TY - JOUR

T1 - On steady-state intercompartmental flows

AU - Levin, Simon A.

AU - Dantzig, George B.

AU - Bigelow, James

N1 - Funding Information:
This research has been partially supported by National Science Foundation Fellowship 44162
Funding Information:
and the National Institutes of Health under Grant GM-9606 with the University of California. Reproduction in whole or in part is permitted for any purpose of the United States Government.

PY - 1967/4

Y1 - 1967/4

N2 - The flow between compartments in physical and biological systems is treated as a special case of a more general theory of transitions between any two distinct sets A, Ā. Interest is focused on the flow rate from each set, i.e., the rate at which elements from that set appear in the other; and on the entry rate from each, i.e., the rate at which elements from the set leave to enter the region not part of either set. In particular, the two flow rates are completely determined by means of explicit expressions for their ratio (Theorem I) and difference (Theorem II) in terms of the two entry rates. An application to biological transport problems extends a result of Dantzig and Pace (1) by demonstrating that for a system of channels each narrow enough to effect a "lining-up" of particles, countergradient flows may result, i.e., flows for which the flow rate is greatest from the compartment with the smallest entry rate.

AB - The flow between compartments in physical and biological systems is treated as a special case of a more general theory of transitions between any two distinct sets A, Ā. Interest is focused on the flow rate from each set, i.e., the rate at which elements from that set appear in the other; and on the entry rate from each, i.e., the rate at which elements from the set leave to enter the region not part of either set. In particular, the two flow rates are completely determined by means of explicit expressions for their ratio (Theorem I) and difference (Theorem II) in terms of the two entry rates. An application to biological transport problems extends a result of Dantzig and Pace (1) by demonstrating that for a system of channels each narrow enough to effect a "lining-up" of particles, countergradient flows may result, i.e., flows for which the flow rate is greatest from the compartment with the smallest entry rate.

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U2 - 10.1016/0021-9797(67)90203-2

DO - 10.1016/0021-9797(67)90203-2

M3 - Article

C2 - 6042046

AN - SCOPUS:0014072585

VL - 23

SP - 572

EP - 576

JO - Journal of Colloid and Interface Science

JF - Journal of Colloid and Interface Science

SN - 0021-9797

IS - 4

ER -