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Stability analysis of drugdynamics model: A mat hematical approach

International Journal of Biomathematics 2019年第4期12卷 153-184页

作者： Koyel Chakravarty D.C.dalal Department of Mathematics Indian Institute of Technology Guwahati Guwahati 781039 India Faculty of Science and Technology ICFAI University TripuraTripura 799210India

In this paper, a mathematical model of drug release from polymeric matrix and consequent intracellular drug transport is proposed and analyzed. Modeling of drug release is done through solubilization dynamics of drug particles, diffusion of the solubilized drug through the polymeric matrix in addition to reversible dissociation/recrystallization process. The interaction between drug-receptor, drug-plasma proteins along with other intracellular endosomal events is modeled. This leads to a mixed system of partial and ordinary differential equations with associated pertinent set of initial and boundary conditions. Furthermore, besides the stability of the proposed model, several sub-models are also studied for their stability criteria. Prominence is provided to the reduced model system having requisite relevance to the original system where quasi steady state approximation (QSSA) theory is utilized. For the model to be potent enough to generate appropriate predictive results for drug delivery, the stability properties of equilibrium in the mathematical model are analyzed both analytically and numerically. Numerical simulation in the embodiment of graphical representations speaks about various vital characteristics of the underlying physical phenomena along with the importance and sensitized impact of the model parameters controlling significant biological functions. Probed new therapies and clinical procedures could be assessed considering the present mathematical model and its analysis as the basis framework in order to effectively enhance therapeutic efficacy and improved patient compliance. The present study confirms the necessity of stability analysis study so that advocated mathematical model can effectively complement the real physiological behavior of pharmacokinetics.

关键词： Mathematical model drug polymeric matrix endosomal events quasi steady state approximation (QSSA) stability

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Green synthesis of bentonite-supported iron nanoparticles as a heterogeneous Fenton-like catalyst:Kinetics of decolorization of reactive blue 238 dye

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Water Science and Engineering 2020年第4期13卷 286-298页

作者： Ahmed Khudhair Hassan Ghayda Yaseen Al-Kindi dalal Ghanim Environment and Water Directorate Ministry of Science and TechnologyBaghdad 10070Iraq Sanitary and Environmental Branch Civil Engineering DepartmentUniversity of TechnologyBaghdad 10009Iraq

This study aimed to synthesize green tea nano zero-valent iron(GT-NZVI)and bentonite-supported green tea nano zero-valent iron(BGT-NZVI)nanoparticles using green tea extracts in an environmentally sustainable *** was used as a support material because it disperses and stabilizes GT-NZVI,and it helps to reduce the cost,increase the adsorption capacity of GT-NZVI,and decrease the optimum amount of GT-NZVI used in Fenton-like oxidation.A scanning electron microscope,an atomic force microscope,and a Fourier transform infrared spectroscope were used to characterize GT-NZVI and B-GT-NZVI,while the zeta potential was measured to evaluate the stability of iron *** decolorization kinetics of reactive blue 238(RB 238)dye in the aqueous phase in the Fenton-like oxidation process were investigated as *** effects of various experimental conditions such as reaction time,dosages of catalysts,concentration of H2O2,temperature,addition of inorganic salts,and other parameters were *** results show that the oxidative degradation efficiencies of RB 238 dye catalyzed by GT-NZVI and B-GT-NZVI were 93.5%and 96.2%,respectively,at the optimum reaction conditions as follows:c(H2O2)¼5 mmol/L,r(GT-NZVI)¼0.5 g/L or r(B-GT-NZVI)¼0.5 g/L,c(RB 238 dye)¼0.05 mmol/L,and pH¼2.5 at 180 *** best catalytic performance was exhibited when B-GT-NZVI was *** kinetic models were employed,and the second-order model was found to be the best model representing the experimental kinetic data of RB 238 *** value of activation energy decreased from 38.22 kJ/mol for GT-NZVI to 14.13 kJ/mol for *** indicates that the effect of B-GT-NZVI in decreasing the energy barrier is more pronounced than that of the GT-NZVI catalyst,leading to improved Fenton-like oxidation processes.©2020 Hohai *** and hosting by Elsevier *** is an open access article under the CC BY-NC-ND license(http://***/licenses/by-nc-nd/4.0/).

