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    Deformation-Dependent Effective Vascular Permeability of a Biological Tissue Containing Parallel Microvessels

    Source: Journal of Applied Mechanics:;2024:;volume( 092 ):;issue: 001::page 14503-1
    Author:
    Jin, Zhihe
    DOI: 10.1115/1.4067208
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This study describes a micromechanics model for estimating the effective vascular permeability for a biological tissue containing parallel microvessels subjected to finite deformations. The representative volume element in the proposed model consists of a hollow cylinder with the inner radius being the microvessel radius and the outer radius determined using the volume fraction of the microvessels in the tissue. The effective vascular permeability is determined using the Poiseuille equation for the microvascular flow, Darcy's law for the homogenized porous tissue, and finite deformation of the tissue matrix modeled as a nonlinear elastic material. The numerical results show that the effective vascular permeability decreases with an increase in the applied pressure on the tissue. The effective permeability can be significantly larger than the reference permeability when the applied pressure is much smaller than the microvascular pressure. On the other hand, the effective permeability becomes less than 30% of the reference permeability when the applied pressure is greater than two times the microvascular pressure. Finally, the effective vascular permeability increases monotonically with an increasing ratio of the deformed volume to the reference volume of the tissue.
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      Deformation-Dependent Effective Vascular Permeability of a Biological Tissue Containing Parallel Microvessels

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    contributor authorJin, Zhihe
    date accessioned2025-04-21T10:12:28Z
    date available2025-04-21T10:12:28Z
    date copyright12/5/2024 12:00:00 AM
    date issued2024
    identifier issn0021-8936
    identifier otherjam_92_1_014503.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4305712
    description abstractThis study describes a micromechanics model for estimating the effective vascular permeability for a biological tissue containing parallel microvessels subjected to finite deformations. The representative volume element in the proposed model consists of a hollow cylinder with the inner radius being the microvessel radius and the outer radius determined using the volume fraction of the microvessels in the tissue. The effective vascular permeability is determined using the Poiseuille equation for the microvascular flow, Darcy's law for the homogenized porous tissue, and finite deformation of the tissue matrix modeled as a nonlinear elastic material. The numerical results show that the effective vascular permeability decreases with an increase in the applied pressure on the tissue. The effective permeability can be significantly larger than the reference permeability when the applied pressure is much smaller than the microvascular pressure. On the other hand, the effective permeability becomes less than 30% of the reference permeability when the applied pressure is greater than two times the microvascular pressure. Finally, the effective vascular permeability increases monotonically with an increasing ratio of the deformed volume to the reference volume of the tissue.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDeformation-Dependent Effective Vascular Permeability of a Biological Tissue Containing Parallel Microvessels
    typeJournal Paper
    journal volume92
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4067208
    journal fristpage14503-1
    journal lastpage14503-5
    page5
    treeJournal of Applied Mechanics:;2024:;volume( 092 ):;issue: 001
    contenttypeFulltext
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