Discrete solutions to differential equations by metabolic P systems

The relationships existing between metabolic P systems and ODE systems are investigated. Formal results show that every MP system determines a structure, called an MP graph, which results in an ODE system whose solution equals, in the limit, the evolution of any non-cooperative MP 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–Volterra predator–prey population dynamics, and the Lorenz strange attractor are provided, showing the applicability of the proposed computational approach.