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  • 1. Corey Klein & Nicole Sztokman College of Charleston Charleston, SC
  • 2.
    • Cathy Morris & Harold Lecar (1981) [1]
    • Giant muscle fiber [1]
    • Two dimensional reduced excitation model [1]
    • Type 1 cell which fires in response to scale-free depolarizing stimuli [5]
  • 3.
    • “ random or irregular fluctuations or disturbances which are not part of a signal […] or which interfere with or obscure a signal or more generally any distortions or additions which interfere with the transfer of information” [2]
    • Sig = sigma or standard deviation of the external Gaussian noise
    • Karl Friedrich Gauss [4]
  • 4.
    • Faisal, Selen, and Wolpert: Noise in the nervous system [2]
      • Random disturbances of signals
      • noise is introduced at all stages of the sensorimotor loop, from the level of a single signalling protein to that of body movement
    • Noise in Hodgkin-Huxley model [3
      • noise-induced changes in the rhythmic firing activity
      • type 2 excitability
      • noise does not always have an excitatory or positive effect
      • can lead to inhibitory or negative effects
  • 5.
    • Impact of noise level on average firing period
    • Determine whether the cells burst
  • 6.
    • Morris-Lecar code: Dr. Oprisan
    • Iapp is constant (50)
    • Sig = 0, 10, 20, 30, etc. to 90
    • Measured time intervals between peaks (ms)
    • Averaged intervals and obtained standard deviations
    • Excel was used to calculate the averages, standard deviations, and to plot the graphs
    • Snapshots of XPP were taken with CaptureMe Photos
  • 7.
    • 45.4049 ms
  • 8.
    • 36.1751 ms
  • 9.
    • 28.4045 ms
  • 10.
    • 16.2434 ms
  • 11.
    • 1.7406 ms
  • 12.
    • 1.957 ms
  • 13.
    • 1.2139 ms
  • 14.
    • 0.9422 ms
  • 15.
    • 0.6866 ms
  • 16.
    • 0.9159 ms
  • 17.  
  • 18.  
  • 19.  
  • 20.
    • As noise level increases, the firing period decreases as does the standard deviation
    • Interestingly, the ratio of standard deviation to firing period increases with the increase in noise level.
    • In Neuroscience, linear relationships are both valuable and sought after. Plotting the ratio vs. noise results in a trend line that has a correlation coefficient = 80 %.
  • 21.
    • [1] http://www.scholarpedia.org/article/Morris-Lecar_model
    • [2] http://www.ncbi.nlm.nih.gov.nuncio.cofc.edu/pmc/articles/PMC2631351/?tool=pmcentrez&report=abstract
    • [3] http://www.ncbi.nlm.nih.gov.nuncio.cofc.edu/pmc/articles/PMC2727367/?tool=pmcentrez
    • [4] http://www.sfu.ca/sonic-studio/handbook/Gaussian_Noise.html
    • [5] http://arxiv.org/abs/0801.3963