Stochastic Analysis of Transport Phenomena in Heterogenous Tissue
In the classical analysis of mass transport phenomena, several basic assumptions must be made before the mechanics of the transport analysis can be implemented. The first is that the medium through which the mass is being transported is homogenous. Second is that the particle displacements in space from a given point are normally distributed. The third assumption is that each molecule or “particle” moves independently of all the other particles and has zero volume and mass. These conditions allow the formulation of the Green’s function (which is used in the solution of the mass transport equation) for the respective geometry and boundary conditions. The last basic assumption is that the classical transport process is Markov. This means that the events which occur at some future time depend only upon the present state of the system, and not on the past.
KeywordsBrownian Motion Peclet Number Heterogenous Medium Stochastic Analysis Density Distribution Function
Unable to display preview. Download preview PDF.
- Busch, N. A., 1984, “Stochastic Analysis of Transport Phenomena in Heterogenous Media”, Ph.D. Dissertation (unpublished), Louisiana Tech University, Ruston, Lou is iana.Google Scholar
- Einstein, A., 1926, “On the Theory of Brownian Motion”, Methuen and Co., London.Google Scholar
- Uhlenbeck, G. E., and M. C. Wang, 1945, On the Theory of Brownian Motion, Reviews of Modern Physics, 17:322–342.Google Scholar