The proposal of a bone remodeling model based on generalized thermodynamics potentials
 
 
Description:  The bones are the elements responsible to support the body and one of their main characteristics is the capability of self adaptation, which consists in continuous changes in their microstructure during life-time. The process responsible for this modification is called internal remodeling and there are many mechanisms including physiological and mechanics stimulus that control this process in multiple scales. Those stimuli are not completely understood, but it can be said that the microdamage is one of the most important stimulus for the process of remodeling. From this statement was proposed the utilization of the formal rules of thermodynamics to describe the process of bone remodeling. In this presentation, the thermodynamics potentials are showed to generate the laws of state based on internal scalar variables. The evolution of the variables in time is determinated by dissipation potentials, that is created making use of convex analysis. The constitutive equations are solved with mathematical programming algorithms and the numerical implementation of this theory uses the Finite Elements Method to spatial discretization. One program, named REMOLD 1D, is implemented to determine the process of bone remodeling for one-dimensional problems. The advantage in the use of this formalism is the possibility of obtaining a model capable of include many characteristics of the phenomenon that surely do not go against thermodynamics rules. The next step in the modeling development is to create a multiscale propose that can include the characteristics of the cells biological and biochemical processes.
Date:  2010-09-22
Start Time:   14:00
Speaker:  Emílio Graciliano Ferreira Mercuri (Univ. Porto / Univ. Fed. Paraná, Brasil)
Institution:  Universidade do Porto / Universidade Federal do Paraná, Brasil
Research Groups: -Numerical Analysis and Optimization
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