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Markovian Model of Gene Induction
Author

Jean Peccoud
Organization: TIMC-IMAG, Faculté de médecine de Grenoble
Old MathSource #

0207-908
Revision date

1995-11-14
Description

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.
Subject

*Science > Biology
Keywords

synthesis of proteins, birth-and-death process, protein molecules, random fluctuations, theoretical population biology
Downloads Download Wolfram CDF Player

Download
GITutorial.nb (21.6 KB) - Some explanation notes about the functions defined in the package
Download
GeneInduction.m (10.4 KB) - A package which provides a function to compute the generating function, mean, and variance of the protein number
Download
iap.ps (156.7 KB) - PostScript file of the Theoretical Population Biology paper
Download
iap.tex (28.8 KB) - The TeX file of the Theoretical Population Biology paper

Files specific to Mathematica 2.2 version:
Download
GITutorial.ma (13.8 KB) - Some explanation notes about the functions defined in the package
Download
GeneInduction.m (14.8 KB) - A package which provides a function to compute the generating function, mean, and variance of the protein number