Next Article in Journal
Detection of Pesticide Residues Using Three-Dimensional SERS Substrate Based on CNTs/Ag/AgNWs/SiO2
Previous Article in Journal
Design of an Interactive Exercise and Leisure System for the Elderly Integrating Artificial Intelligence and Motion-Sensing Technology
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

A Cost-Effective Method for the Spectral Calibration of Photoplethysmography Pulses: The Optimal Wavelengths for Heart Rate Monitoring

by
Vinh Nguyen Du Le
*,
Sophia Fronckowiak
and
Elizabeth Badolato
Department of Physics and Astronomy, University of Alabama in Huntsville, Huntsville, AL 35899, USA
*
Author to whom correspondence should be addressed.
Sensors 2025, 25(7), 2311; https://doi.org/10.3390/s25072311
Submission received: 16 March 2025 / Revised: 28 March 2025 / Accepted: 4 April 2025 / Published: 5 April 2025

Abstract

:
A photoplethysmography (PPG) pulse in reflection mode represents the change in diffuse reflectance at the skin surface during a cardiac cycle and is commonly used in wearable devices to monitor heart rate. Commercial PPG sensors often rely on the reflectance signal from light sources at two different wavelength regions, green, such as λ = 523 nm, and near infrared (NIR), such as λ = 945 nm. Early in vivo studies of wearable sensors showed that green light is more beneficial than NIR light in optimizing PPG sensitivity. This contradicts the common trends in the standard near infrared spectroscopy techniques, which rely on the long optical pathlengths at NIR wavelengths to achieve optimal depth sensitivity. To quantitatively analyze the spectral characteristics of PPG across the wavelength region of 500–900 nm in a controlled environment, this study performs the spectral measurement of PPG signals using a simple and cost-effective optical phantom model with two distinct layers and a customized diffuse reflectance spectroscopy system. In addition, Monte Carlo simulations are used to elaborate the underlying phenomena at the green and NIR wavelengths when considering different epithelial thicknesses and source–detector distances (SDD).

1. Introduction

Photoplethysmography (PPG) is a non-invasive and cost-effective optical technique that can detect blood volume changes between the systolic and diastolic phases of the cardiac cycle and is commonly used in wearable devices to monitor heart rate and to track physical activity [1,2]. Generally, blood volume increases in the systolic phase, resulting in an increase in the absorbance of light (decrease in reflectance) in tissue compared to that in the diastolic phase. Most wearable devices measure PPG in reflection mode by utilizing light sources at two different wavelengths (green at 523 nm and near infrared or NIR between 900 and 1000 nm) and multiple detectors located between 2.4 mm and 5.5 mm from the sources [3]. Using non-linear time series analysis for the chaotic analysis of reflectance PPG from finger PPG sensors, early studies showed that both green PPG and NIR PPG are chaotic, while the green PPG dynamics are more complex than those of NIR PPG, and both can be used in different applications, including heart rate and mental and physiological health monitoring [4]. Other in vivo studies also showed that green PPG correlates better with electrocardiogram (ECG) than NIR PPG [5,6] and that green PPG produces higher-diastolic-pressure components than NIR PPG during heat stress [7]. Though the effects of detector geometries, source-detector distances (SDD), skin anatomy, and skin tones were not studied in these earlier experimental studies, they have been investigated using computational models [3,8,9,10]. Focusing on long source–detector distances (SDD > 2.0 mm), Ajmal et al. showed that NIR light underperforms in obese individuals, yielding a lower PPG signal than that of green light [3]. They argued that the reduced absorbance of blood within the vessels in the NIR range lead to this poor performance. Simulating a layer of blood in skin, Laipitan et al. showed that green PPG is significantly better than NIR PPG in most cases [8]. In our previous studies, the simulations also showed a similar trend [9], which contradicts the common practice of standard NIR spectroscopy in studying brain activities, where better brain activation is known to be associated with long partial pathlengths in the brain at NIR wavelengths [10,11,12].
In this paper, we perform PPG pulses measurement in the wavelength region of 450–900 nm on two-layered hemoglobin-based phantoms using a customized diffuse reflectance spectroscopy system. Subsequently, the dependence of PPG signal on wavelengths and epidermal thickness is observed, while the advantages of PPG at short wavelengths over PPG at NIR wavelengths is demonstrated. To investigate the role of photon partial pathlength on PPG sensitivity, we extend our previous modeling effort [9] to compute both the PPG and photon pathlengths in reflectance mode, while considering three different epidermal thicknesses and four different SDD at both the NIR and green wavelengths. This study will provide a complete guideline to improve heart rate monitoring in optical wearables.

