This thesis consists of two manuscripts: “Exploring voltage-dependent ion channels in silico by hysteretic conductance” by Tom Andersson, and “Statistical sensitivity analysis and remodeling of whole-cell conductances in nociceptors” by Tom Andersson, Joanna Tyrcha and Olivia Eriksson. The general approach to modeling neuronal excitability is to formalize and simulate systems of ordinary differ...

This paper introduces a wavelet-based linearization method to estimate the single-degree-of-freedom (SDOF) nonlinear system response based on the traditional equivalent linearization technique. The mechanism by which the signal is decomposed and reconstructed using the wavelet transform is investigated. Since the wavelet analysis can capture temporal variations in the time and frequency content...

Comprehensive physical models can accurately quantify the dynamics of nonlinear and hysteretic systems but often require significant computational cost. This can reduce their effectiveness when performing sensitivity analysis, uncertainty analysis, parameter calibration or system design which typically requires multiple iterations of computationally expensive routines. This can also preclude th...

A new neuron activation function based on a property found in physical systems--hysteresis--is proposed. We incorporate this neuron activation in a fully connected dynamical system to form the hysteretic Hopfield neural network (HHNN). We then present an analog implementation of this architecture and its associated dynamical equation and energy function.We proceed to prove Lyapunov stability fo...

We have synthesized nickel nanoparticles using nickel chloride as a precursor in ethanol using PVP (Poly Vinyl Pyrrolidone) as a surfactant and hydrazine hydrate as reducing agent at 60 °C in a facile manner. The structural analysis showed that particles are face-centered cubic and monodisperse within the PVP matrix with average size about 3 nm. The magnetic analysis shows the superparamagnetis...

We report finite-size numerical investigations and mean-field analysis of a Kuramoto model with inertia for fully coupled and diluted systems. In particular, we examine, for a gaussian distribution of the frequencies, the transition from incoherence to coherence for increasingly large system size and inertia. For sufficiently large inertia the transition is hysteretic, and within the hysteretic...