Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"Fitzhugh-Nagumo model"”.
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The FitzHugh-Nagumo model dynamics with an application to the hypothalamic pituitary adrenal axis
… I revisit the issue of the utility of the FitzHugh-Nagumo (FHN) model for capturing neuron firing behaviors. It has been noted (e.g., see [8]) that the FHN model cannot exhibit certain interesting firing behaviors such as bursting. I will illustrate that, by allowing time-varying parameters …
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Qualitative Models of Neural Activity and the Carleman Embedding Technique.
<p>The two variable Fitzhugh Nagumo model behaves qualitatively like the four variable Hodgkin-Huxley space clamped system and is more mathematically tractable than the Hodgkin Huxley model, thus allowing the action potential and other properties of the Hodgkin Huxley system to be more readily be …
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Steady-State Poisson-Nernst-Planck Systems: Asymptotic expansions and applications to ion channels
… cubic-like assumption of the I-V relation in the FitzHugh-Nagumo model for action potential involving a population of ion channels. However, applications of the results of this thesis to ion channels are limited, since we considered a simplified model with two species of ions and a zero permanent …
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Nonlinear observer design and synchronization analysis for classical models of neural oscillators
This thesis explores four nonlinear classical models of neural oscillators, the Hodgkin- Huxley model, the Fitzhugh-Nagumo model, the Morris-Lecar model, and the Hindmarsh-Rose model. Analysis techniques for nonlinear systems were used to develop a set of observers and perform synchronization …
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Input/output analysis: graphical and algorithmic methods
… the classical van der Pol oscillator and the FitzHugh-Nagumo model of an excitable neuron, which both consist of an LTI transfer function in parallel with monotone and anti-monotone nonlinear resistors. A new algorithm, the difference-of-monotone Douglas-Rachford algorithm, is proposed, which …
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Pattern formation in oscillatory systems
… are two topics in this dissertation: Kuramoto model and FitzHugh-Nagumo (FHN) model. Kuramoto's original analysis of his model gives the critical synchronization value for K (K is the coupling constant ). He also gives an estimate for the value of order parameter r when K is close to critical …