Biomedical Engineering Reference
In-Depth Information
10
Multiscale modelling of hematologic disorders
Dmitry Fedosov, Igor Pivkin, Wenxiao Pan, Ming Dao, Bruce Caswell, and
George E. Karniadakis
Abstract. Parasitic infectious diseases and other hereditary hematologic disorders
are often associated with major changes in the shape and viscoelastic properties of
red blood cells (RBCs). Such changes can disrupt blood flow and even brain per-
fusion, as in the case of cerebral malaria. Modelling of these hematologic disorders
requires a seamless multiscale approach, where blood cells and blood flow in the en-
tire arterial tree are represented accurately using physiologically consistent param-
eters. In this chapter, we present a computational methodology based on dissipative
particle dynamics (DPD) which models RBCs as well as whole blood in health and
disease. DPD is a Lagrangian method that can be derived from systematic coarse-
graining of molecular dynamics but can scale efficiently up to small arteries and can
also be used to model RBCs down to spectrin level. To this end, we present two com-
Dmitry Fedosov
Forschungszentrum J ulich, 52425 J ulich, Germany
e-mail: d.fedosov@fz-juelich.de
Igor Pivkin
Massachusetts Institute of Technology, Cambridge, MA 02139, e-mail: piv@mit.edu, currently at
University of Lugano, Via Giuseppe Buffi 13, CH-6904, Lugano, Switzerland
e-mail: igor.pivkin@usi.ch
Wenxiao Pan
Pacific Northwest National Laboratory, Richland, WA 99352, USA
e-mail: Wenxiao.Pan@pnl.gov
Ming Dao
Massachusetts Institute of Technology, Cambridge, MA 02139, USA
e-mail: mingdao@mit.edu
Bruce Caswell
Brown University, Providence, RI 02912, USA
e-mail: caswell@dam.brown.edu
George E. Karniadakis ( )
Brown University, Providence, RI 02912, USA
e-mail: George Karniadakis@brown.edu
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