LEADER 03609nam 22007095 450 001 9910484496803321 005 20251113210329.0 010 $a3-030-73033-6 024 7 $a10.1007/978-3-030-73033-8 035 $a(CKB)4100000011933480 035 $a(DE-He213)978-3-030-73033-8 035 $a(MiAaPQ)EBC6621450 035 $a(Au-PeEL)EBL6621450 035 $a(OCoLC)1251505907 035 $a(PPN)255883641 035 $a(iGPub)SPNA0081545 035 $a(EXLCZ)994100000011933480 100 $a20210513d2021 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSystems Biology $eModeling, Analysis, and Simulation /$fby Jinzhi Lei 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (XII, 308 p. 95 illus., 69 illus. in color.) 225 1 $aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4797 311 08$a3-030-73032-8 320 $aIncludes bibliographical references and index. 327 $a1. Biological Background?Information, Energy, and Matter -- 2. Mathematical Preliminary?Continuous Dynamics -- 3. Mathematical Preliminary?Stochastic Modeling -- 4. Stochastic Modeling of Gene Expression -- 5. Mathematical Models for Gene Regulatory Network Dynamics -- 6. Dynamical Modeling of Stem Cell Regeneration -- 7. Mathematical Models of Morphogen Gradients and Growth Control. 330 $aThis book discusses the mathematical simulation of biological systems, with a focus on the modeling of gene expression, gene regulatory networks and stem cell regeneration. The diffusion of morphogens is addressed by introducing various reaction-diffusion equations based on different hypotheses concerning the process of morphogen gradient formation. The robustness of steady-state gradients is also covered through boundary value problems. The introduction gives an overview of the relevant biological concepts (cells, DNA, organism development) and provides the requisite mathematical preliminaries on continuous dynamics and stochastic modeling. A basic understanding of calculus is assumed. The techniques described in this book encompass a wide range of mechanisms, from molecular behavior to population dynamics, and the inclusion of recent developments in the literature together with first-hand results make it an ideal reference for both new students and experienced researchers in the field of systems biology and applied mathematics. 410 0$aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4797 606 $aDifferential equations 606 $aStochastic models 606 $aBioinformatics 606 $aBiology 606 $aCytology 606 $aDifferential Equations 606 $aStochastic Modelling 606 $aComputational and Systems Biology 606 $aBiological Sciences 606 $aCell Biology 615 0$aDifferential equations. 615 0$aStochastic models. 615 0$aBioinformatics. 615 0$aBiology. 615 0$aCytology. 615 14$aDifferential Equations. 615 24$aStochastic Modelling. 615 24$aComputational and Systems Biology. 615 24$aBiological Sciences. 615 24$aCell Biology. 676 $a570.15 700 $aLei$b Jinzhi$0847443 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484496803321 996 $aSystems Biology$91892884 997 $aUNINA