雷锦誌 天津工业大学研究员

专家信息：

雷锦志，男，1974年出生，博士，现任天津工业大学教授，博士生导师。主要从事生物数学和计算系统生物学等研究，在癌症演变动力学、干细胞增殖的多尺度建模等领域取得一系列研究成果，提出原创的异质性干细胞增殖过程数学模型框架。主要研究方向为计算数学、计算系统生物学、生物数学。

曾任清华大学周培源应用数学研究中心副研究员，博士生导师。与美国、加拿大和新加坡等海外高校的学者保持密切的国际交流合作。多次访问美国加州大学尔湾分校、加拿大麦吉尔大学和新加坡南洋理工大学。

教育及工作经历：

1.1991.9-1995,7, 北京航空航天大学应用数学系,本科。学位论文：Riccati 方程的代数曲线解问题研究。

2.1995,9--1998,4, 北京航空航天大学理学院,硕士。学位论文: 李群理论在微分方程可积性研究中的应用。

3.1998,9--2001,9, 北京航空航天大学理学院,博士。学位论文： 双恒星系统及相关数学问题研究。

4.2001,9-2003,7, 博士后清华大学数学科学系。出站报告： 非线性牛顿型方程周期解的稳定性、运动场型台球问题的保序轨道、二阶多项式系统的Liouville 可积性。

5.2003,7--2006,12, 清华大学周培源应用数学研究中心，助理研究员。

6.2004,9--2005,6, Visiting Assistant Professor, Depertment of Mathemtaics, University of California, Irvine.

7.2005,7--2005,12, China-Canada exchange scholar fellowship, McGill University, Canada.

8.2008,4--2008,9, Visiting Associate Researcher, Depertment of Mathemtaics, University of California, Irvine.

9.2006,12--2019 , 清华大学周培源应用数学研究中心，副研究员、 研究员&。

10.2020--至今，天津工业大学数学科学学院   教授，博士生导师

学术兼职：

1、工业与应用数学学会数学生命科学专业委员会副主任

2、运筹学会计算系统生物学分会常务委员。

3、中国生物信息学学会（筹）网络生物学专委会委员。

4、中国数学会生物数学专业委员会委员。

5、Mathematics in Applied Sciences and Engineering 编委。

6、Mathematical Biosciences and Engineering 编委。

7、Zentralblatt MATH 评论员。

8、AMS Math 评论员。

9、Journal of Advanced Mathematics and Applications 编委, 2010。

10、New Springer Series: Lecture Notes on Mathematical Modelling in the Life Sciences编委会成员, 2011。

主讲课程：

系统生物学的数学方法

应用数学方法

培养研究生情况：

1.靳慧琴, 博士生 (2011 ). 研究课题: 细胞自噬的基因调控网络。

2.诸葛昌靖, 博士生 (2008). 研究课题: 细胞凋亡的基因调控网络。

3.洪柳, 博士生 (2004-2009). 研究课题: 蛋白质结构的统计力学理论. 已毕业, 现在周培源应用数学研究中心做博士后。

4.孙晓娟, 博士后 (2009 -- 2011). 孙晓娟于 2009 年 7 月在北京航空航天大学获得博士学位, 研究方向为计算神经科学. 现在中科院基因所。 

研究方向：

1.微分方程: 微分方程的可积性理论, 微分 Galois 理论。

2.动力系统: 哈密顿系统, Morse 扭转理论与应用。

3.系统生物学:

蛋白质折叠: 蛋白质折叠的动力学原理和模型；

计算生物学: 发育的基因调控网络; 细胞凋亡和癌症发生的基因调控网络。

承担科研项目情况：

1、国家自然科学基金重点项目，题目“癌症耐药复发动力学的数学理论与方法”，193.00万元，2024.1-2024.12。 

2、国家自然科学基金重大研究计划重点集成项目，题目“干细胞增殖的计算建模及其在癌症演变动力学的应用”，160.00 万元，2018.1-2019.12。

3、国家自然科学基金重大研究项目培育项目(NSFC, 91430101),，题目“成体干细胞再生与分化调控的逆向建模”，70.00万元，2015.1-2017.12。

