Re-evaluating the use of Voronoi tessellations in the assessment of oxygen supply from capillaries in muscle

DOI10.1007/S11538-012-9753-XzbMath1256.92022OpenAlexW2103206817WikidataQ51340596 ScholiaQ51340596MaRDI QIDQ692494

S. Egginton, Abdullah A. Al-Shammari, Eamonn A. Gaffney

Publication date: 6 December 2012

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:6dac64ae-d273-47db-8ab8-aa6882d6421b

zbMATH Keywords

oxygen transportcapillary supplyflux trapping regions

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Physiology (general) (92C30)

Related Items (1)

Modelling capillary oxygen supply capacity in mixed muscles: capillary domains revisited

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Mathematical modeling of the microcirculation
• Mathematical analysis of oxygen concentration in a two dimensional array of capillaries
• A computational model of hemodynamic parameters in cortical capillary networks
• Calculation of oxygen pressures in tissue with anisotropic capillary orientation. I: Two-dimensional analytical solution for arbitrary capillary characteristics
• Concentration of oxygen around capillaries in polygonal regions of supply
• Calculations of intracapillary oxygen tension distributions in muscle
• Capillary supply regions

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