2. Methods

2.1. Optical Phantoms for PPG Measurement

Though recent studies have developed novel pulsatile optical phantoms to calibrate PPG waveforms [13,14,15,16], the procedures are complicated, associated with a high cost, and often lack of the signature absorption of hemoglobin for the accurate evaluation of PPG signals over a broadband of wavelengths. Here, simple gel-based optical phantoms with two distinct layers are produced for the spectral calibration of PPG. While gel-based phantoms have widely been used to create optical phantoms, their application was limited to studying the accuracy of the inverse models in measuring layered optical properties [17,18,19,20]. Here, the PPG waveform and the AC/DC signal are the main targets. The optical phantoms are constructed with deionized water, agarose (Type VII, Sigma-Aldrich, St. Louis, MO, USA), Intralipid (I141, Sigma Aldrich, St. Louis, MO, USA), black India ink (Chartpak Inc., Leeds, MA, USA), and FDA-approved human whole blood (Innovative Research, Novi, MI, USA). The selected agar type has high gel strength and 100% transmittance [21]. The main absorber of the top layer is ink, whereas the main absorber of the bottom layer is hemoglobin (Hb). India ink is used for its similar absorption spectral shape to that of melanin found in the epidermis, whereas Intralipid is commonly used to simulate tissue scattering [21,22,23,24,25,26,27,28]. Like previous studies, the absorption coefficients (μa) of ink and hemoglobin are calculated by applying Beer-Lambert’s law to the measured transmission using a spectrophotometer (Unico, Cole Parmer, Vernon Hills, IL, USA) [21,22], and a PPG pulse is calculated by taking the negative logarithm of diffuse reflectance [9]. To simulate the full PPG waveform (determined by the change in blood volume over a cardiac cycle), a set of seven phantoms whose bottom layers carried different hemoglobin concentrations is used (Figure 1a–c).
The production of phantoms begins with the preparation of stock gel solution with a concentration of 2.5% w/v by dissolving Agar in distilled water at 65 °C for 30 min. Concentrated Agar solution is then added to the freshly made mixtures of hemoglobin and lipid or ink and lipid, which are preheated to the same temperature in 30 s. All measurements are performed within 30 min after the phantoms are made. The bottom layer is made by pouring the mixture of Hb, lipid, and gel into a plastic mold with a cross-sectional area of 3 × 3 cm2 and a depth of 4 cm (Figure 1a). The top layer is made by embedding the mixture of ink, lipid, and gel between two microscope glass slides, which are separated by a glass coverslip of thickness 0.20 mm. Lastly, the top layer is cut and transferred the top of the bottom layer to create a two-layer phantom (Figure 1b). In all the phantoms, the final concentrations of agar and lipid are 1% w/v, whereas final concentration of ink is 1% v/v. Here, PPG pulses are measured when the top layer thickness (D) is 0 and 0.20 mm.
Figure 1d,e summarize the optical properties of these phantoms. The reduced scattering (μs′) of lipid 1% was extracted from our previous work [22]. To calculate the mean values and standard deviations (which are later shown as error bars), three separate sets of phantoms are made. This is equivalent to a total of 42 phantoms for all D values. The cost of chemicals, including agar, ink, blood, and Intralipid, used to fabricate these 42 phantoms is within USD 40. In addition, the volume of these phantoms satisfies the semi-infinite condition for photon migration. This is estimated by comparing the phantom dimensions to the diffusion theory’s effective penetration depth [29,30], which is approximately 0.1 cm at the lowest level of attenuation (wavelength of 900 nm) in this case.

2.2. Instrumentations: Broadband Reflectance Spectroscopy System

As shown in Figure 2, the customized reflectance spectroscopy system incorporates a stabilized quartz Tungsten-Halogen source (SLS302, Thorlabs, Newton, NJ, USA), a lens array (EF 75–300 mm, Thorlabs, Newton, NJ, USA), a collimator (PAF2S—A7A, Thorlabs, Newton, NJ, USA), a customized fiber optics bundle with a source–detector distance (SDD) of approximately 0.5 mm, a spectrophotometer (HDX-VIS-NIR, Ocean Optics Inc., Orlando, FL, USA), a fiber mount to hold the sample leg of the probe, and a PC with MATLAB v2024a software for instrument control and data analysis. Like the other studies [24,26,31,32,33,34], the diffuse reflectance signal (DRS) is calculated by dividing the reflected intensity collected with the detection fibers from the phantom to that from a Spectralon® target of 99% reflectance factors in the wavelength region of 450–900 nm (Labsphere Inc., North Sutton, NH, USA). Unlike other studies [24,26,31,32,33,34], this paper does not focus on solving for optical properties, but rather on measuring the PPG pulses and studying their spectral dependence.

