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The interaction of diffusion and perfusion in homogeneous tissue

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Publication:1846815
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DOI10.1007/BF02463263zbMath0288.92006OpenAlexW4237446352WikidataQ52892909 ScholiaQ52892909MaRDI QIDQ1846815

T. R. Hennessy

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1007/bf02463263


Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) General biology and biomathematics (92B05)


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



Cites Work

  • The special functions and their approximations. Vol. I, II
  • Concentration of oxygen around capillaries in polygonal regions of supply
  • Diffusion exchange between a membrane-bounded sphere and its surrounding
  • A New Numerical Method for the Inversion of the Laplace Transform
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