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001 978-3-540-31544-5
003 DE-He213
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007 cr nn 008mamaa
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020 _a9783540315445
_9978-3-540-31544-5
024 7 _a10.1007/b102786
_2doi
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPDE
_2thema
082 0 4 _a570.285
_223
100 1 _aBorisyuk, Alla.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTutorials in Mathematical Biosciences I
_h[electronic resource] :
_bMathematical Neuroscience /
_cby Alla Borisyuk, Avner Friedman, Bard Ermentrout, David Terman.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2005.
300 _aX, 170 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Biosciences Subseries,
_x2524-6771 ;
_v1860
505 0 _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.
520 _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.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 0 _aNeurobiology.
650 0 _aBiology
_xData processing.
650 1 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
650 2 4 _aOrdinary Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12147
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aComputational Mathematics and Numerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M1400X
650 2 4 _aNeurobiology.
_0http://scigraph.springernature.com/things/product-market-codes/L25066
650 2 4 _aComputer Appl. in Life Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/L17004
700 1 _aFriedman, Avner.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aErmentrout, Bard.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aTerman, David.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540805137
776 0 8 _iPrinted edition:
_z9783540238584
830 0 _aMathematical Biosciences Subseries,
_x2524-6771 ;
_v1860
856 4 0 _uhttps://doi.org/10.1007/b102786
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11133
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