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Article
Peer-Review Record

Nervous Activity of the Brain in Five Dimensions

by Arturo Tozzi 1,*, James F. Peters 2,3, Norbert Jausovec 4, Arjuna P. H. Don 5, Sheela Ramanna 6, Irina Legchenkova 7 and Edward Bormashenko 7
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Submission received: 11 January 2021 / Revised: 9 February 2021 / Accepted: 18 February 2021 / Published: 22 February 2021

Round 1

Reviewer 1 Report

This paper presents an interesting brain activity model that instead of using a 3D plus time space switches to a 4D plus time space to highlight phenomena not detectable using conventional 3D+t space. The topic is interesting and clearly presented, the methods are sound and the results are convincing. Figures 2 3 and 4 are clear but should be improved/rearranged since they occupy a lot of page room while leaving a lot of blank space within the figure.  

Author Response

REVIEWER 1

 

This paper presents an interesting brain activity model that instead of using a 3D plus time space switches to a 4D plus time space to highlight phenomena not detectable using conventional 3D+t space. The topic is interesting and clearly presented, the methods are sound and the results are convincing. Figures 2 3 and 4 are clear but should be improved/rearranged since they occupy a lot of page room while leaving a lot of blank space within the figure. 

 

Dear Reviewer, thanks for your kind words. 

We are delighted that you liked our manuscript. 

We removed the old Figure 2 and rearranged the Figures 3 and 4 in order to erase the unnecessary blank spaces.   

Further, we added another Figure, termed Figure 2.     

 

Reviewer 2 Report

The authors propose a method, based on the concept of signal space,
which allows the representation of the EEG signal in a space with a
dimension greater than three-dimensional.

Although the proposal is interesting, it would be enriching for the authors
to add some situation of application of the proposed technique, such as
feature extraction or any other that they consider appropriate.

Author Response

The authors propose a method, based on the concept of signal space, which allows the representation of the EEG signal in a space with a dimension greater than three-dimensional.

Although the proposal is interesting, it would be enriching for the authors to add some situation of application of the proposed technique, such as feature extraction or any other that they consider appropriate.

 

 

Dear Reviewer, thanks for your useful comments. 

We followed your suggestions that make, we hope, our manuscript more attractive to a general audience. 

Keeping into account your idea, and thanks to the invaluable help of our two novel Authors Don and Ramanna, we inserted in the MATERIAL AND METHODS Section another approach of feature extraction from three-dimensional datasets to four-dimensional hyperspheres.  This approach, illustrated also in the novel Figure 2, makes it is easier to grasp the concept of quaternions.   Our changes are marked in yellow.

 

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