer with embedded nanomagnets, into a woven fabric with conductive silver-coated nylon fibers to form a magneto-elastic generator (MEG) which was able to measure the arterial pulse when worn on the wrist [50].Its working principle, as depicted in Figure 4, is based on the creation of a magnetic field variation upon the deformation of the soft magnetic fibers, which in turn results in induction in the conductive yarns at the yarn intersections.The authors mentioned the advantage of such magnetic sensors' intrinsic humidity resistance, as no direct contact between skin and magnetic material is necessary [50].Similarly, Ding et al. used magnetic/conductive composite fibers as strain sensors with potential uses in smart textiles [51].
magnetic fields [41].A much more sensitive magnetometer is the superconducting quantum interference device (SQUID), which consists of a superconducting loop with two Josephson junctions and measures a magnetic field perpendicular to the plane of the loop [42].Other sensors are based on combinations of electric and magnetic fields, such as the magneto-electric magnetometer [43]; optomechanical effects, such as the cavity optomechanical magnetometer, which can be described as a combination of a Fabry-Pérot optical resonator and a mechanical resonator fixed to a magnetostrictive material [44]; and the magneto-elastic properties of magnetic wires with large magnetostriction constants [45].
Before discussing the different possibilities for constantly measuring health-related body parameters, the next section gives an overview of the different possibilities for the position of magnetic micro and nano sensors in wearables, as well as inside the body for shorter or longer durations.

Positioning Magnetic Micro and Nano Sensors for Continuous Health Monitoring
Micro and nano sensors for continuous health monitoring can be used in wearables, such as a watch or a garment, but they can also be glued on the skin like band-aid, implanted, or used as nano capsules which are swallowed or used as drugs.This section gives a brief overview of these different options for positioning a magnetic sensor near to the human body or inside it.

Magnetic Sensors in Smart Textiles
Smart textiles are often used to measure ECG, pulse, breathing or other body functions [46][47][48].Besides measuring the electric signals on the skin, fiber optic sensors can be used to measure respiration or the bending of joints [49].Of the magnetic sensors, magneto-elastic fibers especially can often easily be integrated into textile fabrics.Zhao et al. reported the integration of soft magnetic fibers, produced from a silicone polymer with embedded nanomagnets, into a woven fabric with conductive silver-coated nylon fibers to form a magneto-elastic generator (MEG) which was able to measure the arterial pulse when worn on the wrist [50].Its working principle, as depicted in Figure 4, is based on the creation of a magnetic field variation upon the deformation of the soft magnetic fibers, which in turn results in induction in the conductive yarns at the yarn intersections.The authors mentioned the advantage of such magnetic sensors' intrinsic humidity resistance, as no direct contact between skin and magnetic material is necessary [50].Similarly, Ding et al. used magnetic/conductive composite fibers as strain sensors with potential uses in smart textiles [51]  Using sewn coils from stranded wires to induce eddy currents in the torso, Teichmann et al. measured breathing and pulse by magnetic induction monitoring, as depicted in Figure 5 [52].Magnetic induction monitoring measures the impedance distribution inside the thorax and enables the evaluation of cardiorespiratory activity from it.For this, ACs are introduced into the sensor coils, which excite AC magnetic fields, Using sewn coils from stranded wires to induce eddy currents in the torso, Teichmann et al. measured breathing and pulse by magnetic induction monitoring, as depicted in Figure 5 [52].Magnetic induction monitoring measures the impedance distribution inside the thorax and enables the evaluation of cardiorespiratory activity from it.For this, ACs are introduced into the sensor coils, which excite AC magnetic fields, which in turn induce eddy currents in the thorax.These eddy currents induce another AC magnetic field which is measured and allows for the evaluation of changes in the thorax that are correlated with changes in the induced magnetic field, i.e., measuring breathing and pulse [52].
Instead of the integration of magnetic fibers into textile fabrics or sewing magnetic fibers onto common fabrics, magnetic sensors can also be added to garments via coating.Zhang et al., e.g., produced a proximity sensor based on magneto-straining effects by coating a spandex substrate in a magnetic layer and a subsequent conductive MXene layer [53].Alternatively, single fibers can be coated in magnetic materials, e.g., by electroless deposition [54].However, in most cases, coils are integrated into garments by sewing or embroidery [55][56][57], while more sophisticated physical principles based on magnetic effects are scarcely found in soft, bendable textile fabrics, but in rigid wearables, as described in the next section.
Micro 2024, 4, FOR PEER REVIEW 6 which in turn induce eddy currents in the thorax.These eddy currents induce another AC magnetic field which is measured and allows for the evaluation of changes in the thorax that are correlated with changes in the induced magnetic field, i.e., measuring breathing and pulse [52].Instead of the integration of magnetic fibers into textile fabrics or sewing magnetic fibers onto common fabrics, magnetic sensors can also be added to garments via coating.Zhang et al., e.g., produced a proximity sensor based on magneto-straining effects by coating a spandex substrate in a magnetic layer and a subsequent conductive MXene layer [53].Alternatively, single fibers can be coated in magnetic materials, e.g., by electroless deposition [54].However, in most cases, coils are integrated into garments by sewing or embroidery [55][56][57], while more sophisticated physical principles based on magnetic effects are scarcely found in soft, bendable textile fabrics, but in rigid wearables, as described in the next section.

Magnetic Sensors in Rigid Wearables
Rigid wearables can be watches, mobile phones or similar equipment that most people use daily, but also separate devices which are preliminarily attached to clothing and could essentially be integrated after their proper miniaturization and transformation into a flexible, textile-based version.
Kunze et al. investigated the possible use of magnetic sensors in smartphones for orientation measurements of people working or doing sports [58].Bian et al. discussed the miniaturization potential of their wearable magnetic field proximity sensor for contact tracing, compared to their prototype, to make it more comfortably wearable [59].
Huang et al. suggested monitoring people while they drive a car using a smartwatch that is tracking magnetic tags in the form of a magnetic ring and a magnetic eyeglasses clip for the head [60].Combining a magnetic ring on the index finger with two triaxial magnetometers in a watch-like system, Friedman et al. measured wrist and hand movement [61].A magnetic earring sensor with an embedded accelerometer was used for photoplethysmography to measure a person's heart rate during daily activities [62].
A vest with polymer boards, on which Hall effect sensors are positioned, was suggested by Wu et al. to track a medical capsule which can be used as a wireless endoscope [63].An improved version with geomagnetic compensation which allows probands to move freely was recently suggested by Fu and Guo [64].
While these wearables are only partly integrated into daily use, in the form of watches and earrings, it is even possible to glue sensors onto the skin, as described in the next sub-section.

