2014 The model of the potential function V(x), for the hysteresis cycles in a weak field of a ferromagnetic sample, demagnetized by an alternating field, leads to Rayleigh’s laws. In the case of a thermal demagnetization, the Bloch wall may be present in every well of V(x), and the domain structure is initially metastable. Considering all configurations where we can find the Bloch wall, in Néel...

A mathematical model for a two-gene regulatory network is derived and several oftheir properties analyzed. Due to the presence of mixed continuous/discrete dynam-ics and hysteresis, we employ a hybrid systems model to capture the dynamics of thesystem. The proposed model incorporates binary hysteresis with different thresholdscapturing the interaction between the genes. We a...

Hysteresis phenomena were demonstrated in the excitability of single, enzymatically dissociated guinea pig ventricular myocytes. Membrane potentials were recorded with patch pipettes in the whole-cell current-clamp configuration. Repetitive stimulation with depolarizing current pulses of constant cycle length and duration but varying strength led to predictable excitation (1:1) and nonexcitatio...

Both rat liver and Escherichia coli rRNA in 0.1M-sodium chloride were titrated with acid or alkali over the range pH 3-7 at approx. 0°C. rRNA did not bind acid reversibly and hysteresis was observed, i.e. the plot of acid bound to rRNA against pH had the form of a loop showing that the amount of acid bound at a particular pH depended on the direction of the titration. Although the boundary curv...

The purpose of this study was to examine the correlation between CR (Cosmic Ray) intensity and solar, interplanetary and terrestrial parameters. The hysteresis loops of (CR) versus those of several solar parameters showed narrow loops in even cycles 20, 22 and broad loops in odd cycles 19, 21, as also in the recent odd cycle 23. Hysteresis plots for CR versus interplanetary number density N and...

We discuss the impact of mathematical modeling on our understanding of the cell cycle. Although existing, detailed models confirm that the known interactions in the cell cycle can produce oscillations and predict behaviors such as hysteresis, they contain many parameters and are poorly constrained by data which are almost all qualitative. Questions about the basic architecture of the oscillator...

The chemical reaction rate for solid-state product formation in a pharmaceutical case study was monitored by equilibration with either a 75%, 21.5%, 75% relative humidity (RH) cycle ("high-low-high", HLH) or a 21.5%, 75%, 21.5% RH cycle ("low-high-low", LHL). For the HLH cycle, it was found that the degradant formation rate was reversible; that is, the rate at the final 75% RH step was equivale...

hysteresis has been widely recognized in the soil water relationship. in this paper, a detailed review of hysteresis was performed in relation to its models. so far, different models have been suggested to describe hysteresis in the water retention curve (wrc) that could be categorized into two main groups: conceptual and empirical models. the models in the first group are based on the domain t...