Research Papers Published

• "Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity" Egyptian Journal of Mathematics, Elsevier, 22(1): 152 -155 {ISSN: 110-256X} Impact Factor=
• "Mathematical Study of Transient Heat Distribution in Human Eye Using Laplace Transform" International Journal of Modern Mathematical Sciences, 9(2): 118 -127 {ISSN: 2166-286X} Impact Factor=
• "Numerical estimation of the fluid distribution pattern in human dermal regions with heterogeneous metabolic fluid generation" Journal of Mechanics in Medicine and Biology, DOI: 10.1142/S0219519415500013, 15(5): 1500001 -1500012 {ISSN: 1793-6810} Impact Factor= 0.8
• "Variational Finite Element Approach to Estimate the Behaviour of Oxygen Diffusion in the Biological Tissue via Plasma and Capillary Layers" International Journal of Modern Mathematical Sciences, 12(1): 1 -9 {ISSN: 2166-286X} Impact Factor=
• "MATHEMATICAL MODEL FOR THE TRANSPORT OF OXYGEN IN THE LIVING TISSUE THROUGH CAPILLARY BED" Journal of Mechanics in Medicine and Biology, (In press), 15(6): 1550055 -1550062 {ISSN: 1793-6810} Impact Factor= 0.8
• "Variational finite element approach to study the thermal stress in multi-layered human head" International Journal of Biomathematics, 7(6): 1450073 -1450082 {ISSN: 1793-7159} Impact Factor= 0.64
• "Variational finite element method to study the absorption rate of drug at various compartments through transdermal drug delivery system" Alexandria Journal of Medicine, Elsevier, 51(1): 234 -245 {ISSN: ISSN: 2090} Impact Factor=
• "Maclaurin's Series Approach for the Analytical Solution of Oxygen Transport to the Biological Tissues Through Capillary Bed" Journal of Medical Imaging and Health Informatics (In press), 5(3): 123 -132 {ISSN: 2156-7018} Impact Factor= 0.64
• "Explicit formula of finite difference method to estimate human peripheral tissue temperatures during exposure to severe cold stress" Journal of Thermal Biology (In press), 0(0): 0 -0 {ISSN: 0306-4565} Impact Factor= 1.544
• "Finite Element Approach to Study the Behaviour of Fluid Distribution in the Dermal Regions of Human Body due to Thermal Stress" Journal of Egyptian Mathematical Society (In press), 0(0): 0 -0 {ISSN: 110-256X} Impact Factor=
• "Finite element approach to study the behavior of fluid distribution in the dermal regions of human body due to thermal stress" Journal of the Egyptian Mathematical Society, Elsevier, 23(3): 568 -574 Impact Factor=
• "Numerical estimation of drug diffusion at dermal regions of human body in transdermal drug delivery system" Journal of Mechanics in Medicine and Biology, World Scientific, 16(2): 0 -0 Impact Factor= 0.81
• "Maclaurin's Series Approach for the Analytical Solution of Oxygen Transport to the Biological Tissues Through Capillary Bed" Journal of Medical Imaging and Health Informatics, 5(5): 959 -963 Impact Factor= 0.62
• "Tissue necrosis and passage of fluid ?due to cold stress from the thermally damaged human body peripherals: A mathematical model" International Journal of Computational Materials Science and Engineering, World Scientific Publishing Company, Imperial College Press London, 4(2): 1550012 -1550023 Impact Factor=
• "Temperature distribution in biological tissues under the influence of external heat source" Bull. of Cal. Math. Soc, 107(2): 145 -152 Impact Factor=
• "Crank-Nicholson Scheme for the Estimation of Thermal Disturbance on the Peripheral Tissues of Human Body Subjected to Oscillatory Boundary Condition?and Time Dependent Heat Source" Journal of Multiscale Modeling, 6(1): 1550001 -1550010 Impact Factor=
• "Explicit formula of finite difference method to estimate human peripheral tissue temperatures during exposure to severe cold stress" Journal of Thermal Biology, Elsevier, 48(2): 51 -55 Impact Factor= 1.54
