TITLE: Recent developments in modeling HIV infection and treatment ABSTRACT: HIV infection is still a serious public health problem in the world. Highly active antiretroviral therapy can suppress viral replication to a very low level but cannot eradicate the virus. Mathematical models, combined with experimental data, have provided important insights into HIV dynamics, immune responses, and drug

TITLE: Geometry of curve lengthening membranes. ABSTRACT:   In this talk, I’ll present rigorous results of the transient evolution of bilayer interfaces evolving of the mass preserving L^2-gradient flow of the functionalized Cahn-Hilliard equation. The proof is based on energy modulated method, which requires a construction of slow manifold – bilayer manifold, composed of approximated solutions dressed around

TITLE: Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface ABSTRACT: This work further improves the pseudo-transient approach for the Poisson Boltzmann equation (PBE) in the electrostatic analysis of solvated biomolecules. The numerical solution of the nonlinear PBE is known to involve many difficulties, such as exponential nonlinear term, strong singularity by the source

TITLE: Variations of the sharp interfaces in multiphase problems ABSTRACT: During recent decades, there has been a tremendous growth of activity on multi-phase problems, e.g. multiphase fluids. In most such models, different phases are separated by a sharp interface. This talk aims at introducing some basic geometric tools for taking first and second variations of the

TITLE: Variations of the sharp interfaces in multiphase problems - Part II ABSTRACT: We will continue with the discussion in Part I and derive the first and second variations of the nonpolar solvation energy of an implicit solvation model. Then in combining with some basic tools from Calculus of Variations, we will study the variations

TITLE: Variations of the sharp interfaces in multiphase problems - Part III ABSTRACT: We will continue with the discussion in Part II and derive the first variation of the polar solvation energy of an implicit solvation model.  In the rest of this series of talk, we aim at answering the question whether the minimizer of the

Title: Kinetic Monte Carlo Simulations of Multicellular Aggregate Self-Assembly in Biofabrication Abstract:  We present a three-dimensional lattice model to study self-assembly and fusion of multicellular aggregate systems by using kinetic Monte Carlo (KMC) simulations. This model is developed to describe and predict the time evolution of postprinting morphological structure formation during tissue or organ maturation in

Title: Variations of the sharp interfaces in multiphase problems - Part IV Abstract: In the first part of the talk, we will show the existence of a minimizer for a minimal surface problem with prescribed mean curvature and obstacle.  In the second part, we will focus on the question whether the minimizing surface enjoys enough

Title: Variations of the sharp interfaces in multiphase problems - Part V Abstract: We will conitnue with the discussion on the regularity of a minimal surface with prescribed mean curvature and obstacle. The problem leads to a variational inequality. Then we will use a result by Breiz and Kinderlehrer to show that the minimizing surface