title: Multiscale modeling and simulation of brain blood flow.
abstract: The aim of this work is to present an overview of recent advances in multi-scale modeling of brain blood flow. In particular, we present some approaches that enable thein silicostudy of multi-scale and multi-physics phenomena in the cerebral vasculature. We discuss the formulation of continuum and atomistic modeling approaches, present a consistent framework for their concurrent coupling, and list some of the challenges that one needs to overcome in achieving a seamless and scalable integration of heterogeneous numerical solvers. The effectiveness of the proposed framework is demonstrated in a realistic case involving modeling the thrombus formation process taking place on the wall of a patient-specific cerebral aneurysm. This highlights the ability of multi-scale algorithms to resolve important biophysical processes that span several spatial and temporal scales, potentially yielding new insight into the key aspects of brain blood flow in health and disease. Finally, we discuss open questions in multi-scale modeling and emerging topics of future research.
authors.affiliation: Department of Mechanical Engineering, Massachusetts Institute of Technology , Cambridge, Massachusetts 02139, USA.
authors.forename: Paris
authors.initials: P
authors.lastname: Perdikaris
authors.affiliation: IBM T.J Watson Research Center , 1 Rogers St, Cambridge, Massachusetts 02142, USA.
authors.forename: Leopold
authors.initials: L
authors.lastname: Grinberg
authors.affiliation: Division of Applied Mathematics, Brown University , Providence, Rhode Island 02912, USA.
authors.forename: George Em
authors.initials: GE
authors.lastname: Karniadakis