State Point Forcing Permits Validation of Fixed Point Locations During Chaotic Epileptic Bursting in the Rat Brain

D. J. Mogul*, M. W. Slutzky, P. Cvitanovic

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

In attempting to manipulate epileptiform bursting in the rat brain, one approach is to apply nonlinear chaos control techniques to alter this spontaneous electrical activity. A key element to implementing this technique is identification of unstable periodic orbits (UPOs), especially period-1 orbits and the location of fixed points within state space around which the bursting can be manipulated. However, experimental factors such as physiological noise and system non-stationarity have the potential to make the accuracy of fixed point location prone to inaccuracy. We developed a technique known as state point forcing in which we statistically compare the temporal evolution of a system state brought close to the postulated fixed point relative to other locations chosen within state space. This technique verified that our calculations of UPO location during spontaneous bursting in rat hippocampus were functionally accurate.

Original languageEnglish (US)
Pages (from-to)1921-1924
Number of pages4
JournalAnnual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
Volume2
StatePublished - 2003
EventA New Beginning for Human Health: Proceddings of the 25th Annual International Conference of the IEEE Engineering in Medicine and Biology Society - Cancun, Mexico
Duration: Sep 17 2003Sep 21 2003

Keywords

  • Chaos control
  • Epilepsy
  • Hippocampus
  • Nonlinear

ASJC Scopus subject areas

  • Signal Processing
  • Biomedical Engineering
  • Computer Vision and Pattern Recognition
  • Health Informatics

Fingerprint Dive into the research topics of 'State Point Forcing Permits Validation of Fixed Point Locations During Chaotic Epileptic Bursting in the Rat Brain'. Together they form a unique fingerprint.

Cite this