4、国家自然科学基金面上项目，题目“造血系统动力学分析与控制策略研究”，78.00万元，2013.1-2016.12。

5、国家自然科学基金青年项目 (NSFC, 10601029)，题目“影响果蝇翅膀发育的基因调控网络的数学模型”，17.00 万元，2007.1-2009.12。

6、辛映射的动力学行为 (项目负责人: 黎雄), 国家自然科学基金 (NSFC, 10301006), ( 7 万元)，2004.01-2006.12 。

7、细胞凋亡过程的快慢尺度分析 (项目负责人: 雍稳安), 国家自然科学基金 (NSFC, 10971113), (24 万元)，2010.01-2012.12。

8、造血系统动力学分析与控制策略研究, 国家自然科学基金 (NSFC, 11272169), (78 万元)，2013.01-2016.12。

9、非可控炎症恶性转化的调控网络及其分子机制（项目负责人：李梢）, 国家自然科学基金重点项目 (NSFC, 91229201), (300 万元)，2013.01-2016.12 。

科研成果：

主要从事数学理论和系统生物学方面的研究，研究方向为动力系统及其应用、计算系统生物学、数学肿瘤学。近年来主要从事计算系统生物学领域的研究，对从分子到多细胞体系不同尺度的生命过程建立可计算模型，以实验事实为基础探索复杂现象背后的普适规律和定量模型，通过数学和计算手段研究生命科学问题。主要研究内容包括：蛋白质折叠的物理机制、发育生物学中模态形成和鲁棒性的机制、造血系统动力学与动态血液病、基因调控网络的动力学、计算癌生物学、生物信息学、健康大数据分析。到目前共发表论文90 余篇，出版了三本系统生物学著作，主持国家自然科学基金项目五项。

1.应用莫泽尔扭转定理给出了一维拉格朗日系统在周期激励下周期解的稳定性判据。

2.建立了二阶多项式系统的微分伽罗华理论和可积性判据。

3.对线性时滞随机微分方程解的H无穷性质进行开创性的研究并且给出了特征函数的明确定义。

4.与黄克孙教授合作建立了模拟蛋白质折叠的自避回归游走模型和并提出了被国际学者命名为Huang-Lei公式的具有普适意义的描述蛋白质结构弹性能量的唯象公式；对形态生成素浓度梯度的鲁棒性问题做了系统研究并从数学上阐明了在果蝇翅膀发育中非受体蛋白对调控鲁棒性的重要性，对调控果蝇翅膀发育过程中貌似多余的调控通路的作用给出了定量说明。

5.非线性动力学的推广、扩充和深入发展得到了进一步的推动，这将帮助人们更加系统地了解造血系统的复杂行为和在不同的参数激励下系统动力学行为的响应，为了解特定动态血液病的病理和设计合理可行的控制治疗方案建立理论基础，同时增进了解人体生命系统调控机制的动力学和控制策略，拓展仿生学在力学与控制中的应用。 

论文专著：

[1]雷锦志著, 系统生物学-建模,分析,模拟, 上海科学技术出版社, 2010.

[2]Hilary Glasman-Deal 著, 雷锦志, 刘俊丽, 武林晓译, 英语科技写作, 机械工业出版社, 2011.

[3]Jinzhi Lei， Systems Biology-Modeling, Analysis, and Simulation, Springer, Switzerland. 2021. 

[4]李晓文，武林晓，雷锦志(翻译)，英语科技写作(第二版)，世界图书出版公司，2023.

[5]雷锦志，易鸣，杨凌，刘锐，祁宏，系统生物学，科学出版社，2024.

发表英文论文： 

[1]Lai, X., Jiao, X., Zhang, H., Lei, J.*, 2024, Computational modeling reveals key factors driving treatment-free remission in chronic myeloid leukemic patients. npj Systems Biology and Applications, 10:45.

