Posttranslational modification of proteins is important for signal transduction, and hence
significant effort has gone toward understanding how posttranslational modification …

This book, as with others in the series, is intended to provide supplementary material for
courses in probability or stochastic processes. The mathematical focus is on counting …

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 …

The long-term behaviors of biochemical systems are often described by their steady states.
Deriving these states directly for complex networks arising from real-world applications …

Mass action systems capture chemical reaction networks in homogeneous and dilute
solutions. We suggest a notion of generalized mass action systems that admits arbitrary …

Many dynamical systems arising in biology and other areas exhibit multistationarity (two or
more positive steady states with the same conserved quantities). Although deciding …

In biochemical networks, complex dynamical features such as superlinear growth and
oscillations are classically considered a consequence of autocatalysis. For the large class of …

Switch-like responses arising from bistability have been linked to cell signaling processes
and memory. Revealing the shape and properties of the set of parameters that lead to …

Mathematical models are increasingly being used to understand complex biochemical
systems, to analyse experimental data and make predictions about unobserved quantities …