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Numerical Simulations in Biomedical Engineering

by The Ohio State University

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Course Description

The on-line materials complement the iBook, with the same title, "Numerical Simulations in Biomedical Engineering, published in January 1, 2014. The key parts of the iTunesU material are the 3 video tutorials associated with Chapters 6,7, and 8 of the iBook.

The course has 4 objectives, listed below. Access to the MATLAB and the COMSOL finite element software package are required to independently complete the tutorials, although interested readers could use the tutorials to preview how the software works.

This course focuses on the application of computer-based numerical and graphical display skills for solving problems relevant to biomedical engineering. Areas of application are based upon prior knowledge of biology, mechanics, and mathematics, and will help students develop skills for finding in silico solutions for in vivo problems. This skill set will form the basis for later “domain” courses in BME (e.g., Bioimaging; Biotransport; Biomaterials; Biomechanics; Molecular, Cellular, and Tissue Engineering; Nano and BioMEMS, etc.).
 
Course Objectives:

1. Students will be able to graph and visualize biologically relevant experimental data, analytical solutions, input data files, 2- and 3-D model geometries, and solution outputs (e.g., ECG, curve fit stress-relaxation data, finite element models, CT projections and back-projections, MRI reconstructions, etc.) by modifying, developing, and executing appropriate MATLAB scripts.

 2. Students will be able to find numerical solutions for algebraic balance equations describing biologically based phenomena (e.g., bone stiffness; cell migration; tissue absorption of laser light) by modifying, developing, and executing appropriate MATLAB scripts for the solution of sets of linear and non-linear equations.

 3. Students will be able to find numerical solutions for differential balance equations describing biologically based phenomena (e.g., cell differentiation; current flow in cardiac tissue; diffusion; blood flow) by modifying, developing, and executing appropriate MATLAB scripts for the solution of ordinary differential equations.

 4. Students will be able find numerical solutions for integral balance equations describing biologically based phenomena (e.g., total hip replacement analysis) by developing and executing appropriate finite element analyses using COMSOL.


Numerical Simulations in Biomedical Engineering
View in iTunes

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