Phase Resetting of Respiratory Rhythm Studied in a Model of a Limit-Cycle Oscillator: Influence of Stochastic Processes

1989 ◽  
pp. 379-388 ◽  
Author(s):  
Frederic L. Eldridge ◽  
David Paydarfar
1989 ◽  
Vol 257 (2) ◽  
pp. R271-R277 ◽  
Author(s):  
F. L. Eldridge ◽  
D. Paydarfar ◽  
P. G. Wagner ◽  
R. T. Dowell

We studied the effect of changing drive on resetting of respiratory rhythm in anesthetized cats and in a model (Van der Pol) of a limit-cycle oscillator. In cats, rhythm was perturbed by brief mesencephalic stimuli. Stimulus time in the cycle (old phases) and times of onset of rescheduled breaths (cophases) were measured. Previous study [Paydarfar and Eldridge, Am. J. Physiol. 252 (Regulatory Integrative Comp. Physiol. 21): R55-R62, 1987] showed distinct types of phase resetting that depended on strength of stimuli. In this study, stimulus strength was kept constant, but respiratory drive was changed by increasing PCO2, by stimulating carotid sinus nerve, or by cooling intermediate areas of ventral medulla. Type 0 (strong) resetting occurred when respiratory drive was low, type 1 (weak) resetting when drive was high, and a phase singularity when drive was intermediate. Phase-resetting patterns generated by the model showed the same behavior when a drive parameter was changed. The findings support the idea that continuous limit-cycle dynamics underlie generation of respiratory rhythm. Increased respiratory drive, by increasing size of the limit cycle, reduces functional effectiveness of the same perturbing stimulus in causing phase resetting.


1987 ◽  
Vol 252 (1) ◽  
pp. R55-R62 ◽  
Author(s):  
D. Paydarfar ◽  
F. L. Eldridge

This study explores resetting of respiratory rhythm by facilitatory perturbations. The midbrain reticular formation and periaqueductal gray matter were electrically stimulated to evoke facilitation of phrenic nerve activity in nine anesthetized, vagotomized, and glomectomized adult cats. The animals were paralyzed and servo-ventilated to keep end-tidal PCO2 constant. Brief midbrain stimuli were given at various times in the respiratory cycle and the times of onset of rescheduled breaths after stimulation were measured. A plot of phase resetting as a function of stimulus strength and time of delivery defined a helicoid surface. The axis of this helicoid identified a unique stimulus which, when given at the inspiratory-expiratory transition, resulted in unpredictable resetting of respiratory rhythm. This stimulus had a strength that was intermediate to that which identified types 1 and 0 resetting. In one experiment, the singular stimulus often initiated a breath having prolonged inspiratory activity; resumption of the normal rhythm was delayed significantly (P less than 0.01). We conclude that the dysrhythmias observed in this study represent the respiratory oscillator''s phase singularity.


2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Julia E. Stone ◽  
Xavier L. Aubert ◽  
Henning Maass ◽  
Andrew J. K. Phillips ◽  
Michelle Magee ◽  
...  

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