在热疗期间,在皮肤瘤组织中进行热传递的数学建模
Hany H Sherief1, Mohamed F Zaky2, Mohamed F Abbas2
1Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt.
PloS one
|May 16, 2024
概括
这项研究引入了球形皮肤瘤热疗法的新分析解决方案,改善了生物组织中的热传递预测. 一般化热弹性模型提供比现有的癌症治疗方法更准确的结果.
科学领域:
- 生物医学工程 生物医学工程
- 数学建模的数学建模
- 热疗法是一种热疗法.
背景情况:
- 生物组织中的热传递是复杂的,需要先进的模拟方法.
- 数学和工程技术在医疗程序中越来越多地用于安全和风险评估.
- 了解细胞对热疗法的反应对于有效的瘤治疗至关重要.
研究的目的:
- 提出一种新的分析解决方案,用于分析球形皮肤瘤在热疗期间的生物热反应.
- 研究放松时间对生病和健康组织的影响.
- 为了评估激光照射对瘤细胞热谱的影响.
主要方法:
- 利用一个通用的热弹性模型与一个放松时间.
- 应用拉普拉斯和逆拉普拉斯变换方法用于传热分析.
- 解释了组织反应和热谱的图形表示.
主要成果:
- 拟议的一般化热弹性模型提供了比Pennes的生物热传递模型更现实的和准确的预测.
- 证明了放松时间和激光照射对热谱的影响.
- 成功分析了生物热反应的机制.
结论:
- 开发的分析解决方案为模拟皮肤瘤的热疗法提供了更准确的方法.
- 这个模型可以应用于理解和优化各种涉及热的治疗方法.
- 强调了一般化热弹性在预测生物系统中热反应方面的重要性.
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