2.3. Monte Carlo Simulations

To support the spectral PPG trends observed in phantom measurement, as well as in the previous in vivo studies, Monte Carlo eXtreme (MCX) method [15] is used to compute both the PPG and mean photon pathlengths in the skin at wavelengths of 523 nm (green) and 945 nm (NIR). MCX is utilized for its compatibility with common graphic processing units (GPUs), computational speed, and abilities to simulate photon migration in complex biological media [35,36,37,38,39,40,41,42,43,44]. A previous model is utilized to simulate human skin consisting of the epidermis, dermis, and blood vessels in the dermis coded as cylinders [9]. The diameter of these cylinder is varied to simulate a PPG pulse. The optical properties for skin type 6 [3] are used in the simulations. To observe the relative trends (PPG as a function of wavelengths), the values of the simulated optical properties do not need to be the same as those of the phantoms because of the chromophores’ similar spectral shapes (i.e., blood, or ink vs. melanin, or Intralipid vs. tissue scattering). Epidermal thicknesses of 50, 100, and 150 µm are considered for the various body types [45,46,47,48,49,50,51,52,53,54], while detectors located at source–detector distances (SDD) of 1, 2, 3, and 4 mm are studied.
The number of photons launched is selected to achieve approximately 6 million photons detected for each wavelength at each SDD. A Gaussian source with a beam diameter of 0.4 mm and a series of three detectors with radii of 0.3 mm at each SDD are placed on the skin surface. Figure 3a shows a schematic for the placement of detectors relative to the source. The simulations are performed on an Dual GeForce RTX 2080 GPU (NVIDIA Co., Santa Clara, CA, USA) and take approximately 7.4 h to launch 28 billion photons when SDD = 4 mm. The simulated tissue volume is 2 × 4.7 × 1.1 mm3 (X-Y-Z), with a voxel size of 2 µm. As demonstrated in Figure 3, to simulate the AC and DC of the cardiac cycle, the vessels of two different diameters are simulated: 75 µm (systole) and 117 µm (diastole). The cross-sectional vessel density is 33.75 vessels/mm2, which is within the range found in the literature [55,56].
The mean optical pathlength (MOP) is calculated using Equation (1), where i represents the tissue layer, j represents the detected photon, l is the optical pathlength recorded with MCX, and w is the photon weight.
MOP = i j l i , j   w i , j / i j w i , j
The quality of the PPG signal is evaluated through the AC/DC ratio, which is calculated from the logarithms of the diffuse reflectance signal (DRS). This concept is illustrated in Equation (2), where the maximum (max) value corresponds to the diastolic phase and the minimum (min) value corresponds to the systolic phase.
A C / D C = 100 % × max l o g D R S min l o g D R S / min l o g D R S

3. Results

3.1. Phantom Measurement: PPG as a Function of Wavelength

Figure 4 shows the averaged measurements from each of the three sets of optical phantoms when D = 0 (Figure 4a–c) and D = 0.20 mm (Figure 4d–f). Overall, the DRS decreases when the Hb concentration increases (Figure 4a,d), with some exceptions where the Hb concentrations are low and close to one another, introducing larger errors especially at long wavelengths. To obtain the PPG waveforms, the negative logarithms of DRS for each phantom are calculated and plotted as a function time (scaled accordingly to the Hb concentration) at the selected wavelengths (Figure 4b,e). As expected, the PPG signal improves when D increases (Figure 4b vs. Figure 4e), with a significant decrease at the short wavelengths. For example, AC/DC at 450 nm decreases about 67% when D increases from 0 to 0.20 mm. This number is less than 10% wavelength of 900 nm. In addition, the shorter wavelengths (400–500 nm) yield a higher AC/DC than the longer wavelengths (700–900 nm) at D = 0. This is because strong Hb absorption produces a high AC/DC for short wavelengths at D = 0, though this phenomenon becomes less effective when D increases. Moreover, at both the thicknesses, the wavelengths between 540 and 580 nm produce better PPG signals than the NIR wavelengths.

3.2. PPG vs. MOP at Green and NIR Wavelengths

Figure 5 plots AC/DC as a function of the MOP when λ = 523 nm (Figure 5a) and λ = 945 nm (Figure 5b), considering the different D values and the different SDD values. Within each group of SDD, when the epidermal thickness increases from 50 to 150 µm, green PPG decreases significantly, while NIR PPG decreases slowly. As the SDD increases (MOP increases), green PPG increases significantly, while NIR PPG increases slowly. This phenomenon resembles NIRS studies of the brain, where brain sensitivity increases with the SDD [57]. However, when moving from green to NIR wavelengths, the trends may oppose. In particular, when SDD > 2 mm and D < 150 µm, green light produces a better PPG signal despite having a shorter MOP than that of NIR light. For example, when D = 100 µm and SDD = 4 mm, green AC/DC is 29% higher than NIR AC/DC, whereas the green MOP is 30% lower than the NIR MOP. At the thickest epidermis and SDD = 4 mm, NIR light performs no more than 8% better than green light.

