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Liang, X., Lei, J.*, 2023. Oscillatory dynamics of heterogeneous stem cell regeneration. Communications on Applied Mathematics and Computation. https://doi.org/10.1007/s42967-023-00263-z.
Wu, F., Liang, X., Lei, J.*, 2023. Modelling COVID-19 epidemic with confirmed cases-driven contact tracing quarantine. Infectious Disease Modelling, 8:415-426.
Xue, L., Zhang, H., Zheng, X., Sun, W., Lei, J.*, 2023. Treatment of melanoma with dendritic cell vaccines and immune checkpoint inhibitors: A mathematical modeling study. J Theor Biol, 568:111489.
Ma, S., Lei, J., Lai, X.*, 2023. Modeling tumour heterogeneity of PD-L1 expression in tumour progression and adaptive therapy. J Math Biol, 86:38.
Zhang, H., Lei, J.*, 2022. Optimal treatment strategy of cancers with intratumor heterogeneity. Math Biosci Eng, 19(12):13337-13373.
Lv, Q., Ma, W., Lei, J.*, 2022. Power law dependence in a random differential equation. Int J Mod Phys B, 37(4):2350040.
Wang, S., Hao, M., Pan, Z., Lei, J.*, Zou X.*, 2021. Data-driven multiscale mathematical modeling of SARS-CoV-2 infection reveals heterogeneity among COVID-19 patients. PLoS Comput Biol, 17(11):e1009587.
Deng, Y., Xing, S., Zhu, M., Lei, J.*, 2021. Impact of insufficient detection in COVID-19 outbreaks. Math Biosci Eng, 18(6):9727-9742.
Liu, C., Hao, L., Lei, J.*, 2021. Macroscopic dynamics of gene regulatory networks revealed by individual entropy. Int J Mod Phys B. 35(2), 2150331.
Xu, C., Pei, Y. -Z., Liu, S. -Q., Lei, J.*, 2021. Effectiveness of non-pharmaceutical interventions against local transmission of COVID-19: An individual-based modelling study. Infectious Disease Modelling, 6:848-858.
Chang, C., Shao, C., Jiao, X., Bai, Y., Li, M., Shi, H., Lei, J.*, Zhong, X.*, 2021. Individual cell-based modeling of tumor cell plasticity-induced immune escape after CAR-T therapy. Comput Syst Oncol, 1:e21029.
Yu, Y. -S., Yang, Z. -Q., Lei, J.*, 2020. Using single-cell entropy to describe the dynamics of reprogramming and differentiation of induced pluripotent stem cells. Int J Mod Phys B, 34(30): 2050288.
Lei, J., 2020. Viewpoints on modelling: comments on ``Achilles and the torroies: some cavets to mathematical modelling in biology'', Math Appl Sci Eng, 1(1), 1-7.
Liu, J. -X., Song, Y., Lei, J.*, 2020. Singel-cell entropy to quantify the cellular order parameter from single-cell RNA-seq data. Biophys Rev Lett, 15(1):35-49, doi:10.1142/S1793048020500010.
Lei, J., 2020. Evolutionary dynamics of cancer: From epigenetic regulation to cell population dynamics--mathematical framework, application, and open problems. Sci China Math, 63(3), 411-424.
Lei, J., 2020. A general mathematical framework for understanding the behavior of heterogeneous stem cell regeneration. J Theor Biol, 492, 110196.
Zhuge, C., Mackey, M., Lei, J.?, 2019. Origins of oscillation patterns in cyclical thrombocytopenia. J. Theor. Biol, 462, 432-445.
Yang, H. L., Lei, J.*, 2019. A mathematical model of chromosome recombination-induced drug resistance in cancer therapy. Math Biosci Eng., 16(6), 7098-7111.
Huang, R. -S, Lei, J.*, 2019. Cell-type switches induced by stochastic histone modification inheritance. Discrete and Continuous Dynamical Systems -B, 22(11), 1-19.
Ye, Y. -S., Yang, Z. -Q., Lei, J.*, 2019. Stochastic telomere shortening and the route to limitless replicative potential. J. Comput. Biol., 26, doi:10.1089/cmb.2018.0234.
Zhuge, C., Mackey, M., Lei, J.*, 2019. Origins of oscillation patterns in cyclical thrombocytopenia. J. Theor. Biol, 462, 432-445.
Yu, Y., Situ, Q., Jia, W., Li, J., Wu, Q.?, Lei, J.?, 2018. Data driven mathematical modelling reveals the dynamic mechanism of MSC-induced neovascularization. The FASEB Journal, fj.201801652R (2018). doi:10.1096/fj.201801652R.
