ON A DIALYSIS PROBLEM
Abstract
A molecular compound (Biometrika 47:69-77, 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 ij(n) that a particle which at time 0 is inside S i will at time n(after the n-th transfer has been performed) be inside S j. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1961
- Accession Number
- AD0261927
Entities
People
- J.h.b. Kemperman
Organizations
- University of Wisconsin–Madison