• "Temperature distribution and thermal damage of peripheral tissue in human limbs during the heat stress: A Mathematical Model" Journal of Mechanics in Medicine and Biology, World Scientific Publishing Company, 16(2): 00 -00 Impact Factor= 0.81
• "A mathematical model for the estimation of thermal stress and development of cold injuries on the exposed organs of human body" Journal of Mechanics in Medicine and Biology, World Scientific Publishing Company, 16(4): 00 -0 Impact Factor= 0.81
• "Thermal behavior of biological tissues in cold conditions: A mathematical model" International Journal of Biomathematics, 9(2): 00 -00 Impact Factor= 0.64
• "Temperature distribution and thermal damage of peripheral tissue in human limbs during the heat stress: A Mathematical Model" Journal of Mechanics in Medicine and Biology, World Scientific Publishing Company, Singapore, 16(2): DOI No. 16500064 {ISSN: 1793-6810} Impact Factor= 0.81
• "A mathematical model for the estimation of thermal stress and development of cold injuries on the exposed organs of human body," Journal of Mechanics in Medicine and Biology, World Scientific Publishing Company, Singapore, 16(3): DOI No. 1650062 {ISSN: 1793-6810} Impact Factor= 0.81
• "Thermal Stability of Biological Tissues and their Behaviour in Cold Conditions:A Mathematical Model" International Journal of Biomathematics, World Scientific, 9(2): DOI No. 1650066 {ISSN: 1793-7159} Impact Factor= 0.64
• "?Studying the effects of the heat stress on the ?various layers of human skin using damage function" Int. J. of Comp and Mat. Sci. Engineering, 5(1): DOI No. 1650003 {ISSN: 2047-685X} Impact Factor= 0
• "Mathematical models for drug diffusion through the compartments of blood and tissue medium" Alexandria Journal of Medicine, Elsevier, 0(0): DOI No. 0 {ISSN: 2090-5068} Impact Factor= 0.97
• "Thermal behavior of human eye in relation with change in blood perfusion, porosity, evaporation and ambient temperature" Journal of Thermal Biology, Elsevier, 0(0): DOI No. 0 {ISSN: 0306-4565} Impact Factor= 1.62
• "Numerical study of heat exchange in human body through clothes and thermal stability of biological tissues" Applied Mathematics and Information Sciences, An International Journal, Natural Sciences Publishers USA, 16(6): 2217 -2225 {ISSN: 2325-0399} Impact Factor= 1.232
• "Modeling human peripheral tissue temperature based on numerical computation of non-linear boundary value problem" Journal of Nonlinear Analysis and Optimization, 7(1): 129 -135 {ISSN: 1906-9605} Impact Factor= 0
• "A review paper on Modeling heat and oxygen transport in human body" GAMS Journal of Mathematics and Biosciences, Special Issue on November, 2016, 0(0): 71 -79 {ISSN: 0000} Impact Factor=
• "Mathematical and numerical analysis of thermal distribution in cancerous tissues under the local heat therapy" International Journal of Biomathematics, 10(7): 1750099 -1750108 {ISSN: 1793-7159} Impact Factor= 1.05
• "2D model on heat regulation in human body with dermal tumor" Electronic Journal of Differential Equations, 24(2): 75 -83 {ISSN: 1072-6691} Impact Factor= 0.73
• "Pseudo analytic approach to estimate drug transport and release in the annular section of human limbs" Italian Journal of Pure and Applied Mathematics, 43(1): 878 -889 {ISSN: online} Impact Factor=
• "Pseudo analytic approach to estimate drug transport and release in the annular section of human limbs" Italian Journal of Pure and Applied Mathematics, 43(1): 878 -889 {ISSN: 1126-8042} Impact Factor= 0.52