Jiao, X., Lei, J.?, 2018. Dynamics of gene expression based on epigenetic modifications. Communications in Information and Systems, 18, 125148.
Hao, L., Yang, Z., Lei, J.?, 2018. Underlying mechanisms of cooperativity, input specificity, and associativity of long-term potentiation through a positive feedback of local protein synthesis. Frontiers in Computational Neuroscience, 12, 25.
Song, Y., Situ, F., Zhu, H., Lei, J.?, 2018. To be the Prince to wake up Sleeping Beauty: the rediscovery of the delayed recognition studies. Scientometrics, 117, 9-24.
Huang, R., Lei, J.?, 2018. Dynamics of gene expression with positive feedback to histone modifications at bivalent domains. Int. J. Mod. Phys. B, 32, 1850075.
Hao, L., Yang, Z., Gong, P., Lei, J.?, 2018. Maintenance of postsynaptic neuronal excitability by a positive feedback loop of postsynaptic BDNF expression. Congitive Neurodynamics, 12(4), 403-416, doi:10.1007/s11571- 018-9479-z.
Lei, J., Chen, D. B.?, Nie, Q.?, 2018. A single-cell epigenetic model for parental psychological stress-induced transgenerational reprogramming in offspring. Biology of Reproduction, 96(6), 846-855, doi:10.1093/biolre/ioy050.
Shi, B., Guo, X., Yang, Y., Xiong, Y., Wang, J., Hayahshi, K., Lei, J., Zhang, L.?, Jiao, Y.?, 2018. Feedback from lateral organs controls shoot apical meristem growth by modulating auxin transport. Dev. Cell, 44(2), 204-216.
Xia, W., Lei, J.?, 2018. Formulation of the protein synthesis rate with sequence information. Math. Biosci. Eng., 15(2), 507-522.
Song, S., Ren, H., Lei, J.?, 2017, Collaborations between CpG sites in DNA methylation. Int. J. Mod. Phys. B. 31, 1750243.
Situ, Q., Lei, J.?, 2017. A mathematical model of stem cell regeneration with epigenetic state transitions. Mathematical Biosciences and Engineering. 14(5-6), 1379-1397.
Guo, Y., Nie, Q., MacLean, A.L., Li, Y., Lei, J.*, Li, S.*, 2017. Multiscale modeling of inflammation-induced tumorigenesis reveals competing oncogenic and oncoprotective roles for inflammation. Cancer Research, 77, 6429-6441.
Li, J., Du, M-M., Wang, R., Lei, J.?, Wu, Y.?, 2016. Astrocytic gliotransmitter: diffusion dynamics and induction of information processing on tripartite synapses. Int. J. Bif. Chaos, 26, 1650138.
Lei, J., Lo, W-C., Nie, Q.*, 2016. Mathematical models of morphogen dynamics and growth control, Annals of Mathematical Sciences and Applications, 1, 427-471.
Lei, J., Lo, W-C., Nie, Q., 2016. Mathematical models of morphogen dynamics growth control. Ann. Math. Sci. Appl., 1, 427-471.
Wang, R., Li, J., Du, M., Lei, J.?, Wu, Y.?, 2016. Transition of spatiotemporal patterns in neuronal networks with chemical synapses. Commun. Nonlinear Sci. Numer. Simulat., 40, 80-88.
Jin, H., Lei, J.?, 2016. A hybrid model of molecular regulation and population dynamics for yeast autophagy. J. Theor. Biol., 402, 45-53.
Zhuge, C., Sun, X., Chen, Y., Lei, J.?, 2016. PDCD5 interacts with p53 and functions as a regulator of p53 dynamics in the DNA damage response. J Theor. Biol. 388, 1-10.
Lei, J., 2016. On a classification of polynomial differential operators with respect to the type of first integrals. J Differential Equations, 260, 1993-2025.
Lei, J., 2015. The modeling and analysis of biochemical reaction systems. J Jianxi Normal Univ. 2015(03):230-239.
Xie, J., Xiang, C., Ma, J., Tan, J., Wen, T., Lei, J., Nie, Q.?, 2015. An adaptive hybrid algorithm for global network alignment. Computational Biology and Bioinformatics, IEEE/ACM Transcations. vol. PP, no. 99, pp. 1. doi:10.1109-TCBB.2015.2465957.
Bi, Y., Yang, Z., Zhuge, C., Lei, J.?, 2015. Bifurcation analysis and potential landscape of the p53-Mdm2 oscillator regulated by the co-activator programmed cell death 5. Chaos, 25, 113103.
Hao, L., Yang, Z., Lei, J.?, 2015. Bifurcation analysis of a delay differential equation model associated with the induction of long-term memory. Chaos, Solitons and Fractals, 81, 162-171.
