在依赖记忆的衍生函数的背景下,研究两维生物热问题
Prajjwal Parmar1, Subhadip Karmakar1, Abhijit Lahiri2
1Department of Mathematics, Indian Institute of Engineering Science and Technology, Howrah, West Bengal 711103, India.
Journal of thermal biology
|April 18, 2025
概括
本研究探讨了记忆效应如何使用双相滞后模型影响皮肤组织中的热传递. 研究结果显示,依赖于记忆的衍生物显著改变生物组织中的热和机械反应.
科学领域:
- 生物医学工程 生物医学工程
- 热传递是一种热传递.
- 计算机建模 计算建模
背景情况:
- 准确的模拟生物组织中的热传递对于开发有效的热疗法至关重要.
- 现有的生物传热模型往往简化了热传输机制,可能会限制它们的预测准确性.
- 了解热力学相互作用对于预测组织对热刺激的反应至关重要.
研究的目的:
- 分析研究MDD对二维双相滞后 (DPL) 生物传热模型的影响.
- 在式加热条件下检查皮肤组织中的热力学反应.
- 利用位移电位的方法来分析传热和机械行为.
主要方法:
- 对皮肤组织应用一个二维DPL生物传热模型.
- 利用一个结合拉普拉斯 - 里埃转换技术来解决转换域中的统治方程.
- 采用Stehfest方法和七点高斯方程来进行变换的数值反转.
主要成果:
- 图形分析表明了式加热参数 (t0),内核函数 (K(t-ζ) 和时间 (t) 对空间变量 (x,y) 的影响.
- 数值结果表明,记忆效应对热和机械场变量的分布有显著的影响.
- 移位电位方法在指定边界条件下成功捕获了热力学相互作用.
结论:
- 通过MDD结合的记忆效应在皮肤组织的热传递和热力学反应中起着重要的作用.
- 与MDD配合的DPL模型提供了比较简单的模型更全面的理解生物组织的热传输.
- 这种分析方法为优化皮肤病学和相关领域的热治疗策略提供了宝贵的见解.
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