Mathematical modelling has become an established tool for studying the dynamics of
biological systems. Current applications range from building models that reproduce …

We give necessary and sufficient conditions in terms of sign vectors for the injectivity of
families of polynomial maps with arbitrary real exponents defined on the positive orthant …

Bistability has important implications in signaling pathways, since it indicates a potential cell
decision between alternative outcomes. We present two approaches developed in the …

This paper further develops the connection between Chemical Reaction Network Theory
(CRNT) and Biochemical Systems Theory (BST) that we recently introduced [1]. We first use …

The last decade has seen an explosion in models that describe phenomena in systems
medicine. Such models are especially useful for studying signaling pathways, such as the …

The canonical Wnt signaling pathway, mediated by β-catenin, is crucially involved in
development, adult stem cell tissue maintenance, and a host of diseases including cancer …

The pre-industrial state of the global carbon cycle is a significant aspect of studies related to
climate change. In this paper, we recall the power law kinetic representations of the pre …

We introduce CoNtRol, a web-based framework for analysis of chemical reaction networks
(CRNs). It is designed to be both extensible and simple to use, complementing existing CRN …

Background Theoretical analysis of signaling pathways can provide a substantial amount of
insight into their function. One particular area of research considers signaling pathways …

Bistable switches are widely used in synthetic biology to trigger cellular functions in
response to environmental signals. All bistable switches developed so far, however, control …