An Asymptotic Study of Oxygen Transport from Multiple Capillaries to Skeletal Muscle Tissue

DOI10.1137/S0036139998343356zbMath0990.92009MaRDI QIDQ4507259

Michèle S. Titcombe, Michael J. Ward

Publication date: 18 October 2000

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Green's functioncapillarieslogarithmic expansionsoxygenation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30)

Related Items (6)

A geometrical model of dermal capillary clearance ⋮ Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain ⋮ A model for fluid drainage by the lymphatic system ⋮ A mathematical method for determining oxygen distribution in skeletal muscle with multiple capillaries and axial diffusion ⋮ Perturbation of eigenvalues due to gaps in two-dimensional boundaries ⋮ Asymptotic analysis of first passage time problems inspired by ecology

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