LEADER 04654 am 22008173u 450 001 9910164341503321 005 20230125215300.0 010 $a3-319-30030-X 024 7 $a10.1007/978-3-319-30030-6 035 $a(CKB)3710000000653674 035 $a(SSID)ssj0001665929 035 $a(PQKBManifestationID)16455281 035 $a(PQKBTitleCode)TC0001665929 035 $a(PQKBWorkID)15000374 035 $a(PQKB)10468340 035 $a(DE-He213)978-3-319-30030-6 035 $a(MiAaPQ)EBC5586499 035 $a(Au-PeEL)EBL5586499 035 $a(OCoLC)1066177433 035 $z(PPN)25885152X 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/35887 035 $a(PPN)193444410 035 $a(EXLCZ)993710000000653674 100 $a20160419d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aComputing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models$b[electronic resource] /$fby Aslak Tveito, Glenn T. Lines 205 $a1st ed. 2016. 210 $aBasingstoke$cSpringer Nature$d2015 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XVI, 261 p. 129 illus., 30 illus. in color.) 225 1 $aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v111 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-30029-6 327 $aPreface -- Background: Contents and Method -- One-dimensional calcium release -- Models of open and state blockers -- Two-dimensional calcium release -- Computing theoretical drugs in the two-dimensional case -- Generalized systems -- Calcium-induced calcium release -- Numerical release for CICR -- A prototypical model of an ion channel -- Inactivated ion channels -- A simple model of the sodium channel -- Mutations affecting the mean open time -- The burst mode -- Whole sale action potentials -- . 330 $aFlow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various drugs. Examples in the text include stochastic calcium release from internal storage systems in cells, as well as stochastic models of the transmembrane potential. Well known Markov models are studied and a systematic approach to including the effect of mutations is presented. Lastly, the book shows how to derive the optimal properties of a theoretical model of a drug for a given mutation defined in terms of a Markov model. 410 0$aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v111 606 $aComputer mathematics 606 $aMedicine 606 $aOptical data processing 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aBiomedicine, general$3https://scigraph.springernature.com/ontologies/product-market-codes/B0000X 606 $aComputer Imaging, Vision, Pattern Recognition and Graphics$3https://scigraph.springernature.com/ontologies/product-market-codes/I22005 610 $aLife Sciences 610 $aPharmacology and Toxicology 610 $aEconomics 610 $aPolitical Economy 610 $aDevelopment 610 $aInternational Relations 610 $aInternational Political Economy 610 $aAfrican Studies 610 $aAfrican Economics 615 0$aComputer mathematics. 615 0$aMedicine. 615 0$aOptical data processing. 615 14$aComputational Science and Engineering. 615 24$aBiomedicine, general. 615 24$aComputer Imaging, Vision, Pattern Recognition and Graphics. 676 $a004 700 $aTveito$b Aslak$4aut$4http://id.loc.gov/vocabulary/relators/aut$041984 702 $aLines$b Glenn T$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910164341503321 996 $aComputing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models$92119924 997 $aUNINA