| Roadmap | p. XVII |
| Medically Intractable Epilepsy | p. 1 |
| Temporal Lobe Epilepsy | p. 1 |
| Prevalence of MIE | p. 2 |
| The Evolving Epileptic Syndrome | p. 4 |
| Lesional Epilepsy | p. 5 |
| Do Seizures Begat Seizures? | p. 6 |
| Neuronal Re-organization | p. 7 |
| Epilepsy as a Learning Disorder | p. 11 |
| Dynamical Aspects of Epilepsy | p. 13 |
| Conclusions | p. 14 |
| Insights into Seizure Propagation from Axonal Conduction Times | p. 15 |
| Axonal Conduction Velocities | p. 16 |
| Unmyelinated Axons (Path 1) | p. 16 |
| Myelinated Axons (Path 2) | p. 17 |
| Human Seizure Propagation Rates | p. 19 |
| Sub-cortical Mediated Spread (Path 3) | p. 21 |
| Discussion | p. 22 |
| Dynamic Epileptic Systems Versus Static Epileptic Foci? | p. 5 |
| Failures of Epilepsy Surgery | p. 25 |
| Dynamic Epileptic Systems | p. 26 |
| Amygdalo-Hippocampal Interactions | p. 28 |
| Propagation Pathways | p. 30 |
| Extratemporal Seizure Propagation | p. 32 |
| Inhibitory Mechanisms | p. 34 |
| Conclusion | p. 35 |
| Neuroglia, the Other Brain Cells | p. 37 |
| Voltage-gated Na[superscript +] Channels in Astrocytes and Action Potentials | p. 38 |
| Calcium Signaling in Glial Cells | p. 39 |
| Cluster Decomposition and Cluster Entropy of Ca[superscript 2+] Waves | p. 42 |
| Calcium Signaling in Hyperexcitable Tissues | p. 44 |
| Cultures of Human Nervous Tissue | p. 45 |
| Neuron-Glial Signaling | p. 47 |
| Conclusions | p. 49 |
| The Electroencephalogram (EEG): A Measure of Neural Synchrony | p. 51 |
| Cortical Architecture | p. 51 |
| Laminar Organization | p. 51 |
| Columnar Organization | p. 53 |
| Generation of the EEG | p. 54 |
| Neuronal Dipole Layers | p. 56 |
| Role of Glial Cells | p. 57 |
| Epileptic Spikes | p. 57 |
| Seizures | p. 60 |
| Ictal EEG Patterns | p. 62 |
| Limitations of the EEG | p. 64 |
| Concluding Remarks | p. 67 |
| Electrocorticographic Coherence Patterns of Epileptic Seizures | p. 69 |
| Lateral Coherence | p. 69 |
| ECoG Recordings | p. 71 |
| Ictal Coherence | p. 71 |
| Interictal Coherence | p. 76 |
| Synchronization of Synaptically-Coupled Neural Oscillators | p. 83 |
| Neural Oscillator Models | p. 88 |
| Conductance-based Models | p. 88 |
| Class I and Class II Excitability | p. 90 |
| Phase Resetting Curves | p. 92 |
| Periodic Forcing: Frequency-locking, Phase-locking and Synchronization | p. 93 |
| Integrate-and-fire Model | p. 96 |
| Mutual Synchronization in a Network of Synaptically Coupled Oscillators | p. 97 |
| Network Model with Synaptic Coupling | p. 97 |
| Synchronization in the Weak Coupling Regime | p. 99 |
| Synchronization in the Strong Coupling Regime | p. 105 |
| Synaptically Generated Traveling Waves | p. 110 |
| Controlling Neural Synchrony with Periodic and Aperiodic Stimuli | p. 115 |
| Arnold Tongue Diagrams | p. 116 |
| Entrainment Versus Synchrony | p. 117 |
| Synaptic Inputs | p. 118 |
| Epileptic Hippocampal Slices | p. 119 |
| Aperiodic Current Inputs | p. 121 |
| Rate-dependent Control of Neural Synchrony | p. 123 |
| Inhibitory Control of Neural Synchrony | p. 124 |
| Periodically Stimulated Inhibitory Networks | p. 127 |
| Discussion | p. 129 |
| Modeling Pattern Formation in Excitable Media: The Legacy of Norbert Wiener | p. 131 |
| Excitable Media | p. 132 |
| Spiral Waves Around Obstacles | p. 134 |
| Free Spiral Waves | p. 136 |
| Kinematics of Curved Waves with Open Ends | p. 142 |
| Complex Anisotropy | p. 145 |
| Resonances | p. 148 |
| Meandering | p. 154 |
| Fibrillation and Turbulence | p. 159 |
| Conclusions | p. 163 |
| Are Cardiac Waves Relevant to Epileptic Wave Propagation? | p. 165 |
| Introduction | p. 165 |
| Different Molecular Mechanisms of Propagation | p. 166 |
| Electrical Propagation Between Adjacent Cells | p. 168 |
| Chemical Propagation Between Adjacent Cells | p. 175 |
| Electrical Propagation in the Long-Range Fast-lane | p. 176 |
| An Alternative Description of Propagation in Complex Media | p. 178 |
| Electrical Stimulation of Excitable Tissues | p. 186 |
| Pattern Formation in the Microbial World: Dictyostelium Discoideum | p. 189 |
| Spiral Waves and Aggregation | p. 189 |
| Wavefield Evolution | p. 194 |
| Cell Streaming and Mound Formation | p. 199 |
| Cell Sorting and Tip Formation | p. 206 |
| Reprise | p. 210 |
| Predicting Epileptic Seizures | p. 213 |
| Empiricism and Theory | p. 214 |
| Predicting Seizures | p. 216 |
