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Blood perfusion-based model for characterizing the temperature fluctuation in living tissues

Author

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  • Deng, Zhong-Shan
  • Liu, Jing

Abstract

A new conceptual perturbation model for characterizing the temperature fluctuation in living tissues was proposed based on the classical Pennes bioheat transfer equation. Closed-form analytical solutions to the new equation systems were obtained using the Green's function method. The quantitative relationship between the temperature fluctuation and the pulsative blood perfusion, arterial blood temperature and metabolic heat generation in living tissues was thus revealed. As an illustration, the temperature fluctuation due to pulsative blood perfusion alone was particularly investigated. It was shown that a mathematically negligible perturbation on blood perfusion results in evident and observable temperature fluctuation. This study sets up a new theoretical foundation for better understanding the thermal fluctuation in living tissues.

Suggested Citation

  • Deng, Zhong-Shan & Liu, Jing, 2001. "Blood perfusion-based model for characterizing the temperature fluctuation in living tissues," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 521-530.
    • Handle: RePEc:eee:phsmap:v:300:y:2001:i:3:p:521-530
    DOI: 10.1016/S0378-4371(01)00373-9
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    Cited by:

    1. Kundu, Balaram, 2016. "Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 204-216.
    2. Ruslan Voropai & Abebe Geletu & Pu Li, 2023. "Model Predictive Control of Parabolic PDE Systems under Chance Constraints," Mathematics, MDPI, vol. 11(6), pages 1-23, March.

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