LEADER 05881nam 22007335 450 001 9910279756903321 005 20200630072842.0 010 $a1-4899-7980-8 024 7 $a10.1007/978-1-4899-7980-3 035 $a(CKB)4100000002891940 035 $a(DE-He213)978-1-4899-7980-3 035 $a(MiAaPQ)EBC5610667 035 $a(PPN)225553929 035 $a(EXLCZ)994100000002891940 100 $a20180309d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCellular Automaton Modeling of Biological Pattern Formation $eCharacterization, Examples, and Analysis /$fby Andreas Deutsch, Sabine Dormann 205 $a2nd ed. 2017. 210 1$aBoston, MA :$cBirkhäuser Boston :$cImprint: Birkhäuser,$d2017. 215 $a1 online resource (XXII, 464 p. 174 illus., 80 illus. in color.) 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 311 $a1-4899-7978-6 320 $aIncludes bibliographical references and index. 327 $aIntroduction and Outline -- On the Origin of Patterns -- Modeling Biological Pattern Formation -- Cellular Automata -- Random Movement -- Cell Migration -- Adhesive Cell Interaction -- Alignment and Cellular Swarming -- Growth Processes -- Pigment Cell Pattern Formation -- Tissue Development -- Tumor Growth and Invasion -- Turing Patterns and Excitable Media -- Discussion and Outlook -- Appendix A: Cell Migration -- Appendix B: Growth Processes -- Appendix C: Tumor Growth and Invasion -- Appendix D: Turing Patterns -- Appendix E: Excitable Media -- Appendix F: Isotropy, Lattices, and Tensors -- References -- Index. 330 $aThis text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION ?An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.? ?Mathematical Reviews. 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 606 $aBiomathematics 606 $aMathematical models 606 $aComputer simulation 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aBioinformatics 606 $aComputational biology 606 $aPhysiological, Cellular and Medical Topics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31020 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aComputer Appl. in Life Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/L17004 615 0$aBiomathematics. 615 0$aMathematical models. 615 0$aComputer simulation. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aBioinformatics. 615 0$aComputational biology. 615 14$aPhysiological, Cellular and Medical Topics. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aSimulation and Modeling. 615 24$aApplications of Mathematics. 615 24$aComputer Appl. in Life Sciences. 676 $a571.3 700 $aDeutsch$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0622786 702 $aDormann$b Sabine$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910279756903321 996 $aCellular Automaton Modeling of Biological Pattern Formation$92047131 997 $aUNINA