LEADER 04620nam 22007575 450 001 9910150448703321 005 20251113211224.0 010 $a3-319-45318-1 024 7 $a10.1007/978-3-319-45318-7 035 $a(CKB)3710000000943208 035 $a(DE-He213)978-3-319-45318-7 035 $a(MiAaPQ)EBC4740941 035 $a(PPN)197139078 035 $a(EXLCZ)993710000000943208 100 $a20161110d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSimple Mathematical Models of Gene Regulatory Dynamics /$fby Michael C. Mackey, Moisés Santillán, Marta Tyran-Kami?ska, Eduardo S. Zeron 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIV, 124 p. 20 illus. in color.) 225 1 $aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4797 311 08$a3-319-45317-3 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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. 330 $aThis is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with extensive reference to applicable results coming from dynamical systems theory. The second part of the notes treats extensively several approaches to the study of gene-network dynamics in the presence of noise?either arising from low numbers of molecules involved, or due to noise external to the regulatory process. The third and final part of the notes gives a detailed treatment of three well studied and concrete examples of gene-network dynamics by considering the lactose operon, the tryptophan operon, and the lysis-lysogeny switch. The notes contain an index for easy location of particular topics as well as an extensive bibliography of the current literature. The target audience of these notes are mainly graduates students and young researchers with a solid mathematical background (calculus, ordinary differential equations, and probability theory at a minimum), as well as with basic notions of biochemistry, cell biology, and molecular biology. They are meant to serve as a readable and brief entry point into a field that is currently highly active, and will allow the reader to grasp the current state of research and so prepare them for defining and tackling new research problems. 410 0$aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4797 606 $aMolecular genetics 606 $aBiomathematics 606 $aBioinformatics 606 $aMathematics 606 $aDifferential equations 606 $aProbabilities 606 $aMolecular Genetics 606 $aMathematical and Computational Biology 606 $aComputational and Systems Biology 606 $aApplications of Mathematics 606 $aDifferential Equations 606 $aProbability Theory 615 0$aMolecular genetics. 615 0$aBiomathematics. 615 0$aBioinformatics. 615 0$aMathematics. 615 0$aDifferential equations. 615 0$aProbabilities. 615 14$aMolecular Genetics. 615 24$aMathematical and Computational Biology. 615 24$aComputational and Systems Biology. 615 24$aApplications of Mathematics. 615 24$aDifferential Equations. 615 24$aProbability Theory. 676 $a511.8 700 $aMackey$b Michael C$4aut$4http://id.loc.gov/vocabulary/relators/aut$060468 702 $aSantillán$b Moisés$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTyran-Kami?ska$b Marta$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZeron$b Eduardo S$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910150448703321 996 $aSimple Mathematical Models of Gene Regulatory Dynamics$92093309 997 $aUNINA