Mathematics Dept.
Ph.D. Candidate: Hon To Hardy Chan
Mathematics, UBC
Mon 25 Jun 2018, 9:00am SPECIAL
Room 200, Graduate Student Centre, UBC
Ph.D. Exam: New Solutions to Local and Non-Local Elliptic Equations
Room 200, Graduate Student Centre, UBC
Mon 25 Jun 2018, 9:00am-11:00am



Using variational and gluing techniques, we construct solutions to local and non-local semilinear elliptic equations. The new fractional elliptic gluing method can be used to obtain a counterexample for the fractional De Giorgi conjecture for ½<s<1. Singular solutions to the fractional Yamabe problem are constructed. We also establish the necessary condition for the existence of solutions for the linearly perturbed nonlinear Schrödinger equation in the hyperbolic space.

Note for Attendees

Latecomers will not be admitted.
Gautam Menon
IMSC, Chennai
Wed 27 Jun 2018, 3:15pm
Mathematical Biology Seminar
ESB 4127
Modeling cell-substrate de-adhesion dynamics under fluid shear
ESB 4127
Wed 27 Jun 2018, 3:15pm-4:15pm


Changes in cell-substrate adhesion are believed to signal the onset of cancer metastasis, but such changes must be quantified against background levels of intrinsic heterogeneity between cells. Variations in cell-substrate adhesion strengths can be probed through biophysical measurements of cell detachment from substrates upon the application of an external force. I will describe theoretical and experimental investigations of the detachment of cells adhered to substrates when these cells are subjected to fluid shear. I will present a theoretical framework within which we calculate the fraction of detached cells as a function of shear stress for fast ramps as well as for the decay in the fraction of detached cells at fixed shear stress as a function of time. Using HEK and 3T3 fibroblast cells as experimental model systems, characteristic force scales for cell adhesion as well as characteristic detachment times are extracted. Variations in adhesion across cell types are especially prominent when cell detachment is probed by applying a time-varying shear stress. These methods can be applied to characterizing changes in cell adhesion in a variety of contexts, including metastasis.