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| tue || jan || 22 || guest lecture - growing surfaces || [http://biomechanics.stanford.edu/me337_13/me337_s05.pdf s05] || | | tue || jan || 22 || guest lecture - growing surfaces || [http://biomechanics.stanford.edu/me337_13/me337_s05.pdf s05] || | ||
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− | | thu || jan || 24 || kinematics - growing leaflets || [http://biomechanics.stanford.edu/ | + | | thu || jan || 24 || kinematics - growing leaflets || [http://biomechanics.stanford.edu/me337_13/me337_s06.pdf s06]|| |
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− | | tue || jan || 29 || basic balance equations - closed and open systems || [http://biomechanics.stanford.edu/ | + | | tue || jan || 29 || basic balance equations - closed and open systems || [http://biomechanics.stanford.edu/me337_13/me337_s07.pdf s07] || |
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− | | thu || jan || 31 || basic constitutive equations - growing | + | | thu || jan || 31 || basic constitutive equations - growing muscle || [http://biomechanics.stanford.edu/me337_13/me337_s08.pdf s08] || [http://biomechanics.stanford.edu/me337_13/me337_h02.pdf h02] |
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− | | tue || feb || 05 || | + | | tue || feb || 05 || basic constitutive equations - growing tumors || [http://biomechanics.stanford.edu/me337_13/me337_s09.pdf s09] || |
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− | | thu || feb || 07 || volume growth - | + | | thu || feb || 07 || volume growth - finite elements for growth - theory || [http://biomechanics.stanford.edu/me337_13/me337_s10.pdf s10]|| |
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− | | tue || feb || 12 || volume growth - | + | | tue || feb || 12 || volume growth - finite elements for growth - matlab || [http://biomechanics.stanford.edu/me337_13/me337_s11.pdf s11] || |
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− | | thu || feb || 14 || volume growth - growing | + | | thu || feb || 14 || volume growth - growing skin || [http://biomechanics.stanford.edu/me337_13/me337_s12.pdf s12]|| |
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− | | tue || feb || 19 || basic constitutive equations - growing bones || [http://biomechanics.stanford.edu/ | + | | tue || feb || 19 || basic constitutive equations - growing bones || [http://biomechanics.stanford.edu/me337_13/me337_s13.pdf s13] || |
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− | | thu || feb || 21 || density growth - finite elements for growth || [http://biomechanics.stanford.edu/ | + | | thu || feb || 21 || density growth - finite elements for growth || [http://biomechanics.stanford.edu/me337_13/me337_s14.pdf s14] || [http://biomechanics.stanford.edu/me337_13/me337_h03.pdf h03] |
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− | | tue || feb || 26 || density growth - growing bones || [http://biomechanics.stanford.edu/ | + | | tue || feb || 26 || density growth - growing bones || [http://biomechanics.stanford.edu/me337_13/me337_s15.pdf s15] || |
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− | | thu || feb || 28 || everything grows! - midterm summary || [http://biomechanics.stanford.edu/ | + | | thu || feb || 28 || everything grows! - midterm summary || [http://biomechanics.stanford.edu/me337_13/me337_s16.pdf s16] || |
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| tue || mar || 05 || midterm || || | | tue || mar || 05 || midterm || || | ||
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− | | thu || mar || 07 || remodeling - remodeling arteries and tendons || [http://biomechanics.stanford.edu/ | + | | thu || mar || 07 || remodeling - remodeling arteries and tendons || [http://biomechanics.stanford.edu/me337_13/me337_s18.pdf s18] || |
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− | | tue || mar || 12 || class project - discussion, presentation, evaluation || [http://biomechanics.stanford.edu/me337_12/me337_s19.pdf s19] || | + | | tue || mar || 12 || class project - discussion, presentation, evaluation || [http://biomechanics.stanford.edu/me337_12/me337_s19.pdf s19] || [http://biomechanics.stanford.edu/me337_13/me337_sample.doc h04] |
|- | |- | ||
| thu || mar || 14 || class project - discussion, presentation, evaluation || || | | thu || mar || 14 || class project - discussion, presentation, evaluation || || |
Latest revision as of 21:40, 6 March 2013
Contents |
[edit] winter 13 - me337 - mechanics of growth
ellen kuhl, alexander zollner winter 2013 |
[edit] goals
in contrast to traditional engineering structures living structures show the fascinating ability to grow and adapt their form, shape and microstructure to a given mechanical environment. this course addresses the phenomenon of growth on a theoretical and computational level and applies the resulting theories to classical biomechanical problems like bone remodeling, hip replacement, wound healing, atherosclerosis or in stent restenosis. this course will illustrate how classical engineering concepts like continuum mechanics, thermodynamics or finite element modeling have to be rephrased in the context of growth. having attended this course, you will be able to develop your own problem-specific finite element based numerical solution techniques and interpret the results of biomechanical simulations with the ultimate goal of improving your understanding of the complex interplay between form and function.
