Publications

Journal articles

2025

Angstmann, C.N., Han, D.S., Henry, B.I., Huang, B.Z. and Xu, Z., 2025. Compounded random walk for space-fractional diffusion on finite domains. Physical Review E, 111(2), p.024136.

Ciofani, J.L., Han, D., Rao, K., Gill, D., Woolf, B., Rahimi, K., Allahwala, U.K. and Bhindi, R., 2025. Lipid-lowering therapies for aortic stenosis: a drug-target Mendelian randomization study. European Heart Journal-Cardiovascular Pharmacotherapy, 11(2), pp.136-142.

2024

Angstmann, C.N., Burney, S.J., Han, D.S., Henry, B.I. and Xu, Z., 2024. Exact solutions of time-delay integer-and fractional-order advection equations. Results in Applied Mathematics, 24, p.100514.

Ciofani, J.L., Han, D., Allahwala, U.K. and Bhindi, R., 2024. Aortic stenosis and renal function: a bidirectional mendelian randomization analysis. Journal of the American Heart Association, 13(9), p.e034102.

Schlegel, P., Yin, Y., Bates, A.S., Dorkenwald, S., Eichler, K., Brooks, P., Han, D.S., Gkantia, M., Dos Santos, M., Munnelly, E.J. and Badalamente, G., 2024. Whole-brain annotation and multi-connectome cell typing of Drosophila. Nature, 634(8032), pp.139-152.

Liu, Y., Seguin, C., Betzel, R.F., Han, D., Akarca, D., Di Biase, M.A. and Zalesky, A., 2024. A generative model of the connectome with dynamic axon growth. Network Neuroscience, 8(4), pp.1192-1211.

Xu, Z., Angstmann, C.N., Han, D., Henry, B.I., Burney, S.J.M. and Jacobs, B.A., 2024. An Exact Stochastic Simulation Method for Fractional Order Compartment Models. SIAM Journal on Applied Mathematics, 84(5), pp.2132-2151.

2023

Ciofani, J.L., Han, D., Nazarzadeh, M., Allahwala, U.K., De Maria, G.L., Banning, A.P., Bhindi, R. and Rahimi, K., 2023. The effect of immunomodulatory drugs on aortic stenosis: a Mendelian randomisation analysis. Scientific Reports, 13(1), p.18810.

Ciofani, J.L., Han, D., Allahwala, U.K., Woolf, B., Gill, D. and Bhindi, R., 2023. Lipids, blood pressure, and diabetes mellitus on risk of cardiovascular diseases in East Asians: A Mendelian randomization study. The American Journal of Cardiology, 205, pp.329-337.

Fedotov, S. and Han, D., 2023. Population heterogeneity in the fractional master equation, ensemble self-reinforcement, and strong memory effects. Physical Review E, 107(3), p.034115.

2022

Fedotov, S., Han, D., Ivanov, A.O. and da Silva, M.A., 2022. Superdiffusion in self-reinforcing run-and-tumble model with rests. Physical Review E, 105(1), p.014126.

Korabel, N., Clemente, G.D., Han, D., Feldman, F., Millard, T.H. and Waigh, T.A., 2022. Hemocytes in Drosophila melanogaster embryos move via heterogeneous anomalous diffusion. Communications Physics, 5(1), p.269.

2021

Biga, V., Hawley, J., Soto, X., Johns, E., Han, D., Bennett, H., Adamson, A.D., Kursawe, J., Glendinning, P., Manning, C.S. and Papalopulu, N., 2021. A dynamic, spatially periodic, micro‐pattern of HES5 underlies neurogenesis in the mouse spinal cord. Molecular Systems Biology, 17(5), p.e9902.

Ciofani, J.L., Han, D., Allahwala, U.K., Asrress, K.N. and Bhindi, R., 2021. Internet search volume for chest pain during the COVID-19 pandemic. American Heart Journal, 231, pp.157-159.

Fedotov, S., Han, D., Zubarev, A.Y., Johnston, M. and Allan, V.J., 2021. Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution. Philosophical Transactions of the Royal Society A, 379(2205), p.20200317.

Han, D., Alexandrov, D.V., Gavrilova, A. and Fedotov, S., 2021. Anomalous stochastic transport of particles with self-reinforcement and mittag–leffler distributed rest times. Fractal and Fractional, 5(4), p.221.

Han, D., da Silva, M.A., Korabel, N. and Fedotov, S., 2021. Self-reinforcing directionality generates truncated Lévy walks without the power-law assumption. Physical Review E, 103(2), p.022132.

Han, D.S., 2021. Stochastic models for non-Markovian intracellular transport and their experimental validation. The University of Manchester (United Kingdom).

Korabel, N., Han, D., Taloni, A., Pagnini, G., Fedotov, S., Allan, V. and Waigh, T.A., 2021. Local analysis of heterogeneous intracellular transport: Slow and fast moving endosomes. Entropy, 23(8), p.958.

2018 - 2020

Han, D., Korabel, N., Chen, R., Johnston, M., Gavrilova, A., Allan, V.J., Fedotov, S. and Waigh, T.A., 2020. Deciphering anomalous heterogeneous intracellular transport with neural networks. eLife, 9, p.e52224.

Fedotov, S. and Han, D., 2019. Asymptotic behavior of the solution of the space dependent variable order fractional diffusion equation: Ultraslow anomalous aggregation. Physical Review Letters, 123(5), p.050602.

Fedotov, S., Korabel, N., Waigh, T.A., Han, D. and Allan, V.J., 2018. Memory effects and Lévy walk dynamics in intracellular transport of cargoes. Physical Review E, 98(4), p.042136. 

Working manuscripts and preprints

Angstmann, C.N., Han, D.S., Henry, B.I., Huang, B.Z. and Xu, Z., 2025. The Global Diffusion Limit for the Space Dependent Variable-Order Time-Fractional Diffusion Equation. arXiv preprint arXiv:2504.18787.

Angstmann, C.N., Burney, S.J.M., Han, D.S., Henry, B.I., Huang, B.Z. and Xu, Z., 2024. Finite Time Blowup of Integer-and Fractional-Order Time-Delayed Diffusion Equations. arXiv preprint arXiv:2406.08777.

Rao, K., Ciofani, J.L., Han, D., Nazarzadeh, M., Rahimi, K., Baer, A., Saad, N., Litkouhi, P.N., Allahwala, U., Hansen, P. and Bhindi, R., 2024. The influence of calcific aortic stenosis on atrioventricular conduction: a prospective observational study and Mendelian randomization. medRxiv, pp.2024-05.

Han, D., Orlando, G. and Fedotov, S., 2021. Identification of the nature of dynamical systems with recurrence plots and convolution neural networks: A preliminary test. arXiv preprint arXiv:2111.00866.