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: 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.
Inhaltsverzeichnis
Fluid mechanics of ciliary propulsion. - The role of cyclic nucleotide pathways and calmodulin in ciliary stimulation. - A numerical method for simulating fast-swimming motions. - A fluid-structure interaction model of ciliary beating. - Energetic considerations of ciliary beating. - Fluid dynamics of animal appendages that capture molecules: Arthropod olfactory antennae. - Cartesian grid methods for fluid flow in complex geometries. - Computed simulations of ciliary and flagellar motility using the geometric clutch model can replicate a wide variety of experimental conditions. - A one-dimensional fluid dynamic model of the systemic arteries. - Hydrodynamics of liquid capsules enclosed by elastic membranes. - Unsteady aerodynamics of two dimensional insect flight. - List of workshop participants.