[2] Jiang, H., Liu, J. X., Song, Y., Lei, J.*, 2024. Quantitative modeling of stemness in single-cell RNA sequencing data: a nonlinear one-class support vector machine method. 31(1): 1-17.

[3] Huang, R., Situ, Q., Lei, J.*, 2024. Dynamics of cell-type transition mediated by epigenetic modifications, J Theor Biol, 577:111664.

[4] Liang, X., Lei, J.*, 2024. Oscillatory dynamics of heterogeneous stem cell regeneration. Communications on Applied Mathematics and Computation. 6:431-453.

[5] Pei, Y.*, Han, S., Li, C., Lei, J., Wen, F., 2023. Data-based modeling of breast cancer and optimal therapy. J Theor Biol, 573:111593.

[6] Zhang, H., Zhang, M., Lei, J.*, 2023. A mathematical model with aberrant growth correction in tissue homeostasis and tumor cell growth. J Math Biol, 86:2.

[7] Wu, F., Liang, X., Lei, J.*, 2023. Modelling COVID-19 epidemic with confirmed cases-driven contact tracing quarantine. Infectious Disease Modelling, 8:415-426.

[8] 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.

[9] 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.

[10] Zhang, H., Lei, J.*, 2022. Optimal treatment strategy of cancers with intratumor heterogeneity. Math Biosci Eng, 19(12):13337-13373.

[11] Lv, Q., Ma, W., Lei, J.*, 2022. Power law dependence in a random differential equation. Int J Mod Phys B, 37(4):2350040.

[12] 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.

[13] Deng, Y., Xing, S., Zhu, M., Lei, J.*, 2021. Impact of insufficient detection in COVID-19 outbreaks. Math Biosci Eng, 18(6):9727-9742.

[14] 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.

[15] 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. 

[16] 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. 

[17] 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.

[18] 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.

[19] 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.

[20] 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.

[21] Lei, J., 2020. A general mathematical framework for understanding the behavior of heterogeneous stem cell regeneration. J Theor Biol, 492, 110196.

[22] Zhuge, C., Mackey, M., Lei, J.*, 2019. Origins of oscillation patterns in cyclical thrombocytopenia. J. Theor. Biol, 462, 432-445.

[23] 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. 

[24] 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.

[25] 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.

[26] Zhuge, C., Mackey, M., Lei, J.*, 2019. Origins of oscillation patterns in cyclical thrombocytopenia. J. Theor. Biol, 462, 432-445.

[27] 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.

[28] Jiao, X., Lei, J.*, 2018. Dynamics of gene expression based on epigenetic modifications. Communications in Information and Systems, 18, 125148.

[29] 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.

[30] 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.

[31] 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.

[32] 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.

[33] 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.

[34] 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.

[35] Xia, W., Lei, J.*, 2018. Formulation of the protein synthesis rate with sequence information. Math. Biosci. Eng., 15(2), 507-522.

[36] Song, S., Ren, H., Lei, J.*, 2017, Collaborations between CpG sites in DNA methylation. Int. J. Mod. Phys. B. 31, 1750243.

[37] 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.

[38] 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.

[39] 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.

[40] 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.

[41] Lei, J., Lo, W-C., Nie, Q., 2016. Mathematical models of morphogen dynamics growth control. Ann. Math. Sci. Appl., 1, 427-471.

[42] 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.

[43] Jin, H., Lei, J*., 2016. A hybrid model of molecular regulation and population dynamics for yeast autophagy. J. Theor. Biol., 402, 45-53.

[44] 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.

[45] Lei, J., 2016. On a classification of polynomial differential operators with respect to the type of first integrals. J Differential Equations, 260, 1993-2025.

[46] Lei, J., 2015. The modeling and analysis of biochemical reaction systems. J Jianxi Normal Univ. 2015(03):230-239.

[47] 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.

[48] 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.

[49] 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.

[50] Suqi Ma, Kaiyi Zhu, Jinzhi Lei*, Bistability and state transition of a delay differential equation model of neutrophil dynamics. International Journal of Bifurcation and Chaos 25(2015), 1550017..

