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A dialysis system with one absorbing and one semi-reflecting state

Published online by Cambridge University Press:  14 July 2016

Marvin A. Kastenbaum
Marvin A. Kastenbaum*
Affiliation:
Oak Ridge National Laboratory, Oak Ridge, Tennessee
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Abstract

The random walk between an absorbing and a reflecting or semi-reflecting barrier has been discussed in the literature. Indeed, a biological example of such a random walk, arising from a system of countercurrent dialysis, was described by this author. In this earlier paper a technique was suggested for obtaining the probability of being in a specific state after a given number of transitions, if the probability is unity of being in the reflecting state at time zero. The present paper extends this technique to yield the full matrix of higher transition probabilities.

Type
Research Papers
Information
Journal of Applied Probability , Volume 3 , Issue 2 , December 1966 , pp. 365 - 374
Copyright
Copyright © Applied Probability Trust 

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References

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