Simple Mathematical Models of Gene Regulatory Dynamics. 1st ed. 2016

種類:

電子ブック

責任表示:

by Michael C. Mackey, Moisés Santillán, Marta Tyran-Kamińska, Eduardo S. Zeron

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2016

著者名:

• Mackey, Michael C.
• Santillán, Moisés.
• Tyran-Kamińska, Marta.
• Zeron, Eduardo S.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes on Mathematical Modelling in the Life Sciences ;

ISBN:

9783319453187 [3319453181]    

注記:

Introduction -- Part I Deterministic Modeling Techniques -- 1.Generic deterministic models of prokaryotic gene regulation -- 2.General dynamic considerations -- Part II Dealing with Noise -- 3.Master equation modeling approaches -- 4.Noise effects in gene regulation: Intrinsic versus extrinsic -- Part III Specific Examples -- 5.The lactose operon -- 6.The tryptophan operon -- 7.The Lysis-Lysogeny Switch -- Index -- References.
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

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