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ON THE IMPROVED REGULARITY CRITERION OF THE SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Gala, Sadek Korean Mathematical Society 2020 대한수학회논문집 Vol.35 No.1
This note deals with the question of the regularity of (Leray) weak solutions of the Navier-Stokes equations in terms of the pressure. This criterion improves on the existing results.
CHARACTERIZATION OF THE MULTIPLIERS FROM Ḣ<sub>r</sub> TO Ḣ<sub>-r</sub>
Gala, Sadek,Sawano, Yoshihiro Korean Mathematical Society 2013 대한수학회보 Vol.50 No.3
In this paper, we will provide an alternative proof to characterize the pointwise multipliers which maps a Sobolev space $\dot{H}^r(\mathb{R}^d)$ to its dual $\dot{H}^{-r}(\mathb{R}^d)$ in the case 0 < $r$ < $\frac{d}{2}$ by a simple application of the definition of fractional Sobolev space. The proof relies on a method introduced by Maz'ya-Verbitsky [9] to prove the same result.
Facile Synthesis of Pyranoxanthones, Dihydropyranoxanthones, and Their Analogues
Gala Sri Hari,Yong Rok Lee 대한화학회 2011 Bulletin of the Korean Chemical Society Vol.32 No.8
This paper describes a concise and efficient synthetic route for the biologically interesting pyranoxanthones,dihydropyranoxanthones, and their derivatives. The key strategies involve pyranyl ring formation, methylation,catalytic hydrogenation, and catalytic dihydroxylation starting from 1,3-dihydroxyxanthen-9-one.
REGULARITY CRITERION ON WEAK SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
Gala, Sadek Korean Mathematical Society 2008 대한수학회지 Vol.45 No.2
Consider a weak solution u of the Navier-Stokes equations in the class $L^2((0,T);X_1(\mathbb{R}^d)^d)$. We establish a new approach to treat the regularity problem for the Navier-Stokes equation in term of the multiplier space $X_1(\mathbb{R}^d)$.
Galas, David J.,Hood, Leroy Korean Society for Bioinformatics 2009 Interdisciplinary Bio Central (IBC) Vol.1 No.2
We stand at the brink of a fundamental change in how medicine will be practiced. Over the next 5-20 years medicine will move from being largely reactive to being predictive, personalized, preventive and participatory (P4). Technology and new scientific strategies have always been the drivers of revolutions and this is certainly the case for P4 medicine, where a systems approach to disease, new and emerging technologies and powerful computational tools will open new windows for the investigation of disease. Systems approaches are driving the emergence of fascinating new technologies that will permit billions of measurements on each individual patient. The challenge for health information technology will be how to reduce this enormous amount of data to simple hypotheses about health and disease. We predict that emerging technologies, together with the systems approaches to diagnosis, therapy and prevention will lead to a down turn in the escalating costs of healthcare. In time we will be able to export P4 medicine to the developing world and it will become the foundation of global medicine. The "democratization" of healthcare will come from P4 medicine. Its first real emergence will require the unprecedented integration of biology, medicine, technology and computation. as well as societal issues of major importance: ethical, regulatory, public policy, economic, and others. In order to effectively move the P4 scientific agenda forward new strategic partnerships are now being created with the large-scale integration of complementary skills, technologies, computational tools, patient records and samples and analysis of societal issues. It is evident that the business plans of every sector of the healthcare industry will need to be entirely transformed over the next 10 years.and the extent to which this will be done by existing companies as opposed to newly created companies is a fascinating question.
Smeet Gala,심하나,Sook-Young Jeon,어윤재,이권선,권경우,배성윤 한국보건의료기술평가학회 2021 보건의료기술평가 Vol.9 No.1
Objectives: Due to the lack of an appropriate alternative vascular access device, peripherally inserted central catheter (PICCs) are used unnecessarily among patients who do not require longterm catheterization. Unnecessary use of PICCs can lead to catheter-related blood stream infections (CRBSIs) or other complications that pose a substantial clinical and economic burden on patients and healthcare systems. Introduction of midline catheters (MCs) provides a cost-saving option for patients who require mid-term catheterization. This study investigated the cost-difference of using MCs vs. PICCs following the inclusion of MCs on a reimbursement list in Korea. Methods: A costminimization analysis conducted from the healthcare system perspective compared the costs of device use, complications, and labor for MCs and PICCs in a Korean inpatient setting over a year. Clinical and cost inputs were obtained from literature searches and the Health Insurance Review and Assessment (HIRA) Service database. The base case assumed that MCs were not reimbursed and thus all patients received PICCs. The future scenario predicted total costs when MCs were reimbursed, leading to an increased use of MCs in clinical practice. Sensitivity analyses were conducted to identify key drivers of cost savings. Scenario analyses assessed cost savings when the estimated percentage of patients using MCs was altered in the model. Results: Introduction of MCs led to cost savings of KRW 9,374,456,648 over a year, attributed to lower device costs, lower rates of CRBSI, and shorter insertion time associated with MCs compared with PICCs. The mean duration of PICC insertion time, annual mean salary of healthcare professionals performing PICC insertions, and prevalence of CRBSI for PICCs were key drivers of cost savings. Cost savings were still observed when the percentage of patients receiving MCs was as low as 10% in the model. Conclusion: The availability of MCs presents a cost-saving option to patients who were receiving unnecessary PICCs for mid-term catheterization during hospitalization in Korea.
Facile Synthesis of Pyranoxanthones, Dihydropyranoxanthones, and Their Analogues
Hari, Gala Sri,Lee, Yong-Rok Korean Chemical Society 2011 Bulletin of the Korean Chemical Society Vol.32 No.suppl8
This paper describes a concise and efficient synthetic route for the biologically interesting pyranoxanthones, dihydropyranoxanthones, and their derivatives. The key strategies involve pyranyl ring formation, methylation, catalytic hydrogenation, and catalytic dihydroxylation starting from 1,3-dihydroxyxanthen-9-one.
Regularity criterion on weak solutions to the Navier-Stokes equations
Sadek Gala 대한수학회 2008 대한수학회지 Vol.45 No.2
Consider a weak solution u of the Navier-Stokes equations in the class L² [수식]. We establish a new approach to treat the regularity problem for the Navier-Stokes equation in term of the multiplier space X₁(Rd). Consider a weak solution u of the Navier-Stokes equations in the class L² [수식]. We establish a new approach to treat the regularity problem for the Navier-Stokes equation in term of the multiplier space X₁(Rd).