LEADER 04873nam 22009495 450 001 9910484702003321 005 20200707020625.0 010 $a9783540315445 010 $a3540315446 024 7 $a10.1007/b102786 035 $a(CKB)1000000000231782 035 $a(DE-He213)978-3-540-31544-5 035 $a(SSID)ssj0000320532 035 $a(PQKBManifestationID)11258726 035 $a(PQKBTitleCode)TC0000320532 035 $a(PQKBWorkID)10248081 035 $a(PQKB)10199183 035 $a(MiAaPQ)EBC6314679 035 $a(MiAaPQ)EBC4975848 035 $a(MiAaPQ)EBC5592620 035 $a(Au-PeEL)EBL4975848 035 $a(CaONFJC)MIL140175 035 $a(OCoLC)1024269238 035 $a(Au-PeEL)EBL5592620 035 $a(OCoLC)262677853 035 $a(PPN)123089700 035 $a(EXLCZ)991000000000231782 100 $a20100805d2005 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTutorials in Mathematical Biosciences I $eMathematical Neuroscience /$fby Alla Borisyuk, G. Bard Ermentrout, Avner Friedman, David H. Terman 205 $a1st ed. 2005. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2005. 215 $a1 online resource (IX,170 p.) 225 1 $aMathematical Biosciences Subseries,$x2524-6771 ;$v1860 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783540238584 311 08$a3540238581 327 $aPreface -- A. Friedman: Introduction to Neurons -- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics -- B. Ermentrout: Neural Oscillators -- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System. 330 $aThis volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems. 410 0$aMathematical Biosciences Subseries,$x2524-6771 ;$v1860 606 $aBiomathematics 606 $aDifferential equations 606 $aDifferential equations, Partial 606 $aComputer science$xMathematics 606 $aNeurobiology 606 $aBioinformatics 606 $aComputational biology 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aNeurobiology$3https://scigraph.springernature.com/ontologies/product-market-codes/L25066 606 $aComputer Appl. in Life Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/L17004 615 0$aBiomathematics. 615 0$aDifferential equations. 615 0$aDifferential equations, Partial. 615 0$aComputer science$xMathematics. 615 0$aNeurobiology. 615 0$aBioinformatics. 615 0$aComputational biology. 615 14$aMathematical and Computational Biology. 615 24$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aNeurobiology. 615 24$aComputer Appl. in Life Sciences. 676 $a612.8233 700 $aBorisyuk$b Alla$4aut$4http://id.loc.gov/vocabulary/relators/aut$0600506 702 $aErmentrout$b G. Bard$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aFriedman$b Avner$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aTerman$b David H$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484702003321 996 $aTutorials in Mathematical Biosciences I$92830993 997 $aUNINA