專家信息：

雷錦志，男，1974年出生，博士，現任天津工業大學教授，博士生導師。主要從事生物數學和計算系統生物學等研究，在癌癥演變動力學、干細胞增殖的多尺度建模等領域取得一系列研究成果，提出原創的異質性干細胞增殖過程數學模型框架。主要研究方向為計算數學、計算系統生物學、生物數學。

曾任清華大學周培源應用數學研究中心副研究員，博士生導師。與美國、加拿大和新加坡等海外高校的學者保持密切的國際交流合作。多次訪問美國加州大學爾灣分校、加拿大麥吉爾大學和新加坡南洋理工大學。

教育及工作經歷：

1.1991.9-1995,7, 北京航空航天大學應用數學系,本科。學位論文：Riccati 方程的代數曲線解問題研究。

2.1995,9--1998,4, 北京航空航天大學理學院,碩士。學位論文: 李群理論在微分方程可積性研究中的應用。

3.1998,9--2001,9, 北京航空航天大學理學院,博士。學位論文： 雙恒星系統及相關數學問題研究。

4.2001,9-2003,7, 博士后清華大學數學科學系。出站報告： 非線性牛頓型方程周期解的穩定性、運動場型臺球問題的保序軌道、二階多項式系統的Liouville 可積性。

5.2003,7--2006,12, 清華大學周培源應用數學研究中心，助理研究員。

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 , 清華大學周培源應用數學研究中心，副研究員、 研究員&。

10.2020--至今，天津工業大學數學科學學院   教授，博士生導師

學術兼職：

1、工業與應用數學學會數學生命科學專業委員會副主任

2、運籌學會計算系統生物學分會常務委員。

3、中國生物信息學學會（籌）網絡生物學專委會委員。

4、中國數學會生物數學專業委員會委員。

5、Mathematics in Applied Sciences and Engineering 編委。

6、Mathematical Biosciences and Engineering 編委。

7、Zentralblatt MATH 評論員。

8、AMS Math 評論員。

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

10、New Springer Series: Lecture Notes on Mathematical Modelling in the Life Sciences編委會成員, 2011。

主講課程：

系統生物學的數學方法

應用數學方法

培養研究生情況：

1.靳慧琴, 博士生 (2011 ). 研究課題: 細胞自噬的基因調控網絡。

2.諸葛昌靖, 博士生 (2008). 研究課題: 細胞凋亡的基因調控網絡。

3.洪柳, 博士生 (2004-2009). 研究課題: 蛋白質結構的統計力學理論. 已畢業, 現在周培源應用數學研究中心做博士后。

4.孫曉娟, 博士后 (2009 -- 2011). 孫曉娟于 2009 年 7 月在北京航空航天大學獲得博士學位, 研究方向為計算神經科學. 現在中科院基因所。 

研究方向：

1.微分方程: 微分方程的可積性理論, 微分 Galois 理論。

2.動力系統: 哈密頓系統, Morse 扭轉理論與應用。

3.系統生物學:

蛋白質折疊: 蛋白質折疊的動力學原理和模型；

計算生物學: 發育的基因調控網絡; 細胞凋亡和癌癥發生的基因調控網絡。

承擔科研項目情況：

1、國家自然科學基金重點項目，題目“癌癥耐藥復發動力學的數學理論與方法”，193.00萬元，2024.1-2024.12。 

2、國家自然科學基金重大研究計劃重點集成項目，題目“干細胞增殖的計算建模及其在癌癥演變動力學的應用”，160.00 萬元，2018.1-2019.12。

3、國家自然科學基金重大研究項目培育項目(NSFC, 91430101),，題目“成體干細胞再生與分化調控的逆向建模”，70.00萬元，2015.1-2017.12。

4、國家自然科學基金面上項目，題目“造血系統動力學分析與控制策略研究”，78.00萬元，2013.1-2016.12。

5、國家自然科學基金青年項目 (NSFC, 10601029)，題目“影響果蠅翅膀發育的基因調控網絡的數學模型”，17.00 萬元，2007.1-2009.12。

6、辛映射的動力學行為 (項目負責人: 黎雄), 國家自然科學基金 (NSFC, 10301006), ( 7 萬元)，2004.01-2006.12 。

7、細胞凋亡過程的快慢尺度分析 (項目負責人: 雍穩安), 國家自然科學基金 (NSFC, 10971113), (24 萬元)，2010.01-2012.12。

