Simple Mathematical Models of Gene Regulatory Dynamics (Paperback, 1st ed. 2016)

This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with extensive reference to applicable results coming from dynamical systems theory. The second part of the notes treats extensively several approaches to the study of gene-network dynamics in the presence of noise-either arising from low numbers of molecules involved, or due to noise external to the regulatory process. The third and final part of the notes gives a detailed treatment of three well studied and concrete examples of gene-network dynamics by considering the lactose operon, the tryptophan operon, and the lysis-lysogeny switch. The notes contain an index for easy location of particular topics as well as an extensive bibliography of the current literature. The target audience of these notes are mainly graduates students and young researchers with a solid mathematical background (calculus, ordinary differential equations, and probability theory at a minimum), as well as with basic notions of biochemistry, cell biology, and molecular biology. They are meant to serve as a readable and brief entry point into a field that is currently highly active, and will allow the reader to grasp the current state of research and so prepare them for defining and tackling new research problems.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes on Mathematical Modelling in the Life Sciences
Release date:	November 2016
First published:	2016
Authors:	Michael C. Mackey • Moises Santillan • Marta Tyran-Kaminska • Eduardo S. Zeron
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	124
Edition:	1st ed. 2016
ISBN-13:	978-3-319-45317-0
Categories:	Books > Medicine > Pre-clinical medicine: basic sciences > Medical genetics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Biology, life sciences > Life sciences: general issues > Genetics (non-medical) > General
LSN:	3-319-45317-3
Barcode:	9783319453170

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