Recurrence plots and Shannon entropy for a dynamical analysis of asynchronisms in noninvasive mechanical ventilation.

Recurrence plots were introduced to quantify the recurrence properties of chaotic dynamics. Hereafter, the recurrence quantification analysis was introduced to transform graphical interpretations into statistical analysis. In this spirit, a new definition for the Shannon entropy was recently introduced in order to have a measure correlated with the largest Lyapunov exponent. Recurrence plots and this Shannon entropy are thus used for the analysis of the dynamics underlying patient assisted with a mechanical noninvasive ventilation. The quality of the assistance strongly depends on the quality of the interactions between the patient and his ventilator which are crucial for tolerance and acceptability. Recurrence plots provide a global view of these interactions and the Shannon entropy is shown to be a measure of the rate of asynchronisms as well as the breathing rhythm.

[1]  J. Henry,et al.  THE TOTAL WORK OF BREATHING IN NORMAL AND OBESE MEN. , 1964, The Journal of clinical investigation.

[2]  P E Pepe,et al.  Occult positive end-expiratory pressure in mechanically ventilated patients with airflow obstruction: the auto-PEEP effect. , 1982, The American review of respiratory disease.

[3]  G. A. Petrillo,et al.  Phase locking of the respiratory rhythm in cats to a mechanical ventilator. , 1983, Canadian journal of physiology and pharmacology.

[4]  Breathing patterns in patients with chronic obstructive pulmonary disease. , 1984 .

[5]  G. A. Petrillo,et al.  A theory for phase locking of respiration in cats to a mechanical ventilator. , 1984, The American journal of physiology.

[6]  N. Anthonisen,et al.  Breathing patterns in patients with chronic obstructive pulmonary disease. , 1984, The American review of respiratory disease.

[7]  V. Ferrans,et al.  Evidence for chronic inflammation as a component of the interstitial lung disease associated with progressive systemic sclerosis. , 1985, The American review of respiratory disease.

[8]  A Rossi,et al.  Measurement of static compliance of the total respiratory system in patients with acute respiratory failure during mechanical ventilation. The effect of intrinsic positive end-expiratory pressure. , 1985, The American review of respiratory disease.

[9]  Fraser,et al.  Independent coordinates for strange attractors from mutual information. , 1986, Physical review. A, General physics.

[10]  Bruce J. West,et al.  Applications of Nonlinear Dynamics to Clinical Cardiology a , 1987, Annals of the New York Academy of Sciences.

[11]  D. Ruelle,et al.  Recurrence Plots of Dynamical Systems , 1987 .

[12]  H. Schuster,et al.  Proper choice of the time delay for the analysis of chaotic time series , 1989 .

[13]  G. Mayer-Kress,et al.  Use of recurrence plots in the analysis of heart beat intervals , 1990, [1990] Proceedings Computers in Cardiology.

[14]  H. Abarbanel,et al.  Determining embedding dimension for phase-space reconstruction using a geometrical construction. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[15]  J. Zbilut,et al.  Embeddings and delays as derived from quantification of recurrence plots , 1992 .

[16]  Allan I. Pack,et al.  Regulation of breathing , 1994 .

[17]  J. Kurths,et al.  Quantitative analysis of heart rate variability. , 1995, Chaos.

[18]  Eugene N. Bruce,et al.  Mechanisms and analysis of ventilatory stability , 1995 .

[19]  R. Harper,et al.  Dynamics of Respiratory Patterning in Normal Infants and Infants Who Subsequently Died of the Sudden Infant Death Syndrome , 1996, Pediatric Research.

[20]  A. Giuliani,et al.  Recurrence quantification analysis of the logistic equation with transients , 1996 .

[21]  L. Cao.  Practical method for determining the minimum embedding dimension of a scalar time series , 1997 .

[22]  Y. Pesin,et al.  Dimension theory in dynamical systems , 1997 .

[23]  D. Georgopoulos,et al.  Effects of mechanical ventilation on control of breathing. , 1997, Monaldi archives for chest disease = Archivio Monaldi per le malattie del torace.

[24]  G. Criner,et al.  Hypoventilation syndromes. , 1998, Clinics in chest medicine.

[25]  Philippe Faure,et al.  A new method to estimate the Kolmogorov entropy from recurrence plots: its application to neuronal signals , 1998 .

[26]  Modalities of ventilation in obesity. , 1998, Monaldi archives for chest disease = Archivio Monaldi per le malattie del torace.

[27]  L A Aguirre,et al.  Nonlinear multivariable modeling and analysis of sleep apnea time series , 1999, Comput. Biol. Medicine.

[28]  A Giuliani,et al.  The role of hydrophobicity patterns in prion folding as revealed by recurrence quantification analysis of primary structure. , 2000, Protein engineering.

[29]  L. A. Aguirre,et al.  Investigation of determinism in heart rate variability. , 2000, Chaos.

[30]  B. Celli,et al.  The obesity hypoventilation syndrome can be treated with noninvasive mechanical ventilation. , 2001, Chest.

[31]  M. Tobin,et al.  Patient-ventilator interaction. , 2001, American journal of respiratory and critical care medicine.

[32]  Luis A. Aguirre,et al.  Investigating nonlinear dynamics from time series: The influence of symmetries and the choice of observables. , 2002, Chaos.

[33]  Martin J Tobin,et al.  Dyspnea and decreased variability of breathing in patients with restrictive lung disease. , 2002, American journal of respiratory and critical care medicine.

[34]  L. Romanelli,et al.  Applications of recurrence quantified analysis to study the dynamics of chaotic chemical reaction , 2002, nlin/0211050.

[35]  Jorge Belaire-Franch,et al.  Assessing nonlinear structures in real exchange rates using recurrence plot strategies , 2002 .

[36]  Lael Parrott,et al.  Analysis of simulated long-term ecosystem dynamics using visual recurrence analysis , 2004 .

[37]  A. Babloyantz,et al.  Is the normal heart a periodic oscillator? , 1988, Biological Cybernetics.

[38]  J. Kurths,et al.  Estimation of dynamical invariants without embedding by recurrence plots. , 2004, Chaos.

[39]  A. Rossi,et al.  Intrinsic positive end-expiratory pressure (PEEPi) , 1995, Intensive Care Medicine.

[40]  Juergen Kurths,et al.  Detection of synchronization for non-phase-coherent and non-stationary data , 2005 .

[41]  Systèmes chaotiques et méthode des récurrences : application à la détection précoce des crises d'épilepsie , 2005 .

[42]  Christophe Letellier,et al.  Estimating the Shannon entropy: recurrence plots versus symbolic dynamics. , 2006, Physical review letters.

[43]  Christophe Letellier,et al.  Asynchrony and cyclic variability in pressure support noninvasive ventilation , 2007, Comput. Biol. Medicine.

[44]  M. Aydoğdu,et al.  [Patient-ventilator interaction]. , 2009, Tuberkuloz ve toraks.