Events
Department of Mathematics and Statistics
Texas Tech University
Please attend this seminar given jointly with Analysis at this url on Monday the 8th at 2 PM. The passcode is 087956
Cyanobacterial (CB) blooms are becoming a global concern due to the increasing prevalence of eutrophication. The dependence of CB dynamics on phosphorus and light inputs is modeled via a stoichiometric approach and the transient dynamics are discussed. We then couple the CB model to a socio-economic model governing the anthropogenic nutrient inputs. We assume that the human population is made up of cooperators and defectors and that each strategy has an associated cost dependent on social pressure and norms, concern for CB, and effort. We find that the human population at a single lake exhibits bistability. Further, in considering a network of lakes the level of cooperation is highly dependent on social norms.
Please attend the Biomathematics seminar virtually on Tuesday the 9th at 3:30 PM via this zoom link
 | Wednesday
Feb. 10
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| Algebra and Number Theory
No Seminar
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Constant Mean Curvature (CMC) surfaces constitute a classical subject in Differential Geometry and are mathematical models in many disciplines of science. In this talk, I will present a recent work on the existence of CMC 2-spheres in an arbitrary Riemannian 3-sphere. This is a joint work with Da Rong Cheng.
Please virtually attend Dr. Zhou's talk on Wednesday at 3 PM via this zoom link.The pKa values are important quantities characterizing the ability of protein active sites to give up protons. pKa can be measured using NMR by tracing chemical-shifts of some special atoms, which is however expensive and time-consuming. Alternatively, pKa can be calculated numerically by electrostatic free energy changes subject to the protonation and deprotonation of titration sites. To this end, the Poisson-Boltzmann (PB) model is an effective approach for the electrostatics. However, numerically solving PB equation is challenging due to the jump conditions across the dielectric interfaces, irregular geometries of the molecular surface, and charge singularities. Our recently developed matched interface and boundary (MIB) method treats these challenges rigorously, resulting in a solid second order MIBPB solver. Since the MIBPB solver uses Green's function based regularization of charge singularities by decomposing the solution into a singular component and a regularized component, it is particularly efficient in treating the accuracy-sensitive, numerous, and complicated charges distribution from the pKa calculation. Our numerical results demonstrate that accurate electrostatics potentials, forces, energies, and pKa values are achieved at coarse grid rapidly. In addition, the resulting software, which pipelines the entire pKa calculation procedure, is available to all potential users from the greater bioscience community.
Please virtually attend Dr. Geng's seminar via this zoom link Wednesday the 10th at 4 PM CST.