International Workshop on Applications of Probability and Statistics to Biology, July 11--13, 2019 ––In Honor of Professor Minping Qian’s 80th Birthday

References

[1] Qian, M. P., and Gong, G. L. (1997) Theory of Stochastic Processes. Peking University Press, (In Chinese)

[2] Gong, G. L. and Qian, M. P. (2004) Applied Stochastic Processes. Tsinghua University Press, (In Chinese)

[3] Jiang, D. Q., Qian, M. and Qian, M. P. (2004) Mathematical Theory of Nonequilibrium Steady States. Springer

[4] Feng, J. F., Jost, J. and Qian, M. P. (2007) Networks: from Biology to Theory. Springer

[5] Feng, J. F., Fu, W. J. and Sun, F. Z. (2010) Frontiers in Computational and Systems Biology. Springer

[6] Qian, M. P. and Qian, M. (1982) Circulation for recurrent Markov chains. Probab. Theory Relat. Fields, 59, 203–210

[7] Gong, G. L. and Qian, M. P. (1998) The symmetry of diffusions and the circulations of their projection processes. Sci. China Ser. A Math., 41, 1017–1022

[8] Qian, M. P., Qian, M. and Gong, G. L. (1991) The reversibility and the entropy production of Markov processes. Contemp. Math., 118, 255–261

[9] Gong, G. L. and Qian, M. P. (1997) Entropy production of stationary diffusions on non-compact Riemannian manifolds. Sci. China Ser. A Math., 40, 926–931

[10] Chen, Y., Chen, X. and Qian, M. P. (2006) The Green-Kubo Formula, autocorrelation function and fluctuation spectrum for finite Markov chains with continuous time. J. Phys. Math. Gen., 39, 2539–2550

[11] Qian, M. P. and Jiang, D. Q. (2017) Non-equilibrium stochastic dynamics. Scientia Sinica Mathematica, 47, 1703–1716

[12] Chen, D. Y., Feng, J. F. and Qian, M. P. (1996) Metastability of exponentially perturbed Markov chains. Sci. China Ser. A Math., 39, 7–28

[13] Chen, D. Y., Feng, J. F. and Qian, M. P. (1997) The metastable behavior of the three-dimensional stochastic Ising model I. Sci. China Ser. A Math., 40, 832–842

[14] Li, Y. L. and Qian, M. P. (1998) Hierarchical structure of attractors of dynamical systems. Sci. China Ser. A Math., 41, 1128–1134

[15] Deng, Y. C., Peng, S. L., Qian, M. P. and Feng, J. F. (2003) Identification transition rates of ionic channels via observations at a single state. J. of Physiscs A: Math & General, 36, 1195–1212

[16] Qian, M., Qian, M. P. and Zhang, X. J. (2003) Fundamental facts concerning reversible master equation. Phys. Lett . A 309, 371–376

[17] Zhang, Y. P., Qian, M. P., Ouyang, Q., Deng, M. H., Li, F. T. and Tang, C. (2006) Stochastic model of yeast cell cycle network. Physica. D, 219, 35–39

[18] Jia, C., Liu, X. F., Qian, M. P., Jiang, D. Q. and Zhang, Y. P. (2012) Kinetic behavior of the general modifier mechanism of Botts and Morales with non-equilibrium binding. J. Theor. Biol., 296, 13–20

[19] Zhou, D., Wu, D. M., Li, Z., Qian, M. P. and Zhang, M. Q. (2013) Population dynamics of cancer cells with cell-state conversions. Quant. Biol., 1, 201–208

[20] Jia, C., Jiang, D. Q. and Qian, M. P. (2014) An allosteric model of the inositol trisphosphate receptor with nonequilibrium binding. Phys. Biol., 11, 056001

[21] Jia, C., Qian, M. P. and Jiang, D. Q. (2014) Overshoot in biological systems modelled by Markov chains: a non-equilibrium dynamic phenomenon. IET Syst. Biol., 8, 1–8

[22] Jia, C., Qian, M. P., Kang, Y. and Jiang, D. Q. (2014) Modeling stochastic phenotype switching and bet-hedging in bacteria: stochastic nonlinear dynamics and critical state identification. Quant. Biol., 2, 110–125

[23] Liang, Z. Y., Li, G., Wang, Z., Djekidel, M. N., Li, Y., Qian, M.-P., Zhang, M. Q. and Chen, Y. (2017) BL-Hi-C is an efficient and sensitive approach for capturing structural and regulatory chromatin interactions. Nat. Commun., 8, 1622

[24] Qian, M. P., Gong, G. L. and Clark, J. W. (1991) Relative entropy and learning rules. Phys. Rev. A, 43, 1061–1070

[25] Albeverio, S., Feng, J. F. and Qian, M. P. (1995) Role of noises in neural networks. Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics, 52, 6593–6606

[26] Fang, H. T., Gong, G. L. and Qian, M. P. (1997) Annealing of iterative stochastic schemes. SIAM J. Contr. Optim., 35, 1886–1907

[27] Fang, H. T., Qian, M. P. and Gong, G. L. (1997) An improved annealing method and its large Time Behavior. Stochastic Processes and Their Appl., 71, 55–74

[28] Gong, G. L., Liu, Y. and Qian, M. P. (2001) An adaptive simulated annealing algorithm. Stochastic Process. Appl., 94, 95–103

[29] Gong, G. L., Qian, M. P. and Xie, J. (2001) Reversible algorithm of simulating multivariate densities with multi-hump. Sci. China Ser. A Math., 44, 357–364

[30] Xu, M. X., Han, W., Qian, M., Ma, X., Ding, P., Wang, Y., Xia, D., Rui, M., Wang, L., Zhang, Y., (2004) Last intron of the chemokine like factor gene contains a putative promoter for the downstream CKLF super family member 1 gene. Biochem. Biophys. Res. Commun., 313, 135–141

[31] Yan, X., Deng, M., Fung, W. K. and Qian, M. (2005) Detecting differentially expressed genes by relative entropy. J. Theor. Biol., 234, 395–402

[32] Duan, S. J., Wan, L., Fu, W. J., Pan, H., Ding, Q., Chen, C., Han, P., Zhu, X., Du, L., Liu, H., (2009) Nonlinear cooperation of p53-ING1-induced bax expression and protein S-nitrosylation in GSNO-induced thymocyte apoptosis: a quantitative approach with cross-platform validation. Apoptosis, 14, 236–245

[33] Wan, L., Li, D., Zhang, D., Liu, X., Fu, W. J., Zhu, L., Deng, M., Sun, F. and Qian, M. (2008) Conservation and implications of eukaryote transcriptional regulatory regions across multiple species. BMC Genomics, 9, 623

[34] Wan, L., Sun, K., Ding, Q., Cui, Y., Li, M., Wen, Y., Elston, R. C., Qian, M. and Fu, W. J. (2009) Hybridization modeling of oligonucleotide SNP arrays for accurate DNA copy number estimation. Nucleic Acids Res., 37, e117

[35] Wang, Q., Peng, P. C., Qian, M. P., Wan, L. and Deng, M. H. (2012) Hybridization and amplification rate correction for affymetrix SNP arrays. BMC Med. Genomics, 5, 24

[36] Wang, F. G., Chen, R., Ji, D., Bai, S. N., Qian, M. P. and Deng, M. H. (2013) Adjustment method for microarray data generated using two-cycle RNA labeling protocol. BMC Genomics, 14, 31

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