Two-dimensional model of calcium waves reproduces the patterns observed in Xenopus oocytes

S. Girard; A. Lückhoff; J. Lechleiter; J. Sneyd; D. Clapham

doi:10.1016/S0006-3495(92)81855-6

Two-dimensional model of calcium waves reproduces the patterns observed in Xenopus oocytes

S. Girard, A. Lückhoff, J. Lechleiter, J. Sneyd, D. Clapham

Research output: Contribution to journal › Article › peer-review

71 Scopus citations

Abstract

Biological excitability enables the rapid transmission of physiological signals over distance. Using confocal fluorescence microscopy, we previously reported circular, planar, and spiral waves of Ca2+ in Xenopus laevis oocytes that annihilated one another upon collision. We present experimental evidence that the excitable process underlying wave propagation depends on Ca2+ diffusion and does not require oscillations in inositol (1,4,5)trisphosphate (IP3) concentration. Extending an existing ordinary differential equation (ODE) model of Ca2+ oscillations to two spatial dimensions, we develop a partial differential equation (PDE) model of Ca2+ excitability. The model assumes that cytosolic Ca2+ couples neighboring Ca2+ release sites. This simple PDE model qualitatively reproduces our experimental observations.

Original language	English (US)
Pages (from-to)	509-517
Number of pages	9
Journal	Biophysical Journal
Volume	61
Issue number	2
DOIs	https://doi.org/10.1016/S0006-3495(92)81855-6
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Biophysics

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10.1016/S0006-3495(92)81855-6

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title = "Two-dimensional model of calcium waves reproduces the patterns observed in Xenopus oocytes",

abstract = "Biological excitability enables the rapid transmission of physiological signals over distance. Using confocal fluorescence microscopy, we previously reported circular, planar, and spiral waves of Ca2+ in Xenopus laevis oocytes that annihilated one another upon collision. We present experimental evidence that the excitable process underlying wave propagation depends on Ca2+ diffusion and does not require oscillations in inositol (1,4,5)trisphosphate (IP3) concentration. Extending an existing ordinary differential equation (ODE) model of Ca2+ oscillations to two spatial dimensions, we develop a partial differential equation (PDE) model of Ca2+ excitability. The model assumes that cytosolic Ca2+ couples neighboring Ca2+ release sites. This simple PDE model qualitatively reproduces our experimental observations.",

author = "S. Girard and A. L{\"u}ckhoff and J. Lechleiter and J. Sneyd and D. Clapham",

note = "Funding Information: The J. W. Kieckhefer Foundation supports S. Girard; the American Heart Association supports Dr. Lechleiter and Dr. Clapham; and the National Institutes of Health supports Dr. Clapham.",

year = "1992",

doi = "10.1016/S0006-3495(92)81855-6",

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pages = "509--517",

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T1 - Two-dimensional model of calcium waves reproduces the patterns observed in Xenopus oocytes

AU - Girard, S.

AU - Lückhoff, A.

AU - Lechleiter, J.

AU - Sneyd, J.

AU - Clapham, D.

N1 - Funding Information: The J. W. Kieckhefer Foundation supports S. Girard; the American Heart Association supports Dr. Lechleiter and Dr. Clapham; and the National Institutes of Health supports Dr. Clapham.

PY - 1992

Y1 - 1992

N2 - Biological excitability enables the rapid transmission of physiological signals over distance. Using confocal fluorescence microscopy, we previously reported circular, planar, and spiral waves of Ca2+ in Xenopus laevis oocytes that annihilated one another upon collision. We present experimental evidence that the excitable process underlying wave propagation depends on Ca2+ diffusion and does not require oscillations in inositol (1,4,5)trisphosphate (IP3) concentration. Extending an existing ordinary differential equation (ODE) model of Ca2+ oscillations to two spatial dimensions, we develop a partial differential equation (PDE) model of Ca2+ excitability. The model assumes that cytosolic Ca2+ couples neighboring Ca2+ release sites. This simple PDE model qualitatively reproduces our experimental observations.

AB - Biological excitability enables the rapid transmission of physiological signals over distance. Using confocal fluorescence microscopy, we previously reported circular, planar, and spiral waves of Ca2+ in Xenopus laevis oocytes that annihilated one another upon collision. We present experimental evidence that the excitable process underlying wave propagation depends on Ca2+ diffusion and does not require oscillations in inositol (1,4,5)trisphosphate (IP3) concentration. Extending an existing ordinary differential equation (ODE) model of Ca2+ oscillations to two spatial dimensions, we develop a partial differential equation (PDE) model of Ca2+ excitability. The model assumes that cytosolic Ca2+ couples neighboring Ca2+ release sites. This simple PDE model qualitatively reproduces our experimental observations.

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JO - Biophysical Journal

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Two-dimensional model of calcium waves reproduces the patterns observed in Xenopus oocytes

Abstract

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