Their study provides evidence of the associations of regional brain entropy with individual variations in divergent thinking and show that brain entropy is sensitive to detecting variations in important cognitive abilities in healthy subjects. ( 4) found that there was a significant positive relationship between creativity and the brain entropy values of DLPFC and DACC brain functional areas, which are responsible for cognitive flexibility and inhibitory control. ( 3) found that high intelligence would correspond to a high level of brain entropy in a sample of 892 healthy adults who participated in both resting-state fMRI and intelligence testing. ( 2) calculated the three-dimensional brain entropy map through the resting-state fMRI images of 1,049 subjects, and found that the distribution of brain entropy was consistent with the brain structure and functional partition.
And then the concept and application scope of entropy were gradually extended to cybernetics, probability theory, number theory, astrophysics, life science and other fields.
In 1948, Shannon ( 1) introduced entropy into information theory and used entropy to quantify the complexity of information for the first time. According to an analysis of certain signal mixed with noise, we conclude that FuzzyEn is more accurate considering sensitivity, stability and robustness of entropy.Įntropy is a physical concept proposed by the German physicist Clausius in 1865, which is used to measure the complexity, randomness, or predictability of a dynamic process. There was no statistical difference between the SampEn of OCD and HC.Ĭonclusion: Brain entropy is a numerical index related to brain function and can be used as a supplementary biological index to evaluate brain state, which may be used as a reference for the diagnosis of mental illness. Besides, there are more brain regions with obvious differences when using ApEn comparing to using FuzzyEn. Result: Compare with the control group, almost the whole brain's ApEn and FuzzyEn of OCD are larger significantly. To compare the sensitivity and robustness of these three kinds of entropy, we also studied their performance by using certain signal mixed with noise. And then we analyzed the statistical differences of the three brain entropies between the patients and the control group.
The brain entropy of the OCD group and the HC are calculated, respectively, by voxel and AAL region. Method: We set patients with OCD as the experimental group and healthy subjects as the control group. Based on the resting-state function magnetic resonance imaging (fMRI) we analyzed the differences of the three main brain entropy in the statistical significance, including approximate entropy (ApEn), sample entropy (SampEn) and fuzzy entropy (FuzzyEn), and studied the physiological reasons behind the difference through comparing their performance on obsessive-compulsive disorder (OCD) and the healthy control (HC). Object: Brain entropy is a potential index in the diagnosis of mental diseases, but there are some differences in different brain entropy calculation, which may bring confusion and difficulties to the application of brain entropy.
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