Geometric and Electromagnetic Aspects of Fusion Pore Making

Details Geometric and Electromagnetic Aspects of Fusion Pore Making Geometric and Electromagnetic Aspects of Fusion Pore Making

2009-12-18

arxiv.org/abs/0912.3738v2

Systems Biology 2 (2011), pp. 505-538

Mathematics

Analysis of PDEs

To appear as the closing chapter in a monograph "BetaSys - Systems Biology of Regulated Exocytosis in Pancreatic Beta-Cells",

Scientific paper

10.1007/978-1-4419-6956-9_23

For regulated exocytosis, we model the morphology and dynamics of the making of the fusion pore or porosome as a cup-shaped lipoprotein structure (a dimple or pit) on the cytosol side of the plasma membrane. We describe the forming of the dimple by a free boundary problem. We discuss the various forces acting and analyze the magnetic character of the wandering electromagnetic field wave produced by intracellular spatially distributed pulsating (and well observed) release and binding of calcium ions anteceding the bilayer membrane vesicle fusion of exocytosis. Our approach explains the energy efficiency of the observed dimple forming prior to hemifusion and fusion pore, and the observed flickering in secretion. It provides a frame to relate characteristic time length of exocytosis to the frequency, amplitude and direction of propagation of the underlying electromagnetic field wave.

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