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Digitale Medien

Analysis of the transient behavior of kidney models (1978)

Stephenson, John L.

Springer

Bulletin of mathematical biology 40 (1978), S. 211-221

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ISSN: 1522-9602

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: Abstract Non-steady-state equations for kidney models are stated. General conservation relations for these equations are derived. Transient equations for the central core model of the renal medulla are developed. Solution of the equations by Laplace transform methods for time invariant volume flows is discussed. The general theory of solving models with time dependent flows by finite difference methods is developed.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02461436

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Digitale Medien

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

Quelle: Springer Online Journal Archives 1860-2000

Thema: Biologie , Mathematik

Notizen: 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.

Materialart: Digitale Medien

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

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