Computational simulations have the potential to assist in liver resection surgeries by facilitating surgical planning, optimizing resection strategies, and predicting postoperative outcomes. The modeling 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 modeling 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 modeling 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

翻译：计算模拟有望通过促进手术规划、优化切除策略及预测术后结果，为肝脏切除手术提供支持。由于器官复杂多尺度血管化系统中力学响应与灌注的多物理场耦合，跨长度尺度的肝组织建模构成重大挑战。本文提出一种建模框架，通过连接连续孔隙弹性力学与离散血管树结构，实现对灌注层级中不同尺度肝组织的模拟。该连接通过系列建模决策实现，包括在压力方程中引入源项以模拟供给树的流入、通过压力边界条件模拟引流树的流出，以及通过接触条件模拟周围组织。我们研究了该框架的数值特性，并将其应用于患者特异性全尺寸肝脏问题，展示了其在评估肝脏手术切除方案方面的潜力。