04419nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024002500137082001600162100003100178245017400209264004600383300004700429336002600476337002600502338003600528347002400564490006700588505047000655520214901125650001703274650002503291650002603316650002903342650002603371650001703397650003703414650005403451650004803505650003303553650002903586650004403615700003003659710003403689773002003723776003603743830006703779856009103846978-0-8176-4415-4DE-He21320260521092025.0cr nn 008mamaa100301s2005 xxu| s |||| 0|eng d a9780817644154 a997808176441547 a10.1007/b1384512doi04a570.1512231 aDeutsch, Andreas.eauthor.10aCellular Automaton Modeling of Biological Pattern Formationh[electronic resource] :bCharacterization, Applications, and Analysis /cby Andreas Deutsch, Sabine Dormann. 1aBoston, MA :bBirkhàˆuser Boston,c2005. aXXVI, 334 pp. 131 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aModeling and Simulation in Science, Engineering and Technology0 aGeneral Principles, Theories, and Models of Pattern Formation -- and Outline -- On the Origin of Patterns -- Mathematical Modeling of Biological Pattern Formation -- Cellular Automaton Modeling -- Cellular Automata -- Applications -- Random Movement -- Growth Processes -- Adhesive Cell Interaction -- Alignment and Cellular Swarming -- Pigment Cell Pattern Formation -- Tissue and Tumor Development -- Turing Patterns and Excitable Media -- Discussion and Outlook. aThis book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is divided into three parts: Part I deals with general principles, theories, and models of pattern formation; Part II examines cellular automaton modeling; and Part III explains various applications. The models and analytic techniques described may be extended to other exciting applications in biology, medicine, and immunology. Key topics and features: * Provides an introduction and historical account of the principles of biological pattern formation (morphogenesis) * Gives an overview of mathematical modeling approaches to morphogenesis, and an introduction to cellular automata and analytic techniques * A supplementary web-based Java applet---Cellular Automaton Simulator---enables interactive simulation of various cellular automaton applications described in the book; available on the internet at www.biomodeling.info * Self-contained presentation is accessible to a broad audience; only basic calculus and linear algebra are required * Careful balance of theory, models, and applications useful to both experimentalists and theoreticians * Includes suggestions for further research topics The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling. The book's accessible presentation and interdisciplinary approach make it suitable for graduate and advanced undergraduate courses and seminars in mathematical biology, biomodeling, and biocomputing. 0aMATHEMATICS. 0aCOMPUTER SIMULATION. 0aBIOLOGYxMATHEMATICS. 0aPHYSIOLOGYxMATHEMATICS. 0aMATHEMATICAL PHYSICS.14aMATHEMATICS.24aMATHEMATICAL BIOLOGY IN GENERAL.24aMATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.24aPHYSIOLOGICAL, CELLULAR AND MEDICAL TOPICS.24aAPPLICATIONS OF MATHEMATICS.24aSIMULATION AND MODELING.24aMATHEMATICAL AND COMPUTATIONAL PHYSICS.1 aDormann, Sabine.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817642815 0aModeling and Simulation in Science, Engineering and Technology40uhttp://dx.doi.org/10.1007/b138451zVer el texto completo en las instalaciones del CICY