# Accession Number:

## AD0261927

# Title:

## ON A DIALYSIS PROBLEM

# Descriptive Note:

# Corporate Author:

## WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1961-06-01

# Pagination or Media Count:

## 1.0

# Abstract:

A molecular compound Biometrika 4769-77, 1960 is considered involving c-1 dialysis sacs S 1,..., S c-1 each suspended in a separate bath and a container S c. It is assumed that a molecule which at time n - 1 n 1,2,... is inside S i i 1,...,c - 1 will through dialysis be outside S i at time n with a probability 1 - p, p fixed, 0 P 1. At the end of the time interval n - 1,n one transfers the fluid on the inside of S i i 2,...,c - 1 to the inside of A D H FLUID ON THE OUTSIDE OF S i i 1,...,c - 1 to the inside of S i 1 the fluid already in S 1 or S c remains there. The conditional probability q ijn that a particle which at time 0 is inside S i will at time nafter the n-th transfer has been performed be inside S j. Author