PDE models of biological growth
Speaker: Alberto Bressan, Department of Mathematics, Penn State
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
Time: 2:30pm - 3:30pm