title: Periodic breathing induced by arterial oxygen partial pressure oscillations.
abstract: The Grodins model of respiratory control (Grodins et al., 1967) describes cardio-respiratory control for a lung with homogeneous gas concentrations. In this study we modify the Grodins model to take account of the inhomogeneities in gas concentration within the lung that are seen in many subjects with respiratory illnesses. This modification has the effect of lowering arterial oxygen partial pressure significantly. We investigate the effect on cardio-respiratory control of this low arterial oxygen signal and find that the governing equations may be reduced to a single delay-differential equation. This reduced model is found to be a good approximation to the full model and gives predictions that are similar to reported clinical data.
authors.affiliation: Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK.
authors.forename: J P
authors.initials: JP
authors.lastname: Whiteley
authors.forename: D J
authors.initials: DJ
authors.lastname: Gavaghan
authors.forename: C E W
authors.initials: CE
authors.lastname: Hahn
mesh_terms: D006801:Humans; D008168:Lung / Q000502:physiology*; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D010100:Oxygen / Q000097:blood* / Q000493:pharmacokinetics; D010313:Partial Pressure; D010507:Periodicity; D011659:Pulmonary Gas Exchange / Q000502:physiology; D012119:Respiration; D013268:Stimulation, Chemical
chemical_list: D010100:Oxygen