Parameterisation of multi-scale continuum perfusion models from discrete vascular networks.
Experimental data and advanced imaging techniques are increasingly enabling the extraction of detailed vascular anatomy from biological tissues. Incorporation of anatomical data within perfusion models is non-trivial, due to heterogeneous vessel density and disparate radii scales. Furthermore, previ...
| Publicado en: | Medical & Biological Engineering & Computing Vol. 51; no. 5; pp. 557 - 571 |
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| Autores principales: | , , , , , , |
| Formato: | research Journal Article |
| Publicado: |
Springer Nature
May2013
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=109855813&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 109855813 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 01400118 PO0 jtl: Medical & Biological Engineering & Computing issn: 01400118 maglogo: N pubinfo: dt: May2013 vid: 51 iid: 5 pid: 237 pub: Springer Nature place: New York, New York artinfo: ui: 109855813 NLM23345008 2012084103 10.1007/s11517-012-1025-2 NLM23345008 PMC3627025 109855813 ppf: 557 ppct: 14 formats: fmt: @attributes: type: P tig: atl: Parameterisation of multi-scale continuum perfusion models from discrete vascular networks. aug: au: Hyde, Eoin R Michler, Christian Lee, Jack Cookson, Andrew N Chabiniok, Radek Nordsletten, David A Smith, Nicolas P affil: Department of Computer Science, University of Oxford, Oxford, OX1 3QD, UK. sug: subj: Blood Circulation Physiology Blood Vessels Anatomy and Histology Models, Biological Algorithms Animal Studies Blood Pressure Physiology Capillary Permeability Physiology Human Rats ab: Experimental data and advanced imaging techniques are increasingly enabling the extraction of detailed vascular anatomy from biological tissues. Incorporation of anatomical data within perfusion models is non-trivial, due to heterogeneous vessel density and disparate radii scales. Furthermore, previous idealised networks have assumed a spatially repeating motif or periodic canonical cell, thereby allowing for a flow solution via homogenisation. However, such periodicity is not observed throughout anatomical networks. In this study, we apply various spatial averaging methods to discrete vascular geometries in order to parameterise a continuum model of perfusion. Specifically, a multi-compartment Darcy model was used to provide vascular scale separation for the fluid flow. Permeability tensor fields were derived from both synthetic and anatomically realistic networks using (1) porosity-scaled isotropic, (2) Huyghe and Van Campen, and (3) projected-PCA methods. The Darcy pressure fields were compared via a root-mean-square error metric to an averaged Poiseuille pressure solution over the same domain. The method of Huyghe and Van Campen performed better than the other two methods in all simulations, even for relatively coarse networks. Furthermore, inter-compartment volumetric flux fields, determined using the spatially averaged discrete flux per unit pressure difference, were shown to be accurate across a range of pressure boundary conditions. This work justifies the application of continuum flow models to characterise perfusion resulting from flow in an underlying vascular network. pubtype: Academic Journal doctype: research Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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