16 examples volume growth 16 examples kinematics of

16 - examples volume growth 16 - examples

kinematics of finite growth mass source mass flux growth tensor multiplicative decomposition Lee [1969], Simo [1992], Rodriguez, Hoger & Mc Culloch [1994], Epstein & Maugin [2000], Humphrey [2002], Ambrosi & Mollica [2002], Himpel, Kuhl, Menzel & Steinmann [2005] example - growth of aortic wall 2

the potato equations - kinematics mass source mass flux growth tensor multiplicative decomposition Lee [1969], Simo [1992], Rodriguez, Hoger & Mc Culloch [1994], Epstein & Maugin [2000], Humphrey [2002], Ambrosi & Mollica [2002], Himpel, Kuhl, Menzel & Steinmann [2005] example - growth of aortic wall

volume growth at constant density • free energy • stress • growth tensor • mass source kinematic coupling of growth and deformation Rodriguez, Hoger & Mc. Culloch [1994], Epstein & Maugin [2000], Humphrey [2002] example - growth of aortic wall 4

volume growth of aortic wall normosensiti ve hypersensitiv e severeley hypersensitive wall thickening-thickening of Matsumoto & Hayashi [1996], Humphrey [2002] musculoelastic fascicles example - growth of aortic wall 5

volume evolution in cylindrical tube stress-induced volume growth Himpel, Kuhl, Menzel & Steinmann [2006] example - growth of aortic wall 6

volume evolution in cylindrical tube stress-induced volume growth Himpel, Kuhl, Menzel & Steinmann [2006] example - growth of aortic wall 7

volume evolution in cylindrical tube stress-induced cross sectional growth Himpel, Kuhl, Menzel & Steinmann [2006] example - growth of aortic wall 8

qualitative simulation of stent implantation initial conditions adiposis early stage soft plaque pressed into wall calcification growing plaque later stage stiff plaque induces high stresses overall thickening - thickening of individual Holzapfel [2001], Holzapfel & Ogden [2003], Kuhl, Maas, Himpel & Menzel [2007] fascicles example - growth of aortic wall 9

qualitative simulation of stent implantation stretch ratio restenotic conditions re-nerrowing of x-section in response to high stress example - growth of aortic wall 10

generation of patient specific model computer tomography - typical cross section example - growth of aortic wall 11

generation of patient specific model outline of ct image - typical cross section example - growth of aortic wall 12

generation of patient specific model from computer tomography to finite element model example - growth of aortic wall 13

stent implantation - patient specific model tissue growth-response to virtual stent Kuhl, implantation Maas, Himpel & Menzel [2007] example - growth of aortic wall 14

stent implantation - patient specific model tissue growth-response to virtual stent Kuhl, implantation Maas, Himpel & Menzel [2007] example - growth of aortic wall 15