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CMSB
2007
Springer
13 years 11 months ago
A Unifying Framework for Modelling and Analysing Biochemical Pathways Using Petri Nets
We give a description of a Petri net-based framework for modelling and analysing biochemical pathways, which unifies the qualitative, stochastic and continuous paradigms. Each per...
David Gilbert, Monika Heiner, Sebastian Lehrack
CDC
2010
IEEE
141views Control Systems» more  CDC 2010»
13 years 11 days ago
Hybrid moment computation algorithm for biochemical reaction networks
Moment computation is essential to the analysis of stochastic kinetic models of biochemical reaction networks. It is often the case that the moment evolution, usually the first and...
Yun-Bo Zhao, Jongrae Kim, João Pedro Hespan...
BMCBI
2010
175views more  BMCBI 2010»
13 years 5 months ago
Global parameter estimation methods for stochastic biochemical systems
Background: The importance of stochasticity in cellular processes having low number of molecules has resulted in the development of stochastic models such as chemical master equat...
Suresh Kumar Poovathingal, Rudiyanto Gunawan
SIAMSC
2008
149views more  SIAMSC 2008»
13 years 5 months ago
Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation
In systems biology, the stochastic description of biochemical reaction kinetics is increasingly being employed to model gene regulatory networks and signalling pathways. Mathematic...
Peter Deuflhard, Wilhelm Huisinga, T. Jahnke, Mich...
CMSB
2008
Springer
13 years 7 months ago
A Model Checking Approach to the Parameter Estimation of Biochemical Pathways
Model checking has historically been an important tool to verify models of a wide variety of systems. Typically a model has to exhibit certain properties to be classed `acceptable&...
Robin Donaldson, David Gilbert