COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics


(To see scheduled colloquia please click here.)

Applied Math Seminar: Modeling Curved Neck Muscle Paths


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.