Dr. Saloni Rathee

Assistant Professor

Interest Area(s)

  • Applied Mathematics
  • Differential Equations
  • Numerical Methods
  • Modeling and Simulation

Dr. Saloni Rathee completed both her graduation and post-graduation from Delhi University, securing 2nd position in B.Sc (H) Mathematics. She was awarded Ph.D. degree in Mathematics from Delhi Technological University in December 2017, with a thesis titled “Mathematical Modeling of Diabetes. Her research interests focus on the mathematical modelling and simulation of dynamical systems, particularly those related to diseases. She published 7 research papers in reputed International journals and 2 conference papers. She has expertise in MS Office, MS Excel, LaTeX, Matlab, and Mathematica.  She has been the recipient of notable fellowships, including the Senior Research Fellowship (SRF) from Delhi Technological University (December 2013 – October 2016) and the Junior Research Fellowship (JRF) from December 2011 to November 2013. She has over five years of experience in academia. She joined K.R. Mangalam University as an Assistant Professor on 25th September 2024.

  1. Ph.D. Degree Awarded – Dec 2017 (Delhi Technological University, Delhi).Thesis Title: Mathematical Modeling of Diabetes.
  2. Master of Philosophy (Mathematics) Maharshi Dayanand University, Rohtak, Haryana, India (2008-2009).
  3. Master of Science (Mathematics) University of Delhi, India (2006-2008).
  4. Bachelor of Science(76.43%) (Hons. In Mathematics) University of Delhi, India (2003-2006).
  • 5 Years 10 months
  1. A paper entitled “Application of I-HDMR in glucose – insulin dynamics” has been published in the proceedings of “International Conference on Mathematical Sciences (ICMS-2014)”during 17-19 July, 2014, ISBN – 978-93-5107-261-4, Chennai (Elsevier).
  2. A paper entitled “Maintenance of glucose level in diabetes using vitamin d : a mathematical model’’ has been presented as a poster presentation in “International Congress of Mathematicians’’ held in Coex, Seoul, South Korea during 13–21 Aug, 2014.
  3. A paper entitled “Dynamical system for glucose – insulin space for heart in diabetics”, has been presented in “2nd Cardiovascular Outcome Trial Summit” held in Munich, Germany during 20-21 October, 2016.
  4. A paper entitled “ Modeling the Dynamics of Insulin Analogues in Type 1 Diabetes using Two Explicit Time Delays” has been published in “International Journal of Computer & Mathematical Sciences” held in Bengaluru, India during 26 November 2017.
  1. A paper entitled “Quantitative Analysis Of Time Delays Of Glucose – Insulin Dynamics Using Artificial Pancreas”, has been published in Discrete and continuous dynamical systems series B, 20, 9, doi:10.3934/dcdsb.2015.20.3115 (2015) (AIMS). Impact Factor : 1.27(SCI)
  2. A paper entitled “A review of ODE models for the management of Diabetes” has been published in International journal of Diabetes in developing countries, DOI10.1007/s13410016-0475-8 (2016) (Springer). Impact Factor : 0.585 (SCI Expanded).
  3. A paper entitled “Dynamical System for Glucose – Insulin Space in Different Organs of Diabetes”, has been published in Communication in Mathematical Biology andNeuroscience,9 ISSN: 2052-2541 (2016) Impact Factor : 0.70 (Emerging SCI).
  4. A paper entitled “Study of the effects of FFA and obesity on diabetes through numerical simulation of the mathematical model” has been published in Journal of Mathematics and System Science, Print ISSN : 2159-5391, Online ISSN : 2159-5305, (2015) (DavidPublishing).
  5. A paper entitled, “Study of two Time Delays in IVGTT Glucose – Insulin Dynamical System”, has been published in International Journal of Applied and Computational Mathematics, 3, S1337–S1346, DOI 10.1007/s40819-017-0421-6 (2017) (Springer).
  6. A paper entitled, “Quantitative and stability analysis of three time delays in glucose and insulin oscillations profile using artificial pancreas”, has been published in “Journal of Applied Nonlinear dynamics” 8(3) 493-507, (2019) (L& H Scientific Publishing).
  7. A paper entitled “The effects of Vitamin D on glucose – insulin dynamics : Mathematical Model and Simulation” has been published in “Journal of Diabetes, Metabolic Disorders & Control” 8(2) 105‒114, 2021(MedCrave).
  1. Received Senior Research Fellowship from Delhi Technological University, India sinceDec2013 to Oct 2016.
  2. Received Junior Research Fellowship from Delhi Technological University, India duringDec2011 to Nov 2013.
  3. Qualified GATE (AIR-176) in Mathematical Sciences organized by Ministry of Human Resource development (MHRD), Feb 2012.
  4. Secured 2 nd position in B.Sc (H) Maths. in Annual Examination, University of Delhi, 2006.