Multiscale Analysis and Nonlinear Dynamics: From Genes to the Brain
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.
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Synthetic Biochemical Dynamic Circuits
Nonlinear Dynamics the Brain
Computational Functionof Neuronal Synchronization 11 1 Introduction 11 2 SomeBasic
Linking NonlinearNeural DynamicstoSingle Trial Human Behavior
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Acad action potential activity analysis approximation axons bandlimited behavior Biol boundary brain dynamics brain networks Bullmore canbe cerebral cortex chemical systems circuits cognitive complex Comput conductivity convex convex functions correlations cortex cortical coupling defined Delaunay triangulation discrete divergencefree electrical impedance tomography electroencephalography equation example experimental feedback Figure fMRI frequency functional connectivity gamma genelet global harmonic coordinates homogenization human brain input interactions interpolation inthe inverse isotropic largescale linear manifolds mathematical matrix mechanism methods modularity modules molecular multiple multiresolution multiresolution analysis multiscale Natl neocortex neocortical neural Neuroimage neuronal Neurosci nodes nonlinear observed ofthe operator optimization organization oscillations oscillatory parameterization parameters phase Phys potentials problem Proc processes properties receptive fields Riemannian manifolds scales signal simulations smallworld SMNI solution space spatial specific spike trains stochastic structure switch synaptic synchronization synthetic Systems Biology temporal Theorem topological tothe transcriptional variable vector vitro wavelet waves weighted Delaunay triangulations