应用统计系

副教授

王家赠

  • 邮箱:wangjiazeng@th.btbu.edu.cn

    地址:北京市房山区北京工商大学良乡主校区东区数学与统计学院

    个人简介

    籍贯浙江省诸暨市。

    研究兴趣

    主要的研究兴趣为神经元信号传递过程中的与噪声相关的生物物理问题,专注于研究钾、钠、和乙酰胆碱受体等离子通道的随机动力学结构。在此基础上,研究神经元细胞膜的膜电压涨落的特性与机制;在分子层面以及亚细胞层面的降噪结构。在恒定条件下的平稳性质,如膜电压的分布、矩、谱域上的性质、以及能量耗散、膜的阻抗特性等。以期定量地建模与描述生理条件下膜电压信号能够精确地形成、传导、转换的底层机制。此外,还专注于研究复杂网络上的传染病传播的动力学特征,包括随机动力学和确定性动力学。如爆发的阈值条件、规模、持续时间等

    主讲课程

    主讲本科生课程《数学分析》概率论与数理统计》以及硕士研究生课程《应用随机分析》。

    学习经历

    1992年9月-1996年7月,南京大学概率统计专业,理学学士;

    2000年9月-2003年6月,南京大学数量经济专业,经济学硕士;

    2006年4月-2008年12月,上海大学运筹学与控制论专业,理学博士

    工作经历

    2009年1月-2010年12月,北京大学数学科学学院(所),博士后;

    2015年9月-2016年1月,爱尔兰考克大学理学院(所),访问学者;

    2011年1月至今,北京工商大学理学院数学系,副教授。

    主要科研项目

    1.“复杂网络中的动态过程:从微观机制到宏观动力学”(11001004),国家自然科学基金青年项目,主持,2010.1-2012.12.

    2.“复杂网络上的随机过程”(20090450243),博士后科研基金,主持.

    3.“第三批博士后特别资助”(201003021),主持.

    主要学术成果

    离子通道和膜电压涨落领域:

    1.WANG J, MA S. General fluctuation-dissipation relations embedded in Markov switching diffusion processes[J/OL]. Physica Scripta, 2023, 98(10): 105229. https://doi.org/10.1088/1402-4896/acf8a0

    2.WANG J Z, MA S, JI Y, SUN Q. Response to multiplicative noise: The cross-spectrum of membrane voltage fluctuation and voltage-independent conductance noise[J/OL]. Physica A: Statistical Mechanics and its Applications, 2023, 622: 128888. https://doi.org/10.1016/j.physa.2023.128888.

    3.WANG J Z, WANG R Z. Analytical solution of the steady membrane voltage fluctuation caused by a single ion channel[J/OL]. Physical Review E, 2017, 95(5): 052409. https://doi.org/10.1103/PhysRevE.95.052409.

    4.WANG J Z, WANG R Z. Free energy dissipation of the spontaneous gating of a single voltage-gated potassium channel[J/OL]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018, 28(2): 023103. https://doi.org/10.1063/1.5022980.

    5.FAN Y H, WANG J Z. Non-adiabatic membrane voltage fluctuations driven by two ligand-gated ion channels[J/OL]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019, 29(7): 073108. https://doi.org/10.1063/1.5096303.

    6.WANG J Z, FAN Y H. Characterizing the voltage fluctuations driven by a cluster of ligand-gated channels[J/OL]. Physical Review E, 2021, 103(5): 052401. https://doi.org/10.1103/PhysRevE.103.052401.

    7.WANG J Z, MENG Y T. The voltage-depolarization performance vs the free energy cost of a single nACh receptor[J/OL]. Journal of Theoretical Biology, 2021, 531: 110904. https://doi.org/10.1016/j.jtbi.2021.110904.

    8.WANG J Z, MENG Y T. The power spectrum of the membrane voltage driven by a single nACh receptor[J/OL]. Journal of Theoretical Biology, 2021, 509: 110528. https://doi.org/10.1016/j.jtbi.2020.110528.

    9.WANG J Z, SHEN Z J. Mechanisms of the end-plate potential noise and its implication for the neuromuscular junction anatomy[J/OL]. Journal of Theoretical Biology, 2022, 540: 111089. https://doi.org/10.1016/j.jtbi.2022.111089.


    复杂网络传播动力学:

    1.WANG J, LIU Z. Mean-field level analysis of epidemics in directed networks[J/OL]. Journal of Physics A: Mathematical and Theoretical, 2009, 42(35): 355001. https://doi.org/10.1088/1751-8113/42/35/355001.

    2.WANG J Z, FAN Y H. Laws of epidemic dynamics in complex networks[J/OL]. Physica A: Statistical Mechanics and its Applications, 2019, 524: 30-35. https://doi.org/10.1016/j.physa.2019.03.019.

    3.WANG J Z, MO L P, LIANG D F, 等. Intrinsic circular motions in stochastic pairwise epidemic models[J/OL]. Physica A: Statistical Mechanics and its Applications, 2014, 395: 209-217. https://doi.org/10.1016/j.physa.2013.10.010.

    4.WANG J Z, PENG W H. Fluctuations for the outbreak prevalence of the SIR epidemics in complex networks[J/OL]. Physica A: Statistical Mechanics and its Applications, 2020, 548: 123848. https://doi.org/10.1016/j.physa.2019.123848.

    5.WANG J zeng, LIU Z rong, XU J. Epidemic spreading on uncorrelated heterogenous networks with non-uniform transmission[J/OL]. Physica A: Statistical Mechanics and its Applications, 2007, 382(2): 715-721. https://doi.org/10.1016/j.physa.2007.04.034.

    6.JIAZENG W. Dual Effects of Heterogeneous Infrastructure on SIR Epidemics: Threshold and Outbreak Size[J]. 20.

    7.WANG J Z, QIAN M. Discrete Stochastic Modeling for Epidemics in Networks[J/OL]. Journal of Statistical Physics, 2010, 140(6): 1157-1166. https://doi.org/10.1007/s10955-010-0034-5.

    8.WU B, MAO S, WANG J, 等. Control of epidemics via social partnership adjustment[J/OL]. Physical Review E, 2016, 94(6): 062314. https://doi.org/10.1103/PhysRevE.94.062314.

    9.WANG J Z, QIAN M, QIAN H. Circular stochastic fluctuations in SIS epidemics with heterogeneous contacts among sub-populations[J/OL]. Theoretical Population Biology, 2012, 81(3): 223-231. https://doi.org/10.1016/j.tpb.2012.01.002.

    10.王家赠, 薛晓峰, 网络上SIR型传播的随机建模与极限定理, 应用数学学报, Vol. 35 No. 4, 663-676. July, 2012


    Josephson结非线性动力学领域:

    1.QIAN M, WANG J Z. Transitions in two sinusoidally coupled Josephson junction rotators[J/OL]. Annals of Physics, 2008, 323(8): 1956-1962. https://doi.org/10.1016/j.aop.2008.04.002.

    2.WANG J, ZHANG X, YOU G, 等. Transition behaviours in two coupled Josephson junction equations[J/OL]. Journal of Physics A: Mathematical and Theoretical, 2007, 40(14): 3775-3784. https://doi.org/10.1088/1751-8113/40/14/003.

    3QIAN M, WANG J Z, ZHANG X J. Resonant regions of Josephson junction equation in case of large damping[J/OL]. Physics Letters A, 2008, 372(20): 3640-3644. https://doi.org/10.1016/j.physleta.2008.02.029.