Poster: Biochemical signaling: A discrete simulation with memory enhancement

We will describe the memory enhancement and give a simple three reaction model to illustrate the differences between our technique and a continuous, concentration-based approach using a system of ordinary differential equations. Furthermore, we provide our results from the modeling of two well-known models: the Lotka-Volterra predator-prey and a circadian rhythm model. For these models, we provide the results of our simulation technique in comparison to results from ordinary differential equations and the Gillespie Algorithm. We show that our algorithm, while being faster than Gillespie's approach, is capable of generating oscillatory behavior where ordinary differential equations do not.