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BetaSys pp 505-538 | Cite as

Geometric and Electromagnetic Aspects of Fusion Pore Making

  • Darya Apushkinskaya
  • Evgeny Apushkinsky
  • Bernhelm Booß-BavnbekEmail author
  • Martin Koch
Chapter
Part of the Systems Biology book series (SYSTBIOL, volume 2)

Abstract

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 formation of the dimple by a free boundary problem. We discuss the various forces acting and analyse the magnetic character of the wandering electromagnetic field wave produced by intracellular spatially distributed pulsating (and well-observed) release and binding of Ca2+ ions anteceding the bilayer membrane vesicle fusion of exocytosis. Our approach explains the energy efficiency of the dimple formation 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. We sketch a comprehensive experimental programme to verify – or falsify – our mathematical and physical assumptions and conclusions where conclusive evidence still is missing for pancreatic β-cells.

Keywords

Calcium oscillations Dimple formation Free boundary problems Fusion pore Lorentz force Maxwell equations Pancreatic β-cell Plasma membrane Regulated exocytosis 

Notes

Acknowledgments

The first author was partially supported by the Russian Foundation for Basic Research (grant no. 09-01-00729). The third author acknowledges the support by the Danish network Modeling, Estimation and Control of Biotechnological Systems (MECOBS). We four thank the referees for their thoughtful comments to and harsh criticism of a first draft and F. Pociot and J. Størling for their corrections and helpful suggestions which led to many improvements. Referees and colleagues went clearly beyond the call of duty, and we are indebted to them.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Darya Apushkinskaya
    • 1
  • Evgeny Apushkinsky
    • 2
  • Bernhelm Booß-Bavnbek
    • 3
    Email author
  • Martin Koch
    • 4
  1. 1.Department of MathematicsSaarland UniversitySaarbrückenGermany
  2. 2.Experimental Physics DepartmentSt. Petersburg State Polytechnical UniversitySt. PetersburgRussia
  3. 3.Department of Science, Systems and Models/IMFUFARoskilde UniversityRoskildeDenmark
  4. 4.Feldkraft Ltd.CopenhagenDenmark

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