

Chapter 14
Diffusion Equation in
Spherical Coordinates
Extract: …



Figure 1b: The spherical coordinate system used in the analysis of
diffusion in three dimensions, where
a source or sink of protein mass Q_{s}, is created at the
cell centre. Simplified protein redistribution by
diffusion is illustrated in the text by two examples: the first by
solving at spherical grid points defined
on the radial vector r, assuming angular symmetry, i.e., no
variations in polar angle or azimuthal angle, and the second by solving at spherical grid points on
r and polar
angle grid points on, but assuming azimuthal angular symmetry, i.e., no variations in angle (image
reproduced from [1] with permission
of the authors). 
1.

Calvert, P. D., J. A. Peet,
A. Bragin, W. E. Schiesser and E. N. Pugh Jr., Fluorescence
Relaxation in 3D from Diffractionlimited Sources of PAGFP or Sinks of
EGFP Created by Multiphoton Photoconversion, Journal of Microscopy,
225, No. 1, January, 2007, pp. 4971. 