• "Mathematical analysis based on eigenvalue approach to study liver metastasis disease with applied drug therapy" Network Modeling Analysis in Health Informatics and Bioinformatics, 9(25): DOI No. 25 {ISSN: 2192-6662} Impact Factor= 1.06
• "Variational finite element approach to study heat Variational finite element approach to study heat transfer in the biological tissue of premature infant" Journal of Thermal Biology, Elsevier, 92(5): DOI No. 00 {ISSN: 0306-4565} Impact Factor= 2.361
• "Mathematical analysis on the dynamics of COVID-19 in India using SIR Epidemic Model" Mapana Journal of Sciences, 19(3): DOI No. 1 {ISSN: 0975-3303} Impact Factor= 0
• "Compartment modelling and eigenvalue expansion to study the drug concentration in capillary and tissue regions surrounding the malignant tumour" Network Modeling Analysis in Health Informatics and Bioinformatics, 10(1): DOI No. 00 {ISSN: 2192-6662} Impact Factor= 1.06
• "Explicit finite difference method to estimate oxygen concentration in biological tissues under variable oxygen tension in capillaries" Comp and Math Methods. Wiley Publishers, 2020(2): DOI No. 24 {ISSN: 2577-7408} Impact Factor= 0
• "Mathematical modeling of drug-diffusion from multi-layered capsules/tablets and other drug-delivery devices" Journal of "Computer Methods in Biomechanics and Biomedical Engineering, 0(0): DOI No. 0 {ISSN: 1476-8259} Impact Factor= 1.763
• "A four-compartment model to estimate oxygen and carbon dioxide exchange concentrations via blood using eigenvalue approach" South East Asian Journal of Mathematics and Mathematical Sciences, 17(2): 367 -384 {ISSN: 2582-0850} Impact Factor= 0.4
• "An analytical approach to study the drug diffusion through transdermal drug delivery system" Applied Mathematics E-Notes, 21(8): 198 -208 {ISSN: 1607-2510} Impact Factor= 0.6
• "Compartment modelling and eigenvalue expansion to study the drug concentration in capillary and tissue regions surrounding the malignant tumour," Network Modeling Analysis in Health Informatics and Bioinformatics, Springer, 10(2): DOI No. 10.1007/s13721-020-00275-2 {ISSN: 2192-6670} Impact Factor= 0.8
• "Transformation of Glucokinase under Variable Rate Constants and Thermal Conditions: A Mathematical Model" Applications and Applied Mathematics: An International Journal (AAM), 16(2): 953 -964 {ISSN: 1932-9466} Impact Factor= 0
• "Heat distribution and the condition of hypothermia in the multi-layered human head: A mathematical model" Computer Methods in Biomechanics and Biomedical Engineering, 0(0): DOI No. https://doi.org/10.1080/102558 {ISSN: 1476-8259} Impact Factor= 1.76
• "Mathematical analysis of oxygen and carbon dioxide exchange in the human capillary and tissue system" Computer Methods in Biomechanics and Biomedical Engineering, 0(0): DOI No. https://doi.org/10.1080/102558 {ISSN: 1476-82} Impact Factor= 1.76
• "Mathematical modeling of concentration/ time- activity profiles of radiotracers in positron emission tomography" Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization, 0(0): DOI No. https://doi.org/10.1080/216811 {ISSN: 2168-1171} Impact Factor=
• "Heat distribution and the condition of hypothermia in the multi-layered human head: A mathematical model" Computer Methods in Biomechanics and Biomedical Engineering, 2022(3): 0001 -0008 {ISSN: 1476-8259} Impact Factor= 1.76
• "Mathematical analysis of oxygen and carbon dioxide exchange in the human capillary and tissue system" Computer Methods in Biomechanics and Biomedical Engineering, 2022(6): DOI No. https://doi.org/10.1080/102558 {ISSN: 1476-8259} Impact Factor= 1.76
• "Mathematical modelling of drug-diffusion from multi-layered capsules/tablets and other drug delivery devices" Computer Methods in Biomechanics and Biomedical Engineering, 25(8): DOI No. https://doi.org/10.1080/102558 {ISSN: 1476-8259} Impact Factor= 1.76
