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Markovian Model of Gene Induction
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| Organization: | TIMC-IMAG, Faculté de médecine de Grenoble |
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0207-908
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1995-11-14
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Since the synthesis of proteins can be viewed, at the cellular level, as a catalysis with a single molecule of catalyser i.e. the gene, the number of protein molecules is subjected to random fluctuations. The gene induction phenomenon has been modelled by a birth-and-death process in random environment which has been studied in:
Peccoud,J.; Ycart, B. (1995) Markovian Modelling of Gene Product Synthesis. Theoretical Population Biology (in press).
The GeneInduction package provides the reader of this paper the tools to compute himself either numerically or symbolically the results reported in the paper.
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synthesis of proteins, birth-and-death process, protein molecules, random fluctuations, theoretical population biology
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| GITutorial.nb (21.6 KB) - Some explanation notes about the functions defined in the package | | GeneInduction.m (10.4 KB) - A package which provides a function to compute the generating function, mean, and variance of the protein number | | iap.ps (156.7 KB) - PostScript file of the Theoretical Population Biology paper | | iap.tex (28.8 KB) - The TeX file of the Theoretical Population Biology paper |
Files specific to Mathematica 2.2 version:
| | GITutorial.ma (13.8 KB) - Some explanation notes about the functions defined in the package | | GeneInduction.m (14.8 KB) - A package which provides a function to compute the generating function, mean, and variance of the protein number |
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