Crisis on skid row

We consider an idealized model of Ca2+ release from internal stores in living cells (the skid row relay) in order to explore the effect of the distribution of release sites. The skid row relay is an all or none release model in which a fixed amount of Ca2+ is released when the cytosolic Ca2+ density...

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Autor principal: Ponce Dawson, Silvina
Publicado: 1998
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p141_Pearson
http://hdl.handle.net/20.500.12110/paper_03784371_v257_n1-4_p141_Pearson
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spelling paper:paper_03784371_v257_n1-4_p141_Pearson2023-06-08T15:39:51Z Crisis on skid row Ponce Dawson, Silvina Approximation theory Calcium Cells Physiological models Statistical mechanics Intracellular stores Skid row relay Cytology We consider an idealized model of Ca2+ release from internal stores in living cells (the skid row relay) in order to explore the effect of the distribution of release sites. The skid row relay is an all or none release model in which a fixed amount of Ca2+ is released when the cytosolic Ca2+ density in the vicinity of the release site reaches a threshold. Depending on the time and space scales the skid row relay can support traveling waves with a velocity that scales as either D1/2 or D (where D is the diffusion coefficient for Ca2+). The former scaling holds when the continuum approximation for the distribution of release sites is valid. The latter holds when the release sites are sufficiently far apart. We determine an analytic expression for the velocity of propagating waves in the two regimes. In the discrete case it can be shown that traveling wave solutions do not exist if the release sites are too far apart or do not release enough Ca2+ or if the threshold for release is too high. Well before the traveling wave ceases to exist, the wave loses stability through period doubling and crisis. © 1998 Published by Elsevier Science B.V. All rights reserved. Fil:Ponce-Dawson, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1998 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p141_Pearson http://hdl.handle.net/20.500.12110/paper_03784371_v257_n1-4_p141_Pearson
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Approximation theory
Calcium
Cells
Physiological models
Statistical mechanics
Intracellular stores
Skid row relay
Cytology
spellingShingle Approximation theory
Calcium
Cells
Physiological models
Statistical mechanics
Intracellular stores
Skid row relay
Cytology
Ponce Dawson, Silvina
Crisis on skid row
topic_facet Approximation theory
Calcium
Cells
Physiological models
Statistical mechanics
Intracellular stores
Skid row relay
Cytology
description We consider an idealized model of Ca2+ release from internal stores in living cells (the skid row relay) in order to explore the effect of the distribution of release sites. The skid row relay is an all or none release model in which a fixed amount of Ca2+ is released when the cytosolic Ca2+ density in the vicinity of the release site reaches a threshold. Depending on the time and space scales the skid row relay can support traveling waves with a velocity that scales as either D1/2 or D (where D is the diffusion coefficient for Ca2+). The former scaling holds when the continuum approximation for the distribution of release sites is valid. The latter holds when the release sites are sufficiently far apart. We determine an analytic expression for the velocity of propagating waves in the two regimes. In the discrete case it can be shown that traveling wave solutions do not exist if the release sites are too far apart or do not release enough Ca2+ or if the threshold for release is too high. Well before the traveling wave ceases to exist, the wave loses stability through period doubling and crisis. © 1998 Published by Elsevier Science B.V. All rights reserved.
author Ponce Dawson, Silvina
author_facet Ponce Dawson, Silvina
author_sort Ponce Dawson, Silvina
title Crisis on skid row
title_short Crisis on skid row
title_full Crisis on skid row
title_fullStr Crisis on skid row
title_full_unstemmed Crisis on skid row
title_sort crisis on skid row
publishDate 1998
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v257_n1-4_p141_Pearson
http://hdl.handle.net/20.500.12110/paper_03784371_v257_n1-4_p141_Pearson
work_keys_str_mv AT poncedawsonsilvina crisisonskidrow
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