What Drives Calcium Oscillations in β-Cells? New Tasks for Cyclic Analysis

Fridlyand, Leonid E.; Philipson, Louis H.

doi:10.1007/978-1-4419-6956-9_21

BetaSys 2011

DOI: 10.1007/978-1-4419-6956-9_21

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What Drives Calcium Oscillations in β-Cells? New Tasks for Cyclic Analysis

Leonid E. Fridlyand

Louis H. Philipson

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2012

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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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Towards a nano geometry? Geometry and dynamics on nano scale

Booss-Bavnbek¹

2012

Contemporary Mathematics

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What Drives Calcium Oscillations in β-Cells? New Tasks for Cyclic Analysis

Cited by 1 publication

References 37 publications

Towards a nano geometry? Geometry and dynamics on nano scale

Towards a nano geometry? Geometry and dynamics on nano scale

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