Magnetic Sensors in Rigid Wearables
Rigid wearables can be watches, mobile phones or similar equipment that most people use daily, but also separate devices which are preliminarily attached to clothing and could essentially be integrated after their proper miniaturization and transformation into a flexible, textile-based version.
Kunze et al. investigated the possible use of magnetic sensors in smartphones for orientation measurements of people working or doing sports [58].Bian et al. discussed the miniaturization potential of their wearable magnetic field proximity sensor for contact tracing, compared to their prototype, to make it more comfortably wearable [59].
Huang et al. suggested monitoring people while they drive a car using a smartwatch that is tracking magnetic tags in the form of a magnetic ring and a magnetic eyeglasses clip for the head [60].Combining a magnetic ring on the index finger with two triaxial magnetometers in a watch-like system, Friedman et al. measured wrist and hand movement [61].A magnetic earring sensor with an embedded accelerometer was used for photoplethysmography to measure a person's heart rate during daily activities [62].
A vest with polymer boards, on which Hall effect sensors are positioned, was suggested by Wu et al. to track a medical capsule which can be used as a wireless endoscope [63].An improved version with geomagnetic compensation which allows probands to move freely was recently suggested by Fu and Guo [64].
While these wearables are only partly integrated into daily use, in the form of watches and earrings, it is even possible to glue sensors onto the skin, as described in the next sub-section.

Magnetic Sensors Glued on the Skin
Magnetic sensors glued on the skin must be biocompatible, flexible, stretchable and lightweight to avoid discomfort during their use [65].Magnetic tactile sensors enable noncontact displacement sensing through the electromagnetic induction between an AC coil and a sensing target; alternatively, Hall effect or GMR sensors can be used as tactile sensors by measuring changes in the magnetic field or magnetic flux [66].Deformation sensing can also be performed by such a "tactile skin", e.g., one made with elastomeric silicone and embedded magnetic nanoparticles [67].Such tactile skins can not only be used to measure joint bending, etc., or detect undesired strong magnetic fields [68], but can also improve robotic hands [69,70] and smart prosthetics [71,72].Usually, these "skin-like" sensors are flat elastic magnetic composites, as depicted in Figure 6 [73], but there are also other shapes under investigation, such as magnetic "hair" for mechanoreception [74].
sensing can also be performed by such a "tactile skin", e.g., one made with elastomeric silicone and embedded magnetic nanoparticles [67].Such tactile skins can not only be used to measure joint bending, etc., or detect undesired strong magnetic fields [68], but can also improve robotic hands [69,70] and smart prosthetics [71,72].Usually, these "skinlike" sensors are flat elastic magnetic composites, as depicted in Figure 6 [73], but there are also other shapes under investigation, such as magnetic "hair" for mechanoreception [74].While the aforementioned magnetic micro and nano sensors are applied in wearables or to the skin, the next sections will describe the possibility of positioning such sensors or detectable magnetic particles inside the human body, for a limited time or for longer.

Magnetic Sensors in Medical Nano Capsules and for Micro-Deliveries
Magnetic particles and even sensors can be made small enough to be introduced into the bloodstream.Mathieu et al. realized the Magnetic Resonance Submarine (MR-Sub) project, in which blood vessels were examined by moving micro-devices controlled by MRI coils from the perspective of assessing cardiologic diseases.However, they called for a search for new materials, since simple metallic particles in the blood induce thrombi.Nevertheless, drug release in a given place can be supported by thermal, chemical or diffusive effects [75].Bengal et al. used externally applied magnetic field gradients to manipulate the position of magnetic particles ranging in size from 10 nm to 10,000 nm, coming to the conclusion that larger particles move faster, while particles deposited at higher concentrations created longer chains and moved faster as well.The experiment was carried out in vivo using a the intentionally designed chip in which the magnetic field While the aforementioned magnetic micro and nano sensors are applied in wearables or to the skin, the next sections will describe the possibility of positioning such sensors or detectable magnetic particles inside the human body, for a limited time or for longer.

Magnetic Sensors in Medical Nano Capsules and for Micro-Deliveries
Magnetic particles and even sensors can be made small enough to be introduced into the bloodstream.Mathieu et al. realized the Magnetic Resonance Submarine (MR-Sub) project, in which blood vessels were examined by moving micro-devices controlled by MRI coils from the perspective of assessing cardiologic diseases.However, they called for a search for new materials, since simple metallic particles in the blood induce thrombi.Nevertheless, drug release in a given place can be supported by thermal, chemical or diffusive effects [75].Bengal et al. used externally applied magnetic field gradients to manipulate the position of magnetic particles ranging in size from 10 nm to 10,000 nm, coming to the conclusion that larger particles move faster, while particles deposited at higher concentrations created longer chains and moved faster as well.The experiment was carried out in vivo using a the intentionally designed chip in which the magnetic field induction was equal to 0.04 T, with a gradient of 3 T/m, enabling full control of the particles' positions [76].
Magnetically responsive nano-drugs were realized by entrapping magnetic nanocrystals within a polymeric scaffold.By utilizing an external magnetic field, such capsules can be targeted and significantly enhance antitumor therapy [77][78][79].

Magnetic Capsule Endoscopy
Capsule endoscopy was intensively developed further and became, in recent years, the standard tool for the noninvasive imaging of the gastrointestinal tract.Due to the development of miniaturized cameras with micro-sized light sources, as well as wireless communication systems, simple diagnosis, active therapeutics and even surgical tasks became available.Micro-robots can possess internal locomotion-based on legs-or can be externally driven by a hand-held magnet or an externally applied rotating magnetic field.These controlled pills have their own magnet on a board, usually made from neodymiumiron-boron materials.The typical parameters of endoscopic capsules are as follows: an image registration speed of 1-30 frames/s using a CMOS sensor and VGA or HD resolutions, a camera focal length from 30 mm up to 100 mm, a power consumption of about 1-20 mW, a standard supply voltage of 3 V, a carrier frequency > 100 MHz and a data transfer rate of approx.10 Mb/s [80][81][82][83][84].It is worth mentioning that recently developed artificial intelligence (AI) methods play a key role in real-life data analysis and interpretation [85][86][87].

