Investigation of both power and coherence differences of brain lobes in two mathematical thinking tasks

The purpose of this study is to investigate in terms of power and coherence the differences between two mathematical tasks, number addition and number comparison. Firstly, the time-frequency maps of the EEG signals are computed and averaged over the different regions, frequency bands and subjects. Then the linear coherence of the EEG channels is estimated among the electrodes of the same region. The results are compared to resting case EEG and are found in accordance with previous studies. The power and coherence are combined in order to investigate whether the power increase or decrease within the task is correlated with coherence alterations in the brain regions. Also there is an attempt to compare the two mathematical tasks in terms of functionality, as it is reflected in power and synchronization measures of the EEG.

[1]  S. Micheloyannis,et al.  What does delta band tell us about cognitive processes: A mental calculation study , 2010, Neuroscience Letters.

[2]  ShouYan Wang,et al.  Exact confidence interval for magnitude-squared coherence estimates , 2004, IEEE Signal Processing Letters.

[3]  G Fein,et al.  Common reference coherence data are confounded by power and phase effects. , 1988, Electroencephalography and clinical neurophysiology.

[4]  Cornelis J. Stam,et al.  Neural networks involved in mathematical thinking: evidence from linear and non-linear analysis of electroencephalographic activity , 2005, Neuroscience Letters.

[5]  S. Makeig,et al.  Mining event-related brain dynamics , 2004, Trends in Cognitive Sciences.

[6]  M. Doppelmayr,et al.  Oscillatory EEG correlates of an implicit activation of multiplication facts in the number bisection task , 2010, Brain Research.

[7]  C. R. Mukundan,et al.  EEG power spectra differentiate positive and negative subgroups in neuroleptic-naive schizophrenia patients. , 2009, The Journal of neuropsychiatry and clinical neurosciences.

[8]  T. Fernández,et al.  EEG activation patterns during the performance of tasks involving different components of mental calculation. , 1995, Electroencephalography and clinical neurophysiology.

[9]  Kenneth J. Pope,et al.  Thinking activates EMG in scalp electrical recordings , 2008, Clinical Neurophysiology.

[10]  Study on EEG power and coherence in patients with mild cognitive impairment during working memory task , 2006, Journal of Zhejiang University SCIENCE B.

[11]  M. Farge.  Wavelet Transforms and their Applications to Turbulence , 1992 .

[12]  G. Pfurtscheller,et al.  How many people are able to operate an EEG-based brain-computer interface (BCI)? , 2003, IEEE Transactions on Neural Systems and Rehabilitation Engineering.

[13]  Glenn F. Wilson,et al.  Topographical changes in the ongoing EEG related to the difficulty of mental tasks , 2005, Brain Topography.

[14]  M. Rowan,et al.  Memory-related EEG power and coherence reductions in mild Alzheimer's disease. , 2003, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[15]  W. Klimesch.  EEG alpha and theta oscillations reflect cognitive and memory performance: a review and analysis , 1999, Brain Research Reviews.

[16]  Michalis Zervakis,et al.  Significant EEG Features Involved in Mathematical Reasoning: Evidence from Wavelet Analysis , 2006, Brain Topography.