关键词： Green synthesis Bentonite-supported iron nanoparticles Azo dye Fenton-like process Kinetics

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Hybrid XGBoost model with hyperparameter tuning for prediction of liver disease with better accuracy

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World Journal of Gastroenterology 2022年第46期28卷 6551-6563页

作者： Surjeet dalal Edeh Michael Onyema Amit Malik Department of CSE Amity UniversityGurugram 122413HaryanaIndia Department of Mathematics and Computer Science Coal City UniversityEnugu 400102Nigeria Department of CSE SRM UniversityDelhi-NCRSonipat 131001HaryanaIndia

BACKGROUND Liver disease indicates any pathology that can harm or destroy the liver or prevent it from normal *** global community has recently witnessed an increase in the mortality rate due to liver *** could be attributed to many factors,among which are human habits,awareness issues,poor healthcare,and late *** curb the growing threats from liver disease,early detection is critical to help reduce the risks and improve treatment *** technologies such as machine learning,as shown in this study,could be deployed to assist in enhancing its prediction and *** To present a more efficient system for timely prediction of liver disease using a hybrid eXtreme Gradient Boosting model with hyperparameter tuning with a view to assist in early detection,diagnosis,and reduction of risks and mortality associated with the *** The dataset used in this study consisted of 416 people with liver problems and 167 with no such *** data were collected from the state of Andhra Pradesh,India,through https://***/datasets/uciml/*** population was divided into two sets depending on the disease state of the *** binary information was recorded in the attribute"is_patient".RESULTS The results indicated that the chi-square automated interaction detection and classification and regression trees models achieved an accuracy level of 71.36%and 73.24%,respectively,which was much better than the conventional *** proposed solution would assist patients and physicians in tackling the problem of liver disease and ensuring that cases are detected early to prevent it from developing into cirrhosis(scarring)and to enhance the survival of *** study showed the potential of machine learning in health care,especially as it concerns disease prediction and *** This study contributed to the knowledge of machine learning application to health and to the efforts to

关键词： Liver infection Machine learning Chi-square automated interaction detection Classification and regression trees Decision tree XGBoost Hyperparameter tuning

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An analytical study of drug release kinetics from a degradable polymeric matrix

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International Journal of Biomathematics 2018年第1期11卷 255-277页

作者： Koyel Chakravarty D. C. dalal Department of MathematicsIndian Institute of Technology Guwahati Guwahati 781039 India

In modern days, biodegradable polymeric matrix used as the kingpin of local drug delivery system is in the center of attention. This work is concentrated on the formulation of mathematical model elucidating degradation of drug-loaded polymeric matrix followed by drug release to the adjacent biological tissues. Polymeric degradation is penciled with mass conservation equations. Drug release phenomenon is modeled by considering solubilization dynamics of drug particles, diffusion of the solubilized drug through polymeric matrix along with reversible dissociation/recrystallization process. In the tissue phase, reversible dissociation/association along with internalization processes of drug are taken into account. For this, a two-phase spatio-temporal model is postu- lated, which has ensued to a system of partial differential equations. They are solved analytically with appropriate choice of initial, interface and boundary conditions. In order to reflect the potency of the advocated model, the simulated results are analogized with corresponding experimental data and found laudable agreement so as to validate the applicability of the model considered. This model seems to foster the delicacy of the mantle enacted by important drug kinetic parameters such as diffusion coefficients, mass transfer coefficients, particle binding and internalization parameters, which is illustrated through local sensitivity analysis.

关键词： Solubilization internalization tissues.

