03195cam a22004457i 4500 17933692 MWNLS 20151120153525.0 131107s2014 ne afc b 001 0 eng 2013444098 101618687 DNLM 016315514 Uk 9780124114685 0124114687 (OCoLC)ocn824723838 NLM eng NLM rda BTCTA YDXCP UKMGB UNL OCLCF N5L DLC nlmcopyc lccopycat QP357.5 .B79 2014 2013 I-797 WL 20 612.80151 23 Brzychczy, Stanisław, author. Mathematical neuroscience / Stanisław Brzychczy, Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland, Roman R. Poznanski, Computation and Informatics Research Cluster, Instiutute of Research Management and Monitoring, University of Malaya, Kuala Lumpur, Malaysia. xii, 188 pages : illustrations (some color) ; 24 cm Includes bibliographical references (pages 175-185) and index. Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models that describe the spatio-temporal evolution of coarse-grained variables-such as synaptic or firing rate activity in populations of neurons -and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling. The first focused introduction to the use of nonlinear analysis with an infinite dimensional approach to theoretical neuroscience. Combines functional analysis techniques with nonlinear dynamical systems applied to the study of the brain. Introduces powerful mathematical techniques to manage the dynamics and challenges of infinite systems of equations applied to neuroscience modeling. -- Computational neuroscience. Neurosciences Mathematics. Models, Neurological. Computational Biology methods. Neurosciences methods. Nonlinear Dynamics. Computational neuroscience. fast Neurosciences Mathematics. fast Poznanski, Roman R., author. 7 cbc copycat 2 ncip 20 y-gencatlg ddc BK 20588 20588 0 0 ddc 0 0 NFIC HQ HQ GEN 2015-11-20 BAI 8000.00 612.80151 BRZ 0092119 2026-09-14 06:34:18 12000.00 2015-11-20 BK