We consider the problem of optimal recovery of solutions of the generalized heat equation in the unit ball. Information is given at two time instances, but inaccurate. The solution is to be constructed at some intermediate time. We provide the optimal error and present an algorithm which achieves this error level. The application of optimal recovery theory to problems of partial differential eq...

The purpose of this retrospective study was to analyze the clinical characteristics and document hearing recovery in patients with idiopathic sudden sensorineural hearing loss (ISSNHL). 122 patients diagnosed with unilateral ISSNHL, from March 2009 to December 2014, were treated with oral steroids and pentoxifylline. Hearing change was evaluated by comparing pre-treatment and post-treatment pur...

OBJECTIVE Sudden hearing loss in children under 15 years old is rare and its pathophysiology remains unclear. The aim of this retrospective study was to define prognostic factors of sudden hearing loss in children under 15 years old. METHODS Among the patients referred to our institution during the period 1990-1999 for sudden hearing loss, 12 children were considered eligible for this study (...

We conducted a retrospective statistical analysis of the Heyman, Saltzman, Whalen 1966 study of 22 stroke patients treated with hyperbaric oxygen (HBO2)--13 of them one to five hours post-stroke. We examined patients who received HBO2 treatment within seven hours post-stroke. An exploratory logistic regression analysis examining the influence of time post-stroke, time in chamber and dose of HBO...

We study extensions of compressive sensing and low rank matrix recovery (matrix completion) to the recovery of low rank tensors of higher order from a small number of linear measurements. While the theoretical understanding of low rank matrix recovery is already well-developed, only few contributions on the low rank tensor recovery problem are available so far. In this paper, we introduce versi...

various researches on laboratory and field scale illustrate that manipulating the ionic composition and the ion concentration of injected water can affect the efficiency of water flooding and the interaction of injected water with rock and other fluids present in porous media. the objectives of this paper are to investigate parameters that affect low salinity water flooding; mainly the effect o...

Invasive aspergillosis is a disease of the immunosuppressed patient. We describe two patients with acute lymphoblastic leukaemia who attained complete remission, with partial or complete bone marrow recovery, but who went on to develop fatal invasive aspergillosis contemporaneous with recovery of neutrophil counts. Quantitative recovery of peripheral blood neutrophil counts does not guarantee c...