LEADER 03109nam 2200541 450 001 996466415603316 005 20220610115309.0 010 $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(EXLCZ)994100000011933480 100 $a20220122d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSystems biology $emodeling, analysis, and simulation /$fJinzhi Lei 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dŠ2021 215 $a1 online resource (XII, 308 p. 95 illus., 69 illus. in color.) 225 1 $aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4789 311 $a3-030-73032-8 327 $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,$x2193-4789 606 $aSystems biology$xMathematical models 606 $aBiologia de sistemes$2thub 606 $aModels matemātics$2thub 608 $aLlibres electrōnics$2thub 615 0$aSystems biology$xMathematical models. 615 7$aBiologia de sistemes 615 7$aModels matemātics 676 $a570.15 700 $aLei$b Jinzhi$0847443 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466415603316 996 $aSystems Biology$91892884 997 $aUNISA