Connecting continuum poroelasticity with discrete synthetic vascular trees for modelling liver tissue

IF 2.9 3区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2024-03-06 DOI:10.1098/rspa.2023.0421
Adnan Ebrahem, Etienne Jessen, Marco F. P. ten Eikelder, Tarun Gangwar, Michał Mika, Dominik Schillinger
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Abstract

The modelling of liver tissue across multiple length scales constitutes a significant challenge, primarily due to the multiphysics coupling of mechanical response and perfusion within the complex multiscale vascularization of the organ. In this paper, we present a modelling framework that connects continuum poroelasticity and discrete vascular tree structures to model liver tissue across disparate levels of the perfusion hierarchy. The connection is achieved through a series of modelling decisions, which include source terms in the pressure equation to model inflow from the supplying tree, pressure boundary conditions to model outflow into the draining tree, and contact conditions to model surrounding tissue. We investigate the numerical behaviour of our framework and apply it to a patient-specific full-scale liver problem that demonstrates its potential to help assess surgical liver resection procedures.

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连接连续气孔弹性与离散合成血管树以模拟肝脏组织
对肝脏组织进行多长度尺度建模是一项重大挑战,这主要是由于在器官复杂的多尺度血管中,机械响应和灌注存在多物理耦合。在本文中,我们提出了一个建模框架,该框架将连续气孔弹性和离散血管树结构连接起来,为肝脏组织建立了一个跨越不同灌注层次的模型。这种连接是通过一系列建模决策实现的,其中包括压力方程中的源项,以模拟来自供应树的流入;压力边界条件,以模拟流入排水树的流出;以及接触条件,以模拟周围组织。我们对框架的数值行为进行了研究,并将其应用于针对特定患者的全尺寸肝脏问题,以展示其帮助评估外科肝脏切除手术的潜力。
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来源期刊
CiteScore
6.40
自引率
5.70%
发文量
227
审稿时长
3.0 months
期刊介绍: Proceedings A has an illustrious history of publishing pioneering and influential research articles across the entire range of the physical and mathematical sciences. These have included Maxwell"s electromagnetic theory, the Braggs" first account of X-ray crystallography, Dirac"s relativistic theory of the electron, and Watson and Crick"s detailed description of the structure of DNA.
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