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01Jan

Time: 2pm – 3pm, 9/23/2022 Location: Zoom https://us02web.zoom.us/j/85199919254?pwd=Um9oZkVFZVIyMjVXL3M5T2poNEZsUT09 Title: Coupled cell hypernetworks for identical cells and synchrony Abstract: Coupled cell hypernetworks are introduced. These correspond to a new class of coupled cell networks whose structure is determined by a directed hypergraph, capturing the fact that the evolution of each cell depends (typically nonlinearly) on an interaction involving […]

08Sep

Time: 9:30 – 10:30am Location: SB147 and Zoom Title: Age- and Size-Structured Deterministic Models with Applications to Biological Sciences and Environmental Economics Abstract: Age- and size-dependent models are presented to address important current issues in biological and economic-environmental sciences. The considered deterministic models are described by differential and integral equations. The emphasis will be made […]

02Dec

Time: 9:30 – 10:30am Location: SB147 and Zoom Title: Age- and Size-Structured Deterministic Models with Applications to Biological Sciences and Environmental Economics Abstract: Age- and size-dependent models are presented to address important current issues in biological and economic-environmental sciences. The considered deterministic models are described by differential and integral equations. The emphasis will be made […]

19Nov

Abstract The study of the synergetic effects of multiple interacting disturbances on the dynamical behavior of a biological system has received extensive attention. However, the interactions among disturbances are highly complex and the impacts are not well understood. In this talk, I will discuss the development of mathematical models to study the effects of exogenous pressures on the dynamics […]

01Jan

Abstract We develop parameter-robust numerical algorithms for Biot modeland apply the algorithms in brain edema simulations. By introducing an intermediate variable, we derive a multiphysics reformulation of the Biot model. Based on the reformulation, the Biot model is viewed as a generalized Stokes subproblem combining with a reaction-diffusion subproblem. Solving the two subproblems together or […]

17Sep

Abstract A large, and physically important, class of linear hermitian/non-hermitian, elliptic partial differential equations are transformable into a representation corresponding to a finite difference equation for the power moments of the physical, exponentially bounded, solutions. We refer to this as the Moment Equation Representation (MER). We show that for such MER systems, the use of […]

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