Simulation of waves in calcium models with 3D spherical geometry

Waves of calcium ions are present in fertilized eggs of many species. Models for pulse and tidal wave propagation have usually been studied in one or two spatial coordinates only. We examine in three spatial coordinates some established models, based on Ca 2+-induced Ca 2+-release from both (assumed...

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Bibliographic Details
Published in:Mathematical biosciences 2003-03, Vol.182 (1), p.45-66
Main Authors: Hunding, Axel, Ipsen, Mads
Format: Article
Language:English
Subjects:
Animals
Biological and medical sciences
Calcium - physiology
Calcium Channels - physiology
Calcium waves
Chemical waves
Computer Simulation
Endoplasmic Reticulum - physiology
Inositol Phosphates - physiology
Medical sciences
Models, Biological
Non-linear dynamical systems
Zygote - physiology
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Summary:Waves of calcium ions are present in fertilized eggs of many species. Models for pulse and tidal wave propagation have usually been studied in one or two spatial coordinates only. We examine in three spatial coordinates some established models, based on Ca 2+-induced Ca 2+-release from both (assumed) continuously or heterogeneously distributed stores of endoplasmic reticulum (ER) through channels activated by inositol triphosphate (IP 3). With continuous IP 3 distribution decreasing radially towards the interior, we obtain concave pulse shapes for waves penetrating the interior. Concave waves are also recorded in systems with ER confined to distributions of small spheres (microdomains) inside the cell, which we simulate for front waves (tides) in bistable systems.
ISSN:0025-5564
1879-3134
DOI:10.1016/S0025-5564(02)00179-7