走向纳米几何？纳米尺度上的几何与动力学
Towards a Nano Geometry? Geometry and Dynamics on Nano Scale
摘要：
本文应用I.M. Gelfand在不同背景下充分和不充分使用数学语言之间的区别，以新打开的基于模型的细胞内动力学测量窗口。详细阐述了细胞生理学中尺度上的几何和动力学的细节-与熟悉的牛顿力学和最近的，但现在也相当完善的量子场论相反。给出了源自胰岛素分泌胰腺β-细胞的系统生物学和设想的磁性纳米颗粒的非侵入性控制的数学挑战的例子。
英文摘要：
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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