Current biological research demands the extensive use of sophisticated mathematical methods and computer-aided analysis of experiments and data. This highly interdisciplinary volume focuses on structural, dynamical and functional aspects of cellular systems and presents corresponding experiments and mathematical models. The book may serve as an introduction for biologists, mathematicians and physicists to key questions in cellular systems which can be studied with mathematical models. Recent model approaches are presented with applications in cellular metabolism, intra- and intercellular...

In the context of network theory, Complex networks can be de?ned as a collection of nodes connected by edges representing various complex int- actions among the nodes. Almost any large-scale system, be it natural or man-made, can be viewed as a complex network of interacting entities, which is dynamically evolving over time. Naturally occurring networks include - ological, ecological and social networks (e. g., metabolic networks, gene r- ulatory networks, protein interaction networks, signaling networks, epidemic networks, food webs, scienti?c collaboration networks and acquaintance n-...

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.

Das Wort Chaos ist heute in vieler Munde. Eine Fulle von Buchern, Fernsehsendungen sowie Artikelserien befriedigt die Nachfrage einer breiten Offentlichkeit nach Erkenntnissen der noch jungen Chaostheo rie. Das Verbluffende und sicher einer der Hauptgrunde fur das grosse allgemeine Interesse an dieser Theorie ist, dass viele ihrer Erkenntnis se intuitiv und mit einfachsten Hilfsmitteln erfahrbar zu sein scheinen. So kann man beim Einschenken einer Kaffeetasse die Entstehung chao tischer Stromungen beobachten, deren Prinzipien sich an jedem Perso nalcomputer simulieren lassen. Die kreative...

Current biological research demands the extensive use of sophisticated mathematical methods and computer-aided analysis of experiments and data. This highly interdisciplinary volume focuses on structural, dynamical and functional aspects of cellular systems and presents corresponding experiments and mathematical models. The book may serve as an introduction for biologists, mathematicians and physicists to key questions in cellular systems which can be studied with mathematical models. Recent model approaches are presented with applications in cellular metabolism, intra- and intercellular...

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...