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Statements

Subject Item
n2:RIV%2F60461373%3A22340%2F05%3A00014621%21RIV11-GA0-22340___
rdf:type
skos:Concept n14:Vysledek
dcterms:description
A two-dimensional threshold surface of an excitable system is found as a set of threshold trajectories calculated step by step in cross-sections of the phase space. The method leads to a highly nonlinear boundary value problem that can be solved numerically with the use of adaptive multiple shooting and continuation methods. We demonstrate this technique by examining a model of a biochemical oscillator with two positive feedbacks. Generalization to arbitrary dimension is discussed. A two-dimensional threshold surface of an excitable system is found as a set of threshold trajectories calculated step by step in cross-sections of the phase space. The method leads to a highly nonlinear boundary value problem that can be solved numerically with the use of adaptive multiple shooting and continuation methods. We demonstrate this technique by examining a model of a biochemical oscillator with two positive feedbacks. Generalization to arbitrary dimension is discussed.
dcterms:title
THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS
skos:prefLabel
THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS THRESHOLDS AND EXCITABILITY IN THREE-DIMENSIONAL DYNAMICAL SYSTEMS
skos:notation
RIV/60461373:22340/05:00014621!RIV11-GA0-22340___
n3:aktivita
n6:P n6:Z
n3:aktivity
P(GA203/03/0488), P(GP203/02/D051), Z(MSM6046137306)
n3:cisloPeriodika
1
n3:dodaniDat
n13:2011
n3:domaciTvurceVysledku
n12:1583980 n12:2329689
n3:druhVysledku
n17:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n19:predkladatel
n3:idSjednocenehoVysledku
546783
n3:idVysledku
RIV/60461373:22340/05:00014621
n3:jazykVysledku
n18:eng
n3:klicovaSlova
chemical excitability; superthreshold perturbation; nonlinear dynamics
n3:klicoveSlovo
n9:nonlinear%20dynamics n9:chemical%20excitability n9:superthreshold%20perturbation
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[6D1074DA1CDA]
n3:nazevZdroje
Physical Review E
n3:obor
n16:CI
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n11:GA203%2F03%2F0488 n11:GP203%2F02%2FD051
n3:rokUplatneniVysledku
n13:2005
n3:svazekPeriodika
72
n3:tvurceVysledku
Schreiber, Igor Voslař, Michal
n3:wos
000230887100053
n3:zamer
n8:MSM6046137306
s:issn
1539-3755
s:numberOfPages
4
n7:organizacniJednotka
22340