  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
