Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy
Macroscopic models of epilepsy can deliver surprisingly realistic EEG simulations. In the present study, a prolific series of models is evaluated with regard to theoretical and computational concerns, and enhancements are developed. Specifically, we analyze three aspects of the models: (1) Using dyn...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Scientifica |
| Online Access: | http://dx.doi.org/10.1155/2016/3628247 |
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| _version_ | 1832557010311184384 |
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| author | Christopher Fietkiewicz Kenneth A. Loparo |
| author_facet | Christopher Fietkiewicz Kenneth A. Loparo |
| author_sort | Christopher Fietkiewicz |
| collection | DOAJ |
| description | Macroscopic models of epilepsy can deliver surprisingly realistic EEG simulations. In the present study, a prolific series of models is evaluated with regard to theoretical and computational concerns, and enhancements are developed. Specifically, we analyze three aspects of the models: (1) Using dynamical systems analysis, we demonstrate and explain the presence of direct current potentials in the simulated EEG that were previously undocumented. (2) We explain how the system was not ideally formulated for numerical integration of stochastic differential equations. A reformulated system is developed to support proper methodology. (3) We explain an unreported contradiction in the published model specification regarding the use of a mathematical reduction method. We then use the method to reduce the number of equations and further improve the computational efficiency. The intent of our critique is to enhance the evolution of macroscopic modeling of epilepsy and assist others who wish to explore this exciting class of models further. |
| format | Article |
| id | doaj-art-3305ccd0a75f4b8088279050b6f14c63 |
| institution | Kabale University |
| issn | 2090-908X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Scientifica |
| spelling | doaj-art-3305ccd0a75f4b8088279050b6f14c632025-02-03T05:43:49ZengWileyScientifica2090-908X2016-01-01201610.1155/2016/36282473628247Analysis and Enhancements of a Prolific Macroscopic Model of EpilepsyChristopher Fietkiewicz0Kenneth A. Loparo1Electrical Engineering and Computer Science Department, Case Western Reserve University, Cleveland, OH 44106, USAElectrical Engineering and Computer Science Department, Case Western Reserve University, Cleveland, OH 44106, USAMacroscopic models of epilepsy can deliver surprisingly realistic EEG simulations. In the present study, a prolific series of models is evaluated with regard to theoretical and computational concerns, and enhancements are developed. Specifically, we analyze three aspects of the models: (1) Using dynamical systems analysis, we demonstrate and explain the presence of direct current potentials in the simulated EEG that were previously undocumented. (2) We explain how the system was not ideally formulated for numerical integration of stochastic differential equations. A reformulated system is developed to support proper methodology. (3) We explain an unreported contradiction in the published model specification regarding the use of a mathematical reduction method. We then use the method to reduce the number of equations and further improve the computational efficiency. The intent of our critique is to enhance the evolution of macroscopic modeling of epilepsy and assist others who wish to explore this exciting class of models further.http://dx.doi.org/10.1155/2016/3628247 |
| spellingShingle | Christopher Fietkiewicz Kenneth A. Loparo Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy Scientifica |
| title | Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy |
| title_full | Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy |
| title_fullStr | Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy |
| title_full_unstemmed | Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy |
| title_short | Analysis and Enhancements of a Prolific Macroscopic Model of Epilepsy |
| title_sort | analysis and enhancements of a prolific macroscopic model of epilepsy |
| url | http://dx.doi.org/10.1155/2016/3628247 |
| work_keys_str_mv | AT christopherfietkiewicz analysisandenhancementsofaprolificmacroscopicmodelofepilepsy AT kennethaloparo analysisandenhancementsofaprolificmacroscopicmodelofepilepsy |