炎症反应扩散方程中的趋化作用。
Chemotactic effects in reaction-diffusion equations for inflammation.
作者信息
Reisch Cordula, Langemann Dirk
机构信息
TU Braunschweig, Institute of Computational Mathematics, AG PDE, Universitätsplatz 2, 38106, Braunschweig, Germany.
出版信息
J Biol Phys. 2019 Sep;45(3):253-273. doi: 10.1007/s10867-019-09527-3. Epub 2019 Jul 15.
Predator-prey systems are used to model time-dependent virus and lymphocyte population during a liver infection and to discuss the influence of chemotactic behavior on the chronification tendency of such infections. Therefore, a model family of reaction-diffusion equations is presented, and the long-term behavior of the solutions is estimated by a critical value containing the reaction strength, the diffusion rate, and the extension of the liver domain. Fourier techniques are applied to evaluate the influence of chemotactic behavior of the immune response to the long-term behavior of locally linearized models. It turns out that the chemotaxis is a subordinated influence with respect to the chronification of liver infections.
捕食者 - 猎物系统被用于模拟肝脏感染期间随时间变化的病毒和淋巴细胞群体，并讨论趋化行为对这种感染慢性化趋势的影响。因此，提出了一个反应 - 扩散方程的模型族，并通过一个包含反应强度、扩散率和肝脏区域范围的临界值来估计解的长期行为。应用傅里叶技术来评估免疫反应的趋化行为对局部线性化模型长期行为的影响。结果表明，就肝脏感染的慢性化而言，趋化作用是一种次要影响。
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