Phase Response Curves in Neuroscience

• Preface.- Part 1; Foundations of Phase Response Analysis.- Introduction to Part 1.- Chapter 1. The theory of weakly coupled oscillators.- Chapter 2. Phase resetting neural oscillators: Topological theory versus the real world.- Chapter 3. A theoretical framework for the dynamics of multiple intrinsic oscillators in single neurons.- Chapter 4. History of the application of the phase resetting curve to neurons coupled in a pulsatile manner.- Part 2; Estimation of Phase Response Curves.- Introduction to Part 2.- Chapter 5. Experimentally estimating phase response curves of neurons: Theoretical and practical issues.- Chapter 6. A geometric approach to phase resetting estimation based on mapping temporal to geometric phase.- Chapter 7. PRC estimation with varying width intervals.- Chapter 8. Bayesian approach to estimating phase response curves.- Part 3; Cellular Mechanisms of Neuronal Phase Response Properties.- Introduction to Part 3.- Chapter 9. Phase response curves to measure ion channel effects on neurons.- Chapter 10. Cellular mechanisms underlying spike-time reliability and stochastic synchronization: Insights and predictions from the phase-response curve.- Chapter 11. Recovery of stimuli encoded with a Hodgkin-Huxley neuron using conditional PRCs.- Chapter 12. Cholinergic neuromodulation controls PRC type in cortical pyramidal neurons.- Chapter 13. Continuum of type I somatic to type II dendritic PRCs; Simulatingin vitro and in vivo phase response properties of a morphologically reconstructed Globus Pallidus neuron model.- Part 4; Prediction of Network Activity with Phase Response Curves.- Introduction to Part4.- Chapter 14. Understanding activity in electrically coupled networks using PRCs and the theory of weakly coupled oscillators.- Chapter 15. The role of intrinsic cell properties in synchrony of neurons interacting via electrical synapses.- Chapter 16. A PRC description of how inhibitory feedback promotes oscillation stability.-Chapter 17. Existence and stability criteria for phase locked modes in ring networks using phase resetting curves and spike time resetting curves.- Chapter 18. Phase resetting curve analysis of global synchrony, the splay mode and clustering in N neuron all to all pulse-coupled networks.- Chapter 19.  Effects of the frequency dependence of phase response curves on network synchronization.- Chapter 20. Phase-resetting analysis of gamma-frequency synchronization of cortical fast-spiking interneurons using synaptic-like conductance injection.

From the book reviews: "This is a very good work on phase response neural modeling involving both single neuron and population neurons networks. Good descriptions of the cortical, subcortical, and brain stem networks is spendidly done and I highly recommend this book for both beginning and advanced physiologists. PRCs and the fourth dimensional models are well described. Students, fellows, and senior investigators will find it illuminating." (Joseph J. Grenier, Amazon.com, September, 2014)