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Computational Modeling in Biological Fluid Dynamics
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 Mille...
Towards Higher Categories
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory ex...
Fluid Dynamics in Biology
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.
Nonlinear Conservation Laws and Applications
This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13--31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of one-dimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of vis...
Cilia, Mucus, and Mucociliary Interactions
Written by nearly 60 of the world's leading investigators in this rapidly expanding field, this state-of-the-art reference furnishes detailed presentations on the basic science and clinical aspects of cilia, mucus, and mucociliary interactions. Providing stimulating coverage of the latest information in a single source, Cilia, Mucus, and Mucociliary Interactions discusses the genetic determinants of mucociliary system structure and function explains ciliary wave activity in cell-cell communication elucidates many of the key physiological processes in ciliary regulation reveals possible means of treating irregularities in mucus secretion and clearance improves understanding of clinical syndro...
Anthony Fauci
In Fauci: Leading Through Crisis delves into the riveting journey of Dr. Anthony Fauci, a figure whose name has become synonymous with leadership, resilience, and the pursuit of truth in the face of adversity. From his humble beginnings in Brooklyn to his unparalleled impact on global health, this biography uncovers the extraordinary life of a man who has dedicated himself to the relentless pursuit of scientific advancement and the protection of public health. With meticulous research and compelling storytelling, readers are transported through Fauci's early days as a medical student grappling with the challenges of infectious diseases to his pivotal role as the nation's leading expert durin...
Biological Fluid Dynamics: Modeling, Computations, and Applications
This volume contains the Proceedings of the AMS Special Session on Biological Fluid Dynamics: Modeling, Computation, 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 toget...
Mathematical Reviews
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