Towards a Nano Geometry? Geometry and Dynamics on Nano Scale
Abstract
This paper applies I.M. Gelfand's distinction between adequate and nonadequate use of mathematical language in different contexts to the newly opened window of modelbased 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 betacells and the mathematical challenges of an envisioned noninvasive control of magnetic nanoparticles.
 Publication:

arXiv eprints
 Pub Date:
 February 2012
 arXiv:
 arXiv:1202.5115
 Bibcode:
 2012arXiv1202.5115B
 Keywords:

 Mathematical Physics;
 Mathematics  Analysis of PDEs;
 Quantitative Biology  Subcellular Processes;
 Primary 92C37;
 Secondary 35R35;
 53A55
 EPrint:
 16 pages, 4 figures, Contribution to the Conference on "Geometry, Analysis and Quantum Field Theory", Potsdam, September 2630, 2011