Implanted Magnetic Sensors
Implanting magnetic or other sensors can be the optimum solution for long-term continuous health monitoring or other long-term medical necessities.As a potential application, Tomek et al. mentioned the control of implanted gastric electrical stimulation devices by small implanted coils [88,89].Sensor-integrated implants are a logical continuation of pure implants and can be used to detect the smallest undesired changes of the implant or its environment to enable early intervention [90].O'Connor and Kiourti described wireless sensors implanted together with orthopedic devices, such as implants for joint replacement, which allowed for measuring the health status of the medical device and the surrounding tissue [91].Using magnetoresistive sensors, Han et al. described the position detection of implants [92].
It is also possible to implant a pure sensor without other functional implants.An electromyography sensor system, which gathers signals from 32 implanted myoelectric sensors, was described by Weir et al., who used wireless telemetry to avoid the problems caused by percutaneous wires [93].Taylor et al. used magnetomicrometry to track muscle tissue lengths using magnetic bead implants, e.g., for the control of a prosthetic limb device or for the muscle stimulation of paralyzed muscles, as depicted in Figure 7 [94].Magnetic implants in the lips and tongue can be used for the silent speech recognition of patients who have lost their ability to vocalize due to injury or disease [95].These and other implantable or wearable magnetic micro and nano sensors will be discussed in detail in the next few sections.
the standard tool for the noninvasive imaging of the gastrointestinal tract.Due to the development of miniaturized cameras with micro-sized light sources, as well as wireless communication systems, simple diagnosis, active therapeutics and even surgical tasks became available.Micro-robots can possess internal locomotion-based on legs-or can be externally driven by a hand-held magnet or an externally applied rotating magnetic field.These controlled pills have their own magnet on a board, usually made from neodymium-iron-boron materials.The typical parameters of endoscopic capsules are as follows: an image registration speed of 1-30 frames/s using a CMOS sensor and VGA or HD resolutions, a camera focal length from 30 mm up to 100 mm, a power consumption of about 1-20 mW, a standard supply voltage of 3 V, a carrier frequency > 100 MHz and a data transfer rate of approx.10 Mb/s [80][81][82][83][84].It is worth mentioning that recently developed artificial intelligence (AI) methods play a key role in real-life data analysis and interpretation [85][86][87].

Implanted Magnetic Sensors
Implanting magnetic or other sensors can be the optimum solution for long-term continuous health monitoring or other long-term medical necessities.As a potential application, Tomek et al. mentioned the control of implanted gastric electrical stimulation devices by small implanted coils [88,89].Sensor-integrated implants are a logical continuation of pure implants and can be used to detect the smallest undesired changes of the implant or its environment to enable early intervention [90].O'Connor and Kiourti described wireless sensors implanted together with orthopedic devices, such as implants for joint replacement, which allowed for measuring the health status of the medical device and the surrounding tissue [91].Using magnetoresistive sensors, Han et al. described the position detection of implants [92].
It is also possible to implant a pure sensor without other functional implants.An electromyography sensor system, which gathers signals from 32 implanted myoelectric sensors, was described by Weir et al., who used wireless telemetry to avoid the problems caused by percutaneous wires [93].Taylor et al. used magnetomicrometry to track muscle tissue lengths using magnetic bead implants, e.g., for the control of a prosthetic limb device or for the muscle stimulation of paralyzed muscles, as depicted in Figure 7 [94].Magnetic implants in the lips and tongue can be used for the silent speech recognition of patients who have lost their ability to vocalize due to injury or disease [95].These and other implantable or wearable magnetic micro and nano sensors will be discussed in detail in the next few sections.

Hall Effect Health Monitoring
While Hall sensors are often used in the structural health monitoring of buildings or machines [96][97][98], only a few examples of Hall effect sensors for medical purposes can be found in the scientific literature.Hall effect biosensors were described by Liu et al., who showed that a Hall sensor made from a single graphene layer with guanine-rich DNA immobilized on the graphene's surface had a very high potassium ion specificity and very low detection limit [99]; however, while potassium is an important substance for the human body, this sensor was not developed further for long-term measurements.Cui et al. proposed a similar graphene-based Hall effect biosensor for highly specific and sensitive DNA detection [100].Similarly, Noordin et al. suggested Hall effect sensors for the prediction of water pump failures in hemodialysis units [101].
A wearable Hall effect sensor was suggested by Cheng and Wilson for abnormal gait detection [102].The authors mounted a Hall sensor with a battery and electronics near one knee and a magnet near the other one (Figure 8) to measure step length, leg gap, gait speed and a few other parameters and show that differences between normal and disturbed walking were visible in their probands.
While Hall sensors are often used in the structural health monitoring of buildings or machines [96][97][98], only a few examples of Hall effect sensors for medical purposes can be found in the scientific literature.Hall effect biosensors were described by Liu et al., who showed that a Hall sensor made from a single graphene layer with guanine-rich DNA immobilized on the graphene's surface had a very high potassium ion specificity and very low detection limit [99]; however, while potassium is an important substance for the human body, this sensor was not developed further for long-term measurements.Cui et al. proposed a similar graphene-based Hall effect biosensor for highly specific and sensitive DNA detection [100].Similarly, Noordin et al. suggested Hall effect sensors for the prediction of water pump failures in hemodialysis units [101].
A wearable Hall effect sensor was suggested by Cheng and Wilson for abnormal gait detection [102].The authors mounted a Hall sensor with a battery and electronics near one knee and a magnet near the other one (Figure 8) to measure step length, leg gap, gait speed and a few other parameters and show that differences between normal and disturbed walking were visible in their probands.Jones et al. applied a Hall effect sensor in a splint used to inhibit the movement of an arthritic hand [103].The Hall sensor was used for tactile sensing in the splinting device to support diagnosis and monitor the progression of the disease.The authors placed several sensing elements containing three-axis Hall chips and a magnet, separated by a silicone elastomer, on a hand splint and could measure the hand's closing and opening unambiguously [103].
A watch-like pulsimeter based on the Hall effect was described by Lee et al. [104].The sensor, worn on the wrist, could measure blood pressure and pulse by signal processing, with an error of around max. 20% for 13 patients with normal or high blood pressure.Another pulsimeter that worked using a Hall effect device was described by Son et al., who measured pulse rate and blood pressure [105].Jones et al. applied a Hall effect sensor in a splint used to inhibit the movement of an arthritic hand [103].The Hall sensor was used for tactile sensing in the splinting device to support diagnosis and monitor the progression of the disease.The authors placed several sensing elements containing three-axis Hall chips and a magnet, separated by a silicone elastomer, on a hand splint and could measure the hand's closing and opening unambiguously [103].
A watch-like pulsimeter based on the Hall effect was described by Lee et al. [104].The sensor, worn on the wrist, could measure blood pressure and pulse by signal processing, with an error of around max. 20% for 13 patients with normal or high blood pressure.Another pulsimeter that worked using a Hall effect device was described by Son et al., who measured pulse rate and blood pressure [105].
Especially for people working with magnetic resonance imaging (MRI) scanners, with their strong electromagnetic fields, Delmas et al. suggested a magnetic field exposure monitor that works with three orthogonal Hall sensors to monitor the static magnetic field exposure of MRI workers during a whole day [106].
While these examples show the general usability of Hall sensors for long-term health measurements, other magnetic sensors are more often used for this purpose, as described in the next few sections.

