pratibha - Department of Mathematics,Indian Institute of Technology Roorkee
pratibha
Pratibha Associate professor pratibha@ma.iitr.ac.in
Areas of Interest
  • Mob.No.+919897030710, Bio Mathematics, Computer Appl, Computational Fluid Dynamics, Lung Mechanics
Honors and Awards
AwardInstituteYear
Young Scientist FellowshipDST, Govt. of India2004
AICTE Award for Young TeachersGovt. of India2000
Special University ScholarshipUnivesity of Western Ontario, Canada1991
University Gold MedalUniversity of Roorkee (now IITR)1985
Best Student AwardUniversity of Roorkee (now IITR)1985
Best Girl Student AwardUniversity of Roorkee (now IITR)1985
Highest Marks in MSc Ist YearUniversity of Roorkee (now IITR)1985
National ScholarshipGovt. of India1979
Women Scientist AwardDST, Govt. of India2003
Educational Details
DegreeSubjectUniversityYear
Ph.D.Applied MathematicsUniversity of Western Ontario, CANADA1995
M.Phil.MathematicsIIT Roorkee (Earlier UoR)1987
M.Sc.Applied MathematicsIIT Roorkee (Earlier UoR)1985
Books Authored
  1. Book Chapter : Rama Bhargava, Mania Goyal, Pratibha: An Efficient Hybrid Approach for Simulating MHD Nanofluid Flow over a Permeable Stretching Sheet. Mathematical Analysis and its Applications, 01/2015: pages 701-714; , ISBN: 978-81-322-2484-6, DOI:10.1007/978-81-322-2485-3_56
Refereed Journal Papers

Jyoti Kori and Pratibha, 2019.Numerical Simulation of Dusty Air Flow and Particle Deposition inside Pearmeable Alveolar Duct, International Journal of Applied and Computational Mathematics,5(17), 1-13,  (Scopus, Q3) (IF 1.883)

Kori, J. and Pratibha, 2019. Effect of first order chemical reactions on the dispersion coefficient associated with laminar flow through fibrosis affected lung. Journal of Biomechanics. (SCI, IF 2.57, Q1)

Kori, J. and Pratibha, 2019. Simulation and modeling for aging and particle shape effect on airflow dynamics and filtration efficiency of human lung. Journal of Applied Fluid Mechanics, 12(4):1273-1285. (Q2)

Kori, J. and Pratibha, 2019. Effect of periodic permeability of lung tissue on fluid velocity and nonspherical nanoparticle filtration. International Journal of Applied and Computational Mathematics, 5(49):1-15. (Q3) (IF 1.883)

Kori, J. and Pratibha, 2019. Two dimensional Mathematical Study of Flow Dynamicsthrough Emphysemic Lung.  Applications and Applied Mathematics: An International Journal, 41(1):296-311. (ESCI)

Kori, J. and Pratibha, 2019. Effect of periodic permeability of lung airways on the flow dynamics of viscous fluid. Nanosystems: Physics, Chemistry, Mathematics, 10(3):235-242. (ESCI)

Jyoti, Km. and Pratibha, 2019. Effect of  dynamic shape factor in alveolar region as a filtration media. World Journal of Modeling and Simulation, 15(2):95-105. (Q2) (IF 0.44)

Endalew Getnet Tsega, Vinod Kumar Katiyar, Pratibha, 2019.  Numerical Simulation of Transport and Deposition of Dust Particles in Human Tracheobronchial Airway, International Journal of Biomedical Science and Engineering, 7(1): 8-15,

Endalew Getnet Tsega, V.K. Katiyar, Pratibha, 2019. Breathing Patterns of Healthy Human Response to Different Levels of Physical Activity,  International Journal of Biomedical Engineering and Technology, 7(1),, 1-4, (Q4)

J. Kori, Pratibha, 2018. Numerical Simulation of Mucus Clearance Inside Lung Airways,Journal of Applied Fluid Mechanics, 11(5),. 1163-1171. (Q3)(Impact factor 1.09)

R. Bhargava, Pratibha, Harish Chandra, 2017. Hybrid Numerical Solution of Mixed Convection Boundary Layer Flow of Nanofluid Along an Inclined Plate with Prescribed Surface Fluxes. International Journal of Applied and Computational Mathematics, 3, 2909-2928. (Q3).

