Thermo-Electrical Analogy of Skin Properties and Low-Pass Filter, Correlation between Skin Temperature and Blood Flow Oscillations in~Extremities

A. A. Sagaidachnyi ; D. A. Usanov ; A. V. Skripal ; A. V. Fomin

Matematičeskaâ biologiâ i bioinformatika, Tome 9 (2014) no. 2, pp. 309-318.

Résumé

The possibility of simplifying of the Shitzer’s model relating changes in skin temperature and skin blood flow in extremities has been determined. Analogy between the equation of simplified model and the equation describing the analog low-pass filter has been demonstrated. The established electro-thermal analogy allows us to calculate the waveform of cutaneous blood flow in extremities using values of time derivative of the temperature. The proposed model was verified using simultaneous measurements of the temperature by infrared thermography of hands and assessment of blood flow oscillations by photoplethysmography.

Bibliographie

[1] Beuken D. L., Wärmeverluste bei periodisch betriebenen Ofen, Dissertation, Freiburg, Germany, 1936

[2] Bosworth R. C. L., “LXXXIII. The thermal Ohm, Farad and Henry”, Philosophical Magazine, 37:274 (1946), 803–808 | DOI

[3] Weedy B. M., “The analogy between thermal and electrical quantities”, Electric Power Systems Research, 15:3 (1988), 197–201 | DOI

[4] Blad G., Kalita W., Klepacki D., Potencki J., Weglarski M., “Temperature field simulation of thick-film microcircuits using electro-thermal analogy”, Electronics System integration Technology Conference, 1st (Dresden, 2006), v. 2, IEEE, 1261–1265

[5] Robertson A. F., Gross D., “An electrical-analog method for transient heat-flow analysis”, NBS J. Research, 61:2 (1958), 105

[6] Shlyk Yu. K., Plaksin A. I., “Elektromodelirovanie nestatsionarnogo protsessa v truboprovode s negermetichnostyu”, Vestnik kibernetiki, 2012, no. 11, 32–35

[7] Kinsht D. N., Kinsht N. V., “Printsipy modelirovaniya gemodinamiki i teploperenosa pri obschei upravlyaemoi gipertermii”, Informatika i sistemy upravleniya, 2004, no. 1, 7

[8] Huizenga C., Zhang H., Duan T., Arens E., “An improved multinode model of human physiology and thermal comfort”, Proceedings of Building Simulation'99 (Kyoto, Japan, 1999), v. 6, 353–359

[9] Gowrishankar T. R., Stewart D., Martin G., Weaver J., “Transport lattice models of heat transport in skin with spatially heterogeneous, temperature-dependent perfusion”, Biomedical Engineering Online, 3:1 (2004), 42 | DOI

[10] McQuilkin G. L., Panthagani D., Metcalfe R. W., Hassan H., Yen A. A., Naghavi M., Hartley C. J., “Digital thermal monitoring (DTM) of vascular reactivity closely correlates with doppler flow velocity”, Engineering in Medicine and Biology Society, EMBC 2009, Annual International Conference of the IEEE (Minneapolis, Minnesota, USA, 2009), 1100–1103

[11] Sagaidachnyi A. A., Skripal A. V., Fomin A. V., Usanov D. A., “Vosstanovlenie spektra kolebanii krovotoka iz spektra kolebanii temperatury paltsev ruk, dispersiya temperaturnogo signala v biotkani”, Regionarnoe krovoobraschenie i mikrotsirkulyatsiya, 2013, no. 1, 76–82

[12] Sagaidachnyi A. A., Skripal A. V., Fomin A. V., Usanov D. A., “Metodika vosstanovleniya fotopletizmogrammy v diapazone endotelialnykh i neirogennykh kolebanii po rezultatam izmerenii temperatury paltsev ruk”, Regionarnoe krovoobraschenie i mikrotsirkulyatsiya, 2013, no. 3, 22–28

[13] Sagaidachnyi A. A., Skripal A. V., Fomin A. V., Usanov D. A., “Determination of the amplitude and phase relationships between oscillations in skin temperature and photoplethysmography — measured blood flow in fingertips”, Physiological Measurement, 35:2 (2014), 153–166 | DOI

[14] Sagaidachnyi A. A., Usanov D. A., Skripal A. V., Fomin A. V., “Skin blood flow as the first time derivative of the temperature: spectral approach to the blood flow estimation in hands”, Proc. SPIE, 9031, 2014, 903108 | DOI

[15] Sagaidachnyi A. A., Usanov D. A., Skripal A. V., Fomin A. V., “Correlation of skin temperature and blood flow oscillations”, Proc. SPIE, 8337, 2011 | DOI

[16] Shitzer A., Stroschein L. A., Gonzalez R. R., Pandolf K. B., “Lumped-parameter tissue temperature-blood perfusion model of a cold-stressed fingertip”, Journal of Appl. Physiol., 80 (1996), 1829–1834

[17] Shitzer A., Stroschein L. A., Sharp M. W., Gonzalez R. R., Pandolf K. B., “Simultaneous measurements of finger-tip temperatures and blood perfusion rates in a cold environment”, Journal of Thermal Biology, 22:3 (1997), 159–167 | DOI

[18] Usanov D. A., Sagaidachnyi A. A., Skripal A. V., Fomin A. V., “Vzaimosvyaz kolebanii temperatury i krovotoka paltsev ruk”, Regionarnoe krovoobraschenie i mikrotsirkulyatsiya, 2012, no. 2, 37–42

[19] Sagaidachnyi A. A., Usanov D. A., Skripal A. V., Fomin A. V., “Restoration of finger blood flow oscillations by means of thermal imaging”, E-book Proceedings of 11-th International Conference on Quantitative InfraRed Thermography (QIRT 2012) Bio (Italy, Naples, June 2012), 115

[20] Ley O., Dhindsa M., Sommerlad S. M., Barnes J. N., DeVan A. E., Naghavi M., Tanaka H., “Use of temperature alterations to characterize vascular reactivity”, Clin. Physiol. Funct. Imaging, 31 (2011), 66–72 | DOI

[21] Ley O., Deshpande C. V., “Comparison of two mathematical models for the study of vascular reactivity”, Computers in Biology and Medicine, 39:7 (2009), 579–589 | DOI

[22] Wang X., He Y., “Experimental study of vascular reactivity in the fingertip: an infrared thermography method”, 3-rd International Conference on Biomedical Engineering and Informatics, BMEI 2010 (Yantai, China, 2010), 1180–1184

[23] Aurélio S. B. M., Developments in Heat Transfer, InTech, Croatia, 2011, 688 pp.

[24] Love T. J., “Thermography as an indicator of blood perfusion”, Annals New York Academy of Science, 1980, no. 335, 429–437 | DOI

[25] Shashkov A. G., Bubnov V. A., Yanovskii S. Yu., Volnovye yavleniya teploprovodnosti. Sistemno-strukturnyi podkhod, Editorial URSS, M., 2004, 296 pp.

[26] German I., Fizika organizma cheloveka, Intellekt, Dolgoprudnyi, 2011, 992 pp.