Colloquia
Department of Mathematics and Statistics
Texas Tech University
In this talk, I will describe two projects that use fluid-structure interaction techniques for modeling human cardiac physiology. The first project is focused on abnormal coronary vessels in children. The goal is to perform a sort of model validation, where we determine whether models calibrated to data in a "resting" state can predict a quantity of interest in a "stress" state (e.g. exercise). The second project is focused on the creation of a model for the human heart that includes the four valves, the four chambers, the blood, and most of the great vessels. I will demonstrate that this model is able to capture aspects of normal adult cardiac physiology, including realistic pressure volume loops and valve dynamics.
Bio: Charles Puelz is an Assistant Professor of Mathematics at the University of Houston. He obtained his PhD from Rice University and did postdoctoral work at the University of North Carolina and the Courant Institute. His interests include the development of useful numerical methods and computer models that can be used to help treat congenital heart disease.
This Departmental Colloquium is sponsored by the TTU Chapter of SIAM.
At each point on a surface in three-dimensional Euclidean space, the mean curvature is defined as the average of the two principal curvatures. A surface with constant mean curvature is called a constant mean curvature (CMC) surface, and when this constant is zero, the surface is referred to as a minimal surface. Surfaces defined mathematically often harmonize with our daily experiences. For instance, soap bubbles and soap films formed while washing are real-life examples of CMC surfaces and minimal surfaces, respectively. Due to their property of minimizing area under given conditions, these surfaces possess mathematically beautiful structures and offer various applications.
In this talk, I will discuss the mathematical properties and applications of minimal surfaces and surfaces with constant mean curvature and their extensions.
This Departmental Colloquium is sponsored by the Geometry, PDE and Mathematical Physics seminar group.
In this talk, we present some of our recent work on stochastic Kolmogorov systems. The motivation stems from dealing with important issues of ecological and biological systems. Focusing on environmental noise, we aim to address such fundamental questions: "what are the minimal conditions for long-term persistence of a population, or long-term coexistence of interacting species". Some optimal control problems are also mentioned. [The talk reports some of our joint work with N.T. Dieu, H. Du, D.H. Nguyen, and N.N Nguyen.]
This colloquium is sponsored by the Statistics seminar group.
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Please attend the first of this year's three Dayawansa Memorial Lecture Series at 3 PM (UT-5).
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Please attend the second of this year's three Dayawansa Memorial Lecture Series at 3 PM (UT-5).
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Please attend the third of this year's three Dayawansa Memorial Lecture Series at 3 PM (UT-5).