PDE models of biological growth

Computational and Applied Mathematics Colloquium

Meeting Details

For more information about this meeting, contact Ludmil Zikatanov, Stephanie Zerby, Wenrui Hao,

Speaker: Alberto Bressan, Department of Mathematics, Penn State

Abstract:

Living tissues, such as stems, leaves and flowers in plants and bones in animals, grow into a great variety of shapes. In some cases, Nature has found ways to control this growth with remarkable accuracy.

In this talk I shall discuss some free boundary problems modeling controlled growth, namely
(I) Growth of 1-dimensional curves in R^3 (plant stems), where stabilization in the vertical direction is achieved by a feedback response to gravity.
(II) Growth of 2 or 3-dimensional domains, controlled by the concentration of a morphogen, coupled with the minimization of an elastic deformation energy.

Some very recent existence, uniqueness, and stability results will be presented, together with numerical simulations. Several future research directions will be discussed.


Room Reservation Information

Room Number: 114 McAllister

Date: 08/29/2016

Time: 2:30pm - 3:30pm