Giant Magnetoresistance Health Monitoring
While the GMR effect is often used in biomedicine, most sensors based on this effect are used in biotechnological assays, i.e., to measure biomolecule concentrations via the detection of magnetic particles [107,108].Antarnusa et al., e.g., used Fe 3 O 4 nanoparticles as magnetic labels attached to streptavidin and α-amylase by polyethylene glycol (PEG) to detect these labeled biomolecules using a GMR sensor [109].To detect the influenza A virus, Krishna et al. used a GMR biosensor functionalized with 3-aminopropyltriethoxy silane (APTES) and glutaraldehyde to enable the capturing of streptadivin-labeled magnetic nanoparticles attached to target antigens, which was found to be even more sensitive than the standard enzyme-linked immunosorbent assay (ELISA) [110].Mostufa et al. described the use of multiplexed assays to detect cancer biomarkers using GMR-based biosensors [111], while Nesvet et al. concentrated on the GMR analysis of circulating tumor DNA epidermal growth factor receptor mutations [112].Other GMR-based assays have aimed at GMR-based measurements of the albumin level in human blood and urine [113] of C-reactive protein, a blood biomarker [114], or generally aimed at creating other multiplex assays for proteins, etc., [115] and other microfluidic devices for the detection of magnetically labeled biomaterials [116].
There have also been, however, several attempts to use GMR sensors for long-term health monitoring.Ha et al. described the possibility of integrating a printed GMR sensor into a 3 µm thin, highly stretchable polymer foil [117].They used a magnetic paste with multilayered [Pu/Cu] 30 microflakes in a poly(styrene-butadiene-styrene) (SBS) elastomer, where the latter serves as a good binder to the polymeric foil.Within this structure, magnetic fields as low as 0.88 mT could be detected.This ultrafine sensor could be directly applied to the skin, as depicted in Figure 9, but it was also proposed for textiles and other wearables [117].
are used in biotechnological assays, i.e., to measure biomolecule concentrations via the detection of magnetic particles [107,108].Antarnusa et al., e.g., used Fe3O4 nanoparticles as magnetic labels attached to streptavidin and α-amylase by polyethylene glycol (PEG) to detect these labeled biomolecules using a GMR sensor [109].To detect the influenza A virus, Krishna et al. used a GMR biosensor functionalized with 3-aminopropyltriethoxy silane (APTES) and glutaraldehyde to enable the capturing of streptadivin-labeled magnetic nanoparticles attached to target antigens, which was found to be even more sensitive than the standard enzyme-linked immunosorbent assay (ELISA) [110].Mostufa et al. described the use of multiplexed assays to detect cancer biomarkers using GMRbased biosensors [111], while Nesvet et al. concentrated on the GMR analysis of circulating tumor DNA epidermal growth factor receptor mutations [112].Other GMR-based assays have aimed at GMR-based measurements of the albumin level in human blood and urine [113] of C-reactive protein, a blood biomarker [114], or generally aimed at creating other multiplex assays for proteins, etc., [115] and other microfluidic devices for the detection of magnetically labeled biomaterials [116].
There have also been, however, several attempts to use GMR sensors for long-term health monitoring.Ha et al. described the possibility of integrating a printed GMR sensor into a 3 μm thin, highly stretchable polymer foil [117].They used a magnetic paste with multilayered [Pu/Cu]30 microflakes in a poly(styrene-butadiene-styrene) (SBS) elastomer, where the latter serves as a good binder to the polymeric foil.Within this structure, magnetic fields as low as 0.88 mT could be detected.This ultrafine sensor could be directly applied to the skin, as depicted in Figure 9, but it was also proposed for textiles and other wearables [117].GMR sensors are often applied for magnetocardiography (MCG), i.e., for magnetic measurements of electric heart activity.An example of such measurements on different torso positions was shown by Pannetier-Lecoeur et al., who compared the electric and magnetic measurements of ECG and MCG, respectively, as depicted in Figure 10 [118].While the ECG signal looks clearer and less noisy, it must be mentioned that the MCG signal was taken with a distance of 25-30 mm between the sensor and skin [118], i.e., avoiding the necessity of skin contact with a very low contact resistance, as is necessary for common ECG measurements in wearables [46,48].Several other researchers have reported similar MCG measurements, usually with the GMR sensor placed outside the clothes of the proband, in this way showing the main advantage of a magnetic measurement as opposed to a common ECG measurement [119][120][121].Besides the MCG or, simply, the pulse rate, other GMR-based sensors have been developed to measure respiration rates [120][121][122] or blood pressure [121,123].
In addition to these cardiovascular parameters, other medical applications of GMR sensors can be found in the literature.Gooneratne et al., e.g., analyzed the distribution of a magnetic fluid used in magnetic fluid hyperthermia (MFH) therapy using a GMR sensor [124].The knowledge of this distribution enabled the optimization of the MFH therapy since the homogeneous heating of a tumor necessitates knowledge of the injected magnetic fluid's distribution.For this application, the GMR probe had to be inserted into the human body via a minimally-invasive operation [124].
for common ECG measurements in wearables [46,48].Several other researchers have reported similar MCG measurements, usually with the GMR sensor placed outside the clothes of the proband, in this way showing the main advantage of a magnetic measurement as opposed to a common ECG measurement [119][120][121].Besides the MCG or, simply, the pulse rate, other GMR-based sensors have been developed to measure respiration rates [120][121][122] or blood pressure [121,123].In addition to these cardiovascular parameters, other medical applications of GMR sensors can be found in the literature.Gooneratne et al., e.g., analyzed the distribution of a magnetic fluid used in magnetic fluid hyperthermia (MFH) therapy using a GMR sensor [124].The knowledge of this distribution enabled the optimization of the MFH therapy since the homogeneous heating of a tumor necessitates knowledge of the injected magnetic fluid's distribution.For this application, the GMR probe had to be inserted into the human body via a minimally-invasive operation [124].
Caruso investigated, in his doctoral thesis, the possibility of the local magnetic detection of neuronal currents and showed some magnetic recordings of neuronal activity in a cat's cerebral cortex using a GMR sensor; however, some questions remained open, such as the difference between the expected and measured signal height as well as the difference between the AC and DC signal height [125].

