The kinetics of solute clearance by a single tissue capillary of limited permeability: Explicit solutions of two models and their bounds

DOI10.1007/BF02460124zbMath0613.92012OpenAlexW2066780764WikidataQ52610299 ScholiaQ52610299MaRDI QIDQ1820084

Robert E. Gosselin, Richard P. Gosselin

Publication date: 1987

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460124

zbMATH Keywords

capillary blood flowinterstitial spacebounds on solute concentrationsclearance ratepermeability-surface area productstationary-state kinetics of solute clearance

Mathematics Subject Classification ID

Physiological flows (76Z05) Physiological, cellular and medical topics (92Cxx)

Related Items (2)

Approximate solution for capillary exchange models with and without axial mixing ⋮ Model of synthesis and release of insulin from rat islet \(\beta\)-cells and the effect of pretreatment with tolbutamide

Cites Work

• Partial differential equations. 3rd ed
• Mathematical modeling of the microcirculation
• The interaction of diffusion and perfusion in homogeneous tissue

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