[카테고리:] Invited talks

[Invited talk]Modeling biology with simple geometric objects: Application to therapeutic effect on cancer cell mechanics

Posted on by hyke

There will be an invited talk

Title: Modeling biology with simple geometric objects: Application to therapeutic effect on cancer cell mechanics
Speaker: Myles Kim (Florida Polytechnic Univ. USA)
Time: July 18th (Monday) 11:00 – 12:00
Place: 27-220
Abstract:
Microtubules, the component of cell cytoskeleton, play versatile roles in different cellular processes, such as maintenance of cell structure, the backbone of intracellular transport, formation of the mitotic spindle, and reorientation of intracellular organelles. More importantly, some of their functions rely on the mechanical properties, such as the elasticity of microtubules or the way that microtubules interact with surrounding media. In this presentation we will discuss the microtubule bundling observed in circulating tumor cells after taxane-based chemotherapy. It is widely accepted that the tubulin stabilizing effect of taxane is responsible for the bundling phenomena, and it is also suggested that the pattern of microtubule bundles may have potential prognostic value in assessing patient response to treatment. However, the underlying mechanisms are not clear and a variety of factors contributing to microtubule bundling need to be understood to better serve as a prognostic tool. A computational model based only on simple geometric objects was designed to simulate the intracellular mechanics, especially to capture mechanical behavior of growing microtubules in response to the tubulin stabilization. Using the model, various cytoskeletal and morphological conditions were tested computationally to identify the possible mechanisms of microtubule bundling. The model was able to suggest relationship between microtubule reorganization and taxane-based therapy.

[Invited talk] Variational Mean Field Games

Posted on by hyke

There will be an invited talk.

Title: Variational Mean Field Games
Speaker: Filippo Santambrogio (Université Paris-Sud)
Time: June 15th (Wednesday) 16:00 – 17:00
Place: 27-220
Abstract:
I will give a brief introduction to the the emerging topic of Mean Field Games, introduced by J-M Lasry and P-L Lions some years ago as a model for the equilibrium of a population of agents each selecting his own optimal paths, according to a criterion which involves the density of the other agents, in the form of a congestion charge. This gives rise to a coupled system of PDEs, a continuity equation where the density moves according to the gradient of a value function, and a Hamilton-Jacobi equation solved by the value function, where the density also appears. I will mainly deal with the case where this equilibrium problem may be seen as optimality conditions of a convex variational problem, and give the main results in this framework. In particular, I will present some easy but recent regularity results, as well as the connection with optimal transport theory (in particular the dynamical formulation given by J-D Benamou and Y Brenier for numerical purposes). At the end of the talk I will present an interesting variant, where the congestion cost is replaced by a capacity constraint.

[Invited talk] Refined error estimates and decay properties for a damped semilinear wave equation

Posted on by hyke

There will be an invited talk.

Title: Refined error estimates and decay properties for a damped semilinear wave equation
Speaker: Debora Amadori (University of L’Aquila)
Time: 30th May (Monday) 15:00 – 16:00
Place: 129 – 406
Abstract: [Click here]
This talk will concern the approximation of a semilinear wave equation with space-dependent damping in one space dimension.
After rewriting the equation as a first order system, we present an approach for proving rigorous L^1 error estimates
for certain classes of approximations. The main relevant features are that these approximations preserve stationary solutions
and that the L^1 difference with exact solutions is bounded uniformly in time, therefore leading to accurate estimates for large times.
Moreover, a decay property of the total variation of the solution is shown in the region where the damping is supported.
This will be related to a well-known property of decay of energy for the damped wave equation.