8、造血系統動力學分析與控制策略研究, 國家自然科學基金 (NSFC, 11272169), (78 萬元)，2013.01-2016.12。

9、非可控炎癥惡性轉化的調控網絡及其分子機制（項目負責人：李梢）, 國家自然科學基金重點項目 (NSFC, 91229201), (300 萬元)，2013.01-2016.12 。

科研成果：

主要從事數學理論和系統生物學方面的研究，研究方向為動力系統及其應用、計算系統生物學、數學腫瘤學。近年來主要從事計算系統生物學領域的研究，對從分子到多細胞體系不同尺度的生命過程建立可計算模型，以實驗事實為基礎探索復雜現象背后的普適規律和定量模型，通過數學和計算手段研究生命科學問題。主要研究內容包括：蛋白質折疊的物理機制、發育生物學中模態形成和魯棒性的機制、造血系統動力學與動態血液病、基因調控網絡的動力學、計算癌生物學、生物信息學、健康大數據分析。到目前共發表論文90 余篇，出版了三本系統生物學著作，主持國家自然科學基金項目五項。

1.應用莫澤爾扭轉定理給出了一維拉格朗日系統在周期激勵下周期解的穩定性判據。

2.建立了二階多項式系統的微分伽羅華理論和可積性判據。

3.對線性時滯隨機微分方程解的H無窮性質進行開創性的研究并且給出了特征函數的明確定義。

4.與黃克孫教授合作建立了模擬蛋白質折疊的自避回歸游走模型和并提出了被國際學者命名為Huang-Lei公式的具有普適意義的描述蛋白質結構彈性能量的唯象公式；對形態生成素濃度梯度的魯棒性問題做了系統研究并從數學上闡明了在果蠅翅膀發育中非受體蛋白對調控魯棒性的重要性，對調控果蠅翅膀發育過程中貌似多余的調控通路的作用給出了定量說明。

5.非線性動力學的推廣、擴充和深入發展得到了進一步的推動，這將幫助人們更加系統地了解造血系統的復雜行為和在不同的參數激勵下系統動力學行為的響應，為了解特定動態血液病的病理和設計合理可行的控制治療方案建立理論基礎，同時增進了解人體生命系統調控機制的動力學和控制策略，拓展仿生學在力學與控制中的應用。 

論文專著：

[1]雷錦志著, 系統生物學-建模,分析,模擬, 上�？茖W技術出版社, 2010.

[2]Hilary Glasman-Deal 著, 雷錦志, 劉俊麗, 武林曉譯, 英語科技寫作, 機械工業出版社, 2011.

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

[4]李曉文，武林曉，雷錦志(翻譯)，英語科技寫作(第二版)，世界圖書出版公司，2023.

[5]雷錦志，易鳴，楊凌，劉銳，祁宏，系統生物學，科學出版社，2024.

發表英文論文： 

[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.  

發表中文論文：

1 生化反應系統的建模與分析 雷錦誌 江西師范大學學報(自然科學版) 2015-05-15

2 一個血細胞生成時滯微分方程模型的分岔分析 馬蘇奇;雷錦誌 第十四屆全國非線性振動暨第十一屆全國非線性動力學和運動穩定性學術會議摘要集與會議議程 2013-05-10

3 確定性布朗運動的理論與應用 雷錦誌 第十四屆全國非線性振動暨第十一屆全國非線性動力學和運動穩定性學術會議摘要集與會議議程 2013-05-10

4 化療和G-CSF混合治療下白細胞數量動力學行為的控制 雷錦誌 第十四屆全國非線性振動暨第十一屆全國非線性動力學和運動穩定性學術會議摘要集與會議議程 2013-05-10

5 白細胞減少癥的動力學研究進展 雷錦誌 第九屆全國動力學與控制學術會議會議手冊 2012-05-18

6 時滯系統動力學在動態血液病研究中的應用及白細胞減少癥的動力學研究進展 雷錦誌 第九屆全國動力學與控制學術會議會議手冊 2012-05-18

7 血細胞生成的系統動力學研究進展 優先出版 雷錦誌 力學進展 2012-05-15 16:16

8 果蠅翅膀器官芽中Dpp濃度梯度形成的數學模型 雷錦誌 科學通報 2010-04-15       

      學術報告：

      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, 第十一屆全國泛函微分方程學術會議, 張家界.

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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