论文标题
用包裹室的积分对生物学和生态系统进行建模
Modelling Biological and Ecological Systems with the Calculus of Wrapped Compartments
论文作者
论文摘要
生物系统的建模和分析在数学中具有深厚的根源,特别是在普通微分方程的领域中。通常是根据过程代数或术语重写系统得出的基于正式微积分的替代方法,提供了一种分析生物系统行为的相当互补方法。这些结石可以自然地使用隔室和膜等概念来应对,这些概念并不容易(有时不可能)使用纯数值方法来处理,并且通常基于随机模拟方法。包装隔室的演算是一个基于随机多层重写的框架,用于描述生物学和生态系统的描述。我们提供了包裹隔室的演算的扩展介绍,绘制一些建模指南来编码生物学和生态相互作用,并显示如何在框架内处理空间特性并定义混合模拟算法。提出在生物学和生态学中的几种应用作为建模案例研究。
The modelling and analysis of biological systems has deep roots in Mathematics, specifically in the field of Ordinary Differential Equations. Alternative approaches based on formal calculi, often derived from process algebras or term rewriting systems, provide a quite complementary way to analyse the behaviour of biological systems. These calculi allow to cope in a natural way with notions like compartments and membranes, which are not easy (sometimes impossible) to handle with purely numerical approaches, and are often based on stochastic simulation methods. The Calculus of Wrapped Compartments is a framework based on stochastic multiset rewriting in a compartmentalised setting used for the description of biological and ecological systems. We provide an extended presentation of the Calculus of Wrapped Compartments, sketch a few modelling guidelines to encode biological and ecological interactions, show how spatial properties can be handled within the framework and define a hybrid simulation algorithm. Several applications in Biology and Ecology are proposed as modelling case studies.