Mathematical modeling of the microcirculation
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Publication:1247932
DOI10.1016/0025-5564(78)90044-5zbMath0381.92003OpenAlexW2077084145MaRDI QIDQ1247932
Publication date: 1978
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0025-5564(78)90044-5
Related Items (23)
A numerical study of the nonsteady transport of gases in the pulmonary capillaries ⋮ Stability analysis of a coupled diffusion-transport system for oxygen transport in blood and tissue ⋮ Approximate solution for capillary exchange models with and without axial mixing ⋮ An analytical model for oxygen transport in tissue capillaries in a hyperbaric environment with first order metabolic consumption ⋮ Mathematical modeling of blood flow alteration in microcirculatory network due to angiogenesis ⋮ A two-layer model for studying the effect of plasma layer on the delivery of oxygen to tissue using a finite element method ⋮ A model for substrate concentrations in tissue surrounding single capillaries ⋮ Substrate concentrations in tissue surrounding single capillaries ⋮ Mathematical modelling of oxygen transport near a tissue surface: Effect of the surface \(PO_ 2\). ⋮ Mathematical modeling of oxygen transport in skeletal muscle ⋮ Boundary value problems in microcirculatory physiology ⋮ Re-evaluating the use of Voronoi tessellations in the assessment of oxygen supply from capillaries in muscle ⋮ Computational modeling of tumor response to vascular-targeting therapies. I: Validation ⋮ A mathematical method for determining oxygen distribution in skeletal muscle with multiple capillaries and axial diffusion ⋮ Model of synthesis and release of insulin from rat islet \(\beta\)-cells and the effect of pretreatment with tolbutamide ⋮ Existence and uniqueness of solutions of quasilinear transmission problems of both elliptic and pseudoparabolic type simulating oxygen transport in capillary and tissue ⋮ Capillary supply regions ⋮ Mathematical model of erythrocytes as point-like sources ⋮ The kinetics of solute clearance by a single tissue capillary of limited permeability: Explicit solutions of two models and their bounds ⋮ On the computation of substrate levels in perfused tissues ⋮ The development of anoxia following occlusion ⋮ The physiological role of myoglobin: More than a problem in reaction- diffusion kinetics ⋮ Parameter estimation in underdetermined problems
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