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On the Enhanced Power Graph of a Semigroup

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Algebra Colloquium 2024年第1期31卷 83-96页

作者： Sandeep dalal Jitender Kumart Siddharth Singh Department of Mathematics Birla Institute of Technology and Science Pilani PilaniIndia

The enhanced power graph P_(E)(S)of a semigroup S is a simple graph whose vertex set is S and two vertices a,y∈S are adjacent if and only if c,y∈(z)for some z∈S,where(z)is the subsemigroup generated by *** this paper,we first describe the structure of P_(E)(S)for an arbitrary semigroup S,and then discuss the connectedness of P_(E)(S).Further,we characterize the semigroup S in the cases when P_(E)(S)is separately a complete,bipartite,regular,tree and null *** planarity,together with the minimum degree and independence number,of P_(E)(S)is also *** chromatic number of a spanning subgraph,i.e.,the cyclic graph,of P_(E)(S)is proved to be *** the final part of this paper,we construct an example of a semigroup S such that the chromatic number of P_(E)(S)need not be countable.

关键词： monogenic semigroup completely regular semigroup planar graph enhanced powergraph

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Biomimetic approach for the synthesis of N,N'-diarylsubstituted formamidines catalyzed by β-cyclodextrin in water

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Chinese Chemical Letters 2012年第10期23卷 1125-1128页

作者： Dipak R.Patil Dipak S.dalal Department of Organic Chemistry North Maharashtra UniversityJalgaon 425001M.S.India

An environmentally benign and highly efficient biomimetic approach for the synthesis of N,N＇-diarylsubstituted formamidines in water catalyzed β-cyclodextrin is described under neutral condition with quantitative yi... 详细信息

关键词： β-Cyclodextrin (β-CD) N,N'-Diarylsubstituted formamidines

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Advantages and disadvantages of nuclear reactions used in reactors or cyclotrons,in addition to a theoretical study based on photodisintegration on natural indium for^(111)Ag production

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Nuclear Science and Techniques 2022年第2期33卷 1-13页

作者： Khaled M.El-Azony Nader M.A.Mohamed dalal A.Aloraini Radioactive Isotopes and Generators Department Hot Labs.CenterEgyptian Atomic Energy AuthorityP.O.Box 13759CairoEgypt Reactors Department Egyptian Atomic Energy AuthorityP.O.Box 13759CairoEgypt Physics Department College of SciencePrincess Nourah Bint Abdulrahman UniversityRiyadhKingdom of Saudi Arabia

Production routes were recorded on available reactions for^(111)Ag production from nuclear reactors or cyclotrons using a natural palladium target based on^(110)Pd(n,γ)and^(110)pd(d,n)reactions,respectively.^(nat)Cd(γ,x)based on^(110)Cd(γ,p)has also been studied as a prospective reaction for the production of^(111)***,these nuclear reactions are difficult to utilize because,in some cases,they reduce the specific activity of^(111)*** is a consequence of the stable silver isotopes produced in high *** isotopes include^(107,109)Ag and,in other cases,the high impurity of silver radioisotopes,such as^(110)m,^(106)m,^(105)Ag,that are produced during parallel nuclear *** to a scarcity of data regarding the(γ,α)reaction,the gamma reaction on natural indium for^(111)Ag production based on the^(115)In(γ,α)reaction was *** ^(nat)In(γ,α)reaction satisfies the criteria as a possible reaction to produce^(111)Ag with a sufficient yield and purity as consequence of the high^(115)In(95.7%)abundance as an enriched form and a relatively soft background caused by the parallel nuclear reactions.

关键词： Silver-111 Nuclear data Natural cadmium Natural palladium Natural indium

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Consensus controller for multi-UAV navigation

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Control Theory and Technology 2018年第2期16卷 110-121页

作者： Patrik KOLARIC Ci CHEN Ankur dalal Frank L. LEWIS UTA Research Institute University of Texas at Arlington 7300 Jack Newell Bird S Fort Worth TX 76118 U.S.A. School of Automation Guangdong University of Technology Guangdong Key Laboratory of loT Information Technology Guangzhou Guangzhou 510006 China State Key Laboratory of Synthetical Automation for Process Industries Northeastern University Shenyang Liaoning 110819 China

