Biological Fluid Dynamics: Modeling, Computations, and Applications
About this Title
Anita T. Layton, Duke University, Durham, NC and Sarah D. Olson, Worcester Polytechnic Institute, Worcester, MA, Editors
Publication: Contemporary Mathematics
Publication Year 2014: Volume 628
ISBNs: 978-0-8218-9850-5 (print); 978-1-4704-2040-6 (online)
This volume contains the Proceedings of the AMS Special Session on Biological Fluid Dynamics: Modeling, Computations, and Applications, held on October 13, 2012, at Tulane University, New Orleans, Louisiana.
In recent years, there has been increasing interest in the development and application of advanced computational techniques for simulating fluid motion driven by immersed flexible structures. That interest is motivated, in large part, by the multitude of applications in physiology and biology. In some biological systems, fluid motion is driven by active biological tissues, which are typically constructed of fibers that are surrounded by fluid. Not only do the fibers hold the tissues together, they also transmit forces that ultimately result in fluid motion. In other examples, the fluid may flow through conduits such as blood vessels or airways that are flexible or active. That is, those conduits may react to and affect the fluid dynamics.
This volume responds to the widespread interest among mathematicians, biologists, and engineers in fluid-structure interactions problems. Included are expository and review articles in biological fluid dynamics. Applications that are considered include ciliary motion, upside-down jellyfish, biological feedback in the kidney, peristalsis and dynamic suction pumping, and platelet cohesion and adhesion.
Graduate students and research mathematicians interested in fluid dynamics in biology.
Table of Contents
- Sarah D. Olson and Anita T. Layton – Simulating Biofluid-Structure Interactions with an Immersed Boundary Framework – A Review
- Lucy T. Zhang, Chu Wang and Xingshi Wang – The Development and Advances of the Immersed Finite Element Method
- Kara J. Karpman – Simulating Mucociliary Transport Using the Method of Regularized Stokeslets
- Karin Leiderman, Elizabeth L. Bouzarth and Hoang-Ngan Nguyen – A Regularization Method for the Numerical Solution of Doubly-Periodic Stokes Flow
- Y.-N. Young – Dynamics of a primary cilium in time-periodic flows
- Sarah D. Olson – Motion of Filaments with Planar and Helical Bending Waves in a Viscous Fluid
- A. Baird, T. King and L. A. Miller – Numerical Study of Scaling Effects in Peristalsis and Dynamic Suction Pumping
- Tyler Skorczewski, Boyce E. Griffith and Aaron L. Fogelson – Multi-Bond Models for Platelet Adhesion and Cohesion
- C. L. Hamlet and L. A. Miller – Effects of Grouping Behavior, Pulse Timing, and Organism Size on Fluid Flow Around the Upside-Down Jellyfish Cassiopea xamachana
- Anita T. Layton – Impacts of Facilitated Urea Transporters on the Urine-Concentrating Mechanism in the Rat Kidney
- Hwayeon Ryu and Anita T. Layton – Feedback-Mediated Dynamics in a Model of Coupled Nephrons with Compliant Short Loop of Henle