College of Sciences

Department of Mathematics

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Applied Math Seminar: Modeling Curved Neck Muscle Paths

2007-11-07

3:10 pm, Neill Hall 3W

Konstantin Stakhovich

ABSTRACT: Biomechanical models of the musculoskeletal system are used to study human and animal motion in order to improve performance, analyze medical treatments or understand mechanisms of injury. These models rely on accurate representation of muscle paths to predict muscle length, force and moment-generating properties. We use a graphics-based computational model of the neck musculoskeletal system in a software package (SIMM) to analyze head and neck postural control and whiplash injury. Prof. Vasavada and co-workers have also obtained magnetic resonance imaging (MRI) scans of the neck musculature with the head and neck in different postures. We use this geometric data to guide the representation of neck muscles in the model. The MRI data presents muscles as polygonal curves in 3D. To model the muscles in SIMM, we start with a straight line connecting the end points of the polygonal curve. The goal is to place constraining objects such as spheres and cylinders so that the straight line model is made to wrap around these objects, and hence better resemble the polygonal curve. We will present preliminary results of our work on placing multiple wrapping objects to obtain better fits (as opposed to the previous efforts of using single objects). We will also talk briefly about the use of (pseudo)curvature of the polygonal and the fitted curves as a measure of the quality of fit. This is ongoing joint work with Bala Krishnamoorthy (Math) and Anita Vasavada (VCAPP) as part of the UBM program.

Seminars
Colloquia


Weekly Scheduled Seminars

For more information please contact the individuals listed below.

Monday

1:10pm
Algebra Seminar - Google Group

Neill Hall 106W
Contact: Judi McDonald

Tuesday

4:30-5:30pm
Mathematics Education Seminar
One World Cafe - Moscow, ID
Contact: Libby Knott

Wednesday

3:00-4:00pm
Applied Math Seminar
Neill Hall 3W
Contact: Alan Genz

4:00-5:00pm
Reliability and Risk Seminar
Neill Hall 106W
Contact: Haijun Li

Thursday


Friday

4:15-5:15pm
Spatial Reasoning: An Interdisciplinary Seminar

Cleveland Annex 309
Contact Co-organizers: Kim Vincent and Kathleen Ryan, Interior Design.
Various disciplines dealing with spatial relationships and reasoning will be examined. We will discuss what spatial reasoning is and how to improve students' spatial reasoning. The book, Learning to Think Spatially: GIS as a Support System in the K-12 Curriculum will be used. A read-only version may be found at www.nap.edu/catalog.php?record_id=11019
Department of Mathematics, PO Box 643113, Neill 103, Washington State University, Pullman WA 99164-3113 Phone: 509-335-3926 Fax: 509-335-1188 Contact Us