Understanding the relationship between spontaneous stochastic fluctuations and the topology of the underlying gene regulatory network is fundamental for the study of single-cell stochastic gene expression. Here by solving the analytical steady-state protein distribution in a general model of stochastic gene expression with nonlinear feedback regulation, we reveal a quantitative relation between...

background: prompt diagnosis and treatment of latent tuberculosis (tb) infection (ltbi) are needed to control tb. the aim of the study was to compare the performance of quanti feron-tb test (qft) with conventional tst for the diagnosis of ltbi. methods: in this analytical - comparison study, we enrolled 87 nurses working in teaching hospitals in ahvaz. all study subjects were tested by tst.  ts...

Background: Appropriate diagnosis and treatment of latent tuberculosis infection (LTBI) play the most important role in the control of tuberculosis. This study aimed to determine the prevalence of LTBI among healthy tuberculosis unexposed children vaccinated with BCG using the tuberculin skin test (TST) and QuantiFERON TB Gold In-Tube (QFT-GIT) and comparing the agreement between the two tests....

We study quantum field models in indefinite metric. We introduce the modified Wightman axioms of Morchio and Strocchi as a general framework of indefinite metric quantum field theory (QFT) and present concrete interacting relativistic models obtained by analytical continuation from some stochastic processes with Euclidean invariance. As a first step towards scattering theory in indefinite metri...

The paper addresses the stabilization of nonlinear systems with semiquadratic cost: quadratic with respect to controls and nonlinear for state variables. Paper presents the effective new feedback synthesis procedure. The novel feedback design procedure is based on the ideas borrowed from nonlinear optics and the theory of semi-classical asymptotics.

The nonlinear feedback cascade model of the underactuated IWP is obtained through a collocated partial feedback linearization and a global change of coordinates. A nonlinear controller is designed with the nonlinear recursive technology. The system stability is proved with Lyapunov theory. The simulation results show the system is globally asymptotically stable to the origin.

We explore the correspondence between geometric function theory (GFT) and quantum field (QFT). The crossing symmetric dispersion relation provides necessary tool to examine connection GFT, QFT, effective theories (EFTs), enabling us connect with crossing-symmetric EFT-hedron. Several existing mathematical bounds on Taylor coefficients of Typically Real functions are summarized shown be enormous...

The theoretical physics of the first quarter of the twentieth century —centering around relativity theory and nonrelativistic quantum mechanics— has had a broad influence mathematically. The main achievement of theoretical physics in the following half-century was the development of quantum field theory or QFT. Yet the mathematical influence of QFT still belongs largely to the 21st century, bec...

Definition Nonlinear control systems are those control systems where nonlinearity plays a significant role, either in the controlled process (plant) or in the controller itself. Nonlinear plants arise naturally in numerous engineering and natural systems, including mechanical and biological systems, aerospace and automotive control, industrial process control, and many others. Nonlinear control...

In the context of quantum field theory (QFT), unstable particles are associated with complex-valued poles two-body scattering matrices in unphysical sheet rapidity space. The Breit-Wigner formula relates this pole to mass and life-time particle, observed events. paper, we uncover new, dynamical signatures excitations show that they have a strong effect on non-equilibrium properties QFT. Focusin...