Ma, S., Zhu, K., Lei, J.?, 2015. Bistability and state transition of a delay differential equation model of neutrophil dynamics. International Journal of Bifurcation and Chaos, 25, 1550017.
Zhang, X., Jin, H., Yang, Z., Lei, J.?, 2014. Effects of elongation delay in transcription dynamics. Journal of Mathematical Biosciences and Engineering, 11, 1431-1448.
Wang, Z., Li X., Lei, J.*, 2014. Moment boundedness of linear stochastic delay differential equations with distributed delay. Stochastic Processes and their Applications, 124, 586-612.
Lei, J., Levin, S.A.*, Nie, Q., 2014. Mathematical model of adult stem cell regeneration with cross-talk between genetic and epigenetic regulation, PNAS, E880-E887.
Jin, H., Lei, J.?, 2014. A mathematical model of cell population dynamics with autophagy response to starvation. Mathematical Bioscience, 258, 1- 10.
Wang, Z., Li, X., Lei, J.?, 2014. Moment boundedness of linear stochastic delay differential equation. Discrete and Continuous Dynamics System-B, 19, 2963-2991.
Jin, H., Lei, J.?, 2014, Modeling stochastic biochemical reaction with deterministic delay differential equations. Mathematical Modelling of Natural Phenomena, 9, 79-91.
Yvinec, R., Zhuge, C., Lei, J., Mackey, M., 2014. Adiabatic reduction of a model of stochastic gene expression with jump Markov process, J. Math. Biol., 68, 1051-1070.
Zhuge, C., Sun, X., Lei, J.?, 2013. On positive solutions and the Omega limit set for a class of delay differential equations. Discrete and Continuous Dynamics System-B, 18, 2487-2503.
Lei, J., Wang, D., Song, Y., Nie, Q., Wan, F.?, 2013. Robustness of morphogen gradients with “bucket brigade” transport through membrane- associated non-receptors. Discrete and Continuous Dynamics System-B, 18, 721-739.
Brooks, G., Langlois, G., Lei, J.?, Mackey, M., 2012. Neutrophil dynamics after chemotherapy and G-CSF: The role of pharmacokinetics in shaping the response. J. Theor. Biol. 315, 97-109.
Lei, J., 2012. Recent progress in hematological dynamics. Advances in Mechanics, 42, 294-313.
Naqib, F., Quail, T., Musa, L., Vulpe, H., Nadeau, J., Lei, J., Glass, L.?, 2012. Tunable oscillations and chaotic dynamics in systems with localized synthesis. Phys. Rev. E, 84, 046210.
Bernard, S., Pujo-Menjouet, L., Colijn, C., Lei, J., Mackey, M.C.?, 2012. Mathematical modeling of hematopoiesis. UNECO Encyclopedia of Life Support Systems (In press).
Zhuge, C., Lei, J.?, Mackey, M.C., 2012. Neutrophil dynamics in response to chemotherapy and G-CSF. J. Theor. Biol., 293, 111-120.
Zhuge, C., Chang, Y., Li, Y., Chen, Y., Lei, J., 2011. PDCD5-regulated cell fate decision after UV-irradiation induced DNA damage. Biophys. J., 101, 2582-2591.
Lei, J.?, Mackey, M.C., 2011. Deterministic Brownian motion generated from differential delay equations. Phys. Rev. E., 84, 041105.
Hong, L.?, Lei, J., 2011. A general shape equation for local regular structure of bimolecular chains. 2011 IEEE International Conference on Systems Biology, ISB 2011, 144-148.
Sun, X.?, Lei, J., Perc, M., Kurths, J., Chen, G., 2011. Burst synchronization transitions in a neuronal network of subnetworks. Chaos, 21, 016110.
Gu, C., Zhang, J., Chen, Y., Lei, J.?, 2011. A trigger model of TNF signaling induced apoptosis. BMS Systems Biology, 5 (Suppl 1):S13, doi:10.1186/1752- 0509-5-S1-S13.
Chu, J.?, Lei, J.?, Zhang, M.?, 2011. Lyapunov stability for conservative systems with lower degrees of freedom. Discrete and Continuous Dynamics System-B, 16, 423-443.
Lei, J., 2012. Stochastic modeling in system biology. J. Adv. Math. Appl.,1, 76-88. arXiv:1104:4524.
Lei, J., Wan, F., Lander, A., Nie, Q.?, 2011, Robustness of signaling gradient in drosophila wing imaginal disc. Discrete and Continuous Dynamics System-B, 16, 835-866.
