Since modeling multiscale phenomena in systems biology and neuroscience is a highly interdisciplinary
task, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience,
computer science, and applied mathematics, to provide their perspectives.
Each chapter is a window into the current state of the art in the areas of research discussed and the book is intended for advanced researchers interested in recent developments in these fields. While multiscale
analysis is the major integrating theme of the book, its subtitle does not call for bridging the
scales from genes to behavior, but rather stresses the unifying perspective offered by the concepts
referred to in the title.
It is believed that the interdisciplinary approach adopted here will be beneficial for all the above mentioned fields.
task, the editor of the book invited experts in bio-engineering, chemistry, cardiology, neuroscience,
computer science, and applied mathematics, to provide their perspectives.
Each chapter is a window into the current state of the art in the areas of research discussed and the book is intended for advanced researchers interested in recent developments in these fields. While multiscale
analysis is the major integrating theme of the book, its subtitle does not call for bridging the
scales from genes to behavior, but rather stresses the unifying perspective offered by the concepts
referred to in the title.
It is believed that the interdisciplinary approach adopted here will be beneficial for all the above mentioned fields.
Table of Contents
Introduction -Multiscale Analysis: Modeling, Data, Networks, and Dynamics
I. MULTIRESOLUTION ANALYSIS
Mathieu Desbrun, Roger D. Donaldson, Houman Owhadi: Discrete Geometric Structures in Homogenization and Inverse Homogenization
Isaac Z. Pesenson: Multiresolution Analysis on Compact Riemannian Manifolds
II. NONLINEAR DYNAMICS of TRANSCRIPTION NETWORKS and SYNTHETIC BIOCHEMICAL CIRCUITS
Elisa Franco, Jongmin Kim, Friedrich Simmel: Dynamics of synthetic transcription networks
Raphaël Plasson, Yannick Rondelez: Synthetic biochemical dynamic circuits
III. NONLINEAR DYNAMICS: THE BRAIN AND THE HEART
Paul L. Nunez, Ramesh Srinivasan, Lester Ingber: Theoretical and experimental electrophysiology in human neocortex: multiscale dynamic correlates of conscious experience
Danielle S. Bassett, Felix Siebenhühner: Multiscale network organization in the human brain
Michel Le Van Quyen, Vicente Botella-Soler, Mario Valderrama: Neuronal oscillations scale up and scale down the brain dynamics
Michael X. Cohen, Bradley Voytek: Linking nonlinear neural dynamics to single-trial human behavior
Etienne Hugues, Juan R. Vidal, Jean-Philippe Lachaux, Gustavo Deco: Brain dynamics at rest: how structure shapes dynamics
Misha Z. Pesenson: Adaptive multiscale encoding - a computational function of neuronal synchronization
Zhilin Qu, Michael Nivala: Multi-scale nonlinear dynamics in cardiac electrophysiology: from sparks to sudden death
Connor Houghton, Thomas Kreuz: Measures of spike train synchrony: from single neurons to populations
