000 02249cam a2200289zu 4500
001 88817644
003 FRCYB88817644
005 20250107103212.0
006 m o d
007 cr un
008 250107s2013 fr | o|||||0|0|||eng d
020 _a9780124114685
035 _aFRCYB88817644
040 _aFR-PaCSA
_ben
_c
_erda
100 1 _aBrzychczy, Stanislaw
245 0 1 _aMathematical Neuroscience
_c['Brzychczy, Stanislaw', 'Poznanski, Roman R.']
264 1 _bElsevier Science
_c2013
300 _a p.
336 _btxt
_2rdacontent
337 _bc
_2rdamdedia
338 _bc
_2rdacarrier
650 0 _a
700 0 _aBrzychczy, Stanislaw
700 0 _aPoznanski, Roman R.
856 4 0 _2Cyberlibris
_uhttps://international.scholarvox.com/netsen/book/88817644
_qtext/html
_a
520 _aMathematical 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
999 _c13964
_d13964