living matter lab
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fall 14 - me334 - mechanics of the brain

Brain2014a.jpg
Brain2014b.jpg

me 337 - mechanics of the brain 14

ellen kuhl
office hours tue 2:00-3:00, durand 217
course syllabus

fall 2014
tue thu 11:00-12:15
530-127

goals

Our brain is not only our softest, but also our least well-understood organ. Floating in the cerebrospinal fluid, embedded in the skull, it is almost perfectly isolated from its mechanical environment. Not surprisingly, most brain research focuses on the electrical rather than the mechanical characteristics of brain tissue. Recent studies suggest though, that the mechanical environment plays an important role in modulating brain function. Neuromechanics has traditionally focused on the extremely fast time scales associated with dynamic phenomena on the order of seconds or milliseconds. The prototype example is traumatic brain injury where extreme loading rates cause intracranial damage associated with a temporary or permanent loss of function. Neurodevelopment, on the contrary, falls into the slow time scales associated with quasi-static phenomena on the order of weeks or months. A typical example that has recently received growing attention is cortical folding, where compressive forces between the gray matter layer and the white matter substrate cause structural instabilities and induce surface buckling. We begin this course by dissecting mammalian brains to explore their neuroanatomy and neuromorphology and correlate our observations to neurophysiology. We discuss morphological abnormalities including lissencephaly and polymicrogyria and their similarities with neurological disorders including schizophrenia and autism. We address the role of mechanics during brachycephaly, plagiocephaly, tumor growth, and hydrocephalus. We close with the fast time scales and explore the mechanics of traumatic brain injury with special applications to shaken baby syndrome.

grading

  • 20 % dissection - presentation and written report, 10% each
  • 30 % homework - three homework assignments, 10% each
  • 20 % project presentation - graded by the class
  • 30 % project report - graded by instructor

syllabus

day date topic slides homework
tue sep 23 introduction to brain anatomy s01
thu sep 25 introduction to brain mechanics s02
tue sep 30 dissecting brains s03
thu oct 02 brain anatomy - student presentations s04
tue oct 07 brain mechanics in 1d – elasticity of neurons s05
thu oct 09 brain mechanics in 3d – elasticity of the brain s06
tue oct 14 brain mechanics in 3d – viscoelasticity of the brain s07
thu oct 16 brain mechancis in 3d – poroelasticity of the brain s08
tue oct 21 brain growth in 1d – axonal growth s09
thu oct 23 brain growth in 2d – morphogenesis s10
tue oct 28 brain growth in 3d – physiology and pathology s11
thu oct 30 brain growth in 3d – pathologies s12
tue nov 04 brain growth in 3d – brain tumors s13
thu nov 06 brain fluid mechanics – hydrocephalus s14
tue nov 11 brain dynamics in 1d - axonal injury s15
thu nov 13 neurosurgery - brain doctors s16
tue nov 18 brain dynamics in 3d - traumatic brain injury s17
thu nov 20 brain dynamics in 3d – shaken baby syndrome s18
tue dec 02 final projects - discussion, presentation, evaluation s19
thu dec 04 final projects - discussion, presentation, evaluation s20
fri dec 05 final project reports due

matlab files

finally... here's the matlab code for brain folding

additional reading

(1) taber l. biomechanics of growth, remodeling, and morphogenesis, appl mech rew 48, 487-545, 1995
(2) kuhl e, menzel a, steinmann p. computational modeling of growth - a critical review, a classification and two new consistent approaches, computational mechanics 32, 71-88, 2003
(3) rodriguez ek, hoger a, mc culloch a. stress-dependent finite growth in soft elastic tissues, j biomechanics 27, 455-467, 1994
(4) kuhl e, maas r, himpel g, menzel a. computational modeling of arterial wall growth - attempts towards patient-specific simulations based on computer tomography, biomech model mechanobio 6, 321-331, 2007
(5) göktepe s, abilez oj, parker kk, kuhl e. a multiscale model for eccentric and concentric cardiac growth through sarcomerogenesis.j theor bio 265: 433-442, 2010
(6) ambrosi d, ateshian ga, arruda em, cowin sc, dumais j, goriely a, holzapfel ga, humphrey jd, kemkemer r, kuhl e, olberding je, taber la, garikipati k. perspectives on biological growth and remodeling.j mech phys solids 59: 863-883, 2011
(7) zöllner am, buganza tepole A, kuhl e. on the biomechanics and mechanobiology of growing skin. j theor bio 297, 166-175, 2012
(8) menzel a, kuhl e. frontiers in growth and remodeling. mech res comm 42,1-14, 2012