Mesoscopic model for soft flowing systems with tunable viscosity ratio

We propose a mesoscopic model of binary fluid mixtures with tunable viscosity ratio based on a two-range pseudopotential lattice Boltzmann method, for the simulation of soft flowing systems. In addition to the short-range repulsive interaction between species in the classical single-range model, a competing mechanism between the short-range attractive and midrange repulsive interactions is imposed within each species.

Rayleigh-Taylor turbulence with singular nonuniform initial conditions

We perform direct numerical simulations of three-dimensional Rayleigh-Taylor turbulence with a nonuniform singular initial temperature background. In such conditions, the mixing layer evolves under the driving of a varying effective At wood number; the long-time growth is still self-similar, but no longer proportional to t(2) and depends on the singularity exponent c of the initial profile Delta T proportional to z(c). We show that universality is recovered when looking at the efficiency, defined as the ratio of the variation rates of the kinetic energy over the heat flux.

Geometric properties of particle trajectories in turbulent flows

We study the statistics of curvature and torsion of Lagrangian trajectories from direct numerical simulations of homogeneous and isotropic turbulence (at Re-lambda approximate to 280) in order to extract informations on the geometry of small-scale coherent structures in turbulent flows. We find that, as previously observed by Braun et al. (W. Braun, F. De Lillo, and B. Eckhardt, Geometry of particle paths in turbulent flows, J. Turbul. 7 (2006), p. 62) and Xu et al. (H. Xu, N.T. Ouellette, and E. Bodenschatz, Curvature of Lagrangian trajectories in turbulence, Phys. Rev. Lett. 98 (2007), p.

A rare mutation model in a spatial heterogeneous environment

We propose a stochastic model in evolutionary game theory where individuals (or subpopulations) can mutate changing their strategies randomly (but rarely) and explore the external environment. This environment affects the selective pressure by modifying the payoff arising from the interactions between strategies. We derive a Fokker-Planck integro-differential equation and provide Monte Carlo simulations for the Hawks vs Doves game. In particular we show that, in some cases, taking into account the external environment favors the persistence of the low-fitness strategy.

Gene Regulatory Network Modeling of Macrophage Differentiation Corroborates the Continuum Hypothesis of Polarization States

Macrophages derived from monocyte precursors undergo specific polarization processes which are influenced by the local tissue environment: classically-activated (M1) macrophages, with a pro-inflammatory activity and a role of effector cells in Th1 cellular immune responses, and alternatively-activated (M2) macrophages, with anti-inflammatory functions and involved in immunosuppression and tissue repair. At least three different subsets of M2 macrophages, namely M2a, M2b and M2c, are characterized in the literature based on their eliciting signals.

Estimates for fully anisotropic elliptic equations with a zero order term

Integral estimates for weak solutions to a class of Dirichlet problems for nonlinear, fully anisotropic, elliptic equations with a zero order term are obtained by symmetrization techniques. The anisotropy of the principal part of the operator is governed by a general n-dimensional Young function of the gradient which is not necessarily of polynomial type and need not satisfy the $\Delta_2$-condition.

A priori bounds for solutions to fully anisotropic elliptic equations

We are concerned with a priori estimates, in rearrangement form, for weak solutions to fully anisotropic, nonlinear elliptic equations with lower-order terms whose prototype is \begin{equation*} \left\{ \begin{array} [c]{lll} -\hbox{\rm div} \; (a(x, u, \nabla u)) + b(u)=f(x) & \qquad\hbox{\rm in\ } \Omega \\ u=0 & \qquad\text{on}\;\partial\Omega. \end{array} \right. \end{equation*} Here, $\Omega$ is an open bounded set in $\mathbb{R}^{N}$, with $N\geq2$, $a(x, \eta, \xi)$ is a Carath\'{e}odory function fulfilling \begin{equation*} a(x,\eta,\xi)\cdot\xi\geq\Phi\left( \xi\right) \qq

microRNAs as biomarkers in Pompe disease

Purpose: We studied microRNAs as potential biomarkers for Pompe disease. Methods: We analyzed microRNA expression by small RNA-seq in tissues from the disease murine model at two different ages (3 and 9 months), and in plasma from Pompe patients. Results: In the mouse model we found 211 microRNAs that were differentially expressed in gastrocnemii and 66 in heart, with a different pattern of expression at different ages. In a preliminary analysis in plasma from six patients 55 microRNAs were differentially expressed.