Condensed Matter Field Theory

Condensed Matter Field Theory

Author: Alexander Altland

Publisher: Cambridge University Press

Published: 2010-03-11

Total Pages: 785

ISBN-13: 0521769752

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This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.


Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Author: Giovanni Naldi

Publisher: Springer Science & Business Media

Published: 2010-08-12

Total Pages: 437

ISBN-13: 0817649468

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Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.


Cellular Automaton Modeling of Biological Pattern Formation

Cellular Automaton Modeling of Biological Pattern Formation

Author: Andreas Deutsch

Publisher: Birkhäuser

Published: 2018-03-09

Total Pages: 470

ISBN-13: 1489979808

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This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews


Dynamics of Cell and Tissue Motion

Dynamics of Cell and Tissue Motion

Author: Wolfgang Alt

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 336

ISBN-13: 303488916X

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An interdisciplinary study explaining the dynamics underlying biological motion – one of the most obvious expressions of self-organization. Designed for a broad audience from bioscientists to applied mathematicians, this book considers possible synergetic mechanisms of interaction and cooperation on different microscopic levels.


2000 Graduate Programs in Physics, Astronomy, and Related Fields

2000 Graduate Programs in Physics, Astronomy, and Related Fields

Author: American Institute of Physics

Publisher:

Published: 1999

Total Pages: 984

ISBN-13: 9781563968877

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This comprehensive compendium provides information on nearly every US doctoral program in physics and astronomy, plus data on most major master's programmes in these fields. Information on many major Canadian programmes is also included. In addition, the Graduate Programs directory lists a substantial number of related-field departments, including materials science, electrical and nuclear engineering, meteorology, medical and chemical physics, geophysics, and oceanography. This 24th annual edition contains information valuable to students planning graduate study and faculty advisors, including each programme's research expenditures and sources of support. A number of helpful appendices make navigating the directory a simple task.


Introductory Biomechanics

Introductory Biomechanics

Author: C. Ross Ethier

Publisher: Cambridge University Press

Published: 2007-03-12

Total Pages: 10

ISBN-13: 1139461826

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Introductory Biomechanics is a new, integrated text written specifically for engineering students. It provides a broad overview of this important branch of the rapidly growing field of bioengineering. A wide selection of topics is presented, ranging from the mechanics of single cells to the dynamics of human movement. No prior biological knowledge is assumed and in each chapter, the relevant anatomy and physiology are first described. The biological system is then analyzed from a mechanical viewpoint by reducing it to its essential elements, using the laws of mechanics and then tying mechanical insights back to biological function. This integrated approach provides students with a deeper understanding of both the mechanics and the biology than from qualitative study alone. The text is supported by a wealth of illustrations, tables and examples, a large selection of suitable problems and hundreds of current references, making it an essential textbook for any biomechanics course.