Towards a nano geometry? Geometry and dynamics on nano scale

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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.
OriginalsprogEngelsk
BogserieContemporary Mathematics
Vol/bind584
Sider (fra-til)147-162
Antal sider16
ISSN0271-4132
DOI
StatusUdgivet - 2012
BegivenhedAnalysis, geometry and quantum field theory. : International conference in honor of Steve Rosenberg's 60th birthday - University of Potsdam, Potsdam, Tyskland
Varighed: 26 sep. 201130 sep. 2011
https://www.amazon.com/Analysis-Geometry-Quantum-Field-Theory/dp/0821891448

Konference

KonferenceAnalysis, geometry and quantum field theory.
LokationUniversity of Potsdam
LandTyskland
ByPotsdam
Periode26/09/201130/09/2011
Internetadresse

Bibliografisk note

prepublished on arXiv

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