• "Mathematical modeling of concentration/time-activity profiles of radio tracers in positron emission tomography" Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization, 2022(6): DOI No. https://doi.org/10.1080/216811 {ISSN: 1476-8259} Impact Factor= 1.76
• "An Algebraic Mathematical Model For Non-Competitive Enzyme Inhibitors With Slow And Fast Subsystems*" Applied Mathematics E-Notes, 2022(22): 362 -370 {ISSN: 1607-2510} Impact Factor=
• "A Mathematical Model On The Dynamics Of Radioactive Tracer Flow In PET Scan" Applied Mathematics E-Notes, 2022(22): 383 -392 {ISSN: 1607-2510} Impact Factor=
• "Transformation of Glucokinase under Variable Rate Constants and Thermal Conditions: A Mathematical Model" Applications and Applied Mathematics: An International Journal (AAM), 16(2): 953 -964 {ISSN: 1932-9466} Impact Factor=
• "MATHEMATICAL STUDY OF PULMONARY ANDINTRAVENOUS ADMINISTRATION OF OXYGEN INBIOLOGICAL TISSUES UNDER HYPOXIA CONDITION" South East Asian J. of Mathematics and Mathematical Sciences, 18(3): 381 -392 {ISSN: 2582-0850} Impact Factor=
• "Numerical Assessment of the Brain Tumor Growth Model via Fibonacci and Haar Wavelets" Fractals, World Scientific Publishing Company, 31(2): DOI No. 2340017 Impact Factor= 4.55
• "Fibonacci Wavelet Method for the Numerical Solution of Nonlinear Reaction-Diffusion Equations of Fisher-Type" Journal of Mathematics, Hindawi, 2023(0): DOI No. 1705607 Impact Factor=
• "A mathematical analysis of cooperativity and fractional saturation of oxygen in hemoglobin" Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 72(1): 118 -128 Impact Factor=
• "A mathematical study of nanoparticle aided hyperthermia treatment of hepatic cancer using magnetite nanoparticles under alternating and rotating magnetic fields" International Journal of Nonlinear Analysis and Applications, 14(1): DOI No. 2301 Impact Factor=
• "Impact of radiation therapy on healthy and cancerous cell dynamics: a Mathematical analysis" Computer Methods in Biomechanics and Biomedical Engineering, 2024(1): DOI No. 1 Impact Factor= 2.3
• "Traveling wave solution and the stability of critical points of an enzyme-inhibitor system under diffusion effects: with special reference to dimer molecule" Computer Methods in Biomechanics and Biomedical Engineering, 2024(1): DOI No. 8 Impact Factor= 2.3
• "Traveling wave solution and the stability of critical points of an enzyme-inhibitor system under diffusion effects: with special reference to dimer molecule" Computer Methods in Biomechanics and Biomedical Engineering, Taylor and Francis, 0(0): DOI No. 1 {ISSN: 1025-5842} Impact Factor= 1.7
• "Numerical investigation of fractional order SEIR models with newborn immunization using Vieta–Fibonacci wavelets" Partial Differential Equations in Applied Mathematics, Elsevier, 12(0): DOI No. 100995 {ISSN: 2666-8181} Impact Factor= 6.7
• "Impact of radiation therapy on healthy and cancerous cell dynamics: a Mathematical analysis" Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Franscis, 0(0): DOI No. 1 {ISSN: 1025-5842} Impact Factor= 1.7
• "A NOTE ON A GENERALISATION OF A DEFINITE INTEGRAL INVOLVING THE BESSEL FUNCTION OF THE FIRST KIND" Journal of Classical Analysis, 24(2): DOI No. 179 {ISSN: 1848-5979} Impact Factor= 0
• "MATHEMATICAL ANALYSIS AND EMPIRICAL VALIDATION OF THERMAL DENATURATION OF GLUCOKINASE" Journal of Mechanics in Medicine and Biology, World Scientific Publishers, 0(0): DOI No. 2450049 {ISSN: 0219-5194} Impact Factor= 0.8

Books Published

• "Introduction to Modeling and Biomathematics". Ariana Publishers, New Delhi. {ISBN: 978-93-85497-26-1} pp 256