Computational modelling of the receptor-tyrosine-kinase-activated MAPK pathway

RJ Orton, OE Sturm, V Vyshemirsky… - Biochemical …, 2005 - portlandpress.com
The MAPK (mitogen-activated protein kinase) pathway is one of the most important and
intensively studied signalling pathways. It is at the heart of a molecular-signalling network …

Rules for modeling signal-transduction systems

WS Hlavacek, JR Faeder, ML Blinov, RG Posner… - Science's …, 2006 - science.org
Formalized rules for protein-protein interactions have recently been introduced to represent
the binding and enzymatic activities of proteins in cellular signaling. Rules encode an …

Bio-PEPA: A framework for the modelling and analysis of biological systems

F Ciocchetta, J Hillston - Theoretical Computer Science, 2009 - Elsevier
In this work we present Bio-PEPA, a process algebra for the modelling and the analysis of
biochemical networks. It is a modification of PEPA, originally defined for the performance …

Petri nets for systems and synthetic biology

M Heiner, D Gilbert, R Donaldson - … school on formal methods for the …, 2008 - Springer
We give a description of a Petri net-based framework for modelling and analysing
biochemical pathways, which unifies the qualitative, stochastic and continuous paradigms …

A bayesian approach to model checking biological systems

SK Jha, EM Clarke, CJ Langmead, A Legay… - … Methods in Systems …, 2009 - Springer
Recently, there has been considerable interest in the use of Model Checking for Systems
Biology. Unfortunately, the state space of stochastic biological models is often too large for …

Scalable simulation of cellular signaling networks

V Danos, J Feret, W Fontana, J Krivine - Asian Symposium on …, 2007 - Springer
Given the combinatorial nature of cellular signalling pathways, where biological agents can
bind and modify each other in a large number of ways, concurrent or agent-based …

Probabilistic model checking of complex biological pathways

J Heath, M Kwiatkowska, G Norman, D Parker… - Theoretical Computer …, 2008 - Elsevier
Probabilistic model checking is a formal verification technique that has been successfully
applied to the analysis of systems from a broad range of domains, including security and …

[HTML][HTML] When kinases meet mathematics: the systems biology of MAPK signalling

W Kolch, M Calder, D Gilbert - FEBS letters, 2005 - Elsevier
The mitogen activated protein kinase/extracellular signal regulated kinase pathway
regulates fundamental cellular function such as cell proliferation, survival, differentiation and …

A reversible process calculus and the modelling of the ERK signalling pathway

I Phillips, I Ulidowski, S Yuen - … , RC 2012, Copenhagen, Denmark, July 2 …, 2013 - Springer
We introduce a reversible process calculus with a new feature of execution control that
allows us to change the direction and pattern of computation. This feature allows us to model …

Using probabilistic model checking in systems biology

M Kwiatkowska, G Norman, D Parker - ACM SIGMETRICS Performance …, 2008 - dl.acm.org
Probabilistic model checking is a formal verification framework for systems which exhibit
stochastic behaviour. It has been successfully applied to a wide range of domains, including …