The model of Geman-Miller of the respiratory oscillator is reinvestigated for its interpretation of the parameters: W and T. It was found that the interpretation of Geman-Miller, that the parameters T and W represent the chemosensitive feedback, is incorrect. The extension to the model made by Engeman and Swanson is not necessary to produce afterdischarge. It is demonstrated that the afterdischarge can be predicted in the original Geman-Miller model from the Jacobian Matrix.
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The model of Geman-Miller of the respiratory oscillator is reinvestigated for its interpretation of the parameters: W and T. It was found that the interpretation of Geman-Miller, that the parameters T and W represent the chemosensitive feedback, is incorrect. The extension to the model made by Engeman and Swanson is not necessary to produce afterdischarge.
View Article and Find Full Text PDFTransient response of the Geman-Miller respiratory oscillator model.
J Appl Physiol Respir Environ Exerc Physiol
June 1979
Recent evidence suggests that there is a persistence of elevated respiratory center activity for many respiratory cycles after the cessation of a neural stimulus. To explore the theoretical possibility that this behavior may be a consequence of the neural oscillator that dictates respiratory rhythm, the transient response of a mathematical model of a medullary respiratory oscillator recently described by Geman and Miller was examined using computer simulation. This concept was motivated by the presence of a persistent transient response behavior inherent in oscillators from mathematical physics.
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