Narrow Results

The Hagedorn temperature, T_H is determined from the number of hadronic resonances including all mesons and baryons. This leads to a stable result T_H = 174 MeV consistent with the critical and the chemical freeze-out temperatures at zero chemical potential. We use this result to calculate the speed of sound and other thermodynamic quantities in the resonance hadron gas model for a wide range of baryon chemical potentials following the chemical freeze-out curve. We compare some of our results to those obtained previously in other papers.

We consider a class of Lévy-type processes derived via a Doob transform from Lévy processes conditioned by a control function called potential. These ground state transformed processes (also called $P{(\varphi )}_1$-processes) have position-dependent and generally unbounded components, with stationary distributions given by the ground states of the Lévy generators perturbed by the potential. We derive precise upper envelopes for the almost sure long-time behavior of these ground state-transformed Lévy processes, characterized through escape rates and integral tests. We also highlight the role of the parameters by specific examples.

This study provides numerical simulations of some of the abnormalities in the potentials and axonal excitability indices of human motor nerve fibers in simulated cases of internodal, paranodal and simultaneously of paranodal internodal demyelinations, each of them systematic or focal. A 70% reduction of the myelin lamellae (defining internodal demyelination), or of the paranodal seal resistance (defining paranodal demyelination), or simultaneously both of them (defining paranodal internodal demyelination) was uniform along the fiber length for the systematically demyelinated subtypes. These permutations were termed internodal systematic demyelination (ISD), paranodal systematic demyelination (PSD) and paranodal internodal systematic demyelination (PISD). In other tests, the same reductions of the myelin sheath parameters were used but restricted to only three (8th, 9th and 10th) consecutive internodes. Such fiber demyelinations were termed internodal focal demyelination (IFD), paranodal focal demyelination (PFD) and paranodal internodal focal demyelination (PIFD). The computations used our previous double cable model of the fibers. The axon model was comprised of 30 nodes and 29 internodes. The 70% reduction value was not sufficient to develop conduction block in all investigated demyelinations, which were regarded as mild. The membrane property abnormalities obtained in the ISD, PSD and PISD cases were quite different and abnormally greater than those in the IFD, PFD and PIFD cases. The changes in the excitability indices such as strength-duration time constants, rheobasic currents and recovery cycles in the focally demyelinated subtypes were so slight as to be essentially indistinguishable from normal values. Consequently, the excitability based approaches that have shown strong potential as diagnostic tools in systematically demyelinated conditions may not be useful in detecting mild focal demyelinations. The membrane property changes simulated in the systematically demyelinated subtypes are in good accordance with the data from patients with Charcot-Marie-Tooth disease type 1A (CMT1A) and chronic inflammatory demyelinating polyneuropathy (CIDP). The excitability abnormalities obtained in each focally demyelinated subtype match those observed in vivo in patients with demyelinating forms of Guillain-Barré syndrome (GBS). The results indicate that the model that was used is a rather promising tool in studying the membrane property abnormalities of hereditary, chronic and acquired demyelinating neuropathies, which up till now, have not been sufficiently well understood.

Emotionality of subjective time-experience in depressed patients is related to the concept of Michael Theunissen as to the dominance of the past in relation to the spontaneity of the subject within a present moment of time. Electrophysiological measurements, using event-related potentials point to the view that negative emotions can induce a value-related cognitive/emotional blockade of valuation processes. The role of creativity to overcome such memory-related impairments is discussed within the context of possible functions of consciousness.

In this survey we expose the fundamentals of the strongly nonlinear potential theory and relate some of its components. As applications, we establish a relation between this theory and Partial Differential Equations, and show whether the equation Δ_Au + h = 0 possesses a solution or not, for a fixed function h. Here Δ_A is the A-Laplacian which is the p-Laplacian Δ_p, when the Orlicz space L_A reduces to the Lebesgue space L^p.