Tunnel Magnetoresistance Health Monitoring
Tunnel magnetoresistance sensors are especially used to measure low magnetic fields, and they can often be found in biomedical applications [126].Magnetic nanoparticles are used as biomarkers, generating stray fields which influence the magnetic moments in one layer of the TMR element, while the target molecules binding on the nanoparticle surface modify these stray fields and can thus be measured, as Caruso investigated, in his doctoral thesis, the possibility of the local magnetic detection of neuronal currents and showed some magnetic recordings of neuronal activity in a cat's cerebral cortex using a GMR sensor; however, some questions remained open, such as the difference between the expected and measured signal height as well as the difference between the AC and DC signal height [125].

Tunnel Magnetoresistance Health Monitoring
Tunnel magnetoresistance sensors are especially used to measure low magnetic fields, and they can often be found in biomedical applications [126].Magnetic nanoparticles are used as biomarkers, generating stray fields which influence the magnetic moments in one layer of the TMR element, while the target molecules binding on the nanoparticle surface modify these stray fields and can thus be measured, as depicted in Figure 11 [127].Lei et al., e.g., demonstrated measurements of low concentrations of magnetic nanoparticles attached to human chorionic gonadotropin using a TMR sensor [128].In the case of E. coli detection by a TMR biosensor, the bacteria were labeled with magnetic beads, resulting in its high sensitivity and their rapid detection [129].Similarly, carboxyl-modified Fe 3 O 4 nanoparticles with anti-ricin monoclonal antibodies were used for the TMR-based detection of ricin [130], and other biomarkers with magnetic beads as labels have successfully been detected by TMR sensors [131][132][133].It should be mentioned that the detection of magnetite nanoparticles in the air, i.e., of atmospheric pollution, is also possible using TMR sensors [134].
For the detection of the magnetic FeCrNbB nanoparticles in cancer cells, in magnetic hyperthermia therapy, Ghemes et al. suggested a TMR sensor which was tested in a lab environment outside the human body as a proof of concept [135].A TMR sensor in an eyeglass frame was used to detect eye blinking, e.g., was usable for eyelid gesture control, via a thin magnetic strip on the eyelid [136].Alternatively, Tanwear et al. combined a TMR sensor in an eyeglass frame with a small magnet in a contact lens to detect eye movements, which could be used for human-machine interactions [137].using a TMR sensor [128].In the case of E. coli detection by a TMR biosensor, the bacteria were labeled with magnetic beads, resulting in its high sensitivity and their rapid detection [129].Similarly, carboxyl-modified Fe3O4 nanoparticles with anti-ricin monoclonal antibodies were used for the TMR-based detection of ricin [130], and other biomarkers with magnetic beads as labels have successfully been detected by TMR sensors [131][132][133].It should be mentioned that the detection of magnetite nanoparticles in the air, i.e., of atmospheric pollution, is also possible using TMR sensors [134].For the detection of the magnetic FeCrNbB nanoparticles in cancer cells, in magnetic hyperthermia therapy, Ghemes et al. suggested a TMR sensor which was tested in a lab environment outside the human body as a proof of concept [135].A TMR sensor in an eyeglass frame was used to detect eye blinking, e.g., was usable for eyelid gesture control, via a thin magnetic strip on the eyelid [136].Alternatively, Tanwear et al. combined a TMR sensor in an eyeglass frame with a small magnet in a contact lens to detect eye movements, which could be used for human-machine interactions [137].
TMR sensors were also suggested for the detection of implants.Khokle et al. described the high-resolution detection of the micromotion of an orthopedic implant by an eddy current loop coupled with a TMR sensor, enabling the in vivo detection of these micromotions to reduce revision surgeries after the mechanical failure of an implant [138].
Preclinic studies in a swine model showed that a TMR sensor could detect dextrancoated iron oxide nanoparticles injected into the lymph nodes, so that a sentinel lymph node which needs to be removed after metastasis formation could easily be located [139].
Besides GMR and TMR, there are also some health monitoring applications based on AMR, as described in the next section.

Anisotropic Magnetoresistance Health Monitoring
While the AMR effect is smaller than the GMR and TMR effects, AMR sensors can nevertheless resolve magnetic fields below the mT range and are easier to produce since their layer thicknesses are less critical, and permalloy (Py), as a simple material, can be used for their production [140].Since AMR sensors can also be printed, they can be prepared on ultrathin polymer foils, which makes them bendable and usable for on-skin applications [141,142].Oliveros Mata et al. showed that an AMR sensor printed using a magnetic paste of Py/Ta flakes and an SBS copolymer on a thin polymer film could detect sub-mT magnetic fields and did not even change its magnetoresistive properties after TMR sensors were also suggested for the detection of implants.Khokle et al. described the high-resolution detection of the micromotion of an orthopedic implant by an eddy current loop coupled with a TMR sensor, enabling the in vivo detection of these micromotions to reduce revision surgeries after the mechanical failure of an implant [138].
Preclinic studies in a swine model showed that a TMR sensor could detect dextrancoated iron oxide nanoparticles injected into the lymph nodes, so that a sentinel lymph node which needs to be removed after metastasis formation could easily be located [139].
Besides GMR and TMR, there are also some health monitoring applications based on AMR, as described in the next section.

