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Analysis and reduction of a modeled bursting neuron
A modeled bursting neuron was analyzed using methods based upon geometric singular perturbation theory. The mathematical mechanism of bursting in the model consisted of two slow variables traversing the state-space across ...
The inverse problem of neuron identification
Depending on the state of neuron membrane, the inverse problem of neuron identification is divided into two categories: the passive neuron identification and the active neuron identification. In the first category, we ...
Modeling viscoelastic free surface and interfacial flows, with applications to the deformation of droplets and blood cells
This thesis models viscoelastic free surface and interfacial flows. Capillarity and viscoelasticity are important in many interesting problems, e.g. the deformation of droplets and blood cells, coating flows of polymer ...