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A Hydrodynamic Approach To Cancer

Alexander Pinkowski, Walter Lilienblum
doi: https://doi.org/10.1101/014696
Alexander Pinkowski
1University of Karslruhe, Germany
Roles: researcher retired
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  • For correspondence: alexanderpinkowski51@gmail.com
Walter Lilienblum
2University of Magdeburg, Germany
Roles: emeritus Professor
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  • For correspondence: walt.lil@web.de
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Abstract

This is the pre-print version of a paper submitted to Technische Mechanik (ISSN 0232-3869)

  • List of abbreviations in tables 1 and 2 resp.

    dh/dc
    = ratio of diameters in healthy (h) and cancer infected (c) vessels,
    ζ
    =pressure drop coefficient acc. to /28/
    ε
    =hematocrit
    ρ͂
    =mean blood density
    XLM
    = Lockhart-Martinell (LM) factor
    Φtt
    = corrected LM factor for turbulent flow in both phases
    Φll
    = corrected LM factor for laminar flow in both phases
    d
    = diameter of blood vessels
    v□h
    = mean blood flow velocity in healthy vessels
    γ̇h
    = shear rate in healthy vessels
    ηrep,h
    = representative viscosity in healthy vessels
    Reh
    = Reynolds number in healthy vessels
    λh
    = friction factor in healthy vessels
    τw,h
    = wall shear stress in healthy vessels
    v□c
    = mean blood flow velocity in cancer infected vessels
    l
    = tube length
    γ̇c
    = shear rate in cancer infected vessels
    ηrep,c
    = representative viscosity in cancer infected vessels
    Φ
    = corrected acc. to (17) Lockhart-Martinelli factor
    λt / λl
    = attenuation factor = ratio of friction factors for turbulent (t) and laminar (l) flows resp.
  • Copyright 
    The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC-ND 4.0 International license.
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    Posted February 03, 2015.
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    A Hydrodynamic Approach To Cancer
    Alexander Pinkowski, Walter Lilienblum
    bioRxiv 014696; doi: https://doi.org/10.1101/014696
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    A Hydrodynamic Approach To Cancer
    Alexander Pinkowski, Walter Lilienblum
    bioRxiv 014696; doi: https://doi.org/10.1101/014696

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