Engineering Mathematics and Internetworking Faculty Research, Publications and Presentations

Recent Submissions

  • The Lorenz-Krishnamurthy slow manifold 

    Fowler, A. C., and G. Kember. 1996. "The Lorenz-Krishnamurthy slow manifold." Journal of the Atmospheric Sciences 53: 1433-1437.
    The authors scale the five-mode model introduced by Lorenz and Krishnamurthy and show how explicit solutions may be obtained in the limit of small Rossby number by using the method of multiple scales. They thus obtain a ...

  • Competition model for aperiodic stochastic resonance in a Fitzhugh-Nagumo model of cardiac sensory neurons 

    Kember, G. C., G. A. Fenton, J. A. Armour, and N. Kalyaniwalla. 2001. "Competition model for aperiodic stochastic resonance in a Fitzhugh-Nagumo model of cardiac sensory neurons." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 63(4): 419111-419116. doi:10.1103/PhysRevE.63.041911
    A model is presented to access the cause and effect between noisy threshold inputs and the average firing rate generated by neuron. The neural control in the heart in aperiodic stochastic resonance (ASR) was partially ...

  • "Smart" baroreception along the aortic arch, with reference to essential hypertension 

    Kember, G. C., M. Zamir, and J. A. Armour. 2004. ""Smart" baroreception along the aortic arch, with reference to essential hypertension." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 70(5): 051914-1-051914-5. doi:10.1103/PhysRevE.70.051914
    An arterial model was used to show that the cumulative effects of wave reflections have a surprisingly pronounced effect on the pressure distribution in the root segment of the tree. Global arterial conditions play a role ...

  • Control of cardiac function and noise from a decaying power spectrum 

    Kember, G. C., J. A. Armour, G. A. Fenton, and A. Malhotra. 2004. "Control of cardiac function and noise from a decaying power spectrum." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 70(2): 021909-1-021909-9. doi:10.1103/PhysRevE.70.021909
    The transduction capability of cardiac affected neurons situated to the heart to control cardiac function was described. It was observed that the through in situ cardiac afferent activity shows evidence of independent and ...

  • Mechanism of smart baroreception in the aortic arch 

    Kember, G. C., J. A. Armour, and M. Zamir. 2006. "Mechanism of smart baroreception in the aortic arch." Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 74(3). doi:10.1103/PhysRevE.74.031914
    A mechanism is proposed by which the patch of baroreceptors along the inner curvature of the arch of the aorta can sense hemodynamic events occurring downstream from the aortic arch, in the periphery of the arterial tree. ...

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