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Dynamics of posttranslational modification systems: recent progress and future directions
Posttranslational modification of proteins is important for signal transduction, and hence
significant effort has gone toward understanding how posttranslational modification …
significant effort has gone toward understanding how posttranslational modification …
Information theory and signal transduction systems: from molecular information processing to network inference
Sensing and responding to the environment are two essential functions that all biological
organisms need to master for survival and successful reproduction. Developmental …
organisms need to master for survival and successful reproduction. Developmental …
Identifying parameter regions for multistationarity
Mathematical modelling has become an established tool for studying the dynamics of
biological systems. Current applications range from building models that reproduce …
biological systems. Current applications range from building models that reproduce …
Multistationarity in structured reaction networks
Many dynamical systems arising in biology and other areas exhibit multistationarity (two or
more positive steady states with the same conserved quantities). Although deciding …
more positive steady states with the same conserved quantities). Although deciding …
Atoms of multistationarity in chemical reaction networks
Chemical reaction systems are dynamical systems that arise in chemical engineering and
systems biology. In this work, we consider the question of whether the minimal (in a precise …
systems biology. In this work, we consider the question of whether the minimal (in a precise …
Simplifying biochemical models with intermediate species
Mathematical models are increasingly being used to understand complex biochemical
systems, to analyse experimental data and make predictions about unobserved quantities …
systems, to analyse experimental data and make predictions about unobserved quantities …
Topological descriptors of the parameter region of multistationarity: Deciding upon connectivity
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 …
and memory. Revealing the shape and properties of the set of parameters that lead to …
The structure of MESSI biological systems
We introduce a general framework for biological systems, called MESSI systems, that
describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and we prove …
describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and we prove …
Which small reaction networks are multistationary?
Reaction networks taken with mass-action kinetics arise in many settings, such as
epidemiology, population biology, and systems of chemical reactions. Bistable reaction …
epidemiology, population biology, and systems of chemical reactions. Bistable reaction …
Catalytic constants enable the emergence of bistability in dual phosphorylation
Dual phosphorylation of proteins is a principal component of intracellular signalling.
Bistability is considered an important property of such systems and its origin is not yet …
Bistability is considered an important property of such systems and its origin is not yet …