[51] Xuan Zhang, Huiqin Jin, Zuoqin Yang, Jinzhi Lei*, Effects of elongation delay in transcription dynamics. Journal of Mathematical Biosciences and Enginnering, 11(2014), 1431-1448.

[52] Zhen Wang, Xiong Li, Jinzhi Lei*, Moment boundedness of linear stochastic differential equation with distributed delay. Stochastic Processes and their Applications , 124(2014),586-612. doi:10.1016/j.spa.2013.09.002.

[53] Jinzhi Lei*, Simon Levin, Qing Nie, Mathematical model of adult stem cell regeneration with crosstalk between genetic and epigenetic regulation. Proc Natl Acad Sci USA, 111(2014), E880-887. See Commentary.

[54] Huiqin Jin, Jinzhi Le*i, 2014. A mathematical model of cell population dynamics with autophagy response to starvation. Mathematical Bioscience, 258, 1- 10.doi:10.1016/j.mbs.2014.08.014.

[55] Zhen Wang, Xiong Li, Jinzhi Lei*, Second moment boundedness of linear stochastic delay differential equations. Discrete and Continuous Dynamical System-B, 19(2014), 2963-2991.

[56] Huiqin Jin, Jinzhi Lei*, Modeling stochastic biochemical reaction with deterministic delay differential equations. Mathematical Modelling of Natural Phenomena, 9(2014), 79-91.

[57] Romain Yvinec, Changjing Zhuge, Jinzhi Lei, Michael C. Mackey, Adiabatic reduction of a model of stochastic gene expression with jump Markov process. J. Math. Biol., 68(2014), 1051-1070. arXiv:1202.5411

[58]Jinzhi Lei, Michael C. Mackey, Understanding and treating cytopenia through mathematical modelling.In Seth J. Corey, Marek Kimmel, Joshua N. Leonard Ed. A Systems Biology Approach to Blood, Chapter 14, 279-302. Springer, New York, 2014.

[59] Changjing Zhuge, Xiaojuan Sun, Jinzhi Lei*, On positive solutions and the Omega limit set for a class of delay differential equations. Discrete and Continuous Dynamical System-B 18(2013),2487-2503. doi:10.3934/dcdsb.2013.18.2487. arXiv:1202.3529

[60] Jinzhi Lei*, Dongyong Wang, You Song, Qing Nie, Frederic Y.M. Wan, Robustness of morphogen gradients with ``bucket brigade'' transport through membrane-associated non-receptors. Discrete and Continuous Dynamical System-B, 18(2013), 721-739. doi:10.3934/dcdsb.2013.18.721. 

[61] Grace Brooks, Gabriel Provencher Langlois, Jinzhi Lei*, Michael C. Mackey, Neutrophil dynamics after chemotherapy and G-CSF: The role of pharmacokinetics in shaping the response. J. Theor. Biol. 315(2012), 97-109. doi:j.jtbi.2012.08.028

[62] Lei, J., 2012. Recent progress in hematological dynamics. Advances in Mechanics, 42, 294-313.

[63] .Faisal Naqib, Thomas Quail, Louai Musa, Horia Vulpe, Jay Nadeau, Jinzhi Lei*, Leon Glass, Tunable oscillations and chaotic dynamics in systems with localized synthesis. Phys. Rev. E, 84(2012), 046210, DOI:10.1103/PhysRevE.85.046210.

[64] 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).

[65] Changjing Zhuge, Jinzhi Lei, Michael C. Mackey, Neutrophil dynamics in response to chemotherapy and G-CSF, J. Theor. Biol., 293(2012), 111-120, doi:10.1016/j.jtbi.2011.10.017.

[66] Jinzhi Lei, Stochastic Modelling in Systems Biology. J. Adv. Math. Appl.1 (2012), 76-88. doi:10.1166/jama.2012.1007. arXiv:1104:4524

[67] Changjing Zhuge, Ying Chang, Yanjun Li, Yingyu Chen, Jinzhi Lei, PDCD5-regulated cell fate decision after UV-irradiation induced DNA damage. Biophysical Journal(2011), 101, 2582-2591 doi:10.1016/j.bpj.2011.10.044.

