Analysis of a model for epilepsy : application of a max-type difference equation to mesial temporal lobe epilepsy
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書誌事項
Analysis of a model for epilepsy : application of a max-type difference equation to mesial temporal lobe epilepsy
（Monographs and research notes in mathematics）（A Chapman & Hall book）
CRC Press, 2022
- : hbk
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注記
Includes bibliographical references (p. 151-155) and index
内容説明・目次
内容説明
* Suitable for researchers in mathematical neuroscience and potentially as supplementary reading for postgraduate students
* Thoroughly researched and replete with references.
目次
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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