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Differential geometry and the red blood cell
Author(s) -
Vayo Westcott
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700108
Subject(s) - parametric statistics , polar coordinate system , differential (mechanical device) , mathematics , geometry , elliptic function , differential equation , mathematical analysis , physics , thermodynamics , statistics
The usual mathematical expressions for the shape of the red blood cell, whether in rectangular or polar coordinates, are very complicated and difficult to use analytically. We have found that by using parametric equations and Jacobean elliptic functions to describe the cell things are much easier. The usual differential geometric concepts can be adapted to find interesting new formulas for ideas like Fick's Law, etc. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)