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001 978-3-319-03080-7
003 DE-He213
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008 140122s2013 gw | s |||| 0|eng d
020 _a9783319030807
_9978-3-319-03080-7
024 7 _a10.1007/978-3-319-03080-7
_2doi
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
100 1 _aKloeden, Peter E.
_eeditor.
245 1 0 _aNonautonomous Dynamical Systems in the Life Sciences
_h[electronic resource] /
_cedited by Peter E. Kloeden, Christian Pötzsche.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aXVIII, 312 p. 67 illus., 31 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2102
505 0 _aNonautonomous dynamical systems in the life sciences -- Random dynamical systems with inputs -- Canard theory and excitability -- Stimulus-response reliability of biological networks -- Coupled nonautonomous oscillators -- Multisite mechanisms for ultrasensitivity in signal transduction -- Mathematical concepts in pharmacokinetics and pharmacodynamics with application to tumor growth -- Viral kinetic modeling of chronic hepatitis C and B infection -- Some classes of stochastic differential equations as an alternative modeling approach to biomedical problems.
520 _aNonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. This development was motivated by problems of applied mathematics, in particular in the life sciences where genuinely nonautonomous systems abound. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation.
650 0 _aMathematics.
650 0 _aDifferentiable dynamical systems.
650 0 _aGenetics
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aMathematical and Computational Biology.
650 2 4 _aGenetics and Population Dynamics.
700 1 _aPötzsche, Christian.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319030791
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2102
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-03080-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c96637
_d96637