"Interfacial Growth during Closure of a Cutaneous Wound: residual stress, wrinkling, and rupture"
Mathematical Soft Matter Unit (Fried Unit) would like to invite you to a Seminar by Prof. Anurag Gupta from Indian Institute of Technology Kanpur, India.
Date: Friday, March 3rd, 2017
Venue: C016, Level C, Lab1
Professor Anurag Gupta
Department of Mechanical Engineering
Indian Institute of Technology Kanpur, India
Interfacial Growth during Closure of a Cutaneous Wound: residual stress, wrinkling, and rupture
A biomechanical growth model for the proliferation stage of cutaneous wound healing is developed emphasizing the emergence of stress, along with wrinkling and rupturing, in the skin and the wound during the healing process. The healing is assumed to be primarily driven by growth at the wound edge (i.e. the interface between the wound and the skin) leading to incompatible growth strains. By treating both wound and skin as hyperelastic membranes, we study wrinkling within the framework of tension-field theory and rupturing as a problem of cavitation in nonlinear elastic materials. We obtain analytical solutions for deformation and residual stress field in the skin-wound configuration while emphasizing the coupling between wound rupture and wrinkling in the skin. The solutions are analyzed in detail for variations in stretching environment, healing condition, and membrane stiffness.