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.
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Garner, J.B., Crump, K.S. & Stephenson, J.L. Transient behaviour of the single loop solute cycling model of the renal medulla. Bltn Mathcal Biology 40, 273–300 (1978). https://doi.org/10.1007/BF02461602
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DOI: https://doi.org/10.1007/BF02461602