[68] Jinzhi Lei*, Michael C. Mackey, Deterministic Brownian motion generated from differential delay equations. Phys. Rev. E, 84(2011), 041105,.DOI: 10.1103/PhysRevE.84.041105, arXiv:1105.1580

[69] 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.

[70] Xiaojuan Sun*, Jinzhi Lei, Matjaz Perc, Jurgen Kurths, Guanrong Chen, Burst synchronization transitions in a neuronal network of subnetworks. Chaos(2011), 21, 016110.

[71] Chang Gu, Junjie Zhang, Yingyu Chen, Jinzhi Lei*, 2011. A trigger model of TNF signaling induced apoptosis. BMS Systems Biology, 5 (Suppl 1):S13, doi:10.1186/1752- 0509-5-S1-S13.

[72] Jifeng Chu, Jinzhi Lei*, Meirong Zhang*, Lyapunov stability for conservative systems with lower degree of freedom. Discrete and Continuous Dynamical Systems-B(2011), 16, 423-443, doi:10.3934/dcdsb.2011.16.423.

[73] Lei, J., 2012. Stochastic modeling in system biology. J. Adv. Math. Appl.,1, 76-88. arXiv:1104:4524.

[74] 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.

[75] Lei, J., Systems Biology–Modeling, Analysis, Simulation. Shanghai Scientific Press, Shanghai, 2010.

[76] 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.doi:10.1140/epjb/e2010-10031-3.

[77] Jinzhi Lei*, Kerson Huang, Protein Folding: A perspective from statistical physics. In Protein Folding, Eric C. Walters ed, NOVA Publishers, 2010, pp. 579-604. arXiv:1002.5013v1.

[78] Chang Gu, Junjie Zhang, Yingyu Chen, Jinzhi Lei, A mathematical model of Fas signaling induced apoptosis. The 4th International Conference on Computational Systems Biology.

[79] Jinzhi Lei*, Michael C. Mackey, 2010. Multistability in an age-structured model of hematopoiesis: Cyclical neutropenia, J. Theor. Biol. 270, 143-153.

[80] Suqi Ma, Xiaohui Wang, Jinzhi Lei, Zhaosheng Feng*, Dynamics of the delay hematological cell model. Inter. J. Biomathematics. 3(2010) 105-125

[81] Jinzhi Lei, Probability distribution of the radius of gyration of freely jointed chains. J. Chem. Phys. 133(2010), 104903.

[82] Jinzhi Lei, Mathematical model of the Dpp gradient formation in Drosophila wing imaginal disc (in Chinese). Chinese Science Bulletin. 55(2010), 984-991.

[83] Jinzhi Lei*, You Song, Mathematical model of the formation of morphogen gradients through membrane-associated non-receptors. Bull. Math. Biol. 72(2010), 805-829, DOI 10.1007/s11538-009-9470-2.

[84] J. Lei*, K. Huang, Elastic energy of proteins and the stages of protein folding. Europhys. Lett. . 88(2009) 68004.

[85] Jinzhi Lei, Guowei He, Haoping Liu, Qing Nie*, A delay model for noise-induced bi-directional switching. Nonlinearity, 22(2009), 2845-2859.

[86] J. Chu, J. Lei, M. Zhang*, The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator. J. Differential Equations. 247(2009), 530-542.

[87] Liu Hong, Jinzhi Lei*, Scaling Law for the Radius of Gyration of Proteins and Its Dependence on Hydrophobicity. J. Polymer Sci.. 47(2009), 207-214.

[88] Jinzhi Lei*, Stochasticity in Single Gene Expression with Both Intrinsic Noise and Fluctuation in Kinetic Parameters. J. Theor. Biol.. 256(2009), 485-492.

