Computational Simulation of Fibrous Pattern Formation of Type I Collagen Fiber in Skin Tissue by Motion of Fibroblasts and A Series of Reaction - Diffusion Equations of Secreted Chemical Matters
Definition of collagen concentration vector
![](defcolcon.jpg)
![](vector.jpg)
Time derivative of direction of collagen fiber depending on principal stress
![](dtheta.jpg)
Reaction equation of concentration of collagen including strain energy
![](dcolcon.jpg)
Path vector of motion of fibroblast
![](cellpath.jpg)
A series of reaction - diffusion equations of chemical matters secreted from fibroblast
![](reacdiffs.jpg)
Bonding conditions between fibroblast and collagen fiber
![](cellbond.jpg)
Rate form of constitutive equation of collagen fibrous tissue
![](consteq.jpg)
Computational model and initial configuration of fibroblasts
![](models.jpg)
Computational results without mechanical stress
![](angle-without-a.jpg)
![](c-dens-withoutstr.jpg)
Computational results with mechanical stress
![](ori-h-direction.jpg)
![](angle-h-a.jpg)
Distribution of stress
![](stressmap.jpg)
Go Iwamoto's HP!!