Bhargava, R., Goyal, M., Pratibha. 2015. An Efficient Hybrid Approach for Simulating MHD Nanofluid Flow over a Permeable Stretching Sheet, in Mathematical Analysis and its applications, Springer, Book chapter, 701-713. 10.1007/978-81-322-2485-3_56.

Anju Saini, V. K. Katiyar, and Pratibha, 2015.  Numerical simulation of gas flow through a biofilter in lung tissues, World Journal of Modelling and Simulation, Vol. 11, No. 1, pp. 33-42. (Q2)

Anju Saini, V. K. Katiyar, and Pratibha, 2014. Effects of first-order chemical reactions on the dispersion coefficient associated with laminar flow through the lungs,   Int. J. Biomath. 07, 1450021-33, DOI: 10.1142/S1793524514500211. (Q3)

Saini, A., Katiyar, V.K., Pratibha, 2012. Modelling of inert gas transport to tissue and blood return to lungs, Indian Journal of Biomechanics, 3(1-2), 6-12.

Gupta, Y.K., Kumar, J., Pratibha, 2012.  A class of well behavedcharged analogues of Schwarzchild’s interior solution, Int. J. Theor. Phys., 51, 3290-3302.

Devdutta, Katiyar, V.K., Pratibha, Sarita, 2012.  Numerical simulation of  flow structure and deposition of particles in asthmatic airway bifurcation, Int. Jour. Enh. Res. in Sci. Tech. Engg., 1(3), 1 – 5.

Devdutta, Katiyar, V.K., Pratibha, Saini, A., 2012. Modelling of blood partial pressure of human respiratory system, 3(1-2), 47-49.

Pratibha, 2011. Use of Symbolic Computation Systems in Mathematics Education, International Journal of Education and Information Sciences, 1(1), 163 – 170.

Gupta, Y.K, Pratibha and Kumar, J., 2011.  A new class of charged analogues of Vaidya-Tikekar type super-dense star, Astrophysics and Space Science, 333(1), 143 – 148.  (Q3)                                                 (Impact factor 1.404)

Maurya, S. K., Gupta Y, K. and Pratibha, 2011. A class of Charged relativistic super-dense star models, International Journal of Theoretical Physics,51(3), 943-953. (Q3)                                                                     (Impact factor 0.67)

Rawat, K., Katiyar, V.K.  and Pratibha, 2011.  Two-Lane Traffic Flow Simulation Model via Cellular Automaton, International Journal of Vehicular Technology, Volume 2012, doi:10.1155/2012/130398. (Q3)

Rawat, K., Katiyar, V.K. and Pratibha, 2011. Effect of Speed Fluctuations due to Driving Imperfections over Road Traffic Noise Emission, Noise Control Engineering Journal, 59(5), 505 – 513. (Q3)                    (Impact factor 0.304)

Gupta, Y. K., Kumar, S. and Pratibha, 2011. Charged Analogues of Henning Knutsen's Interior Solutions in General Relativity, International Journal of Theoretical Physics, DOI 10.1007/s10773-011-0837-4.     (Q3)                                  (Impact factor 0.688)

Rawat, K., Katiyar, V.K.  and Pratibha, 2011. A Modified Cellular Automaton Model in Lagrange Form with Velocity Dependent Acceleration Rate, International Journal of Optimization and Control: Theories & Applications, 1(1), pp.75-86. 

Gupta, Y. K., Kumar, S. and Pratibha, 2011.  A New Class of Relativistic Perfect Fluid Cylinders with expansion proportional to Shear Scalar, Astrophysics and Space Science, 332(1), 449 – 456.   (Q3)        (Impact factor 1.404)

Maurya, S. K., Gupta Y, K. and Pratibha, 2011. Regular and Well Behaved Relativistic Charged Superdense Star Models, International Journal of Modern Physics- D, 20(7), 1289 – 1300.        (Q1)                  (Impact factor 0.982)

Devdatta, Katiyar, V.K., Pratibha, Saini A. 2011.  Mathematical study of blood partial pressure of human respiratory system, International Transactions in Mathematical Sciences and computers, 4(2), 343-346.

Saini, A., Katiyar. V. K., Pratibha and Devdatta, 2010.  Numerical Simulation of the Transport of Inert Gases in Lung Tissue, International Journal of Applied Mathematics and Mechanics, 6(15), 46-57.                                                   

Pratibha, 2010. Highly accurate series solutions of an ODE with singularity occurring in fluid flow problems using symbolic computation, International Journal of Stability and Fluid Mechanics.

