Whole-Body and Cellular Models of Glucose-Stimulated Insulin Secretion

Toffolo, Gianna; Pedersen, Morten Gram; Cobelli, Claudio

doi:10.1007/978-1-4419-6956-9_22

Cited by 2 publications

(1 citation statement)

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“…By falsification, we mean the use of simple arithmetic or other more advanced mathematical means to check and falsify common belief (like Harvey's mathematical microscope, see Ottesen [1], or the harmonic analysis of Ca 2+ oscillations in Fridlyand and Philipson [20]). By extrapolation we mean the packing of established phenomenology into a precise, intentionally simplified mathematical frame work admitting series of computer simulations or analytical estimates to investigate the rôle of selected parameters (like the Silicon Cell, see Westerhoff et al [2], the mesoscopic simulation of membrane-associated processes, see Shillcock [3]), or the compartment models for different pools of insulin granules in exocytosis preparations, see Toffolo, Pedersen, and Cobelli [4]).…”

Section: On Our Heuristic (Suggestive) Use Of Mathematical Modelingmentioning

confidence: 99%

Geometric and Electromagnetic Aspects of Fusion Pore Making

Apushkinskaya

Apushkinsky

Booss-Bavnbek

et al. 2011

BetaSys

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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.Comment: To appear as the closing chapter in a monograph "BetaSys - Systems Biology of Regulated Exocytosis in Pancreatic Beta-Cells", Vol. 4 of the Springer-Verlag Series in Systems Biolog

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Section: On Our Heuristic (Suggestive) Use Of Mathematical Modelingmentioning

confidence: 99%

Geometric and Electromagnetic Aspects of Fusion Pore Making

Apushkinskaya

Apushkinsky

Booss-Bavnbek

et al. 2011

BetaSys

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Towards a nano geometry? Geometry and dynamics on nano scale

Booss-Bavnbek¹

2012

Contemporary Mathematics

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Dedicated to Steven Rosenberg on his 60th birthday.Abstract. This paper applies I.M. Gelfand's distinction between adequate and non-adequate use of mathematical language in different contexts to the newly opened window of model-based measurements of intracellular dynamics. The specifics of geometry and dynamics on the mesoscale of cell physiology are elaborated -in contrast to the familiar Newtonian mechanics and the more recent, but by now also rather well established quantum field theories. Examples are given originating from the systems biology of insulin secreting pancreatic beta-cells and the mathematical challenges of an envisioned non-invasive control of magnetic nanoparticles.

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Whole-Body and Cellular Models of Glucose-Stimulated Insulin Secretion

Cited by 2 publications

References 41 publications

Geometric and Electromagnetic Aspects of Fusion Pore Making

Geometric and Electromagnetic Aspects of Fusion Pore Making

Towards a nano geometry? Geometry and dynamics on nano scale

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