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A stochastic and integrative model of breathing with temporal scaling characteristics
Author(s) -
BuSha Brett Francis,
Frone Shan
Publication year - 2012
Publication title -
the faseb journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.709
H-Index - 277
eISSN - 1530-6860
pISSN - 0892-6638
DOI - 10.1096/fasebj.26.1_supplement.1148.11
Subject(s) - weibull distribution , scaling , log normal distribution , probability density function , detrended fluctuation analysis , breathing , mathematics , extreme value theory , statistical physics , generalized extreme value distribution , fractal , gamma distribution , statistics , probability distribution , physics , mathematical analysis , medicine , geometry , anatomy
Even during quiet wakefulness, there is a natural fluctuation of the output of the respiratory control system, which results in a distribution of breath to breath characteristics over time. The objective of this study was to design a stochastic and integrative model of breathing (SIMB) that utilized a probability density function (PDF) to reproduce the natural distribution pattern and temporal scaling of human breathing. A least sum of squares approach was used to optimize the fit of several PDF functions (extreme value, gamma, generalized extreme value, lognormal, and Weibull) to a sequential recording of 2048 breath to breath intervals (BBI). The three distributions with the lowest fitting errors were selected; Weibull, generalized extreme value, and gamma. Each distribution was used to generate input data for the SIMB, and 10 artificial BBI sequences were produced with each distribution. Detrended fluctuation analysis (DFA) was used to quantify fractal scaling of the output of the SIMB for each distribution. The morphology of the BBI distributions of the SIMB was similar to the original distributions that were generated with the optimized PDFs, and all SIMB generated breathing sequences contained significant fractal scaling (P < 0.01). In conclusion, a new stochastic model of breathing was designed, and optimized to reproduce the distribution and fractal properties found in normal adult breathing.