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A new chaotic network model for epilepsy

Author

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  • Panahi, Shirin
  • Shirzadian, Touraj
  • Jalili, Mahdi
  • Jafari, Sajad

Abstract

Epilepsy is a prevalent neurological disorder with symptoms characterized by abnormal discharge in the brain. According to the classification of the International League Against Epilepsy (ILAE) Commission, temporal lobe epilepsy is the most common type of epilepsy accounting for the most cases of the disorder observed in patients. Electroencephalography (EEG) is the most common diagnostic tool for Epilepsy, by which abnormal electrical activity of the brain can be clearly seen. This paper uses chaos theory and proposes a new analytical mass model for temporal lobe Epilepsy. Chaotic behavior of the model indicates normal model, while its periodic behavior indicate epileptic mode of the brain. The proposed model includes a number of parameters for which a full bifurcation analysis is conducted. This fully characterizes different regimes of the model and allows studying how one can control the parameters to switch between different modes. The proposed model enables to effectively use advance chaos-based mathematical tools to get further insights on the underlying mechanisms of epilepsy.

Suggested Citation

  • Panahi, Shirin & Shirzadian, Touraj & Jalili, Mahdi & Jafari, Sajad, 2019. "A new chaotic network model for epilepsy," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 395-407.
    • Handle: RePEc:eee:apmaco:v:346:y:2019:i:c:p:395-407
    DOI: 10.1016/j.amc.2018.10.061
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    References listed on IDEAS

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    1. Rostami, Zahra & Pham, Viet-Thanh & Jafari, Sajad & Hadaeghi, Fatemeh & Ma, Jun, 2018. "Taking control of initiated propagating wave in a neuronal network using magnetic radiation," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 141-151.
    2. Rostami, Zahra & Rajagopal, Karthikeyan & Khalaf, Abdul Jalil M. & Jafari, Sajad & Perc, Matjaž & Slavinec, Mitja, 2018. "Wavefront-obstacle interactions and the initiation of reentry in excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1162-1173.
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    1. Borah, Manashita & Das, Debanita & Gayan, Antara & Fenton, Flavio & Cherry, Elizabeth, 2021. "Control and anticontrol of chaos in fractional-order models of Diabetes, HIV, Dengue, Migraine, Parkinson's and Ebola virus diseases," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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