Geodesic
The basic mathematical model for the description of regulatory processes of protein biosynthesis
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 26 (2016) no. 4, pp. 515-524

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In this paper we propose a model to describe the kinetics of the main processes regulating protein biosynthesis. For the resulting model we include above all the following processes: regulation of RNA transcription, splicing, nuclear transport, as well as regulation of the RNA translation. The main objective of this model is to provide some basic tools for the modelling of the intracellular biochemistry, which will be based on physically rigorous equations and biologically sound coefficients. To achieve this goal, we divide variables into two blocks: the number in the nucleus and the number in the cell cytoplasm for proteins and RNA, and apply the principle of geometric probability. Moreover, all the effects on gene transcription are modelled by using special variables, the probabilities of attachment of the regulatory complex to the gene. A specific example of such a complex is the RNA polymerase, and accordingly, by changing the probability of its connection to DNA one will change directly the rate of the gene transcription initiation.
Keywords: intercellular biochemistry, gene regulatory networks, gene expression regulation, nuclear transport. 
M. N. Nazarov. The basic mathematical model for the description of regulatory processes of protein biosynthesis. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 26 (2016) no. 4, pp. 515-524. http://geodesic.mathdoc.fr/item/VUU_2016_26_4_a5/
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