4. Discussion and Conclusions

Using simple and cost-effective phantoms made of well-established chromophores, the PPG pulses are successfully simulated and measured at the two different top layer thicknesses. Although seven phantoms are used to demonstrate how a PPG pulse can be simulated, only two phantoms are needed (one at AC and one at DC) to calibrate the PPG signal (AC/DC). In addition, previous studies showed that the spectral shape of similar gel-based phantoms is stable over 2 weeks if stored at 4C degrees and can be reused [21], further demonstrating the cost-effectiveness of the current calibration method.
Both the phantom measurement (Figure 4) and the simulations (Figure 5) in this work further confirm that green PPG is better than NIR PPG when the epidermal thickness is small [8] and that increasing epidermal thickness significantly deteriorates the green PPG signal, while slightly deteriorating the NIR PPG signal. While the wavelengths within 520–540 nm are still within the green perception of normal optics nerves, the phantom measurement shows that wavelength of 540 nm may produce a better PPG signal than that of 523 nm due to the Hb peak at 540 nm. In addition, PPG at wavelength of 580 nm (a secondary Hb peak) may be useful, though it is well within the error bars of green PPG. These observations are in agreement with previous simulations on non-compressed skin model [58]. While the experimental measurements are limited to SDD = 0.5 mm, Monte Carlo simulations extend the understanding of similar observations to include longer SDD. Moreover, the simulations show that increasing the SDD improves the green PPG signal dramatically, while improving NIR PPG slightly. Though the phantom measurement is limited by several factors, including the wavelength region from 450 nm to 900 nm and a short SDD (0.5 mm), the experimental trends agree well with the simulated trends, and both demonstrate the clear advantage of shorter wavelengths over NIR wavelengths when studying PPG signals.
On the other hand, by comparing the simulated AC/DC and MOP, we can make qualitative suggestions to improve PPG in commercial wearable devices. While our previous studies offered the ultimate solution to improve heart rate monitoring with time-of-flight PPG [14], this study offers the following additional and simpler methods to improve steady-state continuous wave PPG: (1) increase the MOP by increasing the source–detector distance because blood determines the shape of the PPG pulse and is confined within vessels that are only found (or as simulated) in the dermis and (2) use a shorter wavelength, where blood absorption is more dominant. In future work, we will focus on re-designing the fiber probe to include larger SDDs (up to 4 mm), adding more spectrometers to allow for the simultaneous calculation of PPG at different SDDs and extend studies to in vivo measurement.

Author Contributions

Conceptualization, V.N.D.L.; methodology, V.N.D.L.; software, V.N.D.L. and S.F.; validation, V.N.D.L. and S.F.; formal analysis, V.N.D.L., S.F. and E.B.; investigation, V.N.D.L. and S.F.; resources, V.N.D.L.; data curation, V.N.D.L., S.F. and E.B.; writing—original draft preparation, V.N.D.L.; writing—review and editing V.N.D.L.; visualization, V.N.D.L.; supervision, V.N.D.L.; project administration, V.N.D.L.; funding acquisition, V.N.D.L. All authors have read and agreed to the published version of the manuscript.

Funding

This work is partially funded by the NASA EPSCoR Program.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data are available upon reasonable request.

Conflicts of Interest

The authors declare no conflicts of interest.

