About Me
Hi! I am a professor of practice at Tulane University. I graduated with my PhD in applied math from Arizona State University.
Research Interest
My research is in mathematical biology. During my postdoctoral work at the FDA, I employed mathematical modeling to gain insights into cancer biology and its treatment.
For my PhD, I studied cancer using mathematical models with a focus on temporal and spatial dynamics that arises from time delay and stochasticity. As part of the group of Prof Yang Kuang and Prof Eric Kostelich, I have worked on extracting digital markers from MRI data to infer patient-specific parameters for a partial differential equation model.
Under the advise of Prof John Fricks, I have developed a computationally efficient method to get asymptotic velocity and diffusivity of a group of motors.
Publications
- Han, L., & Fricks, J. (2024). A Semi-Markov Approach to Study a Group of Kinesin Motors. Bulletin of mathematical biology, 86(2), 15.
- Han, L., Yogurtcu, O. N., Rodriguez Messan, M., Valega-Mackenzie, W., Nukala, U., & Yang, H. (2024). Dosage optimization for reducing tumor burden using a phenotype-structured population model with a drug-resistance continuum. Mathematical Medicine and Biology: A Journal of the IMA, 41(1), 35-52.
- He, C., Han, L., Harris, D. C., Bayakhmetov, S., Wang, X., & Kuang, Y. (2023). Reaction–Diffusion Modeling of E. coli Colony Growth Based on Nutrient Distribution and Agar Dehydration. Bulletin of mathematical biology, 85(7), 61.
- Han, L., Messan, M. R., Yogurtcu, O. N., Nukala, U., & Yang, H. (2023). Analysis of tumor-immune functional responses in a mathematical model of neoantigen cancer vaccines. Mathematical Biosciences, 356, 108966.
- Han, L., He, C., Dinh, H., Fricks, J., & Kuang, Y. (2022). Learning Biological Dynamics From Spatio-Temporal Data by Gaussian Processes. Bulletin of mathematical biology, 84(7), 1-20.
- Goeschl, J. D., & Han, L. (2020). A Proposed Drought Response Equation Added to the Münch-Horwitz Theory of Phloem Transport. Frontiers in Plant Science, 11.
- Han, L., He, C., & Kuang, Y. (2020). Dynamics of a model of tumor-immune interaction with time delay and noise. Discrete & Continuous Dynamical Systems-S, 13(9), 2347.
- Han, L., Eikenberry, S., He, C., Johnson, L., Preul, M. C., Kostelich, E. J., & Kuang, Y. (2019). Patient-specific parameter estimates of glioblastoma multiforme growth dynamics from a model with explicit birth and death rates. Mathematical Biosciences and Engineering.
- Ohashi, K. G., Han, L. , Mentley, B., Wang, J., Fricks, J., & Hancock, W. O. (2019). Load-dependent detachment kinetics play a key role in bidirectional cargo transport by kinesin and dynein. Traffic (Copenhagen, Denmark).