Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model

In this paper we introduce and analyze an algorithm for continuous data assimilation for a three-dimensional Brinkman-Forchheimer-extended Darcy (3D BFeD) model of porous media. This model is believed to be accurate when the flow velocity is too large for Darcy's law to be valid, and additionally the porosity is not too small. The algorithm is inspired by ideas developed for designing finite-parameters feedback control for dissipative systems. It aims to obtaining improved estimates of the state of the physical system by incorporating deterministic or noisy measurements and observations. Specifically, the algorithm involves a feedback control that nudges the large scales of the approximate solution toward those of the reference solution associated with the spatial measurements. In the first part of the paper, we present few results of existence and uniqueness of weak and strong solutions of the 3D BFeD system. The second part is devoted to the setting and convergence analysis of the data assimilation algorithm

P53 and Ki67 biomarkers as prognostic factors of non small cell lung carcinoma

Biomolecular behavior of tumor cells has become attractive to investigators. p53 as an oncosuppresor gene has been core of various studies and Ki67 is a nuclear protein involved in proliferation process. Stopping of onco-suppressor function theoretically allows proliferative system to get out of any control. In this case-control study we evaluated 50 patients with non small cell lung cancer, considering the association between P53 oncoprotein and Ki67 with rate of tumoral cells differentiation. We found the concurrent move of P53 and Ki67 according to the rate of differentiation and a significant risk (odds ratio) for being poorly differentiated in samples having higher rates of these two factors. We suppose that mutant P53 protein not only may be used as an objective finding for tumor grading, but probably as a practical point of approach for determining prognosis and planning therapy for this patients

Global Well-Posedness of a 3D MHD Model in Porous Media

In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our system involves a nonlinear damping term in the momentum equations due to the "Brinkman-Forcheimer-extended-Darcy" law of flow in porous media

Language Trajectory through Corrective Feedback

This quasi-experimental study was designed to investigate the effects of corrective feedback on SLA/EFL to determine the potential benefits of two different corrective feedback techniques, namely recasts and elicitation. The research hypotheses were: 1) Learners who are exposed to interactive focused task that requires CR will benefit more than those who are exposed to communicative activities only; 2) Elicitation will be more effective than recasts in leading to L2 development; Three intensive EFL classes in a language center in Songkhla province, Thailand were selected to participate in the study. Based on the study design, two class were assigned to the treatment conditions elicitation group and recasts group and the third was used as a control group. The treatment took place over a period of 9 meetings focusing on teaching third person singular –s morpheme and the provision of CF where it was necessary. The participants' knowledge of the intended syntantic point was tested before treatment and post tested after receiving the treatment. A multiple choice and focused-cloze reading grammar test was used in the pre-test and the post-test to evaluate the effects of the treatments on the learners' acquisition of third person singular morpheme. This classroom-based study showed that the two treatment groups benefited from CF strategies, but according to the study, elicitation group outperformed the recast one

Distributed state estimation in sensor networks with randomly occurring nonlinearities subject to time delays

This is the post-print version of the Article. The official published version can be accessed from the links below - Copyright @ 2012 ACM.This article is concerned with a new distributed state estimation problem for a class of dynamical systems in sensor networks. The target plant is described by a set of differential equations disturbed by a Brownian motion and randomly occurring nonlinearities (RONs) subject to time delays. The RONs are investigated here to reflect network-induced randomly occurring regulation of the delayed states on the current ones. Through available measurement output transmitted from the sensors, a distributed state estimator is designed to estimate the states of the target system, where each sensor can communicate with the neighboring sensors according to the given topology by means of a directed graph. The state estimation is carried out in a distributed way and is therefore applicable to online application. By resorting to the Lyapunov functional combined with stochastic analysis techniques, several delay-dependent criteria are established that not only ensure the estimation error to be globally asymptotically stable in the mean square, but also guarantee the existence of the desired estimator gains that can then be explicitly expressed when certain matrix inequalities are solved. A numerical example is given to verify the designed distributed state estimators.This work was supported in part by the National Natural Science Foundation of China under Grants 61028008, 60804028 and 61174136, the Qing Lan Project of Jiangsu Province of China, the Project sponsored by SRF for ROCS of SEM of China, the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant GR/S27658/01, the Royal Society of the UK, and the Alexander von Humboldt Foundation of Germany