Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation

Ju，Guoliang1; Cai，Mingchao2; Li，Jingzhi3; Tian，Jing4

2020-11-01

10.1016/j.matcom.2020.04.027

MATHEMATICS AND COMPUTERS IN SIMULATION   影响因子和分区

0378-4754

1872-7166

In this paper, we develop parameter-robust numerical algorithms for Biot model and apply the algorithms in brain edema simulations. By introducing an intermediate variable, we derive a multiphysics reformulation of the Biot model. Based on the reformulation, the Biot model is viewed as a generalized Stokes subproblem combining with a reaction–diffusion subproblem. Solving the two subproblems together or separately leads to a coupled or a decoupled algorithm. We conduct extensive numerical experiments to show that the two algorithms are robust with respect to the key physical parameters. The algorithms are applied to study the brain swelling caused by abnormal accumulation of cerebrospinal fluid in injured areas. The effects of the key physical parameters on brain swelling are carefully investigated. It is observed that the permeability has the biggest influence on intracranial pressure (ICP) and tissue deformation; the Young's modulus and the Poisson ratio do not affect the maximum value of ICP too much but have big influence on the tissue deformation and the developing speed of brain swelling.

Biot equations Brain edema Poroelasticity

SCI ; EI

英语

其他

NSF of China[11571161][11731006] ; Shenzhen Sci-Tech Fund[JCYJ20160530184212170][JCYJ20170818153840322] ; NIH BUILD grant (ASCEND pilot project)[UL1GM118973] ; NSF HBCU-UP Research Initiation Award[HRD1700328] ; NSF HBCU-UP Excellence in Research Award[DMS1831950]

Computer Science ; Mathematics

Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied

WOS:000540455100024

ELSEVIER

20202108684375

Tissue ; Deformation ; Multiphysics ; Elastic moduli ; Parameter estimation

Biological Materials and Tissue Engineering:461.2 ; Materials Science:951

ENGINEERING

2-s2.0-85084814348

Scopus

1.School of Mechatronics Engineering,Harbin Institute of Technology,Harbin,Heilongjiang,150001,China
2.Department of Mathematics,Morgan State University,Baltimore,21251,United States
3.Department of Mathematics,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China
4.Department of Mathematics,Towson University,Towson,21252,United States

Ju，Guoliang,Cai，Mingchao,Li，Jingzhi,et al. Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2020,177:385-403.

Ju，Guoliang,Cai，Mingchao,Li，Jingzhi,&Tian，Jing.(2020).Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation.MATHEMATICS AND COMPUTERS IN SIMULATION,177,385-403.

Ju，Guoliang,et al."Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation".MATHEMATICS AND COMPUTERS IN SIMULATION 177(2020):385-403.