Discrete-Time Model Representations for Biochemical Pathway Modeling

摘要

This paper presents the importance of formulating general discrete-time model representations for current pathway modeling study. Discrete-time models can be considered as a link between continuous-time kinetic reactions and discrete-time experimentation as well as computer based simulation and analysis. In the paper, different discretization techniques are investigated according to different sorts of ODE model structures. Two discretization strategies are mainly focused, that are one-step-ahead Taylor series based method and multi-step-ahead Runge-Kutta method. A new discretization approach based on Taylor expansion and Carleman linearization is proposed for bilinear in states pathway models. Finally, the superiority of using Runge-Kutta based approach as general discrete-time model representations are concluded.