Department of Mathematics, Nitishwar College, constituent unit of Babasaheb Bhimrao Ambedkar Bihar University, Bihar, India.
Department of Mathematical Sciences, IIT BHU, Varanasi, India.
Theory Biosci. 2023 Sep;142(3):275-290. doi: 10.1007/s12064-023-00400-5. Epub 2023 Jul 20.
Advancement of new technologies such as laser, focused ultrasound, microwave and radio frequency for thermal therapy of skin tissue has increased numerous challenging situations in medical treatment. In this article, a new meticulous bio-heat transfer model based on memory-dependent derivative with dual-phase-lag has been developed under different thermal conditions such as thermal shock and harmonic-type heating. Laplace transform method is acquired to perceive the analytical consequences. Quantitative results are evaluated for displacement, strain and temperature along with stress distributions in time domain by adopting the technique of inverse Laplace transform. Impacts of the constituents of memory-dependent derivatives-kernel functions along with time-delay parameter are analysed on the studied fields (temperature, displacement, strain and stress) for both thermal conditions separately using computational results. It has been found that the insertion of the memory effect proves itself a unified model, and therefore, this model can better predict temperature field data for thermal treatment processes.
新技术如激光、聚焦超声、微波和射频在皮肤组织热疗方面的发展,给医疗带来了许多极具挑战性的情况。本文在不同的热条件下,如热冲击和谐波加热,基于具有双时滞的记忆依赖导数,建立了一个新的细致的生物传热模型。利用拉普拉斯变换法得到了分析结果。采用逆拉普拉斯变换技术,在时域内对位移、应变和温度以及应力分布进行了定量评估。利用计算结果,分别对两种热条件下记忆导数的组成部分(核函数和时滞参数)对所研究领域(温度、位移、应变和应力)的影响进行了分析。结果表明,记忆效应的引入证明了这是一个统一的模型,因此,该模型可以更好地预测热治疗过程中的温度场数据。