Bifurcation control of a seizing human cortex.

نویسندگان

  • Mark A Kramer
  • Beth A Lopour
  • Heidi E Kirsch
  • Andrew J Szeri
چکیده

We consider as a mathematical model of human cortical electrical activity a system of fourteen ordinary differential equations. With appropriate parameters, the model produces activity characteristic of a seizure. To prevent such seizures, we incorporate feedback controllers into the model dynamics. We show that three controllers--a linear feedback controller, a differential controller, and a filter controller--can be used to eliminate seizing activity in the model system. We show how bifurcations induced by the linear controller alter those present in the original dynamics.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 73 4 Pt 1  شماره 

صفحات  -

تاریخ انتشار 2006