About: A nonlinear electrophoretic model for PeakMaster: I. Mathematical model

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1002/elps.201100554
Description	We extended the linearized model of electromigration, which is used by PeakMaster, by calculation of nonlinear dispersion and diffusion of zones. The model results in the continuity equation for the shape function ?(x,t) of the zone: ?t = -(v0 + vEMD?)?x + d?xx that contains linear (v0) and nonlinear migration (vEMD), diffusion (d), and subscripts x and t stand for partial derivatives. It is valid for both analyte and system zones, and we present equations how to calculate characteristic zone parameters. We solved the continuity equation by HopfCole transformation and applied it for two different initial conditionsthe Dirac function resulting in the Haarhoff-van der Linde (HVL) function and the rectangular pulse function, which resulted in a function that we denote as the HVLR function. The nonlinear model was implemented in PeakMaster 5.3, which uses the HVLR function to predict the electropherogram for a given background electrolyte and a composition of the sample. HVLR function also enables to draw electropherograms with significantly wide injection zones, which was not possible before. The nonlinear model was tested by a comparison with a simulation by Simul 5, which solves the complete nonlinear model of electromigration numerically. We extended the linearized model of electromigration, which is used by PeakMaster, by calculation of nonlinear dispersion and diffusion of zones. The model results in the continuity equation for the shape function ?(x,t) of the zone: ?t = -(v0 + vEMD?)?x + d?xx that contains linear (v0) and nonlinear migration (vEMD), diffusion (d), and subscripts x and t stand for partial derivatives. It is valid for both analyte and system zones, and we present equations how to calculate characteristic zone parameters. We solved the continuity equation by HopfCole transformation and applied it for two different initial conditionsthe Dirac function resulting in the Haarhoff-van der Linde (HVL) function and the rectangular pulse function, which resulted in a function that we denote as the HVLR function. The nonlinear model was implemented in PeakMaster 5.3, which uses the HVLR function to predict the electropherogram for a given background electrolyte and a composition of the sample. HVLR function also enables to draw electropherograms with significantly wide injection zones, which was not possible before. The nonlinear model was tested by a comparison with a simulation by Simul 5, which solves the complete nonlinear model of electromigration numerically. (en)
Title	A nonlinear electrophoretic model for PeakMaster: I. Mathematical model A nonlinear electrophoretic model for PeakMaster: I. Mathematical model (en)
skos:prefLabel	A nonlinear electrophoretic model for PeakMaster: I. Mathematical model A nonlinear electrophoretic model for PeakMaster: I. Mathematical model (en)
skos:notation	RIV/00216208:11310/12:10120336!RIV13-GA0-11310___
http://linked.open...avai/riv/aktivita	I P S Z
http://linked.open...avai/riv/aktivity	I, P(GA203/08/1428), S, Z(MSM0021620857)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Gaš, Bohuslav Riesová, Martina Hruška, Vlastimil
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	120430
http://linked.open...ai/riv/idVysledku	RIV/00216208:11310/12:10120336
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	System peak; Simulation; Nonlinear electromigration; Eigenvalues; Diffusion (en)
http://linked.open.../riv/klicoveSlovo	Eigenvalues Nonlinear electromigration System peak Simulation Diffusion
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[1445D388AB2F]
http://linked.open...i/riv/nazevZdroje	Electrophoresis
http://linked.open...in/vavai/riv/obor	CB
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Capillary electrophoresis with multidimensinal detection and its application to separation and characterization of biopolymers
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	33
http://linked.open...iv/tvurceVysledku	Gaš, Bohuslav Riesová, Martina Hruška, Vlastimil
http://linked.open...ain/vavai/riv/wos	000303155700006
http://linked.open...n/vavai/riv/zamer	Nové molekulární systémy pro pokročilé aplikace prospěšné pro zdraví a šetrné k životnímu prostředí
issn	0173-0835
number of pages	8 (xsd:int)
http://bibframe.org/vocab/doi	10.1002/elps.201100554
http://localhost/t...ganizacniJednotka	11310

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