Stochastic Analysis of Transport Phenomena in Heterogenous Tissue

  • Nathan A. Busch
  • Duane F. Bruley
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 191)


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.


Brownian Motion Peclet Number Heterogenous Medium Stochastic Analysis Density Distribution Function 
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Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • Nathan A. Busch
    • 1
  • Duane F. Bruley
    • 2
  1. 1.University of BristolBristolUK
  2. 2.California PolytechnicSan Luis ObispoUSA

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