Towards a Nano Geometry? Geometry and Dynamics on Nano Scale
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2012
- DOI:
- 10.48550/arXiv.1202.5115
- arXiv:
- arXiv:1202.5115
- Bibcode:
- 2012arXiv1202.5115B
- Keywords:
-
- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- Quantitative Biology - Subcellular Processes;
- Primary 92C37;
- Secondary 35R35;
- 53A55
- E-Print:
- 16 pages, 4 figures, Contribution to the Conference on "Geometry, Analysis and Quantum Field Theory", Potsdam, September 26-30, 2011