Home > Archives > Additional Archives > Edward Givelberg   Edward Givelberg, Professor Department of Mathematics University of Michigan, Ann Arbor Ann Arbor, MI givelber@math.lsa.umich.edu http://www.math.lsa.umich.edu/~givelber/  Consturction of a Comutational Model of the Cochlea The primary research focus of this group is the construction of a three dimensional computational model of the cochlea, which will be used to study the principal open problems in auditory signal processing: the fine tuning of the cochlea (its ability to differentiate nearby input sound frequencies), the nature of nonlinear effects in auditory signal processing, and the significance of curvature in cochlear geometry. By applying techniques of differential geometry a new shell theory is derived based solely on the Kirchhoff-Love hypothesis without the use of approximations or extraneous assumptions, such as the moderate bending assumption, used in all previous shell theories. The partial differential equations of this shell model simulate the elastic response of the basilar membrane and, together with the Navier-Stokes equations, provide a realistic description of the macro-mechanics of the cochlea. This shell model has been incorporated into the framework of the immersed boundary method resulting in a practical algorithm which has been implemented, tested, and optimized on the Cray T90 at the San Diego Supercomputer Center.
	Home | SDSC | UCSD | Campus Map | Contact Info
	The San Diego Supercomputer Center (SDSC) is a research unit of the University of California, San Diego, and the leading-edge site of the National Partnership for Advanced Computational Infrastructure. SDSC researchers conduct studies in computational science, develop high-performance computing and networking technologies, and participate in NPACI activities. SDSC -- UC San Diego, MC 0505 -- 9500 Gilman Drive -- La Jolla, CA 92093-0505 -- 858-534-5000 -- 858-534-5152 (fax) info@sdsc.edu © 2001, The Regents of the University of California