Anisotropic Magnetoresistance Health Monitoring
While the AMR effect is smaller than the GMR and TMR effects, AMR sensors can nevertheless resolve magnetic fields below the mT range and are easier to produce since their layer thicknesses are less critical, and permalloy (Py), as a simple material, can be used for their production [140].Since AMR sensors can also be printed, they can be prepared on ultrathin polymer foils, which makes them bendable and usable for on-skin applications [141,142].Oliveros Mata et al. showed that an AMR sensor printed using a magnetic paste of Py/Ta flakes and an SBS copolymer on a thin polymer film could detect sub-mT magnetic fields and did not even change its magnetoresistive properties after bending and folding, as depicted in Figure 12 [143].Wang et al. even found a detection limit of 150 nT for their flexible AMR sensor [144].The flexibility of an AMR sensor on a Kapton substrate was investigated by Chen et al., who found good anti-fatigue behavior after bending 500 times and suggested using such sensors in wearables for potential healthrelated applications [145].Similarly, Su et al. reported no impact of bending state on the AMR effect of epitaxial CoFe films on flexible mica substrates [146].Combining an AMR sensor with a radio frequency identification (RFID) chip, Sorli et al. could measure variations of the earth's magnetic field and detect movements of the human body from these measurements, by their comparison with recorded motion data, in this way enabling the monitoring of a person's activity during rehabilitation [147].
It should be mentioned that biomedical applications based on the detection of magnetic biomarkers normally do not use AMR sensors, most probably since bending and folding are not necessary in these applications.On the other hand, only a few reports of in vivo measurements with AMR sensors can be found in the literature.Vera et al., e.g., used a biocompatible PDMS-coated AMR sensor as an implantable neural interface to detect the small magnetic signals from neural activity, tested as subcutaneous sensor in a rat model [148].Weitschies et al. measured the disintegration of tablets with iron oxide magnetic markers, in a simulated in vivo environment, by an AMR sensor [149], while other groups used AMR sensors to monitor the solid dosage form of a magnetically labeled dosage in the gastrointestinal tract [150,151].AMR sensors were also used by Placidi et al., who mentioned that GMR sensors would have approx.5× higher sensitivity (~10 µG, as opposed to ~50 µG for AMR devices) but often an integrated flux concentrator in the form of a thin FM layer, which would make directional measurements complicated, which is why they chose AMR devices to follow an endovascular catheterization in vivo [152].Similarly, Paixao et al. combined AMR with AC biosusceptometry to measure gastrointestinal motility and found a high correlation, in in vivo studies, between this system and manometry techniques [153].Arami et al. suggested integrating AMR sensors into the polyethylene insert of a total knee prosthesis combined with a permanent magnet attached to the femoral part of the prosthesis, in this way enabling the collection of kinematic information about the prosthetic knee [154].
Micro 2024, 4, FOR PEER REVIEW 13 bending and folding, as depicted in Figure 12 [143].Wang et al. even found a detection limit of 150 nT for their flexible AMR sensor [144].The flexibility of an AMR sensor on a Kapton substrate was investigated by Chen et al., who found good anti-fatigue behavior after bending 500 times and suggested using such sensors in wearables for potential health-related applications [145].Similarly, Su et al. reported no impact of bending state on the AMR effect of epitaxial CoFe films on flexible mica substrates [146].Combining an AMR sensor with a radio frequency identification (RFID) chip, Sorli et al. could measure variations of the earth's magnetic field and detect movements of the human body from these measurements, by their comparison with recorded motion data, in this way enabling the monitoring of a person's activity during rehabilitation [147].It should be mentioned that biomedical applications based on the detection of magnetic biomarkers normally do not use AMR sensors, most probably since bending and folding are not necessary in these applications.On the other hand, only a few reports of in vivo measurements with AMR sensors can be found in the literature.Vera et al., e.g., used a biocompatible PDMS-coated AMR sensor as an implantable neural interface to detect the small magnetic signals from neural activity, tested as subcutaneous sensor in a rat model [148].Weitschies et al. measured the disintegration of tablets with iron oxide magnetic markers, in a simulated in vivo environment, by an AMR sensor [149], while other groups used AMR sensors to monitor the solid dosage form of a magnetically labeled dosage in the gastrointestinal tract [150,151].AMR sensors were also used by Placidi et al., who mentioned that GMR sensors would have approx.5× higher sensitivity (~10 μG, as opposed to ~50 μG for AMR devices) but often an integrated flux concentrator in the form of a thin FM layer, which would make directional measurements complicated, which is why they chose AMR devices to follow an endovascular catheterization in vivo [152].Similarly, Paixao et al. combined AMR with AC biosusceptometry to measure gastrointestinal motility and found a high correlation, in in vivo studies, between this system and manometry techniques [153].Arami et al. suggested integrating AMR sensors into the polyethylene insert of a total knee prosthesis combined with a permanent magnet attached to the femoral part of the prosthesis, in this way enabling the collection of kinematic information about the prosthetic knee [154].
Besides the aforementioned special applications, only a few reports of in vivo AMR sensor applications can be found in the scientific literature.In particular, MCG and respiratory measurements, which are often performed by GMR sensors, are usually not conducted with AMR sensors.Besides the aforementioned special applications, only a few reports of in vivo AMR sensor applications can be found in the scientific literature.In particular, MCG and respiratory measurements, which are often performed by GMR sensors, are usually not conducted with AMR sensors.

Colossal Magnetoresistance Health Monitoring
Only a few reports on colossal magnetoresistance sensors in the field of health monitoring can be found in the literature.De et al. reported on typical CMR materials, i.e., lanthanum calcium manganite (La 0.7 Sr 0.3 MnO 3 ) with and without Eu 3+ doping, used to show antimicrobial properties without using them in a CMR sensor [155].These La 0.7 Sr 0.3 MnO 3 thin films were also used for body temperature measurements, again without using a CMR sensor [156].The idea of using La 0.7 Sr 0.3 MnO 3 as a thermometer was also discussed by Wu et al., who also measured the CMR effect of their samples, but did not mention its potential application in health monitoring [157].Carlier et al. mentioned that several perovskites showing CMR are lead-free which enables, in principle, their use in vivo, but without giving examples of their health monitoring applications [158].Besides these and very similar studies, no mentions of health monitoring in correlation with CMR were found.

Giant Magnetoimpedance Health Monitoring
Magnetoimpedance sensors can be used for different health monitoring applications, such as the localization of the biomagnetic fields generated by muscles, the heart beat or brain activity [159].Karnaushenko et al., e.g., suggested a new method to realize arrays of GMI sensors to enable magneto-encephalography measurements using GMR-based magnetic field gradiometers [160].To enable respiration monitoring, show a GMI effect [161].It should be mentioned that this system was applied not in wearables, but above the bed of a patient who has a small permanent magnet attached to his breast (cf. Figure 13), whose smallest position changes-e.g., by breathing-could be measured by the GMI sensor at a distance of 3-15 cm [161].Similarly, Wu et al. developed tactile sensors based on GMI sensors [71].

Giant Magnetoimpedance Health Monitoring
Magnetoimpedance sensors can be used for different health monitoring applications, such as the localization of the biomagnetic fields generated by muscles, the heart beat or brain activity [159].Karnaushenko et al., e.g., suggested a new method to realize arrays of GMI sensors to enable magneto-encephalography measurements using GMR-based magnetic field gradiometers [160].To enable respiration monitoring, Thiabgoh et al. suggested a microwire coil magneto-LC resonance sensor with coils from Co69.25Fe4.25Si13B12.5Nb1microwires, which show a GMI effect [161].It should be mentioned that this system was applied not in wearables, but above the bed of a patient who has a small permanent magnet attached to his breast (cf. Figure 13), whose smallest position changes-e.g., by breathing-could be measured by the GMI sensor at a distance of 3-15 cm [161].Similarly, Wu et al. developed tactile sensors based on GMI sensors [71].Kobayashi et al. tested a 64-channel GMI sensor system for MCG measurements in comparison with a SQUID magnetometer and found similar signals, while the GMI system did not necessitate working at liquid helium temperatures in a magnetically shielded room, as the SQUID does [162].
Furthermore, with a very thin and flexible GMI sensor, which could measure magnetic fields from 22 nT to 400 mT, Li et al. could detect the geomagnetic field as well Kobayashi et al. tested a 64-channel GMI sensor system for MCG measurements in comparison with a SQUID magnetometer and found similar signals, while the GMI system did not necessitate working at liquid helium temperatures in a magnetically shielded room, as the SQUID does [162].
Furthermore, with a very thin and flexible GMI sensor, which could measure magnetic fields from 22 nT to 400 mT, Li et al. could detect the geomagnetic field as well as positional relationships between the sensor and a fixed permanent magnet, which they suggested for the rehabilitation training of the fingers' motoric function [68].
Besides these point-of-care-and rehabilitation-related applications of the GMI effect, there are also several biosensors reported in the literature.Both the detection of magnetic markers and label-free detection due to GMI changes from surface modifications are possible, enabling the detection of small amounts of biomolecules [163,164].As an example, Zhu et al. described the detection of cancer biomarkers by an ultra-sensitive GMI sensor [165].Wang et al. showed that a low number of only 10 magnetic beads in a microcavity could be detected by a GMI sensor in contact with this microcavity [166].Many other research groups have reported the detection of magnetic nanoparticles, microbeads or ferrofluids used to magnetically label biomolecules, such as cancer cells [167], C-reactive protein [168] or human papilloma virus [169].

Other Magnetic Effects and Sensors for Health Monitoring
Besides these aforementioned magnetic effects, a few others have occasionally been studied regarding their potential use in health monitoring.
The idea of measuring AC magnetic fields using induction coils was applied by Mahdavi and Rosell-Ferrer to measure the vital signs of a sleeping patient [170].The system was placed under the mattress to avoid disturbing the patient and could measure their breathing and cardiac activity, using two foils for excitation and detection.As a special method, magnetic induction tomography (MIT) should be mentioned, which enables biomedical imaging at lower costs than X-ray tomography and magnetic resonance imaging and without hazardous radiation [171,172]; however, this technique is not suitable for longterm health monitoring.
Magneto-electric sensors can be used for magneto-cardiography, magneto-encephalography, etc. [173][174][175].For magneto-myography (MMG), Zuo et al. simulated and developed, as an alternative to a SQUID, a magneto-electric sensor which enabled the measuring of pT MMG signals [176].Apu et al. described the potential use of magneto-electric nanoparticles in drug delivery, bio-imaging, neural stimulation and other biomedical applications [177].Combining energy harvesting and sensing with a magneto-electric antenna, Das et al. modeled such a hybrid antenna as a potential neural implant [178].
The SQUID, while able to measure very low fields, operates at the temperature of liquid helium and is thus not suitable for wearable applications [162]; however, it can be used as a gold standard for comparison with other biomagnetic measurement methods [179].It is also valid for cavity optomechanical magnetometers [180].

Conclusions and Outlook
Different magnetic sensors can be used for continuous health monitoring.Several of them can be miniaturized to create wearability, either in textile fabrics, watches or glued on the skin, or to enable implantation or transporting them through the human body.The typical magnetic effects which are often used are the Hall effect, GMR, TMR, AMR and GMI, in addition to less often utilized magnetic properties.Due to their specific properties, sensors based on these effects have different advantages and corresponding areas of application, as exemplarily given here: biotechnological assays (Hall effect, GMR, TMR, GMI), gait monitoring and the movement of fingers and other body parts (Hall effect, TMR, AMR, GMI), blood pressure and pulse measurements (Hall effect), magnetocardiography and respiration (GMR, GMI), magnetic nanobead localization in hyperthermia therapy (GMR, TMR), the localization of a catheter in vivo (AMR), the micromotion detection of implants (TMR, AMR), measurements of neural activity (AMR), etc.A brief overview of the sensors discussed in this review, with their respective operation ranges, is given in Table 1.While many applications of these sensors in continuous health monitoring have already been developed, there is still research needed regarding the combination of highersensitivity sensor devices and, at the same time, smaller and more flexible sensors to enable optimum comfort while patients use them on long time scales.In the future, especially the continuous health monitoring of the elderly will become more and more important to enable them living autonomously for as long as possible without the risk of an undetected serious heart problem or other potentially fatal health problems.Besides using magnetic sensors to immediately detect an emergency, magnetic micro and nano sensors can also be expected to be used more and more in cancer treatment and other point-of-care applications to improve medical treatments.

Figure 1 .
Figure 1.Schematic representation of a Hall device.The current I applied along the bar and the magnetic field H perpendicular to the surface result in a Hall voltage due to the force on the negative charge carriers, i.e., the electrons.Reprinted from [25], originally published under a CC-BY license.

Figure 2 .
Figure 2. Schematic representation of the GMR effect in a resistor network model.Reprinted from [29], copyright (2023), with permission from Wiley.

Figure 1 .
Figure 1.Schematic representation of a Hall device.The current I applied along the bar and the magnetic field H perpendicular to the surface result in a Hall voltage due to the force on the negative charge carriers, i.e., the electrons.Reprinted from [25], originally published under a CC-BY license.

Figure 2 .
Figure 2. Schematic representation of the GMR effect in a resistor network model.Reprinted from [29], copyright (2023), with permission from Wiley.

Figure 2 .
Figure 2. Schematic representation of the GMR effect in a resistor network model.Reprinted from [29], copyright (2023), with permission from Wiley.

Figure 3 .
Figure 3. Schematic illustration of electron tunneling in ferromagnet/insulator/ferromagnet (F/I/F) tunnel junctions: (a) Parallel and (b) antiparallel orientation of magnetizations with the corresponding spin-resolved density of the d states in ferromagnetic metals that have exchange spin splitting Δex.Arrows in the two ferromagnetic regions are determined by the majority-spin subband.The dashed lines show spin-conserving tunneling.Reprinted with permission from [30], copyright (2004) by the American Physical Society.

