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Statements

Subject Item
n2:RIV%2F60461373%3A22340%2F11%3A43892280%21RIV12-MSM-22340___
rdf:type
skos:Concept n18:Vysledek
dcterms:description
We study effects of convective flow on velocity of signal transmission in epithelial tissue. It has been found that the convective transport is necessary in many developmental processes such as vascular and lymphatic system formation. Here, we focus on a one-layer epithelium system. We consider positive feedback loop ligand transport -} ligand-receptor binding -} intracellular processing -} ligand release. When a combination of diffusion and convective transport is considered in the extracellular space, we can see different regimes of ligand propagation or withdrawal at the epithelium. Parametrical studies dealing with effects of strength of ligand-receptor binding, geometric parameters, importance of ligand-receptor endocytosis or relative strength of ligand formation on signal propagation will be shown. We have developed three mathematical models that differ according to flow character above the epithelium: (i) plug flow along the epithelium, (ii) simplified plug flow model that exploits the thin fin approximation, (iii) laminar flow along the epithelium. We also found exact solutions of the models (i) and (ii) in asymptotic cases. All models were analyzed numerically (Comsol). When results of these models were compared, we realized that the simplified model (ii), which is spatially one-dimensional, describes behavior of the system with sufficient precision in most of physically relevant regimes. Hence, comprehensive continuation analysis of the model was carried out (AUTO-07p). We study effects of convective flow on velocity of signal transmission in epithelial tissue. It has been found that the convective transport is necessary in many developmental processes such as vascular and lymphatic system formation. Here, we focus on a one-layer epithelium system. We consider positive feedback loop ligand transport -} ligand-receptor binding -} intracellular processing -} ligand release. When a combination of diffusion and convective transport is considered in the extracellular space, we can see different regimes of ligand propagation or withdrawal at the epithelium. Parametrical studies dealing with effects of strength of ligand-receptor binding, geometric parameters, importance of ligand-receptor endocytosis or relative strength of ligand formation on signal propagation will be shown. We have developed three mathematical models that differ according to flow character above the epithelium: (i) plug flow along the epithelium, (ii) simplified plug flow model that exploits the thin fin approximation, (iii) laminar flow along the epithelium. We also found exact solutions of the models (i) and (ii) in asymptotic cases. All models were analyzed numerically (Comsol). When results of these models were compared, we realized that the simplified model (ii), which is spatially one-dimensional, describes behavior of the system with sufficient precision in most of physically relevant regimes. Hence, comprehensive continuation analysis of the model was carried out (AUTO-07p).
dcterms:title
Effects of convective flow and extracellular inhibitors on EGFR signaling - mathematical modeling Effects of convective flow and extracellular inhibitors on EGFR signaling - mathematical modeling
skos:prefLabel
Effects of convective flow and extracellular inhibitors on EGFR signaling - mathematical modeling Effects of convective flow and extracellular inhibitors on EGFR signaling - mathematical modeling
skos:notation
RIV/60461373:22340/11:43892280!RIV12-MSM-22340___
n18:predkladatel
n20:orjk%3A22340
n3:aktivita
n15:S n15:P
n3:aktivity
P(ME10036), S
n3:dodaniDat
n6:2012
n3:domaciTvurceVysledku
n14:8811199 n14:6965032
n3:druhVysledku
n9:D
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n21:predkladatel
n3:idSjednocenehoVysledku
196616
n3:idVysledku
RIV/60461373:22340/11:43892280
n3:jazykVysledku
n12:eng
n3:klicovaSlova
mathematical modeling; signaling; inhibition; EGFR; convective flow
n3:klicoveSlovo
n4:inhibition n4:signaling n4:convective%20flow n4:EGFR n4:mathematical%20modeling
n3:kontrolniKodProRIV
[714E1766506B]
n3:mistoKonaniAkce
Minneapolis
n3:mistoVydani
Washington
n3:nazevZdroje
2011 AIChE Fall Annual Meeting
n3:obor
n11:CI
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n22:ME10036
n3:rokUplatneniVysledku
n6:2011
n3:tvurceVysledku
Nebyla, Marek Přibyl, Michal
n3:typAkce
n19:WRD
n3:zahajeniAkce
2011-10-16+02:00
s:numberOfPages
9
n10:hasPublisher
American Chemical Society
n8:isbn
978-0-8169-1070-0
n7:organizacniJednotka
22340