This volume contains nearly all the papers presented at the AMS-IMS-SIAM Joint Summer Research Conference on Biofluiddynamics, held in July 1991, at the University of Washington, Seattle. The lead paper, by Sir James Lighthill, presents a comprehensive review of external flows in biology. The other papers on external and internal flows illuminate developments in the protean field of biofluiddynamics from diverse viewpoints, reflecting the field's multidisciplinary nature. For this reason, the work should be useful to mathematicians, biologists, engineers, physiologists, cardiologists and oceanographers alike. The papers highlight a number of problems that have remained largely unexplored due to the difficulty of addressing biological flow motions, which are often governed by large systems of nonlinear differential equations and involve complex geometries. However, recent advances in computational fluid dynamics have expanded opportunities to solve such problems. These developments have increased interest in areas such as the mechanisms of blood and air flow in humans, the dynamic ecology of the oceans, animal swimming and flight, to name a few.

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.

A pedagogical review of the mathematical modelling in fluid dynamics necessary to understand the motility of most microorganisms on Earth.

This text provides the reader with tools necessary to study biological and bio-inspired flows, all the while developing an appreciation for their evolutionary and engineering constraints. It is suitable for students already exposed to introductory concepts in fluid mechanics and applied mechanics as a whole, but who would not need an advanced training in fluid mechanics per se. Currently no textbook exists that can take students from an introductory position in fluid mechanics to these contemporary topics of interest. The book is ideal for upper-level undergraduates and graduate students studying a range of engineering domains as well as biology, or even medicine.

Showing marine ecologists, oceanographers and marine engineers how ocean waters interact with, influence and constrain life in the ocean, this package makes the physical processes intelligible to biologists with a modicum of mathematics. Part I of the book examines classical fluid mechanics such as laminar and turbulent flow, boundary layers, and forces induced by flow. Part II deals with large-scale flows, such as waves, large ocean currents, and tides, which are beyond the scope of classic fluid mechanics. In Part III, the link between hydrodynamics of ocean flows and marine ecology is demonstrated by examples of well-established phenomena and processes. The CD-ROM contains 12 ready-to-use computer programs on the calculation, representation and simulation of various processes.

The idea of preparing this volume originated from the ever increasing importance of computational modelling of complex problems in medicine. Considerable advances have been made in this area as demonstrated by the continued success of the International Conference on Modelling in Medicine and Biology organised by the Wessex Institute of Technology.The work reported at those meetings and the research carried out at the Wessex Institute of Technology indicated the increasing interaction and collaboration between medical and engineering scientists. Advances presented at these conferences are now being used in practice for a wide range of medical and surgical applications.The considerable improvements and evolution of the field has led to some of the best scientists, who have participated in our conferences, to write an article on their most recent research. This has led to thirteen outstanding articles published in this volume which encompass important areas of biomedical modelling.

Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

A valuable new reference on insect behavior, this exceptional new text delves into the primary sensory communication system used by most insects -- their sense of smell. Insect Pheromone Biochemistry and Molecular Biology covers how insects produce pheromones and how they detect pheromones and plant volatiles. Since insects rely on pheromone detection for both feeding and breeding, a better understanding of insect olfaction and pheromone biosynthesis could help curb the behavior of pests without the use of harmful pesticides and even help to reduce the socio-economic impacts associated to human-insect interactions. - Covers biochemistry and molecular biology of insect pheromone production - Explains pheromone production in moths, beetles, flies, and social insects - Describes pheromone and plant volatile reception

This text bridges the gap between introductory physics and its application to the life sciences. It is intended for advanced undergraduates and beginning graduate students. The Fourth Edition is updated to include new findings, discussion of stochastic processes and expanded coverage of anatomy and biology. The text includes many problems to test the student's understanding, and chapters include useful bibliographies for further reading. Its minimal prerequisites and wide coverage make it ideal for self-study. The fourth edition is updated throughout to reflect new developments.

Modern Fluid Dynamics, Second Edition provides up-to-date coverage of intermediate and advanced fluids topics. The text emphasizes fundamentals and applications, supported by worked examples and case studies. Scale analysis, non-Newtonian fluid flow, surface coating, convection heat transfer, lubrication, fluid-particle dynamics, microfluidics, entropy generation, and fluid-structure interactions are among the topics covered. Part A presents fluids principles, and prepares readers for the applications of fluid dynamics covered in Part B, which includes computer simulations and project writing. A review of the engineering math needed for fluid dynamics is included in an appendix.