Abstract:
We show that the quantum solitons occurring in theories describing a complex scalar field in (1 + 1)-dimensions with a Z(N) symmetry may be identified with sine-Gordon quantum solitons in the phase of this field. Then using both the Euclidean thermal Green function of the two-dimensional free massless scalar field in coordinate space and its dual, we obtain an explicit series expression for the corresponding solitonic correlation function at finite temperature.

Abstract:
We show how the famous soliton solution of the classical sine-Gordon
field theory in (1 + 1)-dimensions may be obtained as a particular case of a
solution expressed in terms of the Jacobi amplitude, which is the inverse
function of the incomplete elliptic integral of the first kind.

Abstract:
In the present work we show how different ways to solve biquadratic
equations can lead us to different representations of its solutions. A
particular equation which has the golden ratio and its reciprocal as solutions
is shown as an example.

Abstract:
The role of Chlamydia trachomatis (Ct) in everyday clinical practice is now on the increase because Ct infections are the most prevalent sexually transmitted bacterial infections worldwide. Ct can cause urethritis, cervicitis, pharyngitis, or epididymitis, although asymptomatic infections are quite common. Ct infection remains asymptomatic in approximately 50% of infected men and 70% of infected women, with risk for reproductive tract sequelae both in women and men. A proper early diagnosis and treatment is essential in order to prevent persistent consequences. An accurate comprehension of the pathology, diagnosis and treatment of this entity is essential for the urologist. We review the literature about the new findings in diagnosis and treatment of Ct infection in sexually active young men.

Abstract:
We show how the standard field theoretical language based on creation and annihilation operators may be used for a straightforward derivation of closed master equations describing the population dynamics of multivariate stochastic epidemic models. In order to do that, we introduce an SIR-inspired stochastic model for hepatitis C virus epidemic, from which we obtain the time evolution of the mean number of susceptible, infected, recovered and chronically infected individuals in a population whose total size is allowed to change.

Abstract:
We develop a field theory-inspired stochastic model for description of tumour growth based on an analogy with an SI epidemic model, where the susceptible individuals (S) would represent the healthy cells and the infected ones (I), the cancer cells. From this model, we obtain a curve describing the tumour volume as a function of time, which can be compared to available experimental data.

Abstract:
the study of euclidean steiner trees is one of the alternative methods to unveil nature's plans for the internal architecture of biomacromolecules. recently, the minimum surface structure of the a-dna and of the tobacco mosaic virus was shown to be described by a "strake" surface. these results have been substantiated by an explicit calculation of the steiner ratio function in a very restrictive modelling scheme. in the present work, we also introduce the measure of chirality as an essential part of a thermodynamical approach to model biomolecular structure. in a certain sense, the steiner ratio function is constrained by the chirality measure to assume a value dictated by nature. this value is a measure of the free energy of the molecular configuration.

Abstract:
We solve the Chapman-Kolmogorov equation and study the exact splitting probabilities of the general stochastic process which describes polymer translocation through membrane pores within the broad class of Markov chains. Transition probabilities which satisfy a specific balance constraint provide a refinement of the Chuang-Kantor-Kardar relaxation picture of translocation, allowing us to investigate finite size effects in the evaluation of dynamical scaling exponents. We find that (i) previous Langevin simulation results can be recovered only if corrections to the polymer mobility exponent are taken into account and that (ii) the dynamical scaling exponents have a slow approach to their predicted asymptotic values as the polymer's length increases. We also address, along with strong support from additional numerical simulations, a critical discussion which points in a clear way the viability of the Markov chain approach put forward in this work.

Abstract:
We perform, with the help of cloud computing resources, extensive Langevin simulations which provide compelling evidence in favor of a general markovian framework for unbiased polymer translocation. Our statistical analysis consists of careful evaluations of (i) two-point correlation functions of the translocation coordinate and (ii) the empirical probabilities of complete polymer translocation (taken as a function of the initial number of monomers on a given side of the membrane). We find good agreement with predictions derived from the Markov chain approach recently addressed in the literature by the present authors.

Abstract:
We perform, with the help of cloud computing resources, extensive Langevin simulations which provide free energy estimates for unbiased three dimensional polymer translocation. We employ the Jarzynski equality in its rigorous setting, to compute the variation of the free energy in single monomer translocation events. In our three-dimensional Langevin simulations, the excluded-volume and van der Waals interactions between beads (monomers and membrane atoms) are modeled through a repulsive Lennard-Jones (LJ) potential and consecutive monomers are subject to the Finite-Extension Nonlinear Elastic (FENE) potential. Analysing data for polymers with different lengths, the free energy profile is noted to have interesting finite size scaling properties.