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Multiscale Analysis and Nonlinear Dynamics [2013]

1
Introduction: Multiscale Analysis – Modeling, Data, Networks, and Nonlinear Dynamics
19
Modeling Across Scales: Discrete Geometric Structures in Homogenization and Inverse Homogenization
65
Multiresolution Analysis on Compact Riemannian Manifolds
83
Transcriptional Oscillators
113
Synthetic Biochemical Dynamic Circuits
147
Theoretical and Experimental Electrophysiology in Human Neocortex: Multiscale Dynamic Correlates of Conscious Experience
179
Multiscale Network Organization in the Human Brain
205
Neuronal Oscillations Scale Up and Scale Down Brain Dynamics
217
Linking Nonlinear Neural Dynamics to Single‐Trial Human Behavior
233
Brain Dynamics at Rest: How Structure Shapes Dynamics
245
Adaptive Multiscale Encoding: A Computational Function of Neuronal Synchronization
257
Multiscale Nonlinear Dynamics in Cardiac Electrophysiology: From Sparks to Sudden Death
277
Measures of Spike Train Synchrony: From Single Neurons to Populations
299
Index
i
Front Matter
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