[89] Liu Hong, Jinzhi Lei*, Statistical mechanical model for helix-sheet-coil transitions in homopolypeptides. Phys. Rev. E. 78(2008) 051904.

[90]Jinzhi Lei, Nonlinear Differential Galois Theory. arXiv: math/0608492

[91]Jinzhi Lei, Changyi Wang, On the reducibility of compartmental matrices, Comp. Biol. Med. 38(2008), 881-885.

[92]Jinzhi Lei*, Kerson Huang, Dynamics of alpha helix formation in the CSAW Model, Eur. Phys. J. E 27(2008), 197-204.

[93] Jinzhi Lei, Michael C. Mackey∗, 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.

[94]Ke-ying Guan, Jin-zhi Lei, An attempt to differential Galois theory of second order polynomial system and solvable subgroup of Mobius transforamtions, Sci. China Ser A: Mathematics 50(2007), 748-760.

[95] 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.

[96] Jinzhi Lei, Manuele Santoprete*, 2006. Rosette Central Configurations, Degenerate Central Configurations and Bifurcation. Celestial Mechanics and Dynamical Astronomy 94, 271-287.

[97] Vincent Lemaire, Chiu Fan Lee, Jinzhi Lei, Raphael Metivier, Leon Glass.*, 2006. Sequential recruitment and combinatorial assembling of multiprotein complexes in transcriptional activation, PRL, 96, 198102.

[98] Lei, J., Torres, P.J.*∗, 2006. L1 criteria for stability of periodic solutions of a newtonian equation. Math. Proc. Cambridge Philos. Soc. 140-2, 359-368.

[99] Jinzhi Lei, Lijun Yang, 2005. Algebraic multiplicity and the Poincare problem. In Differential equations with symbolic computation, Wang Dong- ming, Zheng Zhiming (Eds), Chapter 9, Birkauser.

[100] 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.

[101] Jinzhi Lei, Xiong Li, Some dynamical properties of the stadium billiard, Physica D: Nonlinear Phenomena , 189(1-2), pp 49-60, DOI information: 10.1016/j.physd.2003.09.034.

[102] Jinzhi Lei, Xiong Li, Ping Yan, Meirong Zhang, Twist character of the least amplitude periodic solution of the forced pendulum, SIAM J. Math. Anal., 2003, 35, 844--867.

[103]Jinzhi Lei, Meirong Zhang, Twist property of periodic motion of an atom near a charged wire, Lett. Math. Phys., 2002, 60(1), 9-17. 

50.Guan K., Lei, J., Integrability of second order autonomous system. Ann. of Diff. Eqs. 18(2002), 117-135.

51.Lei, J., Liu, X., Algorithm for bi-level linear programming J. Beijing Univ. Aero. Astro. 22(1996), 78-83.  

发表中文论文：

1 生化反应系统的建模与分析 雷锦誌 江西师范大学学报(自然科学版) 2015-05-15

2 一个血细胞生成时滞微分方程模型的分岔分析 马苏奇;雷锦誌 第十四届全国非线性振动暨第十一届全国非线性动力学和运动稳定性学术会议摘要集与会议议程 2013-05-10

3 确定性布朗运动的理论与应用 雷锦誌 第十四届全国非线性振动暨第十一届全国非线性动力学和运动稳定性学术会议摘要集与会议议程 2013-05-10

4 化疗和G-CSF混合治疗下白细胞数量动力学行为的控制 雷锦誌 第十四届全国非线性振动暨第十一届全国非线性动力学和运动稳定性学术会议摘要集与会议议程 2013-05-10

5 白细胞减少症的动力学研究进展 雷锦誌 第九届全国动力学与控制学术会议会议手册 2012-05-18

6 时滞系统动力学在动态血液病研究中的应用及白细胞减少症的动力学研究进展 雷锦誌 第九届全国动力学与控制学术会议会议手册 2012-05-18

7 血细胞生成的系统动力学研究进展 优先出版 雷锦誌 力学进展 2012-05-15 16:16

8 果蝇翅膀器官芽中Dpp浓度梯度形成的数学模型 雷锦誌 科学通报 2010-04-15       

      学术报告：

      1.2010, 12-17-22, Robustness of Morphogen Gradient, The Fifth International Congress of Chinese Mathematicians, Beijing.

