Collective Motion in Biological Systems: Experimental Approaches Joint with Particle and Continuum Models
Author:
Publisher:
Published: 2012
Total Pages: 110
ISBN-13: 9780854039838
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Author:
Publisher:
Published: 2012
Total Pages: 110
ISBN-13: 9780854039838
DOWNLOAD EBOOKAuthor: Pawel Romanczuk
Publisher: Logos Verlag Berlin GmbH
Published: 2011
Total Pages: 160
ISBN-13: 383252990X
DOWNLOAD EBOOKRecently, there has been an increasing focus on various biological and physical systems known as "active matter". Examples of such systems range from individual units, such as motile cells or artificial self-propelled particles, to large systems of interacting active particles or individuals. The emergence of large-scale collective motion, as exhibited by flocks of birds or bacterial colonies, is just one prominent and fascinating example of self-organization in active matter systems. In this work, we discuss different individual-based models of active matter using the concept of active Brownian motion. The first part of this work explores the dynamical behavior of single active particles with a particular emphasis on the impact of so-called active fluctuations. The second part extends the scope of this study to interacting active Brownian particles and their collective behavior. First, a systematic derivation of kinetic equations for active Brownian particles with velocity alignment is presented. Further on, motivated by recent biological observations, a new type of "escape-pursuit" model of collective motion is introduced and successfully employed in modeling collective locust behavior.
Author: Hayley Elizabeth Louise Moore
Publisher:
Published: 2021
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Alexander Altland
Publisher: Cambridge University Press
Published: 2010-03-11
Total Pages: 785
ISBN-13: 0521769752
DOWNLOAD EBOOKThis 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.
Author: Giovanni Naldi
Publisher: Springer Science & Business Media
Published: 2010-08-12
Total Pages: 437
ISBN-13: 0817649468
DOWNLOAD EBOOKUsing 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.
Author:
Publisher:
Published: 1976
Total Pages: 610
ISBN-13:
DOWNLOAD EBOOKAuthor: Andreas Deutsch
Publisher: Birkhäuser
Published: 2018-03-09
Total Pages: 470
ISBN-13: 1489979808
DOWNLOAD EBOOKThis 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
Author: American Institute of Physics
Publisher:
Published: 1999
Total Pages: 984
ISBN-13: 9781563968877
DOWNLOAD EBOOKThis 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.
Author: Wolfgang Alt
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 336
ISBN-13: 303488916X
DOWNLOAD EBOOKAn 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.