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Sensors 2017, 17(12), 2749; https://doi.org/10.3390/s17122749

Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor

Departamento de Física, Universidad de Las Palmas de Gran Canaria, E-35017 Las Palmas de Gran Canaria, Spain
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Received: 10 October 2017 / Revised: 18 November 2017 / Accepted: 21 November 2017 / Published: 28 November 2017
(This article belongs to the Special Issue Biomedical Sensors and Systems 2017)
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Abstract

The accuracy of the direct and local measurements of the heat power dissipated by the surface of the human body, using a calorimetry minisensor, is directly related to the calibration rigor of the sensor and the correct interpretation of the experimental results. For this, it is necessary to know the characteristics of the body’s local heat dissipation. When the sensor is placed on the surface of the human body, the body reacts until a steady state is reached. We propose a mathematical model that represents the rate of heat flow at a given location on the surface of a human body by the sum of a series of exponentials: W(t) = A0 + ∑Aiexp(−t/τi). In this way, transient and steady states of heat dissipation can be interpreted. This hypothesis has been tested by simulating the operation of the sensor. At the steady state, the power detected in the measurement area (4 cm2) varies depending on the sensor’s thermostat temperature, as well as the physical state of the subject. For instance, for a thermostat temperature of 24 °C, this power can vary between 100–250 mW in a healthy adult. In the transient state, two exponentials are sufficient to represent this dissipation, with 3 and 70 s being the mean values of its time constants. View Full-Text
Keywords: direct calorimetry; heat conduction calorimeters; isothermal calorimeters; medical calorimetry; non-differential calorimeters direct calorimetry; heat conduction calorimeters; isothermal calorimeters; medical calorimetry; non-differential calorimeters
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Socorro, F.; Rodríguez de Rivera, P.J.; Rodríguez de Rivera, M.; Rodríguez de Rivera, M. Mathematical Model for Localised and Surface Heat Flux of the Human Body Obtained from Measurements Performed with a Calorimetry Minisensor. Sensors 2017, 17, 2749.

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