2.2010, 9. 9-11, A mathematical model of apoptosis regulation network, The Fourth International Conference on Computational Systems Biology, Suzhou.

3.2010, 7. 27-31, Dynamics in an hematopoietic model, 第十一届全国泛函微分方程学术会议, 张家界.

4.2009, 11. 6, Mathematical model: from molecular to network. Invited talk at Beijing Normal University, Beijing. Lecture PPT

5.2009, 10.20, Mathematical model: from molecular to network. Invited talk at South China University of Technology, Guangzhou.

6.2009, 6.14-17, Formation of morphogen gradients through membrance-associated non-receptors. SMB-CSMB Joint Conference 2009, Hangzhou, China.

7.2008, 4.21, Robustness of morphogen gradient. Colloquium talk in the Center for Applied Mathematics, University of Notre Dame.

8.2008, 2.18-2.29, Systems Biology. Mini-course in South China Normal University

9.2007, 12.9-12.13, Stability of Perodic Solution of Nonlinear Scalar Newtonian Equations. Guang Zhou Univerity.

10.2007,7.16-7.17, Series lectures in Harbin Institute of Technology.

11.2007, 7.13-7.15, Series lectures in Northeast Normal University.

12.2007, 6.9-6.10, Stability of Periodic Solution of Nonlinear Scalar Newtonian Equations. The third Shanghai internetional symposium on nonlinear science and applications. Fudan University, Shanghai, China. download pdf file

13.2007, 5.29-6.1, Intrinsic and extrinsic noise in gene expression. The 4'th International Conference on Mathematical Biology, Wuyishan, Fujian, China. download pdf file

14.2007,5.10, Systems biology's multiple maths. Invited talk at Beihang Univeristy.

15.2007,5.12, Folding of polyalanine through CSAW model. Invited talk at Physical methods in molecular biology. ZCAM, Tsinghua University.

16.2007,3.15-16, Folding of polyalanine through CSAW model. Invited talk at New Trends in Biomolecular Modeling: from Protein Folding to DNA Compaction. Nanyang Technological University, Singapore. download pdf file and movie of helical formation

17.2007, 1.11, Nonlinear Differential Galois group. Invited talk at Key Laboratory of Mathematics-Mechanization (KLMM) in Chinese Academy of Sciences (CAS). download pdf file.

18.2006, 7,17--7,21, Stochastic differential delay equation: Moment stability and its application to the hamatopoietic stem cell regulation system. International Conference on Recent Developments in Differential Equations and Applications(2006), Guangzhou University, China. download pdf file.

19.2006, 6,12--6,15, Stochastic differential delay equation: Moment stability and its application to the hamatopoietic stem cell regulation system. International Conference on Applied Mathematics and Interdisciplinary Research (2006), Nankai University, China. download pdf file.

20.2006, 4,22--4,27, Stochastic differential delay equation: Moment stability and its application to the hamatopoietic stem cell regulation system. The First China-Japan Colloquium of Mathematical Biology, South-West University(2006), Chongqing, China. download pdf file.

21.20/04/2006, Mathematical model of dynamical blood diseases. Invited talk at Department of Mathematics, Wuhan University.

22.19/04/2006, Gene network for the developement of drosophila wing disc. Invited talk at Department of Mathematics, Wuhan University.

23.01/12/2005, On robustness of morphogen gradients. Invited talk at Department of Mathematics & Statistics, The University of Vermont.

24.2004, 4.8--4.10, Differential Galois Theory of Second Order Polynomial System. AMS Central Section Meeting: Special Session on Classical and Differential Galois Theory, Lubbock, Texas

25.2002, 8,30--9.4, Twist character of the least amplitude periodic solution of the forced pendulum. Satellite conference of ICM2002, Ordinary Differential Equations, Lanzhou, China . 

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