photoproteins are excellent reporter systems because they don’t have virtually background signal. aequorin is the most well-known photoprotein. three improved engineered photoproteins photina, i-photina and c-photina, were also recently developed and optimized for generation of ca2+ mobilization assays precisely. the total light emission is greater than aequorin and their reaction kinetics is a...

We present an analytical expression for the observed signal in time- and phase-resolved pump-probe studies, with particular emphasis on terahertz time-domain spectroscopy. Maxwell's equations are solved for the response of damped, harmonic oscillators to a driving probe field in the perturbative regime. Our analytical expressions agree with the one previously reported in the literature [Nemec e...

In analyzing a signal, especially a non-stationary signal, it is often necessary the desired signal to be segmented into small epochs. Segmentation can be performed by splitting the signal at time instances where signal amplitude or frequency change. In this paper, the signal is initially decomposed into signals with different frequency bands using wavelet transform. Then, fractal dimension of ...

A comparison between published analytical results with measured experimental results of the magnetic field produced by thermoelectric currents of subsurface semi-spherical pure tin inclusions embedded in a copper bar under the influence of an external heating and cooling into the specimen is presented. The experimental magnetic flux density measurements show a reasonable agreement as compared t...

We observe the phenomenon of stochastic resonant signaling in signal amplification enzyme cascades, where certain optimal reaction rates minimize the average threshold-crossing time. We develop a new analytical technique to obtain the mean first passage time, based on a novel decomposition of the master equation. Our analytical results are in good agreement with the exact numerical simulations....

Theoretical results for the output and the input–output crosscorrelation function are derived for #rst order direction-dependent processes perturbed using pseudo-random maximum length ternary (MLT) signals with unsymmetrical signal levels. The analytical results are valid if the process output is either always increasing or always decreasing when the input is at its median level of zero. It is ...

To study the BOLD effect numerically, blood vessels are often modelled as infinite cylinders [1] (infinite cylinder model, ICM). To simplify analytical calculations, signal dephasing resulting from spins diffusing around these infinite cylinders is then usually further approximated as a mono-exponential signal decay as suggested by Ogawa et al.[1]. Although for a wide range of parameters this m...

The most common way to define instantaneous amplitude, phase and frequency of a real signal is to use its analytic signal. One of the main advantages of this procedure is that it establishes a one-to-one relationship between any real signal and the pair of functions defining its instantaneous amplitude and phase. However, there are some problems in its physical interpretation but it is shown th...

Designing an analog integrated circuit requires multiple forms of constraints. One has equalities describing circuit behavior, both DC and AC. When used in a design plan applied for optimization-based sizing, it is important that the number of analytical operations required to obtain a quantitative measure is minimal. Therefore, simplification of the analytical models allowing evaluation is des...

The research presents the first results of aluminium speciation analysis in aqueous extracts of individual plant parts of Betula pendula and soil samples, using High Performance Ion Chromatography with Diode Array Detection (HPIC-DAD). The applied method allowed us to carry out a full speciation analysis of aluminium in the form of predominant aluminium-fluoride complexes: AlF(x=2,3,4)(3-x) (fi...