For over a century, the Michaelis–Menten (MM) rate law has been used to describe the rates
of enzyme-catalyzed reactions and gene expression. Despite the ubiquity of the MM rate …

Strategies for modeling the complex dynamical behavior of gene/protein regulatory networks
have evolved over the last 50 years as both the knowledge of these molecular control …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

Examining enzyme kinetics is critical for understanding cellular systems and for using
enzymes in industry. The Michaelis-Menten equation has been widely used for over a …

In biochemical networks, reactions often occur on disparate timescales and can be
characterized as either fast or slow. The quasi-steady-state approximation (QSSA) utilizes …

The circadian clock is based on a transcriptional feedback loop with an essential time delay
before feedback inhibition. Previous work has shown that PERIOD (PER) proteins generate …

One of the early success stories of computational systems biology was the work done on cell-
cycle regulation. The earliest mathematical descriptions of cell-cycle control evolved into …

Individual mouse embryonic stem cells have been found to exhibit highly variable
differentiation responses under the same environmental conditions. The noisy cyclic …

We present “on the fly” algorithmic criteria for the accuracy and stability (non-stiffness) of
reduced models constructed with the quasi-steady state and partial equilibrium …

The cell division cycle of eukaryotes is governed by a complex network of cyclin-dependent
protein kinases (CDKs) and auxiliary proteins that govern CDK activities. The control system …