Modelling of Biochemical Reactions by Stochastic Automata Networks
نویسنده
چکیده
This paper presents a stochastic modelling framework based on stochastic automata networks (SANs) for the analysis of complex biochemical reaction networks. Our approach takes into account the discrete character of quantities of components (i.e. the individual populations of the involved chemical species) and the inherent probabilistic nature of microscopic molecular collisions. Moreover, as for process calculi that have recently been applied to systems in biology, the SAN approach has the advantage of a modular design process being adequate for abstraction purposes. The associated composition operator leads to an elegant and compact representation of the underlying continuous-time Markov chain in form of a Kronecker product. SANs have been extensively used in performance analysis of computer systems and a large variety of numerical and simulative analysis algorithms exist. We illustrate that describing a biochemical reaction network by means of a SAN offers promising opportunities to get insight into the quantitative behaviour of systems in biology while taking advantage of the benefits of a compositional modelling approach.
منابع مشابه
Particle-based Simulation of Biochemical Networks
References 1) Chopard, B. and Droz, M. Cellular Automata Modeling of Physical Systems, Cambridge 1998. 2) Blom, J. G. and Peletier, M. A. Diffusive Gradients in the PTS System, Tech. report MAS-R00200, CWI Amsterdam 2000. 3) Gillespie, D. T. Exact Stochastic Simulation of Coupled Chemical Reactions, J. Phys. Chem. 81(25) 23402361, 1977. 4) Vidal Rodríguez, J. Mesoscopic Stochastic Modelling for...
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عنوان ژورنال:
- Electr. Notes Theor. Comput. Sci.
دوره 171 شماره
صفحات -
تاریخ انتشار 2007