Towards a nano geometry?

Geometry and dynamics on nano scale

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

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

Bibliografisk note

prepublished on arXiv

Citer dette

@article{ffe3a53c5993453b979eac0fa54a1985,
title = "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.",
author = "Bernhelm Booss-Bavnbek",
note = "prepublished on arXiv",
year = "2012",
doi = "10.1090/conm/584/11600",
language = "English",
volume = "584",
pages = "147--162",
journal = "Contemporary Mathematics",
issn = "0271-4132",
publisher = "American Mathematical Society",

}

Towards a nano geometry? Geometry and dynamics on nano scale. / Booss-Bavnbek, Bernhelm.

I: Contemporary Mathematics, Bind 584, 2012, s. 147-162.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Towards a nano geometry?

T2 - Geometry and dynamics on nano scale

AU - Booss-Bavnbek, Bernhelm

N1 - prepublished on arXiv

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

U2 - 10.1090/conm/584/11600

DO - 10.1090/conm/584/11600

M3 - Journal article

VL - 584

SP - 147

EP - 162

JO - Contemporary Mathematics

JF - Contemporary Mathematics

SN - 0271-4132

ER -