A stochastic and integrative model of breathing

Akay, 1998, Effects of maternal alcohol intake on fractal properties in human fetal breathing dynamics, IEEE Trans. Biomed. Eng., 45, 1097, 10.1109/10.709552 Barbieri, 2005, A point-process model of human heartbeat intervals: new definitions of heart rate and heart rate variability, Am. J. Physiol. Hear Circ. Physiol., 288, H424, 10.1152/ajpheart.00482.2003 Bassingthwaighte, 1995, Evaluation of the dispersional analysis method for fractal time series, Ann. Biomed. Eng., 23, 491, 10.1007/BF02584449 Ben-Tal, 2008, A model for control of breathing in mammals: coupling neural dynamics to peripheral gas exchange and transport, J. Theor. Biol., 250, 480, 10.1016/j.jtbi.2007.12.018 Ben-Tal, 2010, Control of breathing: two types of delays studied in an integrated model of the respiratory system, Resp. Physiol. Neurobiol., 170, 103, 10.1016/j.resp.2009.10.008 Bruce, 1995, Mechanisms and Analysis of Ventilatory Stability, 285 Bruce, 1996, Temproal variations in the pattern of breathing, J. Appl. Physiol., 80, 1079, 10.1152/jappl.1996.80.4.1079 BuSha, 2009, Gender and breathing route modulate cardio-respiratory variability in humans, Resp. Physiol. Neurobiol., 166, 87, 10.1016/j.resp.2009.02.008 BuSha, 2010, Exercise modulation of cardiorespiratory variability in humans, Resp. Physiol. Neurobiol., 172, 72, 10.1016/j.resp.2010.05.002 Cheng, 2010, An integrative model of respiratory and cardiovascular control in sleep-disordered breathing, Resp. Physiol. Neurobiol., 174, 4, 10.1016/j.resp.2010.06.001 Coronado, 2005, Size effects on correlation measures, J. Biol. Phys., 31, 121, 10.1007/s10867-005-3126-8 Del Negro, 2001, Models of respiratory rhythm generation in the pre-botzinger complex. III. Experimental tests of model predictions, J. Neurophysiol., 86, 59, 10.1152/jn.2001.86.1.59 Delignieres, 2006, Fractal analyses for ‘short’ time series: a re-assessment of classical methods, J. Math. Psychol., 50, 525, 10.1016/j.jmp.2006.07.004 Fadel, 2004, Fractal fluctuations in human respiration, J. Appl. Physiol., 97, 2056, 10.1152/japplphysiol.00657.2004 Fietkiewicz, 2016, Variability in respiratory rhythm generation: in vitro and in silico models, Commun. Nonlinear Sci. Numer. Simul., 32, 158, 10.1016/j.cnsns.2015.08.018 Gaudenzi, 2013, Lumped parameter model of cardio-respiratory interaction, Conf. Proc. IEEE Eng. Med. Biol. Soc., 2013, 473 Goldberger, 2002, Fractal dynamics in physiology: alterations with disease and aging, PNAS, 99, 2466, 10.1073/pnas.012579499 Goldman, 2008, Airway pressure alters wavelet fractal dynamics and short-range dependence of respiratory variability, Resp. Physiol. Neurobiol., 161, 29, 10.1016/j.resp.2007.11.007 Hausdorff, 1995, Is walking a random walk? Evidence for long-range correlations in stride interval of human gait, J. Appl. Physiol., 78, 349, 10.1152/jappl.1995.78.1.349 Indic, 2013, Point process modeling of interbreath interval: a new approach for the assessment of instability of breathing in neonates, IEEE Trans. Biomed. Eng., 60, 2858, 10.1109/TBME.2013.2264162 Ivanov, 1998, Stochastic feedback and the regulation of biological rhythms, Europhys. Lett., 43, 363, 10.1209/epl/i1998-00366-3 Jubran, 2000, Effect of isocapnic hypoxia on variational activity of breathing, Am. J. Respir. Crit. Care Med., 162, 1202, 10.1164/ajrccm.162.4.9907003 Jubran, 1997, Effect of hyperoxic hypercapnia on variational activity of breathing, Am. J. Respir. Crit. Care Med., 156, 1129, 10.1164/ajrccm.156.4.97-01080 Khoo, 2000, Determinants of ventilatory instability and variability, Respir. Physiol., 122, 167, 10.1016/S0034-5687(00)00157-2 Kuusela, 2003, Stochastic model for heart-rate fluctuations, Phys. Rev. E, 10.1103/PhysRevE.67.061904 Landa, 1995, Modified Mackey-Glass model of respiration control, Phys. Rev. E, 52, R36, 10.1103/PhysRevE.52.R36 Liang, 1996, Statistical properties of breath-to-breath variations in ventilation at constant PETCO2 and PETO2 in humans, J. Appl. Physiol., 81, 2274, 10.1152/jappl.1996.81.5.2274 Mackey, 1977, Oscillation and chaos in physiological control systems, Science, 197, 287, 10.1126/science.267326 Molkov, 2013, Control of breathing by interacting pontine and pulmonary feedback loops, Front. Neural Circuits, 7 Molkov, 2014, A closed-loop model of the respiratory system: focus on hypercapnia and active expiration, PLoS One, 9, e109894, 10.1371/journal.pone.0109894 Peng, 1995, Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series, CHAOS, 5, 82, 10.1063/1.166141 Peng, 2002, Quantifying fractal dynamics of human respiration: age and gender effects, Ann. Biomed. Eng., 30, 683, 10.1114/1.1481053 Qu, 2011, Multi-scale modeling in biology: how to bridge the gaps between scales?, Prog. Biophys. Mol. Biol., 107, 21, 10.1016/j.pbiomolbio.2011.06.004 Rybak, 1997, Modeling neural mechanisms for genesis of respiratory rhythm and pattern. I. Models of respiratory neurons, J. Neurophysiol., 77, 1994, 10.1152/jn.1997.77.4.1994 Rybak, 1997, Modeling neural mechanisms for genesis of respiratory rhythm and pattern. III. Comparison of model performances during afferent nerve stimulation, J. Neurophysiol., 77, 2027, 10.1152/jn.1997.77.4.2027 Scafetta, 2007, Fractal response of physiological signals to stress conditions, environmental changes, and neurodegenerative diseases, Complexity, 12, 12, 10.1002/cplx.20183 Segers, 2008, Functional connectivity in the pontomedullary respiratory network, J. Neurophysiol., 100, 1749, 10.1152/jn.90414.2008 Shao, 2012, Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series, Sci. Rep., 2, 835, 10.1038/srep00835 Smith, 2007, Spatial and functional architecture of the mammalian brain stem respiratory network: a hierarchy of three oscillatory mechanisms, J. Neurophysiol., 98, 3370, 10.1152/jn.00985.2007 Tobin, 1995, Interrelationship of breath components in neighboring breaths of normal eupnic subjects, Am. J. Respir. Crit. Care Med., 152, 1967, 10.1164/ajrccm.152.6.8520764 West, 2005, The independent fractal nature of respiration and heart rate during exercise under normobaric and hyperbaric conditions, Resp. Physiol. Neurobiol., 145, 219, 10.1016/j.resp.2004.07.010 Yu, 2016, Effects of ion-channel noise on neural circuits: an application to the respiratory pattern generator to investigate breathing variability, J. Neurophysiol.