Contents |
fall 14 - me334 - mechanics of the brain
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me 337 - mechanics of the brain 14 ellen kuhl fall 2014 |
goals
understanding the role of mechanics in brain development, physiology, and pathology. mechanics of brain cells: neurons, mechanobiology, mechanotransduction. mechanics of brain tissue: experimental testing, constitutive modeling, computational modeling. mechanics of brain development: gyrification, cortical folding, axon elongation, lissencephaly, polymicrogyria. mechanics of traumatic brain injury: high impact loading, neural injury. mechanics of brain tumors, brain cancer, tumor growth, altered cytoskeletal mechanics. mechanics of neurological disorders: autism, dementia, schizophrenia. mechanics of brain surgery.
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 | motivation - everything grows! | s01 | |
| thu | sep | 25 | basics maths - notation and tensors | s02 | h01 |
| tue | sep | 30 | project example - growing skin | s03 | |
| thu | oct | 02 | kinematics - growing brains | s04 | |
| tue | oct | 07 | basic kinematics - large deformation and growth | s05 | |
| thu | oct | 09 | kinematics - growing hearts | s06 | |
| tue | oct | 14 | balance equations - closed and open systems | s07 | |
| thu | oct | 16 | balance equations - wound healing | s08 | |
| tue | oct | 21 | basic constitutive equations - growing muscle | s09 | h02 |
| thu | oct | 23 | basic constitutive equations - growing tumors | s10 | |
| tue | oct | 28 | volume growth - finite elements for growth - theory | s11 | |
| thu | oct | 30 | volume growth - finite elements for growth - matlab | s12 | |
| tue | nov | 04 | basic constitutive equations - growing bones | s13 | |
| thu | nov | 06 | density growth - finite elements for growth | s14 | h03 |
| tue | nov | 11 | density growth - growing wounds | s15 | |
| thu | nov | 13 | everything grows! - midterm summary | s16 | |
| tue | nov | 18 | midterm | ||
| thu | nov | 20 | volume growth - growing hearts | s18 | |
| tue | dec | 02 | final projects - discussion, presentation, evaluation | s19 | h04 |
| thu | dec | 04 | final projects - discussion, presentation, evaluation | ||
| 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