We consider the problem of identifying structural influences of external inputs on steady-
state outputs in a biological network model. We speak of a structural influence if, upon a …

Biological networks are currently being studied with approaches derived from the
mathematical and physical sciences. Their structural analysis enables to highlight nodes …

Background Metabolism and its regulation constitute a large fraction of the molecular activity
within cells. The control of cellular metabolic state is mediated by numerous molecular …

Despite their complexity, biological systems are able to endure huge parameter fluctuations
and survive in the most diverse environmental conditions. Mathematical tools from graph …

We have developed a mathematical approach to the study of dynamical biological networks,
based on combining large-scale numerical simulation with nonlinear “dimensionality …

Background Modeling of molecular networks is necessary to understand their dynamical
properties. While a wealth of information on molecular connectivity is available, there are still …

There is a growing demand for methods that can make predictions of qualitative properties
of the dynamics of molecular interaction networks, that is, properties that are invariant for a …

This special issue of BioSystems has grown out of a workshop on the dynamical modeling of
biological regulatory networks held in Montreal in the summer of 2004. Most of the articles in …

Regulatory relations between biological molecules constitute complex network systems and
realize diverse biological functions through the dynamics of molecular activities. However …

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