On modeling approaches for the predictive simulation of living systms dymamics

Abstract

ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍA T his research paper describes two main approaches that are currently available for modelling and simulating the evolution of dynamic living systems, namely the continuous-deterministic one, which is rendered by systems of ordinary differential equations and the discrete-stochastic one, which bases on the Stochastic simulation algorithm proposed by Gil/espíe in 1976. The aim of this comparison is to provide the necessary information to support the selection of a modelling approach, focusing on a set of verifiable criteria. For this reason, we review the rationale approach of modelling, proposing a modelling sample for a single living system and discussing the main advantages and drawbacks of each approach.

ONTARE. REVISTA DE INVESTIGACIÓN DE LA FACULTAD DE INGENIERÍA Este artículo se propone presentar dos de los principales enfoques que están disponibles hoy en día para modelar y simular la evolución dinámica de sistemas vivos: el modelo determinístico continuo, que es dictado por los sistemas de ecuaciones diferenciales ordinarias, y el estocástico discreto, que encuentra su base en el algoritmo de simulación estocástica propuesto por Gillespie en 1976. El objetivo de esta comparación es proporcionar la información necesaria para apoyar la selección de un enfoque de modelaje, basado en un conjunto de criterios verificables. Para alcanzar este objetivo, se analizan los fundamentos de la modelación, se propone un ejemplo de modelado para un sistema de vida simple y se discuten las principales ventajas y desventajas de cada enfoque. This research paper describes two main approaches that are currently available for modelling and simulating the evolution of dynamic living systems, namely the continuous-deterministic one, which is rendered by systems of ordinary differential equations and the discrete-stochastic one, which bases on the Stochastic simulation algorithm proposed by Gil/espíe in 1976. The aim of this comparison is to provide the necessary information to support the selection of a modelling approach, focusing on a set of verifiable criteria. For this reason, we review the rationale approach of modelling, proposing a modelling sample for a single living system and discussing the main advantages and drawbacks of each approach.