**Contemporary Mathematics**

Volume: 628;
2014;
240 pp;
Softcover

MSC: Primary 76; 74; 35; 92; 62;

Print ISBN: 978-0-8218-9850-5

Product Code: CONM/628

List Price: $91.00

Individual Member Price: $72.80

**Electronic ISBN: 978-1-4704-2040-6
Product Code: CONM/628.E**

List Price: $91.00

Individual Member Price: $72.80

# Biological Fluid Dynamics: Modeling, Computations, and Applications

Share this page *Edited by *
*Anita T. Layton; Sarah D. Olson*

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.

#### Table of Contents

# Table of Contents

## Biological Fluid Dynamics: Modeling, Computations, and Applications

- Cover Cover11 free
- Title page iii4 free
- Contents v6 free
- Preface vii8 free
- Simulating Biofluid-Structure Interactions with an Immersed Boundary Framework –A Review 110 free
- The Development and Advances of the Immersed Finite Element Method 3746
- Simulating Mucociliary Transport Using the Method of Regularized Stokeslets 5968
- A Regularization Method for the Numerical Solution of Doubly-Periodic Stokes Flow 7382
- Dynamics of a primary cilium in time-periodic flows 91100
- Motion of Filaments with Planar and Helical Bending Waves in a Viscous Fluid 109118
- Numerical Study of Scaling Effects in Peristalsis and Dynamic Suction Pumping 129138
- Multi-Bond Models for Platelet Adhesion and Cohesion 149158
- Effects of Grouping Behavior, Pulse Timing, and Organism Size on Fluid Flow Around the Upside-Down Jellyfish Cassiopea xamachana 173182
- Impacts of Facilitated Urea Transporters on the Urine-Concentrating Mechanism in the Rat Kidney 191200
- Feedback-Mediated Dynamics in a Model of Coupled Nephrons with Compliant Short Loop of Henle 209218
- Back Cover Back Cover1250

#### Readership

Graduate students and research mathematicians interested in fluid dynamics in biology.