Discrete solutions to differential equations by metabolic P systems

被引：25
作者：
Fontana, Federico [1 ]
Manca, Vincenzo [1 ]
机构：
[1] Univ Verona, Dept Comp Sci, I-37134 Verona, VR, Italy
来源：
THEORETICAL COMPUTER SCIENCE | 2007年 / 372卷 / 2-3期
关键词：
metabolic networks; ordinary differential equations; P systems; MP systems; MP graphs;
D O I：
10.1016/j.tcs.2006.11.030
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The relationships existing between metabolic P systems and ODE systems are investigated. Formal results show that every MP system determines a structure, called an NIP graph, which results in an ODE system whose solution equals, in the limit, the evolution of any non-cooperative NIP system that can be derived from the initial one by means of a systematic procedure. Examples based on the model of a mitotic oscillator in early amphibian embryos, the Lotka-Volteff a predator-prey population dynamics, and the Lorenz strange attractor are provided, showing the applicability of the proposed computational approach. (c) 2006 Elsevier B.V All rights reserved.
引用
收藏
页码：165 / 182
页数：18
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