Patient-ventilator interaction: A general model for nonpassive mechanical ventilation

P. S. Crooke, J. D. Head, J. J. Marini, J. R. Hotchkiss

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


A general mathematical model for the dynamic behaviour of a single- compartment respiratory system in response to an arbitrary applied inspiratory airway pressure and arbitrary respiratory muscle activity is investigated. The model is used to compute explicit expressions for ventilation and pressure variables of clinical interest for clinician- selected and impedance-determined inputs. The outcome variables include tidal volume, end-expiratory pressure, minute ventilation, mean alveolar pressure; average pleural pressure, as well as the work performed by the ventilator and the respiratory muscles. It is also demonstrated that under suitable conditions, there is a flow reversal that can occur during inspiration.

Original languageEnglish (US)
Pages (from-to)321-337
Number of pages17
JournalIMA Journal of Mathemathics Applied in Medicine and Biology
Issue number4
StatePublished - Dec 1998

Bibliographical note

Funding Information:
t Supported in part by a subcontract pscrooke® X Supported by NIH SCOR HL50152-01


  • Mechanical ventilation
  • Nonpassive ventilation
  • Pulmonary model
  • Respiratory muscle pressure


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