A comprehensive approach to the mathematical modeling of mass transport in biological systems: Fundamental concepts and models
A comprehensive approach to the mathematical modeling of mass transport in biological systems: Fundamental concepts and models
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DOI：
10.1016/j.ijheatmasstransfer.2020.119777
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发表时间：
2020-09
影响因子：
5.2
通讯作者：
S. Zaheri;F. Hassanipour
中科院分区：
文献类型：
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作者：
S. Zaheri;F. Hassanipour
对不同水平的生物系统，如细胞、毛细血管、组织和器官之间的运输现象进行多尺度数学建模，对于描述这些系统之间的相互作用如何导致它们的功能和功能障碍越来越有帮助。这些尺度上的模型的开发是基于不同领域的知识，如工程学、生理学和生物物理学，这需要相关领域的科学家之间的大量合作。因此，一个统一的框架来描述基本原则并统一已建立的模型可以支持这一不断增长的研究社区。在这方面，本工作涉及了解和模拟生物转运机制以及汇编现有模型所需的基本术语。建立了包括细胞、毛细血管和腺管在内的不同组织间质量传输机制模型的包容性数学框架，主要集中在膜介导的转运体机制，如通道、单转运体、共转运体、泵和反向转运体。这项研究的主要目的是提供一个全面的工具，以促进生物质量传输机制的分析，并大大减少为研究寻找适当模型所需的时间。
Multiscale mathematical modeling of transport phenomena across different levels of biological systems, such as cells, capillaries, tissues, and organs, has been increasingly helpful in describing how interactions among these systems lead to their function and dysfunction. The development of models across these scales is based on knowledge from various fields, such as engineering, physiology, and biophysics, and it requires significant collaboration among scientists from the relevant areas. Therefore, a unified framework to describe the fundamental principles and unite the established models could support this growing research community. In this regard, the present work deals with the essential terminology required to understand and model biological transport mechanisms, as well as to compile currently available models. An inclusive mathematical framework for models of mass transport mechanisms in different tissue compartments, including cells, capillaries, and gland ducts, is developed, with a primary focus on the mechanisms of membrane-mediated transporters such as channels, uniporters, symporters, pumps, and antiporters. The main objective of this study is to provide a comprehensive tool to facilitate the analysis of biological mass transport mechanisms and substantially decrease the time taken to find the appropriate model for a study.