Diffusion at finite speed and random walks.
Diffusion, which occurs with infinite speed, results from a random walk with steps of finite speed. We resolve this paradox and derive a modified diffusion equation with finite speed.
Journal Article↗
Biomedical subjects
Joseph B Keller
Publications and source records attributed to Joseph B Keller.
Mortality rate versus age.
A theory of the variation of mortality rate with age is presented. It leads to the logistic law, which levels off at old ages.
Aging↗
Light propagation in biological tissue.
Biological tissue scatters light mainly in the forward direction where the scattering phase function has a narrow peak. This peak makes it difficult to solve the radiative transport equation. However, it is just for forward-peaked scattering that the Fokker-Planck equation provides a good approximation, and it is easier to solve than the transport equation. Furthermore, the modification of the Fokker-Planck equation by Leakeas and Larsen provides an even better approximation and is also easier to solve. We demonstrate the accuracy of these two approximations by solving the problem of reflection and transmission of a plane wave normally incident on a slab composed of a uniform scattering medium.
Biological Phenomena↗