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Krasnow Institute > Monday Seminars > Abstracts Mechanical Models for Cortical Growth The computation of shape change from physical principles, or morphodynamics, is a fundamental problem in developmental biology. After a brief introduction, the talk will consist of three parts. In the first, a continuum model for the folding of brain cortical contours, in which growth is induced by a change in reference metric will be presented; with suitable constraints, this model gives rise to a variety of shapes akin to those actually seen. In the second part, the inverse (control) problem of estimating a time-dependent reference metric from initial and final data is used to match cortical contours, and compared with an ^active contour^ method. This work has been done jointly with Wayne Lawton, S.R.Ranjan and R.R. Viswanathan at the National University of Singapore. Finally, the ^symmetry breaking^ aspect of the growth will be discussed, and it is proposed that the domains of pseudogroups will the objects of interest in such a study.
The Krasnow Institute for Advanced Study |
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