[edit] journal club
mechanics of growth on imechanica
[edit] class papers
zöllner am, abilez oj, böl m, kuhl e. stretching skeletal muscle - chronic muscle lengthening through sarcomerogenesis. plos one, 2012;7(10):e45661. (download) (online)
pang h, shiwalkar ap, madormo cm, taylor re, andriacchi tp, kuhl e. computational modeling of bone density profiles in response to gait: a subject-specific approach. biomech model mechanobio, 2012;11:379-390. (download)
buganza tepole a, ploch cj, wong j, gosain ak, kuhl e. growing skin - a computational model for skin expansion in reconstructive surgery. j mech phys solids, 2011;59:2177-2190. (download)
taylor re, zheng ch, jackson pr, doll jc, chen jc, holzbaur krs, besier t, kuhl e. the phenomenon of twisted growth: humeral torsion in dominant arms of high performance tennis players. comp meth biomech biomed eng, 2009;12:83-93. (download)
[edit] grading
- 30 % homework - 3 homework assignments, 10% each
- 30 % midterm - closed book, closed notes, one single page cheat sheet
- 20 % final project oral presentations - graded by the class
- 20 % final project essay - graded by instructor
[edit] syllabus
day | date | topic | slides | homework | |
---|---|---|---|---|---|
tue | jan | 08 | motivation - everything grows! | s01 | |
thu | jan | 10 | basics maths - notation and tensors | s02 | h01 |
tue | jan | 15 | basic kinematics - large deformation and growth | s03 | |
thu | jan | 17 | kinematics - growing hearts | s04 | |
tue | jan | 22 | guest lecture - growing surfaces | s05 | |
thu | jan | 24 | kinematics - growing leaflets | s06 | |
tue | jan | 29 | basic balance equations - closed and open systems | s07 | |
thu | jan | 31 | basic constitutive equations - growing muscle | s08 | h02 |
tue | feb | 05 | basic constitutive equations - growing tumors | s09 | |
thu | feb | 07 | volume growth - finite elements for growth - theory | s10 | |
tue | feb | 12 | volume growth - finite elements for growth - matlab | s11 | |
thu | feb | 14 | volume growth - growing skin | s12 | |
tue | feb | 19 | basic constitutive equations - growing bones | s13 | |
thu | feb | 21 | density growth - finite elements for growth | s14 | h03 |
tue | feb | 26 | density growth - growing bones | s15 | |
thu | feb | 28 | everything grows! - midterm summary | s16 | |
tue | mar | 05 | midterm | ||
thu | mar | 07 | remodeling - remodeling arteries and tendons | s18 | |
tue | mar | 12 | class project - discussion, presentation, evaluation | s19 | h04 |
thu | mar | 14 | class project - discussion, presentation, evaluation | ||
thu | mar | 14 | written part of final projects due |
[edit] final project
buganza a, wong j, kuhl e. computational modeling of mechanically driven skin growth due to different expander geometries, farmington, pennsylvania, 2011
[edit] matlab files
finally... here's the matlab code for growth
[edit] 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