| Simple Nonlinear Measures | p. 218 |
| Role of Non-stationarity and Non-autonomy | p. 223 |
| Non-autonomy and the Metaphase Space | p. 225 |
| Nonautonomy in Temporal Lobe Epilepsy | p. 227 |
| Conclusion | p. 232 |
| Prospective | p. 233 |
| Addendum | p. 235 |
| Comparison of Methods for Seizure Detection | p. 237 |
| Methods for Seizure Prediction | p. 238 |
| Power Spectrum | p. 238 |
| Cross-correlation | p. 239 |
| Principal Components Analysis | p. 239 |
| Wavelets | p. 240 |
| Phase Correlation | p. 240 |
| Correlation Dimension | p. 241 |
| Mutual Prediction | p. 242 |
| Comparison of Seizure Detection Methods | p. 242 |
| Discussion | p. 246 |
| Direct Deep Brain Stimulation: First Steps Towards the Feedback Control of Seizures | p. 249 |
| Background | p. 249 |
| Stimulation of the Caudate Nucleus | p. 249 |
| Stimulation of the Dentate Nucleus | p. 253 |
| Clinical Experience | p. 256 |
| Feedback Control of Deep Brain Stimulation | p. 257 |
| Comparisons of Therapeutic Effects of Brain Stimulation | p. 258 |
| Conclusion | p. 260 |
| Seizure Control Using Feedback and Electric Fields | p. 263 |
| Introduction | p. 263 |
| Electric Field Modulation of Neuronal Activity | p. 264 |
| History and Physics | p. 264 |
| Modulation with DC | p. 265 |
| Computational Confirmation of Modulation | p. 267 |
| Key Instrumentation and Experimental Methods | p. 269 |
| Measurement Technique | p. 269 |
| Application of an Electric Field | p. 269 |
| Feedback Control of In-vitro Seizure Activity | p. 271 |
| Feedback Algorithm | p. 271 |
| Field Characteristics | p. 271 |
| Overview of Control Phenomena | p. 272 |
| Seizure Suppression | p. 272 |
| Seizure Enhancement | p. 272 |
| Comparison of Parameters: a Single Experiment | p. 275 |
| Feedback Suppression | p. 275 |
| Suppression with Constant Field | p. 277 |
| Stimulation with Low-Frequency Noise | p. 277 |
| Positive Feedback Control | p. 278 |
| Release Phenomena | p. 279 |
| Results Summary | p. 279 |
| Discussion | p. 281 |
| Aborting Seizures with a Single Stimulus: The Case for Multistability | p. 283 |
| Delayed Recurrent Loops | p. 285 |
| Basins of Attraction | p. 289 |
| Noise-induced Switching | p. 290 |
| Statistical Periodicity | p. 291 |
| Conclusion | p. 294 |
| Unstable Periodic Orbits (UPOs) and Chaos Control in Neural Systems | p. 297 |
| Unstable Periodic Orbits | p. 298 |
| Locating UPOs | p. 299 |
| Direct Observation of UPOs | p. 299 |
| Topological Recurrence Method | p. 300 |
| Periodic Orbit Transform Method | p. 304 |
| Surrogate Analysis | p. 306 |
| UPOs: Applications to Biology | p. 311 |
| Canine Ventricular Fibrillation | p. 311 |
| Rat Brain Hippocampus | p. 313 |
| The Control of Chaos | p. 314 |
| Control of Chaos in Cardiac Tissue | p. 315 |
| Control of Chaos in Brain Tissue | p. 319 |
| Discussion | p. 321 |
| Prospects for Building a Therapeutic Cortical Stimulator | p. 323 |
| Cortical Stimulation as a Treatment Approach | p. 323 |
| Devices for Therapeutic Stimulation | p. 325 |
| The Input Stage: Detection of Seizure Onset | p. 328 |
| Recording Bioelectric Signals: FET vs. Metal Electrodes | p. 328 |
| Chemical Signals: Ion-selective Electrodes | p. 331 |
| Alternate Signals: Optical | p. 331 |
| Processing Stage | p. 332 |
| Output Stage | p. 333 |
| Electrical Stimulation: Mechanisms | p. 334 |
| Electrical Stimulation: Metal Electrodes | p. 335 |
| Chemical Stimulation: Micropumps | p. 336 |
| Power Supply: Battery vs. RF | p. 337 |
| Materials and Packaging | p. 337 |
| Closing and Speculation | p. 338 |
| Brain Defibrillators: Synopsis, Problems and Future Directions | p. 341 |
| Brain Defibrillator or Fibrillator? | p. 341 |
| What to Treat: Seizures or Spikes? | p. 342 |
| Seizure Prediction | p. 343 |
| Sudden Changes in Neural Dynamics | p. 344 |
| The Case for Brief Stimuli | p. 344 |
| Changing Neural Synchrony | p. 346 |
| Controlling Waves of Neural Activity | p. 346 |
| Electrical Versus Chemical Stimuli | p. 347 |
| Where to Deliver the Stimulus? | p. 348 |
| Linear Versus Nonlinear Methods | p. 349 |
| Problems | p. 350 |
| Methodological Woes | p. 350 |
| Measurement Guided Mathematical Models | p. 350 |
| Stage of Patient's Epileptic Syndrome | p. 351 |
| Animal Models | p. 351 |
| Conclusion | p. 351 |
| Color Plates | p. 353 |
| References | p. 373 |
| Index | p. 411 |
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