Simulating Mechanism of Brain Injury During Closed Head Impact

In this paper, we study the mechanics of the brain during closed head impact via numerical simulation. We propose a mathematical model of the human head, which consists of three layers: the rigid skull, the cerebrospinal fluid and the solid brain. The fluid behavior is governed by the Navier-Stokes equations, and the fluid and solid interact together according to the laws of mechanics. Numerical simulations are then performed on this model to simulate accident scenarios. Several theories have been proposed to explain whether the ensuing brain injury is dominantly located at the site of impact (coup injury) or at the site opposite to it (contrecoup injury). In particular, we investigate the positive pressure theory, the negative pressure theory, and the cerebrospinal fluid theory. The results of our numerical simulations together with pathological findings show that no one theory can explain the mechanics of the brain during the different types of accidents. We therefore highlight the accident scenarios under which each theory presents a consistent explanation of brain mechanics.

[1]  T. N. Stevenson,et al.  Fluid Mechanics , 2021, Nature.

[2]  A. E. Engin,et al.  The axisymmetric response of a fluid-filled spherical shell to a local radial impulse--a model for head injury. , 1969, Journal of biomechanics.

[3]  Marko Subasic,et al.  Level Set Methods and Fast Marching Methods , 2003 .

[4]  J. Minckler Pathology of the nervous system , 1968 .

[5]  W. E. Drew,et al.  The contrecoup-coup phenomenon , 2004, Neurocritical care.

[6]  E. S. Gurdjian,et al.  Cerebral contusions: re-evaluation of the mechanism of their development. , 1976, The Journal of trauma.

[7]  W. Goldsmith,et al.  Impact on a simple physical model of the head. , 1973, Journal of biomechanics.

[8]  J. Sethian,et al.  FRONTS PROPAGATING WITH CURVATURE DEPENDENT SPEED: ALGORITHMS BASED ON HAMILTON-JACOB1 FORMULATIONS , 2003 .

[9]  M. F. Tomé,et al.  GENSMAC: a computational marker and cell method for free surface flows in general domains , 1994 .

[10]  A. Ward,et al.  Experimental cerebral concussion. , 1953, Journal of neurosurgery.

[11]  A. G. Gross,et al.  A new theory on the dynamics of brain concussion and brain injury. , 1958, Journal of neurosurgery.

[12]  J. Griffin,et al.  Textbook of Medical Physiology 4th Ed , 1971 .

[13]  B. Sebek,et al.  The contrecoup phenomenon. Reappraisal of a classic problem. , 1980, Human pathology.

[14]  W. Russell Cerebral involvement in head injury : a study based on the examination of two hundred cases , 1932 .

[15]  R LINDENBERG,et al.  The mechanism of cerebral contusions. A pathologic-anatomic study. , 1960, Archives of pathology.

[16]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[17]  M. C. Lee,et al.  Finite element analysis of cerebral contusion. , 1994, Journal of biomechanics.

[18]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[19]  G. G. Peters,et al.  Predicting brain mechanics during closed head impact , 2002 .

[20]  A. Guyton,et al.  Textbook of Medical Physiology , 1961 .

[21]  Giovanni Belingardi,et al.  Development and validation of a new finite element model of human head , 2005 .

[22]  Piotr K. Smolarkiewicz,et al.  A viscoelastic fluid model for brain injuries , 2002 .

[23]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods , 1999 .