References

  1. Dhingra, L.S.; Aminorroaya, A.; Oikonomou, E.K.; Nargesi, A.A.; Wilson, F.P.; Krumholz, H.M.; Khera, R. Use of Wearable Devices in Individuals with or at Risk for Cardiovascular Disease in the US, 2019 to 2020. JAMA Netw. Open 2023, 6, e2316634. [Google Scholar] [CrossRef] [PubMed]
  2. Holko, M.; Litwin, T.R.; Munoz, F.; Theisz, K.I.; Salgin, L.; Jenks, N.P.; Holmes, B.W.; Watson-McGee, P.; Winford, E.; Sharma, Y. Wearable fitness tracker use in federally qualified health center patients: Strategies to improve the health of all of us using digital health devices. NPJ Digit. Med. 2022, 5, 53. [Google Scholar] [CrossRef]
  3. Ajmal; Boonya-Ananta, T.; Rodriguez, A.J.; Du Le, V.N.; Ramella-Roman, J.C. Monte Carlo analysis of optical heart rate sensors in commercial wearables: The effect of skin tone and obesity on the photoplethysmography (PPG) signal. Biomed. Opt. Express 2021, 12, 7445–7457. [Google Scholar] [CrossRef]
  4. Sviridova, N.; Zhao, T.; Aihara, K.; Nakamura, K.; Nakano, A. Photoplethysmogram at green light: Where does chaos arise from? Chaos Solitons Fractals 2018, 116, 157–165. [Google Scholar]
  5. Gailite, L.; Spigulis, J.; Lihachev, A. Multilaser photoplethysmography technique. Lasers Med. Sci. 2008, 23, 189–193. [Google Scholar]
  6. Lee, J.; Matsumura, K.; Yamakoshi, K.-I.; Rolfe, P.; Tanaka, S.; Yamakoshi, T. Comparison between red, green and blue light reflection photoplethysmography for heart rate monitoring during motion. In Proceedings of the 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), Osaka, Japan, 3–7 July 2013; pp. 1724–1727. [Google Scholar]
  7. Maeda, Y.; Sekine, M.; Tamura, T. The advantages of wearable green reflected photoplethysmography. J. Med. Syst. 2011, 35, 829–834. [Google Scholar]
  8. Lapitan, D.G.; Tarasov, A.P.; Shtyflyuk, M.E.; Rogatkin, D.A. On the Origin of the Photoplethysmography Signal: Modeling of Volumetric and Aggregation Effects. Photonics 2024, 11, 637. [Google Scholar] [CrossRef]
  9. Badolato, E.; Little, A.; Du Le, V. Improving heart rate monitoring in the obese with time-of-flight photoplethysmography (TOF-PPG): A quantitative analysis of source-detector-distance effect. Opt. Express 2024, 32, 4446–4456. [Google Scholar]
  10. Okada, E.; Delpy, D.T. Near-infrared light propagation in an adult head model. II. Effect of superficial tissue thickness on the sensitivity of the near-infrared spectroscopy signal. Appl. Opt. 2003, 42, 2915–2921. [Google Scholar]
  11. Ferrari, M.; Quaresima, V. A brief review on the history of human functional near-infrared spectroscopy (fNIRS) development and fields of application. Neuroimage 2012, 63, 921–935. [Google Scholar]
  12. Scholkmann, F.; Wolf, M. General equation for the differential pathlength factor of the frontal human head depending on wavelength and age. J. Biomed. Opt. 2013, 18, 105004. [Google Scholar]
  13. Ma, H.; Angelone, D.; Guadagno, C.N.; Andersson-Engels, S.; Konugolu Venkata Sekar, S. Light-guided dynamic phantom to mimic microvasculature for biomedical applications: An exploration for pulse oximeter. J. Biomed. Opt. 2024, 29, S33312. [Google Scholar]
  14. Nomoni, M.; May, J.M.; Kyriacou, P.A. Novel polydimethylsiloxane (PDMS) pulsatile vascular tissue phantoms for the in-vitro investigation of light tissue interaction in photoplethysmography. Sensors 2020, 20, 4246. [Google Scholar] [CrossRef]
  15. Karimpour, P.; Ferizoli, R.; May, J.M.; Kyriacou, P.A. Customisable Silicone Vessels and Tissue Phantoms for In Vitro Photoplethysmography Investigations into Cardiovascular Disease. Sensors 2024, 24, 1681. [Google Scholar] [CrossRef] [PubMed]
  16. Bhusal, A.; Farahmand, M.; Hasan, M.S.; Vasudevan, S.; Vogt, W.C.; Ibarra, B.; Weininger, S.; Scully, C.G.; Frank Zhang, X.; Chen, Y. Development and characterization of silicone-based tissue phantoms for pulse oximeter performance testing. J. Biomed. Opt. 2024, 29, S33314. [Google Scholar]
  17. Fredriksson, I.; Saager, R.B.; Durkin, A.J.; Strömberg, T. Evaluation of a pointwise microcirculation assessment method using liquid and multilayered tissue simulating phantoms. J. Biomed. Opt. 2017, 22, 115004. [Google Scholar]
  18. Geldof, F.; Dashtbozorg, B.; Hendriks, B.H.; Sterenborg, H.J.; Ruers, T.J. Layer thickness prediction and tissue classification in two-layered tissue structures using diffuse reflectance spectroscopy. Sci. Rep. 2022, 12, 1698. [Google Scholar]
  19. Mustari, A.; Nishidate, I.; Wares, M.A.; Maeda, T.; Kawauchi, S.; Sato, S.; Sato, M.; Aizu, Y. Agarose-based tissue mimicking optical phantoms for diffuse reflectance spectroscopy. J. Vis. Exp. JoVE 2018, 138, 57578. [Google Scholar]
  20. Wang, Q.; Yang, H.; Agrawal, A.; Wang, N.S.; Pfefer, T.J. Measurement of internal tissue optical properties at ultraviolet and visible wavelengths: Development and implementation of a fiberoptic-based system. Opt. Express 2008, 16, 8685–8703. [Google Scholar]
  21. Du Le, V.N.; Manser, M.; Gurm, S.; Wagner, B.; Hayward, J.E.; Fang, Q. Calibration of spectral imaging devices with oxygenation-controlled phantoms: Introducing a simple gel-based hemoglobin model. Front. Phys. 2019, 7, 192. [Google Scholar]
  22. Du Le, V.N.; Nie, Z.; Hayward, J.E.; Farrell, T.J.; Fang, Q. Measurements of extrinsic fluorescence in Intralipid and polystyrene microspheres. Biomed. Opt. Express 2014, 5, 2726–2735. [Google Scholar] [CrossRef]
  23. Du Le, V.N.; Patterson, M.S.; Farrell, T.J.; Hayward, J.E.; Fang, Q. Experimental recovery of intrinsic fluorescence and fluorophore concentration in the presence of hemoglobin: Spectral effect of scattering and absorption on fluorescence. J. Biomed. Opt. 2015, 20, 127003. [Google Scholar]
  24. Du Le, V.N.; Provias, J.; Murty, N.; Patterson, M.S.; Nie, Z.; Hayward, J.E.; Farrell, T.J.; McMillan, W.; Zhang, W.; Fang, Q. Dual-modality optical biopsy of glioblastomas multiforme with diffuse reflectance and fluorescence: Ex vivo retrieval of optical properties. J. Biomed. Opt. 2017, 22, 27002. [Google Scholar] [CrossRef]
