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Transient behaviour of the single loop solute cycling model of the renal medulla (1978)

Garner, Jackie B. ; Crump, Kenny S. ; Stephenson, John L.

Springer

Bulletin of mathematical biology 40 (1978), S. 273-300

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ISSN: 1522-9602

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract Transient solutions are developed for the buildup of a concentration gradient in the single loop solute cycling model of the renal medulla. The “pump” from ascending limb to descending limb is considered in both unsaturated and completely saturated modes of operation. Both analytic solutions and semianalytic solutions obtained from inverting Laplace transforms are considered. The classic representation of concentration buildup by the multiplication process is compared with calculated profiles. The “single effect” is found to vary both in time and space.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02461602

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