Analysis of a Model for Epilepsy
portes grátis
Analysis of a Model for Epilepsy
Application of a Max-Type Di?erence Equation to Mesial Temporal Lobe Epilepsy
Kent, Candace M.; Chan, David M.
Taylor & Francis Ltd
06/2022
160
Dura
Inglês
9781032255385
15 a 20 dias
480
Descrição não disponível.
1. Introduction: Epilepsy. 1.1. Brief Overview. 1.2. Mesial Temporal Lobe Epilepsy and Other Examples. 2. The Model. 2.1. Model Description. 2.2. Connection to a Simpler Model. 2.3. Connection Between the Model and Epileptic Seizures. 2.4. Open Problem: Seizure Threshold as a Function of Time. 3. Eventual Periodicity of the Model. 3.1. Bounded and Persistent Solutions. 3.2. Eventually Periodic Solutions with Periods Multiples of Six. 3.3. Eventually Periodic Solutions with Period 4. 3.4. Partially and Completely Seizure-Free States. 4. Rippled Almost Periodic Solutions. 4.1. Rippled Behaviour. 4.2. Rippled Almost Periodic Solutions. 4.3. Lyapunov Exponent. 4.4. The State of Status Epilepticus. 4.5. On Termination of Repetition. 5. Numerical Results and Biological Conclusions. 5.1. Bifurcation Diagrams. 5.2. Variability in Seizure Characteristics. 5.3. A Case of Variability in Region 1. 5.4. The Hyperexcitable State. 5.5. Impact of Individual Historical Differences. 6. Epilogue
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Mathematical Neuroscience;Mathematical modelling;Mathematical biology;Applied mathematics;Epileptic;Mesial Temporal Lobe Epilepsy;Interictal Phase;Metabotropic Glutamate Receptors;Hippocampal Sclerosis;Simple Partial Seizures;Ictal Phase;Positive Periodic Sequences;Seizure Free State;Bifurcation Diagram;Occipital Lobe Epilepsy;Neocortical Temporal Lobe Epilepsy;Bifurcation Values;Frontal Lobe Epilepsy;Temporal Lobe Epilepsy;Seizure Characteristics;Satisfying Hypotheses;Time Series Plot;Periodic Behavior;Metabotropic Glutamate Receptors Types;Complex Partial Seizures;Positive Semicycle;Parietal Lobe Epilepsy;Infinite String;Strictly Decreasing;Seizures Originating
1. Introduction: Epilepsy. 1.1. Brief Overview. 1.2. Mesial Temporal Lobe Epilepsy and Other Examples. 2. The Model. 2.1. Model Description. 2.2. Connection to a Simpler Model. 2.3. Connection Between the Model and Epileptic Seizures. 2.4. Open Problem: Seizure Threshold as a Function of Time. 3. Eventual Periodicity of the Model. 3.1. Bounded and Persistent Solutions. 3.2. Eventually Periodic Solutions with Periods Multiples of Six. 3.3. Eventually Periodic Solutions with Period 4. 3.4. Partially and Completely Seizure-Free States. 4. Rippled Almost Periodic Solutions. 4.1. Rippled Behaviour. 4.2. Rippled Almost Periodic Solutions. 4.3. Lyapunov Exponent. 4.4. The State of Status Epilepticus. 4.5. On Termination of Repetition. 5. Numerical Results and Biological Conclusions. 5.1. Bifurcation Diagrams. 5.2. Variability in Seizure Characteristics. 5.3. A Case of Variability in Region 1. 5.4. The Hyperexcitable State. 5.5. Impact of Individual Historical Differences. 6. Epilogue
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Mathematical Neuroscience;Mathematical modelling;Mathematical biology;Applied mathematics;Epileptic;Mesial Temporal Lobe Epilepsy;Interictal Phase;Metabotropic Glutamate Receptors;Hippocampal Sclerosis;Simple Partial Seizures;Ictal Phase;Positive Periodic Sequences;Seizure Free State;Bifurcation Diagram;Occipital Lobe Epilepsy;Neocortical Temporal Lobe Epilepsy;Bifurcation Values;Frontal Lobe Epilepsy;Temporal Lobe Epilepsy;Seizure Characteristics;Satisfying Hypotheses;Time Series Plot;Periodic Behavior;Metabotropic Glutamate Receptors Types;Complex Partial Seizures;Positive Semicycle;Parietal Lobe Epilepsy;Infinite String;Strictly Decreasing;Seizures Originating
