Variational calculus is used to derive an equation for the shape of the cross section of a human red blood cell, the objective being the maximization of the surface area/volume ratio. Comparison to previous work is presented.
(A note on)2 the shape of the erythrocyte
โ Scribed by J. Adam
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 317 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
note on the shape of the red blood cell is revisited, utilizing variational calculus to to find an extremum for the surface area of such a cell, using the volume as a constraint. A fairly significant error in the value of the volume is corrected, and the note concludes with a discussion of measures of cell shape (such es the sphericity index) which are more appropriate than the dimensional surface area to volume ratio.
๐ SIMILAR VOLUMES
The creep zone boundary has been somewhat arbitrarily defined by Riedel [1,2] as, by equating the equivalent creep strain to the equivalent elastic strain, c"=e o~ ! So the creep zone boundary r (0, t) can be approximated by using the HRR-creep strain field. This leads to