TIME-HARMONIC MAXWELL EQUATIONS IN BIOLOGICAL CELLS — THE DIFFERENTIAL FORM FORMALISM TO TREAT THE THIN LAYER

Q4 Mathematics

Confluentes Mathematici Pub Date : 2011-11-20 DOI:10.1142/S1793744211000345

M. Duruflé, V. Péron, C. Poignard

引用次数: 11

Abstract

We study the behavior of the electromagnetic field in a biological cell modelled by a medium surrounded by a thin layer and embedded in an ambient medium. We derive approximate transmission conditions in order to replace the membrane by these conditions on the boundary of the interior domain. Our approach is essentially geometric and based on a suitable change of variables in the thin layer. Few notions of differential calculus are given in order to obtain the first order conditions in a simple way, and numerical simulations validate the theoretical results. Asymptotic transmission conditions at any order are given in the last section of the paper.

查看原文本刊更多论文

生物细胞中的时谐麦克斯韦方程——用微分形式形式论处理薄层

我们研究了一个生物细胞中的电磁场行为，该生物细胞是由一个被薄层包围并嵌入环境介质中的介质所模拟的。我们推导出近似的透射条件，以便用这些条件在内畴的边界上代替膜。我们的方法本质上是几何的，并基于薄层中变量的适当变化。为了简单地得到一阶条件，给出了一些微分学的概念，并通过数值模拟验证了理论结果。最后给出了任意阶的渐近传输条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Confluentes Mathematici Mathematics-Mathematics (miscellaneous)

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Confluentes Mathematici is a mathematical research journal. Since its creation in 2009 by the Institut Camille Jordan UMR 5208 and the Unité de Mathématiques Pures et Appliquées UMR 5669 of the Université de Lyon, it reflects the wish of the mathematical community of Lyon—Saint-Étienne to participate in the new forms of scientific edittion. The journal is electronic only, fully open acces and without author charges. The journal aims to publish high quality mathematical research articles in English, French or German. All domains of Mathematics (pure and applied) and Mathematical Physics will be considered, as well as the History of Mathematics. Confluentes Mathematici also publishes survey articles. Authors are asked to pay particular attention to the expository style of their article, in order to be understood by all the communities concerned.