Stochastic Models and Numerical Algorithms for a Class of Regulatory Gene Networks
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Fournier, Thomas
Department of Mathematics, University of Fribourg, Switzerland
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Gabriel, Jean-Pierre
Department of Mathematics, University of Fribourg, Switzerland
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Mazza, Christian
Department of Mathematics, University of Fribourg, Switzerland
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Pasquier, Jérôme
Department of Mathematics, University of Fribourg, Switzerland
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Galbete, José
Institute of Biotechnology, University of Lausanne, Switzerland
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Mermod, Nicolas
Institute of Biotechnology, University of Lausanne, Switzerland
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Published in:
- Bulletin of Mathematical Biology. - 2009, vol. 71, no. 6, p. 1394-1431
English
Regulatory gene networks contain generic modules, like those involving feedback loops, which are essential for the regulation of many biological functions (Guido et al. in Nature 439:856–860, 2006). We consider a class of self-regulated genes which are the building blocks of many regulatory gene networks, and study the steady-state distribution of the associated Gillespie algorithm by providing efficient numerical algorithms. We also study a regulatory gene network of interest in gene therapy, using mean-field models with time delays. Convergence of the related time- nonhomogeneous Markov chain is established for a class of linear catalytic networks with feedback loops.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Mathématiques
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Language
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Classification
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Biological sciences
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/301091
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