When I am called upon to teach fluid mechanics, I always show students a copy of Newton's
Principia. I do this for a number of reasons, not least of which is the connection I hope they …

Background The inference of biological networks from high-throughput data has received
huge attention during the last decade and can be considered an important problem class in …

Let us consider the differential equation ̇\bfy(t)=\bff(\bfy(t)) with an \bff from \bfR^N to \bfR^N
and suppose that there exists a transformation \bfh from \bfR^N to \bfR^̂N (̂N≤N) such …

Reversibility, weak reversibility and deficiency, detailed and complex balancing are
generally not “encoded” in the kinetic differential equations but they are realization …

This article is a survey of the recent use of some techniques from computational algebraic
geometry to address mathematical challenges in systems biology.(Bio) chemical reaction …

Background The mechanisms underlying complex biological systems are routinely
represented as networks. Network kinetics is widely studied, and so is the connection …

This paper provides a framework to represent a Biochemical Systems Theory (BST) model
(in either GMA or S-system form) as a chemical reaction network with power law kinetics …

Abstract In Mathematical Biology, many dynamical models of biochemical reaction systems
are presented with Ordinary Differential Equations (ODE). Once kinetic parameter values are …

A numerical procedure for finding the sparsest and densest realization of a given reaction
network is proposed in this paper. The problem is formulated and solved in the framework of …

Electric circuits manipulate electric charge and magnetic flux via a small set of discrete
components to implement useful functionality over continuous time-varying signals …