  25. Du Le, V.N.; Wang, Q.; Gould, T.; Ramella-Roman, J.C.; Pfefer, T.J. Vascular contrast in narrow-band and white light imaging. Appl. Opt. 2014, 53, 4061–4071. [Google Scholar] [CrossRef] [PubMed]
  26. Wang, Q.; Du Le, V.N.; Ramella-Roman, J.; Pfefer, J. Broadband ultraviolet-visible optical property measurement in layered turbid media. Biomed. Opt. Express 2012, 3, 1226–1240. [Google Scholar] [CrossRef]
  27. Pogue, B.W.; Patterson, M.S. Review of tissue simulating phantoms for optical spectroscopy, imaging and dosimetry. J. Biomed. Opt. 2006, 11, 041102. [Google Scholar]
  28. Nichols, B.S.; Rajaram, N.; Tunnell, J.W. Performance of a lookup table-based approach for measuring tissue optical properties with diffuse optical spectroscopy. J. Biomed. Opt. 2012, 17, 057001. [Google Scholar]
  29. Cuccia, D.J.; Bevilacqua, F.; Durkin, A.J.; Ayers, F.R.; Tromberg, B.J. Quantitation and mapping of tissue optical properties using modulated imaging. J. Biomed. Opt. 2009, 14, 024012. [Google Scholar]
  30. Cuccia, D.J.; Bevilacqua, F.; Durkin, A.J.; Tromberg, B.J. Modulated imaging: Quantitative analysis and tomography of turbid media in the spatial-frequency domain. Opt. Lett. 2005, 30, 1354–1356. [Google Scholar]
  31. Bargo, P.R.; Prahl, S.A.; Goodell, T.T.; Sleven, R.; Koval, G.; Blair, G.; Jacques, S.L. In vivo determination of optical properties of normal and tumor tissue with white light reflectance and an empirical light transport model during endoscopy. J. Biomed. Opt. 2005, 10, 034018. [Google Scholar] [CrossRef]
  32. Lue, N.; Kang, J.W.; Yu, C.-C.; Barman, I.; Dingari, N.C.; Feld, M.S.; Dasari, R.R.; Fitzmaurice, M. Portable optical fiber probe-based spectroscopic scanner for rapid cancer diagnosis: A new tool for intraoperative margin assessment. PLoS ONE 2012, 7, e30887. [Google Scholar]
  33. Šćepanović, O.R.; Fitzmaurice, M.; Miller, A.; Kong, C.-R.; Volynskaya, Z.; Dasari, R.R.; Kramer, J.R.; Feld, M.S. Multimodal spectroscopy detects features of vulnerable atherosclerotic plaque. J. Biomed. Opt. 2011, 16, 011009. [Google Scholar]
  34. Shalaby, N.; Al-Ebraheem, A.; Du Le, V.N.; Cornacchi, S.; Fang, Q.; Farrell, T.; Lovrics, P.; Gohla, G.; Reid, S.; Hodgson, N. Time-resolved fluorescence (TRF) and diffuse reflectance spectroscopy (DRS) for margin analysis in breast cancer. Lasers Surg. Med. 2018, 50, 236–245. [Google Scholar]
  35. Fang, Q.; Boas, D.A. Monte Carlo simulation of photon migration in 3D turbid media accelerated by graphics processing units. Opt. Express 2009, 17, 20178–20190. [Google Scholar]
  36. Yan, S.; Fang, Q. Hybrid mesh and voxel based Monte Carlo algorithm for accurate and efficient photon transport modeling in complex bio-tissues. Biomed. Opt. Express 2020, 11, 6262–6270. [Google Scholar]
  37. Yu, L.; Nina-Paravecino, F.; Kaeli, D.; Fang, Q. Scalable and massively parallel Monte Carlo photon transport simulations for heterogeneous computing platforms. J. Biomed. Opt. 2018, 23, 010504. [Google Scholar]
  38. Yuan, Y.; Yu, L.; Doğan, Z.; Fang, Q. Graphics processing units-accelerated adaptive nonlocal means filter for denoising three-dimensional Monte Carlo photon transport simulations. J. Biomed. Opt. 2018, 23, 121618. [Google Scholar]
  39. Fang, Q.; Yan, S. Graphics processing unit-accelerated mesh-based Monte Carlo photon transport simulations. J. Biomed. Opt. 2019, 24, 115002. [Google Scholar]
  40. Shin, H.; Jeong, S.; Lee, J.-H.; Sun, W.; Choi, N.; Cho, I.-J. 3D high-density microelectrode array with optical stimulation and drug delivery for investigating neural circuit dynamics. Nat. Commun. 2021, 12, 492. [Google Scholar] [CrossRef]
  41. Takahashi, T.; Takikawa, Y.; Kawagoe, R.; Shibuya, S.; Iwano, T.; Kitazawa, S. Influence of skin blood flow on near-infrared spectroscopy signals measured on the forehead during a verbal fluency task. Neuroimage 2011, 57, 991–1002. [Google Scholar]
  42. Vasung, L.; Turk, E.A.; Ferradal, S.L.; Sutin, J.; Stout, J.N.; Ahtam, B.; Lin, P.-Y.; Grant, P.E. Exploring early human brain development with structural and physiological neuroimaging. Neuroimage 2019, 187, 226–254. [Google Scholar] [PubMed]
  43. Shin, H.; Son, Y.; Chae, U.; Kim, J.; Choi, N.; Lee, H.J.; Woo, J.; Cho, Y.; Yang, S.H.; Lee, C.J. Multifunctional multi-shank neural probe for investigating and modulating long-range neural circuits in vivo. Nat. Commun. 2019, 10, 3777. [Google Scholar] [CrossRef]
  44. Du Le, V.N. Monte Carlo Guidance for Better Imaging of Boreal Lakes in the Wavelength Region of 400–800 nm. Sensors 2025, 25, 1020. [Google Scholar] [CrossRef] [PubMed]
  45. Rodriguez, A.J.; Boonya-Ananta, M.T.; Gonzalez, M.; Du Le, V.N.; Fine, J.; Palacios, C.; McShane, M.J.; Coté, G.L.; Ramella-Roman, J.C. Skin optical properties in the obese and their relation to body mass index: A review. J. Biomed. Opt. 2022, 27, 030902. [Google Scholar]
  46. Yudovsky, D.; Pilon, L. Rapid and accurate estimation of blood saturation, melanin content, and epidermis thickness from spectral diffuse reflectance. Appl. Opt. 2010, 49, 1707–1719. [Google Scholar] [CrossRef]
  47. Therkildsen, P.; Haedersdal, M.; Lock-Andersen, J.; de Fine Olivarius, F.; Poulsen, T.; Wulf, H.C. Epidermal thickness measured by light microscopy: A methodological study. Ski. Res. Technol. 1998, 4, 174–179. [Google Scholar] [CrossRef]
  48. Oltulu, P.; Ince, B.; Kokbudak, N.; Findik, S.; Kilinc, F. Measurement of Epidermis, Dermis, and Total Skin Thicknesses from Six Different Body Regions with a New Ethical Histometric Technique. Turk. J. Plast. Surg. 2018, 26, 56–61. [Google Scholar] [CrossRef]
  49. Lintzeri, D.A.; Karimian, N.; Blume-Peytavi, U.; Kottner, J. Epidermal thickness in healthy humans: A systematic review and meta-analysis. J. Eur. Acad. Dermatol. Venereol. 2022, 36, 1191–1200. [Google Scholar] [CrossRef]