In this paper, we design consensus algorithms for multiple unmanned aerial vehicles （UAV）. We mainly focus on the control design in the face of measurement noise and propose a position consensus controller based on the sliding mode control by using the distributed UAV information. Within the framework of Lyapunov theory, it is shown that all signals in the closed-loop multi- UAV systems are stabilized by the proposed algorithm, while consensus errors are uniformly ultimately bounded. Moreover, for each local UAV, we propose a mechanism to define the trustworthiness, based on which the edge weights are tuned to eliminate negative influence from stubborn agents or agents exposed to extremely noisy measurement. Finally, we develop software for a nano UAV platform, based on which we implement our algorithms to address measurement noises in UAV flight tests. The experimental results validate the effectiveness of the proposed algorithms.

关键词： Consensus control multi-agent system quadrotor Lyapunov stability distributed system

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Effect of routine iron supplementation on copper level and oxidative stress status in pregnant women

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Asian pacific Journal of Reproduction 2020年第2期9卷 64-69页

作者： Derouiche Samir Doudi dalal Atia Noura Department of Cellular and Molecular Biology Faculty of the Sciences of Nature and LifeEl Oued UniversityEl Oued 39000El OuedAlgeria Laboratory of Biodiversity and Application of Biotechnology in the Agricultural Field Faculty of the Sciences of Nature and LifeUniversity of El OuedEl-Oued 39000Algeria

Objective:To determine the effects of routine iron supplementation on oxidative stress markers in pregnant ***:This study enrolled 122 pregnant women aged between 20-38 years throughout three stages of pregnancy:beginning with pregnancy,until the twentieth week and up to the thirtieth *** were divided into two groups:61 pregnant women not supplemented with iron(the control group),and 61 pregnant women supplemented with iron(the iron group).Blood samples were collected and protein,iron,uric acid,total bilirubin level and oxidative stress status were estimated using molecular spectrophotometric *** levels were estimated by using atomic absorption spectroscopy ***:Iron,protein and copper concentrations were significantly increased(P<0.05)at 20 and 30 weeks of pregnancy and hemoglobin level was significantly increased(P<0.05)at the beginning of pregnancy and until 20 weeks in the iron group compared to the control *** addition,levels of serum uric acid,serum total bilirubin and malondialdehyde in serum and erythrocytes were significantly increased at 20 and 30 weeks of pregnancy whereas the reduced glutathione level was significantly decreased in serum(30 weeks of pregnancy)and erythrocytes(20 and 30 weeks of pregnancy)in the iron group as compared to the control *** oxygen radical absorbance capacity was not significantly *** was a significant positive correlation between serum iron level and serum copper,malondialdehyde level in serum and erythrocytes in pregnant women supplemented with ***:Iron supplement at 20 and 30 weeks of pregnancy plays a role in the development of oxidative stress which is the origin of several maternal-fetal complications.

关键词： Pregnancy Iron Copper Oxidative stress Women

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Posterior reversible encephalopathy syndrome in alcoholic hepatitis:Hepatic encephalopathy a common theme

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World Journal of Gastroenterology 2017年第2期23卷 373-376页

作者： Elizabeth S John Ramy Sedhom Ishita dalal Ranita Sharma Department of Medicine Rutgers Robert Wood Johnson Medical SchoolNew BrunswickNJ 08901United States

Posterior reversible encephalopathy syndrome(PRES) is a neuro-radiologic diagnosis that has become more widely recognized and reported over the past few decades. As such, there are a number of known risk factors that contribute to the development of this syndrome, including volatile blood pressures, renal failure, cytotoxic drugs, autoimmune disorders, pre-eclampsia, and eclampsia. This report documents the first reported case of PRES in a patient with severe alcoholic hepatitis with hepatic encephalopathy and delves into a molecular pathophysiology of the syndrome.

关键词： Alcoholic hepatitis Hepatic encephalopathy Posterior reversible encephalopathy syndrome Seizure Headaches

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