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Journal of Pharmaceutical Analysis 2015年第5期5卷 316-326页

作者： Abhishek Gandhi Swati Guttikar priti trivedi Bioanalytical Research Veeda Clinical Research Department of Pharmaceutical Chemistry K.B.Institute of Pharmaceutical Education and Research Department of Pharmaceutical Chemistry K.B. Institute of Pharmaceutical Education and Research

A sensitive and simultaneous liquid chromatography-tandem mass spectrometry method was developed and validated for quantification of ethinyl estradiol and levonorgestrel. The analytes were extracted with methyl-tert-butyl ether： n-hexane （50：50, v/v） solvent mixture, followed by dansyl derivatization. The chromatographic separation was performed on a Kinetex Cla （50 mm × 4.6 mm, 2.6 μm） column with a mobile phase of 0.1% （v/v） formic acid in water and acetonitrile in gradient composition. The mass transitions were monitored in electrospray positive ionization mode. The assay exhibited a linear range of 0.100-20.0 ng/mL for levonorgestrel and 4.00-500 pg/mL for ethinyl estradiol in human plasma. A run time of 9.0 min for each sample made it possible to analyze a throughput of more than 100 samples per day. The validated method has been successfully used to analyze human plasma samples for application in pharmacokinetic and bioequivalence studies.

关键词： Ethinyl estradiolLevonorgestrelLC-MS]MSHuman plasmaDerivatization

Study of parametric effect on saturation rate in imbibition phenomenon for various porous materials

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Journal of Ocean Engineering and Science 2024年第3期9卷 278-292页

作者： Pratiksha A.More priti V.Tandel Veer Narmad South Gujarat University SuratGujaratIndia

The mathematical model of imbibition phenomenon through homogeneous as well as heterogeneous porous media is presented in this *** types of porous materials including Fragmented Mixture,Touchet silt loam,and Glass Beads are investigated and discussed in terms of the relative permeability,capillarity,and heterogeneity of the material on saturation rate of a *** the present model,the comparison of saturation level for different time and distance level have been discussed between homogeneous and heterogeneous porous medium for various types of *** reduced differential transform method(RDTM)is used to obtain approximate analytical solution of the proposed *** and graphical results are presented for a wide range of time and distance.

关键词： Imbibition Purcell relative permeability model Reduced differential transform method Secondary oil recovery

Evaluation of Rainfall Tendency for the Twentieth Century over Indira Sagar Region in Central India

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American Journal of Climate Change 2024年第1期13卷 47-68页

作者： Rituraj Shukla Deepak Khare Ramesh P. Rudra priti Tiwari Himanshu Sharma Prasad Daggupati Pradeep Goel School of Engineering University of Guelph Guelph Canada Department of Water Resources Development and Management Indian Institute of Technology Roorkee India Indira Gandhi Agricultural University Raipur India Department of Civil Engineering Institute of Infrastructure Technology Research and Management (IITRAM) Ahmedabad India

The study investigates long-term changes in annual and seasonal rainfall patterns in the Indira Sagar Region of Madhya Pradesh, India, from 1901 to 2010. Agriculture sustainability, food supply, natural resource development, and hydropower system reliability in the region rely heavily on monsoon rainfall. Monthly rainfall data from three stations (East Nimar, Barwani, and West Nimar) were analyzed. Initially, the pre-whitening method was applied to eliminate serial correlation effects from the rainfall data series. Subsequently, statistical trends in annual and seasonal rainfall were assessed using both parametric (student-t test) and non-parametric tests [Mann-Kendall, Sen’s slope estimator, and Cumulative Sum (CUSUM)]. The magnitude of the rainfall trend was determined using Theil-Sen’s slope estimator. Spatial analysis of the Mann-Kendall test on an annual basis revealed a statistically insignificant decreasing trend for Barwani and East Nimar and an increasing trend for West Nimar. On a seasonal basis, the monsoon season contributes a significant percentage (88.33%) to the total annual rainfall. The CUSUM test results indicated a shift change detection in annual rainfall data for Barwani in 1997, while shifts were observed in West and East Nimar stations in 1929. These findings offer valuable insights into regional rainfall behavior, aiding in the planning and management of water resources and ecological systems.

关键词： Precipitation Parametric Non-Parametric Tests Trend Analysis Serial Correlations

Explainable AI Enabled Infant Mortality Prediction Based on Neonatal Sepsis

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Computer Systems Science & Engineering 2023年第1期44卷 311-325页

作者： priti Shaw Kaustubh Pachpor Suresh Sankaranarayanan Barclays Bank Bund Garden RoadPune411001India University of Illinois 60607IllinoisUSA SRM Institute of Science and Technology Chennai603203India

Neonatal sepsis is the third most common cause of neonatal mortality and a serious public health problem,especially in developing *** have been researches on human sepsis,vaccine response,and ***,machine learning methodologies were used for predicting infant mortality based on certain features like age,birth weight,gestational weeks,and Appearance,Pulse,Grimace,Activity and Respiration(APGAR)***,which is considered the most determining condition towards infant mortality,has never been considered for mortality ***,we have deployed a deep neural model which is the state of art and performed a comparative analysis of machine learning models to predict the mortality among infants based on the most important features including ***,for assessing the prediction reliability of deep neural model which is a black box,Explainable AI models like Dalex and Lime have been *** would help any non-technical personnel like doctors and practitioners to understand and accordingly make decisions.

关键词： APGAR sepsis explainable AI machine learning

SYNTHESIS,CHARACTERIZATION OF DIAMIDE-DIIMIDE-DIAMINES BASED ON L-CYSTEINE AMINO ACID AND THEIR EFFECT ON THE THERMAL PROPERTIES OF DIGLYCIDYL ETHER OF BISPHENOL-A(DGEBA)

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Chinese Journal of Polymer Science 2009年第5期27卷 647-658页

作者： Darshan priti Malhotra A.K.Narula School of Basic and Applied Sciences GGS Indraprastha University Chemistry Dept. Daulat Ram CollegeUniversity of Delhi School of Basic and Applied Sciences GGS Indraprastha UniversityKashmere Gate

The curing behavior of diglycidyl ether of bisphenol-A(DGEBA) with aromatic diamide-diimide-diamines having aryl ether,sulfone and methylene linkages was studied by differential scanning calorimetry(DSC).Nine diamide-diimide-diamines of varying structure were synthesized by reacting 1 mole of dianhydride with 2 moles of L-cysteine(S) in a mixture of acetic acid and pyridine(3:2 V/V) followed by activation with thionyl chloride(SOCl_2) and then condensation with excess of *** characterization...

关键词： Curing Diamide-diimide-diamines DGEBA Thermal stability Char yield.

Tsunami wave propagation model:A fractional approach

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Journal of Ocean Engineering and Science 2022年第6期7卷 509-520页

作者： priti Tandel Hardik Patel Trushit Patel Department of Mathematics Veer Narmad South Gujarat UniversitySuratGujaratIndia Department of Mathematics Uka Tarsadia UniversityBardoliGujaratIndia Department of Mathematics Veermata Jijabai Technological InstituteMumbaiIndia

This paper presents a fractional approach to study the mathematical model of tsunami wave propagation along a coastline of an *** Reduced Differential Transform Method(FRDTM)is used to analyze this *** present model has been studied on the shallow-water *** is represented by a time-fractional coupled system of non-linear partial differential *** to the proposed model for different coastal slopes and ocean depths have been *** of coast slope and sea depth variations on tsunami wave velocity and wave amplification have been demonstrated at different time levels and different ordersα.The obtained results are compared with Elzaki Adomian Decomposition Method(EADM)to validate the proposed method for an orderα=1.

关键词： Tsunami wave Shallow water Time-fractional coupled system of partial differential equations Fractional reduced differential transform method(FRDTM)

Fractional-Order Model of the Disease Psoriasis:A Control Based Mathematical Approach

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Journal of Systems Science & Complexity 2016年第6期29卷 1565-1584页

作者： CAO Xianbing DATTA Abhirup AL BASIR Fahad ROY priti Kumar College of Science Beijing Technology and Business University Centre for Mathematical Biology and Ecology Department of MathematicsJadavpur University

Autoimmune diseases are generated through irregular immune response of the human body. Psoriasis is one type of autoimmune chronic skin diseases that is differentiated by T-Cells mediated hyper-proliferation of epidermal Keratinocytes. Dendritic Cells and CD8＋ T-Cells have a significant role for the occurrence of this disease. In this paper, the authors have developed a mathematical model of Psoriasis involving CD4＋ T-Cells, Dendritic Ceils, CD8＋ T-Cells and Keratinocyte cell populations using the fractional differential equations with the effect of Cytokine release to observe the impact of memory on the cell-biological system. Using fractional calculus, the authors try to explore the suppressed memory, associated with the cell-biological system and to locate the position of Keratinocyte cell population as fractional derivative possess non-local property. Thus, the dynamics of Psoriasis can be predicted in a better way using fractional differential equations rather than its corresponding integer order model. Finally, the authors introduce drug into the system to obstruct the interaction between CD4＋ T-Cells and Keratinocytes to restrict the disease Psoriasis. The authors derive the Euler-Lagrange conditions for the optimality made through Matlab by developing iterative of the drug induced system. Numerical simulations are schemes.

关键词： Fractional differential equations (FDEs) memory optimal control problem pMHC Pso-riasis.

