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A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
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Quantifying consciousness through intrinsic probability density function.

Norden E Huang1, Wei-Shuai Yuan2, Albert C Yang3

  • 1Institute of Brain Science, National Yang-Ming Chiao Tung University, Taipei 11221, Taiwan; Cognitive Intelligence and Precision Healthcare Center, National Central University, Taoyuan 320317, Taiwan; First Institute of Oceanography, Ministry of Natural Resources, Qingdao 266061, China.

Biological Psychology
|August 8, 2025
PubMed
Summary
This summary is machine-generated.

We introduce the intrinsic probability density function (iPDF) to quantify consciousness dynamics. This novel method distinguishes brain states, showing super-Gaussian patterns in wakefulness and near-Gaussian in reduced consciousness, aiding clinical screening.

Keywords:
Cognitive statesConscious statesConsciousnessDementiaEMDEmperical Mode DecompositionIPDFIntercortical communicationsIntrinsic Probability Density FunctionNeural interactionsNeural modulationsSleep

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Area of Science:

  • Neuroscience
  • Quantitative Biology
  • Signal Processing

Background:

  • Consciousness is complex and challenging to quantify using traditional methods.
  • Understanding neural dynamics underlying different conscious states is crucial.
  • Existing methods may not fully capture subtle variations in neural activity.

Purpose of the Study:

  • To propose and validate the intrinsic probability density function (iPDF) as a quantitative measure for evaluating inter-cortical interactions in conscious states.
  • To assess the utility of iPDF in differentiating various physiological and pathological brain conditions.
  • To establish a robust framework for the assessment of consciousness.

Main Methods:

  • Empirical Mode Decomposition (EMD) to extract intrinsic mode functions (IMFs) from electroencephalogram (EEG) signals.
  • Generation of scale-dependent probability density functions for successive partial sums of IMFs.
  • Testing iPDF analysis across general anesthesia, sleep stages, sensory conditions, and in dementia patients versus healthy controls.

Main Results:

  • Super-Gaussian iPDF patterns characterize active neural interactions during wakefulness and REM sleep.
  • Near-Gaussian iPDF profiles are associated with reduced neural interactions in anesthesia and deep sleep.
  • A classification model using iPDF features achieved ~87% accuracy in distinguishing dementia patients from healthy subjects.

Conclusions:

  • Consciousness emerges from complex, scale-dependent neural processes.
  • The iPDF provides a robust quantitative framework for assessing consciousness.
  • iPDF analysis shows potential as a biomarker for clinical screening, particularly for neurodegenerative diseases.