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System of harmonic oscillators microcanonical ensemble
System of harmonic oscillators microcanonical ensemble












system of harmonic oscillators microcanonical ensemble

Heller and Casey studied the temporal development of adolescents in emotion by building a corresponding model with neurodynamics and explored the relationship between temporal dynamic changes in adolescents with emotional and mood/anxiety disorders. Based on neurodynamics, Quyen developed, a comprehensive framework to analyze the spatiotemporal characteristics of the brain on a large scale. Deco and Rolls studied the spiking mechanisms of synapses and neurons under biased competition using dynamic analysis. Then, system states and dynamic characteristics can be observed to explore the working mechanism of the brain.

system of harmonic oscillators microcanonical ensemble

It attempts to build neural system models based on dynamics at different levels, from microscopicion channels to macroscopic connections of the cerebral cortex. Therefore, dynamics applied in modeling neural systems, called neurodynamics, is an important theory. To further understand the physiological principle and working mechanism of the brain, scientists have tried to build models of the brain from different perspectives and then observe and study system states and characteristics. The human brain is the most complex organ with unlimited potential. And it further implied the immense potential of thermodynamics in auxiliary diagnosis. (3) The detection of neural disease was demonstrated to benefit from the thermodynamic model, which confirmed that the thermodynamic model proposed can indeed describe the evolution of the neural system diseases.

#System of harmonic oscillators microcanonical ensemble free#

(2) Based on the proposed thermodynamic models, we found and confirmed that the neural system also follows the laws of thermodynamics: the activation of system always leads to increased internal energy, increased free energy, and decreased entropy as what is discovered in many other systems besides classic thermodynamic system. And, based on the neural system models proposed, thermodynamic parameters were obtained to describe the observation and evolution of the neural system. (1) In the previous studies, only some thermodynamic parameters in physics were analogized and applied to brain image analysis, while, in this study, a complete system model of the brain was proposed through the principles of thermodynamics. Meanwhile, the brain thermodynamic model achieved good accuracy in the detection of Alzheimer’s disease, suggesting the potential application of thermodynamic models in auxiliary diagnosis. This demonstrated the feasibility and rationality of the proposed brain thermodynamic modeling method, indicating that thermodynamic parameters drawn from our model can be applied to describe the state of the neural system. The experimental results verified the assumption that the brain follows thermodynamic laws. In addition, the thermodynamic properties were extracted as input features for the detection of Alzheimer’s disease. Two pairs of activated regions and two pairs of inactivated brain regions were selected for comparison in this study, and the thermodynamic properties based on the proposed model were analyzed. Regarding brain regions as systems, voxels as particles, and intensity of signals as energy of particles, the thermodynamic model of the brain was built based on the canonical ensemble theory. This study attempted to build a model of the brain from the perspective of thermodynamics at the system level, which brought a new perspective to brain modeling. System modeling is an important method to study the working mechanisms of the brain.














System of harmonic oscillators microcanonical ensemble