1. 16 - examples - volume growth

2. example - growth of aortic wall
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

3. example - growth of aortic wall
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

4. 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 & McCulloch [1994], Epstein & Maugin [2000], Humphrey [2002]
example - growth of aortic wall

5. example - growth of aortic wall
volume growth of aortic wall
normosensitive
hypersensitive
severeley hypersensitive
wall thickening-thickening of musculoelastic fascicles
Matsumoto & Hayashi [1996], Humphrey [2002]
example - growth of aortic wall

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

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

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

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

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

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

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

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

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

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