  50. Derraik, J.G.B.; Rademaker, M.; Cutfield, W.S.; Pinto, T.E.; Tregurtha, S.; Faherty, A.; Peart, J.M.; Drury, P.L.; Hofman, P.L. Effects of Age, Gender, BMI, and Anatomical Site on Skin Thickness in Children and Adults with Diabetes. PLoS ONE 2014, 9, e86637. [Google Scholar] [CrossRef]
  51. Limandjaja, G.C.; van den Broek, L.J.; Waaijman, T.; van Veen, H.A.; Everts, V.; Monstrey, S.; Scheper, R.J.; Niessen, F.B.; Gibbs, S. Increased epidermal thickness and abnormal epidermal differentiation in keloid scars. Br. J. Dermatol. 2017, 176, 116–126. [Google Scholar] [CrossRef]
  52. Branchet, M.C.; Boisnic, S.; Frances, C.; Robert, A.M. Skin Thickness Changes in Normal Aging Skin. Gerontology 2009, 36, 28–35. [Google Scholar] [CrossRef] [PubMed]
  53. Alper, M.; Kavak, A.; Parlak, A.H.; Demirci, R.; Belenli, I.; Yesildal, N. Measurement of epidermal thickness in a patient with psoriasis by computer-supported image analysis. Braz. J. Med. Biol. Res. 2004, 37, 111–117. [Google Scholar] [CrossRef] [PubMed]
  54. Hermann, R.C.; Ellis, C.N.; Fitting, D.W.; Ho, V.C.; Voorhees, J.J. Measurement of Epidermal Thickness in Normal Skin and Psoriasis with High-Frequency Ultrasound. Ski. Pharmacol. Physiol. 2009, 1, 128–136. [Google Scholar] [CrossRef] [PubMed]
  55. Emrani, Z.; Karbalaie, A.; Fatemi, A.; Etehadtavakol, M.; Erlandsson, B.-E. Capillary density: An important parameter in nailfold capillaroscopy. Microvasc. Res. 2017, 109, 7–18. [Google Scholar] [CrossRef]
  56. Aellen, J.; Dabiri, A.; Heim, A.; Liaudet, L.; Burnier, M.; Ruiz, J.; Feihl, F.; Waeber, B. Preserved capillary density of dorsal finger skin in treated hypertensive patients with or without type 2 diabetes. Microcirculation 2012, 19, 554–562. [Google Scholar] [CrossRef]
  57. Selb, J.J.; Boas, D.A.; Chan, S.-T.; Evans, K.C.; Buckley, E.M.; Carp, S.A. Sensitivity of near-infrared spectroscopy and diffuse correlation spectroscopy to brain hemodynamics: Simulations and experimental findings during hypercapnia. Neurophotonics 2014, 1, 015005. [Google Scholar] [CrossRef]
  58. Moço, A.V.; Stuijk, S.; De Haan, G. New insights into the origin of remote PPG signals in visible light and infrared. Sci. Rep. 2018, 8, 8501. [Google Scholar] [CrossRef]
Figure 1. Gel-based optical phantoms with various hemoglobin (Hb) concentrations for PPG measurement. (a) Homogenous phantoms (D = 0); (b) two-layered phantoms with top layer thickness D = 0.20 mm; (c) Hb concentrations of phantoms are selected to simulate one PPG pulse so that each phantom represent one data point; (d) measured absorption coefficient, μa, spectra of selected Hb concentrations; and (e) μa and μs′ spectra of ink 1% v/v and lipid 1% w/v, respectively.
Figure 1. Gel-based optical phantoms with various hemoglobin (Hb) concentrations for PPG measurement. (a) Homogenous phantoms (D = 0); (b) two-layered phantoms with top layer thickness D = 0.20 mm; (c) Hb concentrations of phantoms are selected to simulate one PPG pulse so that each phantom represent one data point; (d) measured absorption coefficient, μa, spectra of selected Hb concentrations; and (e) μa and μs′ spectra of ink 1% v/v and lipid 1% w/v, respectively.
Sensors 25 02311 g001
Figure 2. A schematic drawing of the customized reflectance spectroscopy system. The fiber probe is mounted normally on the sample surface. In all the phantom measurements, the fiber probe slightly touches the phantom’s surface. In the spectralon measurement, the fiber probe is positioned above the sample surface at a distance so that maximum intensity is collected at the spectrometer. An MATLAB v2024a graphical user interface is used to control the spectrometer and to collect and analyze the PPG pulses.
Figure 2. A schematic drawing of the customized reflectance spectroscopy system. The fiber probe is mounted normally on the sample surface. In all the phantom measurements, the fiber probe slightly touches the phantom’s surface. In the spectralon measurement, the fiber probe is positioned above the sample surface at a distance so that maximum intensity is collected at the spectrometer. An MATLAB v2024a graphical user interface is used to control the spectrometer and to collect and analyze the PPG pulses.
Sensors 25 02311 g002
Figure 3. (a) A schematic of the source (S) and detectors on the surface of the tissue at SDD = 1, 2, 3, and 4 mm (center to center); (b,c) normalized energy fluence for the diastole (b) and the systole (c).
Figure 3. (a) A schematic of the source (S) and detectors on the surface of the tissue at SDD = 1, 2, 3, and 4 mm (center to center); (b,c) normalized energy fluence for the diastole (b) and the systole (c).
Sensors 25 02311 g003
Figure 4. Experimental measurement of optical phantoms when (ac) D = 0 and when (df) D = 0.20 mm. (a,d) Diffuse reflectance signal (DRS) as function of wavelengths when Hb concentration is varied from 2.0 to 3.1 mg/mL, (b,e) corresponding PPG waveform at selected wavelengths, (c,f) and AC/DC ratios. Due to current instrument limitation, all measurement was performed at SDD = 0.5 mm.
Figure 4. Experimental measurement of optical phantoms when (ac) D = 0 and when (df) D = 0.20 mm. (a,d) Diffuse reflectance signal (DRS) as function of wavelengths when Hb concentration is varied from 2.0 to 3.1 mg/mL, (b,e) corresponding PPG waveform at selected wavelengths, (c,f) and AC/DC ratios. Due to current instrument limitation, all measurement was performed at SDD = 0.5 mm.
Sensors 25 02311 g004
Figure 5. (a,b) AC/DC vs. MOP when epidermal thickness D = [50, 100, 150] µm and SDD = [1–4] mm at wavelengths of 523 nm (a) and 945 nm (b); (c) AC/DC as function of SDD when D = 100 µm at both wavelengths.
Figure 5. (a,b) AC/DC vs. MOP when epidermal thickness D = [50, 100, 150] µm and SDD = [1–4] mm at wavelengths of 523 nm (a) and 945 nm (b); (c) AC/DC as function of SDD when D = 100 µm at both wavelengths.
Sensors 25 02311 g005
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

