Biological System of Analysis of Systems Math

Abstract:- We present two examples of computational cellular biology that provide perspective on the com-plexity of creating predictive models of cell behaviors as they emerge from the interaction of molecular species. The first is a model of the diffusion and reaction of neurotransmitter in a neuromuscular junction using a con-tinuum based finite element formulation [1]. Whereas this formulation accounts for spatial variation of neuro-transmitter concentration, the single unknown, the second example is a system of ordinary differential equations to describe the biochemical state of an embryonic mouse neuron in relation to the observed behaviors of death, division, or differentiation. Each model, born of a deterministic mathematical perspective, is early in its own evolution as it grows to reflect true biology. The necessarily organic nature of these models, in simultaneously incorporating and stimulating understanding, is behind the perspective they provide on the future of computa-tional cellular biology. Whereas in written form, this material must be presented linearly, live presentation is done in hypertext to more suitably portray the interconnected issues and methods on a multiplicity of scales. Key-Words:- computational cellular biology, cell cycle, synapse, finite elements, dynamical systems