Computer graphics applied to anatomy: a study of two bio-cad modeling methods on finite element analysis of human edentulous hemi-mandible

Modeling is a step to perform a finite element analysis. Different methods of model construction are reported in literature, as the Bio-CAD modeling. The purpose of this study was to perform a model evaluation and application using two methods of Bio-CAD modeling from human edentulous hemi-mandible on the finite element analysis. From CT scans of dried human skull was reconstructed a stereolithographic model. Two methods of modeling were performed: STL conversion approach (Model 1) associated to STL simplification and reverse engineering approach (Model 2). For finite element analysis was used the action of lateral pterygoid muscle as loading condition to assess total displacement (D), equivalent von-Mises stress (VM) and maximum principal stress (MP). Two models presented differences on the geometry regarding surface number (1834 (model 1); 282 (model 2)). Were observed differences in finite element mesh regarding element number (30428 nodes/16683 elements (model 1); 15801 nodes/8410 elements (model 2). D, VM and MP stress areas presented similar distribution in two models. The values were different regarding maximum and minimum values of D (ranging 0-0.511 mm (model 1) and 0-0.544 mm (model 2), VM stress (6.36E-04-11.4 MPa (model 1) and 2.15E-04-14.7 MPa (model 2) and MP stress (-1.43-9.14 MPa (model 1) and -1.2-11.6 MPa (model 2). From two methods of Bio-CAD modeling, the reverse engineering presented better anatomical representation compared to the STL conversion approach. The models presented differences in the finite element mesh, total displacement and stress distribution.

El crescimiento poblacional: una propuesta pedagógica para abordar biologia, matemáticas y TICs

In this paper we propose the achievement of an interdisciplinary activity evolving biology and mathematics knowledge with students of the third grade of high school about the population growth theme. The goal of this activity is to offer to the students a wider perception about the ways of population growth of different organisms from their home region, helping them to represent it through mathematics models. The formulation of the research problem is done from the theoretical and empirical data and the student is encouraged to behave in a participative and dialogic way in all stages of the activity. The mathematical modeling and the graphic representation of the population growth are made through the mathematical software Geogebra and we emphasize the qualitative analysis of the data from the biological and environmental education point of view.

Ensayo sobre la reforma del sector eléctrico : tecnología y competencia

Programa de doctorado: Economía

Biophysical 3D modeling approach of the Canary Current System: a ROMS-PISCES coupling study

Máster Universitario en Oceanografía