Share and Cite

MDPI and ACS Style

Du Le, V.N.; Fronckowiak, S.; Badolato, E. A Cost-Effective Method for the Spectral Calibration of Photoplethysmography Pulses: The Optimal Wavelengths for Heart Rate Monitoring. Sensors 2025, 25, 2311. https://doi.org/10.3390/s25072311

AMA Style

Du Le VN, Fronckowiak S, Badolato E. A Cost-Effective Method for the Spectral Calibration of Photoplethysmography Pulses: The Optimal Wavelengths for Heart Rate Monitoring. Sensors. 2025; 25(7):2311. https://doi.org/10.3390/s25072311

Chicago/Turabian Style

Du Le, Vinh Nguyen, Sophia Fronckowiak, and Elizabeth Badolato. 2025. "A Cost-Effective Method for the Spectral Calibration of Photoplethysmography Pulses: The Optimal Wavelengths for Heart Rate Monitoring" Sensors 25, no. 7: 2311. https://doi.org/10.3390/s25072311

APA Style

Du Le, V. N., Fronckowiak, S., & Badolato, E. (2025). A Cost-Effective Method for the Spectral Calibration of Photoplethysmography Pulses: The Optimal Wavelengths for Heart Rate Monitoring. Sensors, 25(7), 2311. https://doi.org/10.3390/s25072311

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop