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Cellular & Molecular Immunology 2018年第12期15卷 1088-1090页

作者： Mahuya Sengupta Ramkrishna Pal Anupam Nath biswajit Chakraborty Leichombam Mohindro Singh biswajit das Sujit kumar Ghosh Department of Biotechnology Assam UniversitySilcharAssam 788011India Department of Chemistry Assam UniversitySilcharAssam 788011India

The use of the optoelectronic properties of noble metal nanoparticles has given a new dimension to the realm of cancer diagnosis and therapy(theranostics).The multifunctional catalytic properties and surface plasmon resonance of noble metal nanoparticles(NPs)along with their facile surface chemistry gives them an edge in the field of biology,including for immunotherapeutic *** a previous study,we reported the anticancer efficacy of silver NPs coated with murine serum albumin against fibrosarcoma in an in vivo mouse model,highlighting their role in eliciting oxystress and immune *** addition to addressing the bioavailability and toxicity parameters,our study reported that there was a significant reduction in the size,as well as a delay in the incidence of tumors with AgNP-MSA *** electron micrographs revealed AgNP-MSA uptake by sentinel immune cells associated with the tumor along with the downregulation of pro-tumorigenic inflammatory cytokines,such as TNF-α,IL-6 and IL-1β.

关键词： inflammatory diagnosis cytokine

Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics

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Journal of Ocean Engineering and Science 2022年第2期7卷 178-187页

作者： sachin kumar Amit kumar Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India Department of Mathematics Sri Vankateswara CollegeUniversity of DelhiDelhi 110021India

The physical principles of natural occurrences are frequently examined using nonlinear evolution equa-tions(NLEEs).Nonlinear equations are intensively investigated in mathematical physics,ocean physics,scientific applications,and marine *** paper investigates the Boiti-Leon-Manna-Pempinelli(BLMP)equation in(3+1)-dimensions,which describes fluid propagation and can be considered as a non-linear complex physical model for incompressible fluids in plasma *** four-dimensional BLMP equation is certainly a dynamical nonlinear evolution equation in real-world ***,we im-plement the generalized exponential rational function(GERF)method and the generalized Kudryashov method to obtain the exact closed-form solutions of the considered BLMP equation and construct novel solitary wave solutions,including hyperbolic and trigonometric functions,and exponential rational func-tions with arbitrary constant *** two efficient methods are applied to extracting solitary wave solutions,dark-bright solitons,singular solitons,combo singular solitons,periodic wave solutions,singular bell-shaped solitons,kink-shaped solitons,and rational form *** three-dimensional graphics of obtained exact analytic solutions are presented by considering the suitable choice of involved free ***,the established results verify the capability,efficiency,and trustworthiness of the implemented *** techniques are effective,authentic,and straightforward mathematical tools for obtaining closed-form solutions to nonlinear partial differential equations(NLPDEs)arising in nonlinear sciences,plasma physics,and fluid dynamics.

关键词： Closed-form solutions Generalized exponential rational function method Solitons Generalized Kudryashov method Solitary waves

Correction:Highly Efficient Back-End-of-Line Compatible Flexible Si-Based Optical Memristive Crossbar Array for Edge Neuromorphic Physiological Signal Processing and Bionic Machine Vision

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Nano-Micro Letters 2024年第12期16卷 133-133页

作者： Dayanand kumar Hanrui Li Dhananjay D.Kumbhar Manoj kumar Rajbhar Uttam kumar das Abdul Momin Syed Georgian Melinte Nazek El-Atab Smart Advanced Memory Devices and Applications(SAMA)LaboratoryElectrical and Computer EngineeringComputer Electrical Mathematical Science and EngineeringKing Abdullah University of Science and Technology(KAUST)23955-6900 ThuwalSaudi Arabia

Following publication of the original article[1],the authors noticed a mistake in the Supplementary file,more specifically in figures S11 and S12 where they used by mistake the same *** original article[1]has been cor... 详细信息

关键词： Mem Crossbar Highly

H_(∞) Load Frequency Control Design Based on Delay Discretization Approach for Interconnected Power Systems with Time Delay

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Journal of Modern Power Systems and Clean Energy 2021年第6期9卷 1468-1477页

作者： Subrat kumar Pradhan Dushmanta kumar das Department of Electrical and Electronics Engineering National Institute of Technology Nagaland

This paper proposes a delay discretization based H∞load frequency control strategy for interconnected power *** effect of time delay is considered in the system for the design of stabilizing *** improve the tolerable delay margin of the system,a two-term state feedback controller structure is *** controller requires delayed state information as control *** the proposed approach,the amount of delay introduced in the state of the system,i.e.,artificial delay,for taking control action is assumed to be *** approach is based on the discretization of this delay *** order to define a simple Lyapunov-Krasovskii(LK)function for each of the discretized interval,a stabilization criterion is developed in such a way that a single one satisfies the requirement of all the *** developed criterion is computationally simple and efficient.

关键词： Interconnected power system load frequency control(LFC) state feedback controller time delay

Study of exact analytical solutions and various wave profiles of a new extended(2+1)-dimensional Boussinesq equation using symmetry analysis

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Journal of Ocean Engineering and Science 2022年第5期7卷 475-484页

作者： sachin kumar Setu Rani Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi110007India

This paper systematically investigates the exact solutions to an extended(2+1)-dimensional Boussinesq equation,which arises in several physical applications,including the propagation of shallow-water waves,with the help of the Lie symmetry analysis *** acquired the vector fields,commutation relations,optimal systems,two stages of reductions,and exact solutions to the given equation by taking advantage of the Lie group *** method plays a crucial role to reduce the number of independent variables by one in each stage and finally forms an ODE which is solved by taking relevant suppositions and choosing the arbitrary constants that appear ***,Lie symmetry analysis(LSA)is implemented for perceiving the symmetries of the Boussinesq equation and then culminating the solitary wave *** behavior of the obtained results for multiple cases of symmetries is obtained in the present framework and demonstrated through three-and two-dimensional dynamical wave *** solutions show single soliton,multiple solitons,elastic behavior of combo soliton profiles,and stationary waves,as can be seen from the *** outcomes of the present investigation manifest that the considered scheme is systematic and significant to solve nonlinear evolution equations.

关键词： Boussinesq equation Lie group method Exact invariant solutions Solitons Optimal system

Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for a (2+1)-dimensional weakly coupled B-Type Kadomtsev-Petviashvili equations

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Journal of Ocean Engineering and Science 2023年第2期8卷 133-144页

作者： Setu Rani sachin kumar Raj kumar Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India Department of Mathematics Kirori Mal CollegeUniversity of DelhiDelhi 110007India

In the case of negligible viscosity and surface tension,the B-KP equation shows the evolution of quasione-dimensional shallow-water waves,and it is growingly used in ocean physics,marine engineering,plasma physics,optical fibers,surface and internal oceanic waves,Bose-Einstein condensation,ferromagnetics,and string *** to their importance and applications,many features and characteristics have been *** this work,we attempt to perform Lie symmetry reductions and closed-form solutions to the weakly coupled B-Type Kadomtsev-Petviashvili equation using the Lie classical ***,an optimal system based on one-dimensional subalgebras is constructed,and then all possible geometric vector yields are *** can reduce system order by employing the one-dimensional optimal ***,similarity reductions and exact solutions of the reduced equations,which include arbitrary independent functional parameters,have been *** newly established solutions can enhance our understanding of different nonlinear wave phenomena and *** threedimensional and two-dimensional graphical representations are used to determine the visual impact of the produced solutions with determined parameters to demonstrate their dynamical wave profiles for various examples of Lie *** new solitary waves,kink waves,multiple solitons,stripe soliton,and singular waveforms,as well as their propagation,have been demonstrated for the weakly coupled B-Type Kadomtsev-Petviashvili *** classical method is thus a powerful,robust,and fundamental scientific tool for dealing with *** simulations are also used to prove the effectiveness of the proposed approach.

关键词： Group-invariant solutions Solitary wave solutions Lie group theory Dynamical wave structures

A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment

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International Journal of Biomathematics 2020年第3期13卷 165-181页

作者： sachin kumar Abdon Atangana Government Mahatma Gandhi Memorial Post Graduate College Hoshangabad ItarsiIndia 461111 Faculty of Naturaland Agricultural Sciences Institute for Groundwater Studies University of the Free State Bloemfontein 9300 South Africa

Cancer belongs to the class of discascs which is symbolized by out of control cells *** cells affect DNAs and damage *** exist many treatments avail-able in medical science as radiation therapy,targeted therapy,surgery,palliative care and *** is one of the most popular treatments which depends on the type,location and grade of *** this paper,we are working on modeling and prediction of the effect of chemotherapy on cancer cells using a fractional differen-tial equation by using the differential operator in Caputos *** presented model depicts the interaction between tumor,norrnal and immune cells in a tumor by using a system of four coupled fractional partial differential equations(PDEs).For this system,initial conditions of tumor cells and dimensions are taken in such a way that tumor is spread out enough in size and can be detected easily with the clinical *** operational matrix method with Genocchi polynomials is applied to study this system of fractional PDFs(FPDEs).An operational matrix for *** differentiation is *** the collocation method and using this matrix,the nonlinear system is reduced to a system of algebraic equations,which can be solved using Newton iteration *** salient features of this paper are the pictorial presentations of the numerical solution of the concerned equation for different particular cases to show the effect of fractional exponent on diffusive nature of immune cells,tumor cells,normal cells and chemother-apeutic drug and depict the interaction among immune cells,normal cells and tumor cells in a tumor site.

关键词： Fractional PDE diffusion equation operational matrix Genocchi polynomial collocation method

Powder mixed electrochemical discharge process for micro machining of C103 niobium alloy

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Defence Technology（防务技术） 2023年第8期26卷 84-101页

作者： Niladri Mandal Nitesh kumar Alok kumar das Defence Research&Development Laboratory(DRDL)-DRDO HyderabadIndia Department of Mechanical Engineering Indian Institute of Technology(ISM)DhanbadIndia

This work demonstrates the viability of the powder-mixed micro-electrochemical discharge machining(PMECDM) process to fabricate micro-holes on C103 niobium-based alloy for high temperature *** processes are involved simultaneously *** erosion,chemical etching,and abrasive grinding for removal of material while the classical electrochemical discharge machining process involves double actions *** erosion,and chemical *** powder-mixed electrolyte process resulted in rapid material removal along with a better surface finish as compared to the classical microelectrochemical discharge machining(MECDM).Further,the results are optimized through a multiobjective optimization approach and study of the surface topography of the hole wall surface obtained at optimized *** the selected range of experimental parameters,PMECDM shows a higher material removal rate(MRR) and lower surface roughness(R_(a))(MRR:2.8 mg/min and R_(a) of 0.61 μm) as compared to the MECDM process(MRR:2.01 mg/min and corresponding Raof 1.11 μm).A detailed analysis of the results is presented in this paper.

关键词： Micro-electrochemical discharge machining C103 niobium alloy Surface integrity Material removal rate Hybrid powder mixed ECDM

Chaos detection in SIR model with modified Beddington–De Angelis type incidence rate and saturated treatment

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第6期12卷 56-74页

作者： Shikha Jain sachin kumar Department of Mathematics University of Delhi Delhi 110007India

In this paper, we construct an SIR epidemic model with a modified Beddington–DeAngelis type incidence rate and saturated treatment rate. We modify the incidence rateto incorporate the isolation of infected individuals after detection, and separation of somesusceptible individuals from the rest to avoid the infection, without an increase in thenumber of classes. We find that the system has a unique disease-free equilibrium (DFE)which is locally asymptotically stable when the reproduction number is less than *** multiple endemic equilibria may exist irrespective of the basic reproduction *** existence of bistability is encountered. Supercritical transcritical (forward), as wellas subcritical transcritical (backward) bifurcation, may occur at R0 = 1 where contactrate, β = β∗ acts as the bifurcation parameter. Therefore, DFE need not be globallystable. The conditions for the existence of Andronov–Hopf bifurcation are deduced withmaximum treatment capacity, c = c0 as the bifurcation parameter. The impacts of isolation of confirmed infected cases and separation of some susceptible from rest are studiednumerically as well as the effect of saturation in treatment. The existence of chaoticbehavior is deduced by showing the maximum Lyapunov exponent to be positive as wellas the sensitivity to initial conditions. The computation of the Kalpan–Yorke dimensionto be fractional confirms the existence of fractal-type strange attractor. The positiveKolmogorov–Sinai entropy further strengthens the claim of the existence of chaos.

关键词： Beddington–De Angelis type incidence rate saturated treatment stability bifurcation Lyapunov exponent chaos

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

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Journal of Ocean Engineering and Science 2022年第6期7卷 565-577页

作者： sachin kumar Monika Niwas Shubham kumar Dhiman Department of Mathematics Faculty of Mathematical SciencesUniversity of DelhiDelhi 110007India

The generalized exponential rational function(GERF)method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov(K S)*** K S equation depicts the occurrence of pressure waves in mixtures of liquid-gas bubbles while accounting for thermal expansion and *** applying the GERF method to the KS equation,we obtain analytic solutions in terms of trigonometric,hyperbolic,and exponential functions,among *** solutions include solitary wave solutions,dark-bright soliton solutions,singular soliton solutions,singular bell-shaped solutions,traveling wave solutions,rational form solutions,and periodic wave *** discuss the two-dimensional and three-dimensional graphics of some obtained solutions under the accurate range space by selecting appropriate values for the involved arbitrary parameters to make this research more *** obtained analytic wave solutions specify the GERF method’s dependability,capability,trustworthiness,and efficiency.

关键词： Solitary wave solutions Closed form solutions GERF technique Dynamical wave structures