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Computing Flows Around Microorganisms: Slender-Body Theory and Beyond

2014; Taylor & Francis; Volume: 121; Issue: 9 Linguagem: Inglês

10.4169/amer.math.monthly.121.09.810

1930-0972

Hoa Nguyen, Ricardo Cortez, Lisa Fauci,

Characterization and Applications of Magnetic Nanoparticles

AbstractWe present the mathematical framework that governs the interaction of a forcegenerating microorganism with a surrounding viscous fluid. We review slender-body theories that have been used to study flagellar motility, along with the method of regularized Stokeslets. We investigate the role of a dinoflagellate transverse flagellum as well as the flow structures near a choanoflagellate. Additional informationNotes on contributorsHoa NguyenHOA NGUYEN received her Ph.D. in computational and applied mathematics from Florida State University and then became a postdoctoral researcher at the Center for Computational Science at Tulane University. She is now an assistant professor of the Department of Mathematics at Trinity University in San Antonio, Texas. She is passionate about engaging undergraduate students in her research and enjoys collaborating with others to solve interesting problems in computational fluid dynamics, mathematical biology, multiscale modeling and simulations of protein aggregation and misfolding, mesh generation, and robotic navigation.Ricardo CortezRICARDO CORTEZ received a B.A. in mathematics and a B.S. in mechanical engineering from Arizona State University. He earned a Ph.D. in applied mathematics from the University of California at Berkeley in 1995 and became an NSF postdoctoral fellow and Courant Instructor at New York University. He joined the faculty at Tulane University in 1998, where he is the Pendergraft William Larkin Duren Professor of Mathematics and director of the Center for Computational Science. Prof. Cortez was the 2012 recipient of the Blackwell-Tapia prize for significant contributions to research and for serving as a role model for mathematical scientists and students from underrepresented minority groups. His research interests include computational mathematics, mathematical biology, modeling, and secondary mathematics education.Lisa FauciLISA FAUCI received her Ph.D. in Mathematics from the Courant Institute of New York University, and then joined the Department of Mathematics at Tulane University in New Orleans, Louisiana. She enjoys working with students and postdocs on problems in biological fluid dynamics and scientific computing.