LEADER 03899nam 22006855 450 001 9910733720503321 005 20200704024553.0 010 $a3-319-03080-9 024 7 $a10.1007/978-3-319-03080-7 035 $a(CKB)3710000000085762 035 $a(DE-He213)978-3-319-03080-7 035 $a(SSID)ssj0001187389 035 $a(PQKBManifestationID)11773448 035 $a(PQKBTitleCode)TC0001187389 035 $a(PQKBWorkID)11257143 035 $a(PQKB)10459975 035 $a(MiAaPQ)EBC6296894 035 $a(MiAaPQ)EBC5578940 035 $a(Au-PeEL)EBL5578940 035 $a(OCoLC)876283825 035 $a(PPN)176107444 035 $a(EXLCZ)993710000000085762 100 $a20140122d2013 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonautonomous Dynamical Systems in the Life Sciences /$fedited by Peter E. Kloeden, Christian Pötzsche 205 $a1st ed. 2013. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2013. 215 $a1 online resource (XVIII, 314 p. 67 illus., 31 illus. in color.) 225 1 $aMathematical Biosciences Subseries,$x2524-6771 ;$v2102 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-03079-5 327 $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. 330 $aNonautonomous dynamics describes the qualitative behavior of evolutionary differential and difference equations, whose right-hand side is explicitly time dependent. Over recent years, the theory of such systems has developed into a highly active field related to, yet recognizably distinct from that of classical autonomous dynamical systems. This development was motivated by problems of applied mathematics, in particular in the life sciences where genuinely nonautonomous systems abound. The purpose of this monograph is to indicate through selected, representative examples how often nonautonomous systems occur in the life sciences and to outline the new concepts and tools from the theory of nonautonomous dynamical systems that are now available for their investigation. 410 0$aMathematical Biosciences Subseries,$x2524-6771 ;$v2102 606 $aDynamics 606 $aErgodic theory 606 $aBiomathematics 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aBiomathematics. 615 14$aDynamical Systems and Ergodic Theory. 615 24$aMathematical and Computational Biology. 615 24$aGenetics and Population Dynamics. 676 $a531.11 702 $aKloeden$b Peter E$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPötzsche$b Christian$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910733720503321 996 $aNonautonomous dynamical systems in the life sciences$9258659 997 $aUNINA