Mathematical Study of A Memory Induced Biochemical System

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IEEE/CAA Journal of Automatica Sinica 2018年第6期5卷 1142-1149页

作者： Mithun Kumar Ghosh Tridip Sardar Xianbing Cao priti Kumar Roy Centre for Mathematical Biology and Ecology Department of MathematicsJadavpur University Department of Mathematics Dinabondhu Andrews College College of Science Beijing Technology and Business University

In this work, to study the effect of memory on a bi-substrate enzyme kinetic reaction, we have introduced an approach to fractionalize the system, considering it as a threecompartmental model. Solutions of the fractionalized system are compared with the corresponding integer-order model. The equilibrium points of the fractionalized system are derived analytically. Their stability properties are discussed from numerical aspect. We determine the changes of the substances due to the changes of "memory effect". The effect is discussed critically from the perspective of product formation. We have also analyzed the memory induced system with a control measure in view of optimizing the product. Our numerical result reveals that the solutions of the fractionalized system, when it is free from memory, are in good agreement with the integer-order *** is noticed that the effect of memory influences the reaction in the forward direction and assists in yielding the product more quickly. However, an extensive use of memory makes the system slower, but introduction of a control input makes the reaction faster. It is possible to overcome the slowness of the reaction due to the undue effect of memory by appropriate use of a control measure.

关键词： Bi-substrate enzymatic reaction compartmental system control theoretic approach fractional-order differential equations memory effect

Power consumption model of sector breathing based congestion control in mobile network

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Digital Communications and Networks 2018年第3期4卷 217-233页

作者： Anwesha Mukherjee Debashis De priti Deb Department of Computer Science and Engineering West Bengal University of Technology BF-142 Sector1 Salt Lake City golkata 700064 India

According to Cooper＇s law, the number of conversations per location doubles every two and a half years. Therefore, congestion control has become a promising research area. Nowadays small cell deployment has become a solution to deal with congestion. If large numbers of small cells are allocated for congestion control, then two critical issues will arise： densification and interference management. In such a scenario sector breathing can offer low power congestion control by avoiding densification problem. This paper proposes a power consumption model for sector breathing based congestion control in a mobile network. With sector breathing, a congested cell is sectored at an angle of 60° or 120°. The congested sectors are then identified. The lightly loaded neighbour cells of the congested sector are sectored at 60°. The sectors of the lightly loaded cell capture the border region customers of the adjacent congested sector by increasing the coverage area. When the transmitter antenna of the adjacent lightly loaded sector expands coverage to provide service to the subscribers residing at the border region of the congested sector, the transmitter antenna of the congested sector reduces its coverage area. The simulation results indicate that sector breathing reduces the power transmission of the BS antennas by approximately 6-75% and 62-75% compared cell breathing and dense femtocell allocation based congestion controls respectively. Simulation results also show that sector breathing reduces the power consumption of the BS antennas by approximately 6-64% and 8240% compared with the cell breathing and dense femtocell allocation based congestion controls, respectively. Hence sector breathing is a green congestion control approach.

关键词： Cell breathing Sectoring Power Interference

SATURATION EFFECTS FOR CTL MEDIATED CONTROL OF HIV-1 INFECTION： A MATHEMATICAL STUDY

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International Journal of Biomathematics 2013年第3期6卷 33-51页

作者： priti KUMAR ROY SONIA CHOWDHURY XUE-ZHI LI Centre for Mathematical Biology and EcologyDepartment of Mathematics Jadavpur University Kolkata 700032 India Department of Mathematics Xinyang Normal UniversityXinyang 464000 P. R. China

The relations between the Human Immunodeficiency Virus-1 （HIV-1） and the human immune system are astonishingly multifaceted, where the critical role for cytotoxic T lymphocytes （CTLs） in the suppression of viral replication in HIV-1 infected individuals cannot be ignored. In this research paper, we have proposed a mathematical model incorporating half saturation constant through the CTL mediated killing process and also in that sense, it has been infiltrated in the generation process of CTL through infected cells. To make the model more realistic, a time lag is introduced in the generation term of CTL population. Also an optimal control theory paradigm is used in our mathematical model to suppress the viral production. From our entire analysis, we have found threshold condition of half saturation constant and treatment schedule so that we can handle the situation of Acquired Immunodeficiency Syndrome （AIDS） patients in a better way. Our analysis reveals that, if the half saturation constant is around 47 mm^-3 in the saturation process and the drug therapy is to be used around 76 days, then we can get adequate results for better treatment of a HIV-1 patient. Based on numerical results, we observed that in a highly unstable situation, administration of chemotherapy at a high dose can stabilize the system.

关键词： CD4^+T cells HIV-1 Cytotoxic T-Lymphocyte (CTL) highly active antiretroviral therapy optimal control.