We present a stochastic framework to study signal transmission in a generic two-step cascade S→X→Y. Starting from a set of Langevin equations obeying Gaussian noise processes we calculate the variance and covariance while considering both linear and nonlinear production terms for different biochemical species of the cascade. These quantities are then used to calculate the net synergy within the...

Multistep catalytic reactions use two different catalysts for the A → B and subsequent C reaction, respectively. Often employed are chemically incompatible, such as acid–base systems, which prohibits simple mixing in one solution. In this work, we study efficiency of reactors where incompatible sites immobilized on fibrous membranes. We compare a lattice Boltzmann based solver advection–diffusi...

The harmonic generation process in a harmonic cascade (HC) FEL is subject to noise degradation which is proportional to the square of the total harmonic order. In this paper, we study the shot noise evolution in the first-stage modulator and radiator of a HC FEL that produces the dominant noise contributions. We derive the effective input noise for a modulator operating in the low-gain regime, ...

In fact, what we want to evaluate is how well a given clustering algorithm is able to capture interesting, meaningful and usable information. Meaningful information in that case correspond to a new knowledge that is interesting to use for some purpose. We also expect the algorithm to be able to capture such interesting information on various types of datasets. Based on these considerations, we ...