Lei, J., Systems Biology–Modeling, Analysis, Simulation. Shanghai Scientific Press, Shanghai, 2010.
Sun, X.?, Lei, J., Perc, M., Lu, Q., Lv, S., 2010. Effects of channels noise on firing coherence of small-world Hodgkin-Huxley neuronal networks. Eur. Phys. J. B, 79, 61-66.
Lei, J.?, Huang, K., 2010. Protein Folding: A perspective from statistical physics. In Protein Folding, Eric C. Walters ed., NOVA Publishers, 2010, pp. 579-604.
Gu, C., Zhang, J., Chen, Y., Lei, J.?, 2010. A mathematical model of Fas signaling induced apoptosis. The 4th International Conference on Computational Systems Biology.
Lei, J.?, Mackey, M., 2010. Multistability in an age-structured model of hematopoiesis: Cyclical neutropenia, J. Theor. Biol. 270, 143-153.
Ma, S., Wang, X., Lei, J., Feng, Z.?, 2010. Dynamics of the delay hematological cell model. Inter. J. Biomathematics. 3, 105-125.
Lei, J.?, 2010. Probability distribution of the radius of gyration of freely jointed chains. J. Chem. Phys. 133, 104903.
Lei, J., 2010. Mathematical model of the Dpp gradient formation in Drosophila wing imaginal disc (in Chinese). Chinese Science Bulletin. 55, 984-991.
Lei, J.?, Song, Y., 2010. Mathematical model of the formation of morphogen gradients through membrane-associated non-receptors. Bull. Math. Biol. 72, 805-829.
Lei, J.?, Huang, K., 2009. Elastic energy of proteins and the stages of protein folding. Europhys. Lett. 88, 68004.
Lei, J., He, G., Liu, H., Nie, Q.?, 2009. A delay model for noise-induced bi-directional switching. Nonlinearity 22, 2845-2859.
Chu, J., Lei, J., Zhang, M.?, 2009. The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator. J. Diff. Equs. 247, 530-542.
Hong, L.? Lei, J.?, 2009. Scaling law for the radius of gyration of proteins and its dependence on hydrophobicity. J. Polym. Sci. B: Polym. Phys. 47, 207-214.
Lei, J., 2009. Stochasticity in single gene expression with both intrinsic and extrinsic noise and fluctuation in kinetic parameters. J. Theor. Biol. 256, 485-492.
Hong, L.? Lei, J.?, 2008. Statistical mechanical model for helix-sheet-coil transitions in homopolypeptides. Phys. Rev. E 78, 051904.
Lei, J.?, Huang, K., 2008. Dynamics of Alpha-Helix formation in the CSAW model. Euro. Phys. J. E. 27, 197-204.
Lei, J.?, Mackey, M.C.?, 2007. Stochastic differential delay equation: Moment stability and its application to the hamatopoietic stem cell regulation system. SIAM. J. Appl. Math. 67(2007), 387-407.
Lemaire, V., Lee, C.F. Lei, J., Metivier, R., Glass, L., 2006. Sequential recruitment and combinational assembling of multiprotein complexes in transcriptional activation. Phys. Rev. Lett. 96(19), 198102.
Lei, J., Santoprete, M.?, 2006. Rosette Central Configurations, Degenerate Central Configurations and Bifurcation. Celestial Mechanics and Dynamical Astronomy 94, 271-287.
Lemaire, V., Lee, C-F., Lei, J., Metivier R., Glass L.*, 2006. Sequential recruitment and combinatorial assembling of multiprotein complexes in transcriptional activation, PRL, 96, 198102.
Lei, J., Torres, P.J.?, 2006. L1criteria for stability of periodic solutions of a newtonian equation. Math. Proc. Cambridge Philos. Soc. 140-2, 359-368.
Lei, J.?, Yang, L., 2005. Algebraic multiplicity and the Poincare problem. In Differential equations with symbolic computation, Wang Dong- ming, Zheng Zhiming (Eds), Chapter 9, Birkauser.
Lei, J., Torres, P.J., Zhang, M.?, 2005. Twist Character of the Fourth Order Resonant Periodic Solution. J. Dynam. Diff. Eqs. 17(1), 21-50.
Lei, J.?, Li, X., 2003. Some dynamical properties of the stadium billiard. Physica D: Nonlinear Phenomena 189(1-2), 49-60.
Lei, J., Li, X., Yan, P., Zhang, M.?, 2003. Twist character of the least amplitude periodic solution of the forced pendulum. SIAM J. Math. Anal.35, 844-867.
Lei, J., Zhang, M.?, 2002. Twist property of periodic motion of an atom near a charged wire. Lett. Math. Phys. 60(1), 9-17.
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