Kumar, S., Gupta, Y. K. and Pratibha, 2010. Some Fluid Spheres of Embedding Class One with Non-Vanishing Weyl -Tensor in 5-Flat Form, International Journal of Stability and Fluid Mechanics, 1(2), 163 – 176.

Kumar, S., Pratibha and Gupta, Y. K., 2010.Invariant Solutions of Einstein Field Equation for Non-conformally Flat Fluid spheres of Embedding Class one, International Journal of Modern Physics – A, 25(20), 3993 – 4000.               (Q2)                (Impact factor 0.982)

Pratibha and Jeffrey, D.J., 2010.  Low Reynolds number mobility functions for two unequal spheres, International Journal of Applied Mathematics and Mechanics, 6(12), pp 94 – 103.

Gupta, Y. K., Pratibha and Kumar, S., 2010.  Some Nonconformal accelerating perfect fluid plates of Embedding class one using Similarity Transformations, International Journal of Modern Physics – A, 25(9), p1863 – 1879. (Q2)                                    (Impact factor 0.982)

Gupta, Y. K.,Pratibha and Jasim, M. K., 2010,. Similarity Solutions for Relativistic Accelerating Fluid Plates of Imbedding Class One Using Symbolic Computation, Advanced Studies in Theoretical Physics, 4 (10), p 449 – 466. (Q4)

Rawat, K., Katiyar, V. K. and Pratibha,2010.  Modeling of single Lane Traffic Flow using Cellular Automata, International Journal of Applied Mathematics and Mechanics, 6(5), p 46 – 57.

Gupta, Y. K., Gupta, S., and Pratibha,2010.  Charged Analogues of Whittaker’s Interior Solutions, International Journal of Theoretical Physics, (4), p854 – 860. (Q3)  (Impact factor 0.675)

Rawat K., Katiyar, V.K. and Pratibha2009. Mathematical Modeling of Environmental Noise Impact, Indian Journal of Biomechanics, Special issue (NCBM-2009), p75-81.

DevDutta, Katiyar, V.K. and Pratibha2009. Mathematical Modeling of Respiratory System: A Review, Indian Journal of Biomechanics, Special issue (NCBM-2009), p56 – 60.

Saini A., Katiyar, V.K. and Pratibha2009. Mathematical Modeling of Lung Mechanics:A Review, Indian Journal of Biomechanics, Special issue (NCBM-2009), p13 – 16.

Pratibha, 2003. Fast and efficient algorithms for solving ordinary differential equations through computer algebra systems, The Current Science, 85(8), p 1206 – 1209.  (Q2) (Impact Factor 0.774)

Pratibha and Kamal, 1999.  Using Maple V to derive correct analytical formulae for gravity anomaly derivatives over anticlines and synclines with hyperbolic density contrast, The Journal of Applied Geophysics,42, p 47-53. (Q2)(Impact Factor 1.333)

Pratibha, Kamal, Singh, B. and Dwivedi, A., 1999.  On the use of Symbolic computations in Geosciences, The Current Science, 76 (8), p1145-1149. (Q2)    (Impact Factor 0.774)

Kamal, Pratibha and Chakravarty, A., 1998.  Using Fast Hartley Transform to study the free oscillations of the earth, The Journal of Seismology, 2, p179- 181.  (Q2) (Impact Factor 1.091)

Corless, R.M., Jeffrey, D.J., Monagan, M. and Pratibha, 1997.  Two perturbation calculations in fluid mechanics using large expression management, Journal of Symbolic Computations,23, 427-443. (Q2) (Impact Factor 0.89)       

Communicated Papers:

Pratibha, C. Shaju, A, Gupta, Kamal (2020). k-mer proximity index for phylogeny comparison of SARS-CoV-2 with other pathogens, Scientific Reports, Nature Publishing Group.

Gupta A., Shaju, C., Pratibha, Kamal (2020). A study of the international stock market crash and recovery during COVID-19 pandemic using a modified chaos game representation,  Business and Economics, Springer Nature.

Rahul, R. and Pratibha (2020). Analysis of  Drug Transport Through Drug Elutes Stents, International Journal of  Mathematical Bio Sciences.

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Credits : Information Management Group, IIT Roorkee
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