Figure 3 .
Figure 3. Schematic illustration of electron tunneling in ferromagnet/insulator/ferromagnet (F/I/F) tunnel junctions: (a) Parallel and (b) antiparallel orientation of magnetizations with the corresponding spin-resolved density of the d states in ferromagnetic metals that have exchange spin splitting ∆ ex .Arrows in the two ferromagnetic regions are determined by the majority-spin subband.The dashed lines show spin-conserving tunneling.Reprinted with permission from [30], copyright (2004) by the American Physical Society.

Figure 4 .
Figure 4. (a) Schematic design of the textile MEG; (b) schematics of the working mechanism of the textile MEG; (c) photograph of the weaving process on a loom.Reprinted from [50], originally published under a CC-BY license.

Figure 4 .
Figure 4. (a) Schematic design of the textile MEG; (b) schematics of the working mechanism of the textile MEG; (c) photograph of the weaving process on a loom.Reprinted from [50], originally published under a CC-BY license.

Figure 5 .
Figure 5. (a) Three sensors are located at the front and (b) one at the back of the thorax (coil centers are marked); (c) a close-up view of a single sensor.Reprinted from [52], originally published under a CC-BY license.

Figure 5 .
Figure 5. (a) Three sensors are located at the front and (b) one at the back of the thorax (coil centers are marked); (c) a close-up view of a single sensor.Reprinted from [52], originally published under a CC-BY license.

Figure 6 .
Figure 6.(a) Schematic of a stretchable, conformable matrix network applied to the human skin and its sensory receptors; (b) polyimide network for the application of magnetic and other sensor layers (scale bar: 5 mm); (c) scanning electron microscope (SEM) image of the matrix network (scale bar 500 μm).Reprinted from [73], originally published under a CC-BY license.

Figure 6 .
Figure 6.(a) Schematic of a stretchable, conformable matrix network applied to the human skin and its sensory receptors; (b) polyimide network for the application of magnetic and other sensor layers (scale bar: 5 mm); (c) scanning electron microscope (SEM) image of the matrix network (scale bar 500 µm).Reprinted from [73], originally published under a CC-BY license.

Figure 7 .
Figure 7. Applications of magnetomicrometry.When used to track muscle tissue lengths via magnetomicrometry, magnetic bead implants could enable real-time control in human-machine interfaces.(A,B) Magnetic beads implanted into residual muscles could be used to control a prosthetic limb device.(C) When implanted in a weakened muscle, magnetic beads could provide control over an exoskeleton for the restoration or augmentation of joint torque.(D) Magnetic beads in paralyzed muscles could enable closed-loop artificial muscle stimulation for the control of muscle length or force.Reprinted from [94], originally published under a CC-BY license.

Figure 8 .
Figure 8. Prototype of a wearable Hall sensor for gait monitoring.Reprinted from [102], originally published under a CC-BY license.

Figure 8 .
Figure 8. Prototype of a wearable Hall sensor for gait monitoring.Reprinted from [102], originally published under a CC-BY license.

Figure 9 .
Figure 9. (a) Schematic illustration of GMR sensors consisting of [Py/Cu]30 microflakes and a copolymer (SBS) printed on ultrathin foils.SEM image reveals dried GMR paste printed on a Mylar foil.Scale bar: 100 μm.(b) Photograph of printed GMR sensors conformably applied to skin with the curved body part of a finger.(c) Photographs of the sensor glued on a stretched (c-i) and bent (c-ii) wrist.Scale bars: 1 cm.Reprinted from [117], originally published under a CC-BY license.GMR sensors are often applied for magnetocardiography (MCG), i.e., for magnetic measurements of electric heart activity.An example of such measurements on different torso positions was shown by Pannetier-Lecoeur et al., who compared the electric and

Figure 9 .
Figure 9. (a) Schematic illustration of GMR sensors consisting of [Py/Cu] 30 microflakes and a copolymer (SBS) printed on ultrathin foils.SEM image reveals dried GMR paste printed on a Mylar foil.Scale bar: 100 µm.(b) Photograph of printed GMR sensors conformably applied to skin with the curved body part of a finger.(c) Photographs of the sensor glued on a stretched (c-i) and bent (c-ii) wrist.Scale bars: 1 cm.Reprinted from [117], originally published under a CC-BY license.

Figure 10 .
Figure 10.MCG signals measured at multiple locations on a single subject.The enclosed MCG trace is shown, enlarged, alongside the ECG signal.Passband 0.1-40 Hz.The position of the traces with respect to the heart is only approximate.Reprinted from [118], copyright (2011), with permission from AIP.

Figure 10 .
Figure 10.MCG signals measured at multiple locations on a single subject.The enclosed MCG trace is shown, enlarged, alongside the ECG signal.Passband 0.1-40 Hz.The position of the traces with respect to the heart is only approximate.Reprinted from [118], copyright (2011), with permission from AIP.

Figure 11 .
Figure 11.Schematic illustration of biomolecule detection mechanism.Reprinted from [127], originally published under a CC-BY license.

Figure 11 .
Figure 11.Schematic illustration of biomolecule detection mechanism.Reprinted from [127], originally published under a CC-BY license.

Figure 12 .
Figure 12.(a) Bending states of the sensor and (b) its respective AMR responses, measured at ± 400 mT.Reprinted from [143], originally published under a CC-BY license.

Figure 12 .
Figure 12.(a) Bending states of the sensor and (b) its respective AMR responses, measured at ±400 mT.Reprinted from [143], originally published under a CC-BY license.

Figure 13 .
Figure 13.(a) An equivalent circuit; (b) experimental setup for a magnetic coil sensor; (c) principle operation of magnetic microwire coil based on the GMI effect for a noncontact respiration rate monitoring device.Reprinted with permission from [161], copyright (2017) by Elsevier.

Figure 13 .
Figure 13.(a) An equivalent circuit; (b) experimental setup for a magnetic coil sensor; (c) principle operation of magnetic microwire coil based on the GMI effect for a noncontact respiration rate monitoring device.Reprinted with permission from [161], copyright (2017) by Elsevier.
Thiabgoh et al. suggested a microwire coil magneto-LC resonance sensor with coils from Co 69.25 Fe 4.25 Si 13 B 12.5 Nb 1 microwires, which

Table 1 .
Overview of magnetic micro and nano sensors for health monitoring.