Prof. Helen Moore, MD-Pulmonary Systems Medicine Department, University of Florida, USA
Tuesday, May 10, 2022, 17:00
- 18:00
https://kaust.zoom.us/j/8570786729
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How to Use Mathematics to Predict Cancer Patient Responses to Immuno-therapy.
Ulisse Stefanelli, Professor, Chair of Applied Mathematics and Modeling University of Vienna
Thursday, March 10, 2022, 17:00
- 18:00
https://kaust.zoom.us/j/8570786729
Contact Person
I will present some recent work in collaboration with Elisa Davoli (TU Wien) and Katerina Nik (University of Vienna) on a three-dimensional quasistatic morpholelastic model. The mechanical response of the body and its growth are modeled by the interplay of hyperelastic energy minimization and growth dynamics. An existence result is obtained by regularization and time-discretization, also taking advantage of an exponential-update scheme. Then, we allow the growth dynamics to depend on an additional scalar field describing a nutrient, and formulate an optimal control problem. Eventually, we tackle the existence of coupled morphoelastic and nutrient solutions, when the latter is allowed to diffuse and interact with the growing body. The preprint is available as arXiv:2110.05566.
Irene Fonseca, Center for Nonlinear Analysis, Carnegie Mellon University
Tuesday, February 08, 2022, 19:00
- 20:00
https://kaust.zoom.us/j/8570786729
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A variational model in the context of the gradient theory for fluid-fluid phase transitions with small scale heterogeneities is studied. In the case where the scale of the small heterogeneities is of the same order of the scale governing the phase transition, the interaction between homogenization and the phase transitions process leads to an anisotropic interfacial energy. Bounds on the homogenized surface tension are established. In addition, a characterization of the large-scale limiting behavior of viscosity solutions to non-degenerate and periodic Eikonal equations in half-spaces is given. This is joint work with Riccardo Cristoferi (Radboud University, The Netherlands), Adrian Hagerty (USA), Cristina Popovici (USA), Rustum Choksi (McGill, Canada), Jessica Lin (McGill, Canada), and Raghavendra Venkatraman (NYU, USA).