Kengne Emmanuel, Lakhssassi Ahmed
Département d'informatique et d'ingénierie, Université du Qué bec en Outaouais, 101 St-Jean-Bosco, Succursale Hull, Gatineau (PQ) J8Y 3G5, Canada.
Département d'informatique et d'ingénierie, Université du Qué bec en Outaouais, 101 St-Jean-Bosco, Succursale Hull, Gatineau (PQ) J8Y 3G5, Canada.
Math Biosci. 2015 Nov;269:1-9. doi: 10.1016/j.mbs.2015.08.012. Epub 2015 Sep 1.
Based on the Pennes bioheat transfer equation with constant blood perfusion, we set up a simplified one-dimensional bioheat transfer model of the spherical living biological tissues for application in bioheat transfer problems. Using the method of separation of variables, we present in a simple way the analytical solution of the problem. The obtained exact solution is used to investigate the effects of tissue properties, the cooling medium temperature, and the point-heating on the temperature distribution in living bodies. The obtained analytical solution can be useful for investigating thermal behavior research of biological system, thermal parameter measurements, temperature field reconstruction and clinical treatment.
基于具有恒定血液灌注率的彭尼斯生物热传递方程，我们建立了一个简化的球形活体生物组织一维生物热传递模型，以应用于生物热传递问题。使用变量分离法，我们以简单的方式给出了该问题的解析解。所得的精确解用于研究组织特性、冷却介质温度和点加热对生物体内温度分布的影响。所得的解析解可用于研究生物系统的热行为、热参数测量、温度场重建及临床治疗。
