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  • In this work we extend a previously published quantitative method of calculating the threshold set in two-dimensional excitable systems for models with three variables. A two-dimensional threshold surface is found as a set of threshold trajectories calculated step by step in profiles of phase space. This highly nonlinear boundary value problem can be solved numerically with the use of multiple shooting and continuation method. We test this technique by using a mathematical model of biochemical oscillator with two positive feedbacks due to Decroly and Goldbeter (1982).
  • In this work we extend a previously published quantitative method of calculating the threshold set in two-dimensional excitable systems for models with three variables. A two-dimensional threshold surface is found as a set of threshold trajectories calculated step by step in profiles of phase space. This highly nonlinear boundary value problem can be solved numerically with the use of multiple shooting and continuation method. We test this technique by using a mathematical model of biochemical oscillator with two positive feedbacks due to Decroly and Goldbeter (1982). (en)
  • Tato práce představuje rozšíření dříve publikované metody kvantitativního určení prahové množiny ve dvourozměrných excitabilních systémech nově pro modely se třemi proměnnými. Dvojrozměrné prahové rozhraní je tvořeno množinou jednotlivých prahových trajektorií vypočtených postupně v řezech fázovým prostorem. Odpovídající vysoce nelineární okrajovou úlohu lze řešit numericky, kontinuační technikou spojenou s metodou vícenásobné střelby. Navržený výpočetní postup byl testován na matematickém modelu biochemického oscilátoru se dvěma pozitivními zpětnými vazbami autorů Decroly and Goldbeter (1982). (cs)
Title
  • Vývoj metod pro kvantitativní studium excitability třírozměrných dynamických systémů (cs)
  • Development of methods for quantitative study of excitability in three-dimensional dynamical systems
  • Development of methods for quantitative study of excitability in three-dimensional dynamical systems (en)
skos:prefLabel
  • Vývoj metod pro kvantitativní studium excitability třírozměrných dynamických systémů (cs)
  • Development of methods for quantitative study of excitability in three-dimensional dynamical systems
  • Development of methods for quantitative study of excitability in three-dimensional dynamical systems (en)
skos:notation
  • RIV/60461373:22340/04:00013205!RIV/2005/GA0/223405/N
http://linked.open.../vavai/riv/strany
  • P1.50(1-9)
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA203/03/0488), Z(MSM 223400007)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 560241
http://linked.open...ai/riv/idVysledku
  • RIV/60461373:22340/04:00013205
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  • excitable;perturbation;threshold;amplification (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [726ED84CD178]
http://linked.open...v/mistoKonaniAkce
  • Praha
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  • Praha
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  • Proceedings 16th International Congress of Chemical and Process Engineering CHISA 2004
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Schreiber, Igor
  • Voslař, Michal
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Ing. Jan Novosad, Procesní inženýrství
https://schema.org/isbn
  • 80-86059-40-5
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  • 22340
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