Computational Modeling in Biological Fluid Dynamics

1. Front Matter

   Pages i-x

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2. Fluid Mechanics of Ciliary Propulsion

   • John Blake

   Pages 1-51

3. The Role of Cyclic Nucleotide Pathways and Calmodulin in Ciliary Stimulation

   • Alex Braiman, Natalya Uzlaner, Zvi Priel

   Pages 53-64

4. A Numerical Method for Simulating Fast-Swimming Motions

   • Ricardo Cortez

   Pages 65-70

5. A Fluid-Structure Interaction Model of Ciliary Beating

   • Robert H. Dillon, Lisa J. Fauci

   Pages 71-79

6. Energetic Considerations of Ciliary Beating

   • Shay Gueron, Konstantin Levit-Gurevich

   Pages 81-96

7. Fluid Dynamics of Animal Appendages that Capture Molecules: Arthropod Olfactory Antennae

   • M. A. R. Koehl

   Pages 97-116

8. Cartesian Grid Methods for Fluid Flow in Complex Geometries

   • Randall J. Leveque, Donna Calhoun

   Pages 117-143

9. Computed Simulations of Ciliary and Flagellar Motility Using the Geometric Clutch Model can Replicate a Wide Variety of Experimental Conditions

   • Charles B. Lindemann

   Pages 145-165

10. A One-Dimensional Fluid Dynamic Model of the Systemic Arteries

    • Mette S. Olufsen

    Pages 167-187

11. Hydrodynamics of Liquid Capsules Enclosed by Elastic Membranes

    • C. Pozrikidis

    Pages 189-221

12. Unsteady Aerodynamics of Two Dimensional Insect Flight

    • Lisa J. Fauci, Shay Gueron

    Pages 223-236

13. Back Matter

    Pages 237-247

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This IMA Volume in Mathematics and its Applications COMPUTATIONAL MODELING IN BIOLOGICAL FLUID DYNAMICS is based on the proceedings of a very successful workshop with the same title. The workshop was an integral part of the September 1998 to June 1999 IMA program on "MATHEMATICS IN BIOLOGY." I would like to thank the organizing committee: Lisa J. Fauci of Tulane University and Shay Gueron of Technion - Israel Institute of Technology for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda­ tion (NSF), whose financial support of the IMA made the Mathematics in Biology program possible. Willard Miller, Jr., Professor and Director Institute for Mathematics and its Applications University of Minnesota 400 Lind Hall, 207 Church St. SE Minneapolis, MN 55455-0436 612-624-6066, FAX 612-626-7370 miller@ima.umn.edu World Wide Web: http://www.ima.umn.edu v PREFACE A unifying theme in biological fluid dynamics is the interaction of moving, elastic boundaries with a surrounding fluid. A complex dynami­ cal system describes the motion of red blood cells through the circulatory system, the movement of spermatazoa in the reproductive tract, cilia of microorganisms, or a heart pumping blood. The revolution in computa­ tional technology has allowed tremendous progress in the study of these previously intractable fluid-structure interaction problems.

• Biological Fluid Dynamics
• biological fluid
• biology
• fluid dynamics
• fluid mechanics
• mechanics
• fluid- and aerodynamics

• Department of Mathematics, Tulane University, New Orleans, USA

  Lisa J. Fauci

• Department of Mathematics, Technion—Israel Institute of Technology, Haifa, Israel

  Shay Gueron

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