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

Time derivative of direction of collagen fiber depending on principal stress

Reaction equation of concentration of collagen including strain energy

Path vector of motion of fibroblast

A series of reaction - diffusion equations of chemical matters secreted from fibroblast

Bonding conditions between fibroblast and collagen fiber

Rate form of constitutive equation of collagen fibrous tissue

Computational model and initial configuration of fibroblasts

Computational results without mechanical stress

Computational results with mechanical stress

Distribution of stress