On the Construction of Analytic Solutions to a Visco–Elasticity Model for Soft Tissues

F. J. Vermolen ()
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F. J. Vermolen: Delft University of Technology, Delft Institute of Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 607-615 from Springer

Abstract: Abstract We consider a simple model for visco–elasticity, that is commonly applied to simulate dermal wound healing. First the problem is formulated, then, convergence to a steady–state equilibrium solution is demonstrated. Subsequently, we construct analytic solutions based on Green’s Functions for one-dimensional sample problems. These solutions enable us to look at the convergence behavior towards equilibrium solutions. We also give some conditions for monotonic convergence.

Keywords: Visco-elastic Model; Steady-state Equilibrium Solution; Dermal Wound Healing; Cellular Traction Forces; Travelling Wave Analysis (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_64

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DOI: 10.1007/978-3-642-33134-3_64

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