OVERVIEW
ROLES AT IMM
2023
IMM Local Faculty
Advanced Qualitative ODE
Course
Pakistan
Fall
ABOUT ME
I was awarded my Ph.D. from Rensselaer Polytechnic Institute in NY in 2007. My thesis was titled 'Parameterization for Some Multiscale Problems in Biology and Turbulence'. The work involved studying approaches to coarse graining of multiscale systems with applications to turbulent diffusion and protein dynamics. Prior to my doctoral work I obtained an MS in Applied Mathematics at the University of Delaware in 2002 and a BE in Electrical Engineering from NED University of Engineering & Technology, Karachi in 1998.
My current research interests involve modeling and analysis of biological systems, multiscale modeling and asymptotic analysis. Prior to joining LUMS I have taught at Rensselaer Polytechnic Institute and University of Delaware. Besides the usual academic interests I am also interested in reading on economics, philosophy, history and world literature.
CURRICULUM
from 2023 to Present
IMM Local Faculty, International Mathematics Master (IMM) Pakistan
Pakistan
from 2018 to Present
Associate Professor, Lahore University of Management Sciences (LUMS)
Pakistan
from 2004 to 2007
PhD Student, Rensselaer Polytechnic Institute
USA
MORE INFORMATION
My research
Mumtaz, K., Nadeem, M. W., Khan, A., & Lakdawala, Z. (2025). Investigating the use of physics informed neural networks for dam-break scenarios. PLOS ONE.
Mumtaz, K., Khan, A., & Imran, M. (2025). Transmission dynamics of two co-circulating strains of dengue virus and effective vaccination strategy using deep learning. Letters in Biomathematics.
Ali, M., Khan, A., Mirza, S., & Imran, M. (2025). A model for the transmission dynamics of pneumococcal pneumonia and influenza co-infection. International Journal of Biomathematics.
Mumtaz, K., Khan, A., Imran, M., & Mumtaz, M. (2024). Control of HPV infection leading to cervical cancer. Partial Differential Equations in Applied Mathematics.
Ali, A., Imran, M., Sial, S., & Khan, A. (2022). Effective antibiotic dosing in the presence of resistant strains. PLOS ONE.
Kakalia, S., Bashir, S., Waqqas, A., Khan, A., Malik, R., & Saif, S. (2022). Determinants of child health in a rural Karakoram village. Journal of Fatima Jinnah Medical University.
Khan, A., Ali, M., Iqbal, W., & Imran, M. (2021). Effect of high and low risk susceptibles in the transmission dynamics of COVID-19 and control strategies. PLOS ONE.
Imran, M., Usman, M., Dur-e-Ahmad, M., & Khan, A. (2021). Transmission dynamics of Zika fever: A SEIR based model. Differential Equations and Dynamical Systems.
Sial, S., Seadawy, A. R., Raza, N., Khan, A., & Javid, A. (2021). A study on single-iteration Sobolev descent for linear initial value problems. Optical and Quantum Electronics.
Ali, M., Imran, M., & Khan, A. (2020). Analysis and prediction of the COVID-19 outbreak in Pakistan. Journal of Biological Dynamics.
Ali, M., Shah, S. T. H., Imran, M., & Khan, A. (2020). The role of asymptomatic class, quarantine and isolation in the transmission of COVID-19. Journal of Biological Dynamics.
Khan, A., & Imran, M. (2018). Optimal dosing strategies against susceptible and resistant bacteria. Journal of Biological Systems.
Waleed, M., Imran, M., & Khan, A. (2017). Stochastic analysis of an influenza epidemic model. International Journal of Applied and Computational Mathematics.
Imran, M., Khan, A., Ansari, A. R., & Shah, S. T. H. (2017). Modeling transmission dynamics of Ebola virus disease. International Journal of Biomathematics.
Kakalia, S., & Khan, A. (2017). Oxygen saturation of children in Pakistan’s high mountain pastoral communities. Archives of Disease in Childhood.
Ahmad, M. D., Usman, M., Khan, A., & Imran, M. (2016). Optimal control analysis of Ebola disease with control strategies of quarantine and vaccination. Infectious Diseases of Poverty.
Imran, M., Malik, T., Ansari, A. R., & Khan, A. (2016). Mathematical analysis of swine influenza epidemic model with optimal control. Japan Journal of Industrial and Applied Mathematics.
Khan, A., Waleed, M., & Imran, M. (2015). Mathematical analysis of an influenza epidemic model, formulation of different controlling strategies using optimal control and estimation of the basic reproduction number. Mathematical and Computer Modelling of Dynamical Systems.
Khan, A., Naveed, M., Dur-e-Ahmad, M., & Imran, M. (2015). Estimating the basic reproductive ratio for the Ebola outbreak in Liberia and Sierra Leone. Infectious Diseases of Poverty.
Khan, A., Hassan, M., & Imran, M. (2014). Estimating the basic reproduction number for single-strain dengue fever epidemics. Infectious Diseases of Poverty.
Dur-e-Ahmad, M., Imran, M., & Khan, A. (2014). Analysis of a mathematical model of emerging infectious disease leading to amphibian decline. Abstract and Applied Analysis.
Imran, M., Rafique, H., Khan, A., & Malik, T. (2014). A model of bi-mode transmission dynamics of hepatitis C with optimal control. Theory in Biosciences.
Imran, M., Hassan, M., Dur-e-Ahmad, M., & Khan, A. (2013). A comparison of a deterministic and stochastic model for hepatitis C with an isolation stage. Journal of Biological Dynamics.
Kramer, P. R., Latorre, J. C., & Khan, A. A. (2010). Two coarse-graining studies of stochastic models in molecular biology. Communications in Mathematical Sciences.