Classification of Math Publications

       A. Publications in algebra (coalgebra & nonassociative algebra)

  1. Jianjun Paul Tian: Evolution Algebras and Their Applications (research monograph), Lecture Notes in Mathematics of Springer, vol.1921, Springer-Verlag Heidelberg, 2008. PDE

    Research on or related to evolution algebras and coalegars
     
  2. Jianjun Tian and Bai-Lian Li: Coalgebraic structure of genetic inheritance, Mathematical Biosciences and Engineering, Vol. 1 (2004), no. 2, pp. 243 - 266. PDF
  3. Jianjun Paul Tian and Petr Vojtechovsky: Mathematical concepts of evolution algebras in non-Mendelian genetics, Quasigroups and related systems, Vol. 14 (2006), no. 1, pp. 111 - 122. PDF
  4. Jianjun Paul Tian: Algebraic model for non-Mendelian genetics, Discrete and Continuous Dynamical Systems - S, Vol. 4 (2010), Issue 6, pp. 1577 - 1586. PDF
  5. U. Rozikov and Jianjun Paul Tian: Evolution algebras generated by Gibbs measure, Lobachevskii Journal of Mathematics, Vol. 32 (2011), no. 4, pp. 270 - 277. PDF
  6. Jianjun Paul Tian and Yi Ming Zou: Finitely generated nil but not nilpotent evolution algebras, Linear algebra and its applications, Vol. 13(2014), Issue 01, 10 pages. PDF

  7. Jianjun Paul Tian: an invited article to Contemporary Mathematics of AMS --- Invitation to Research of New Mathematics from Biology:  Evolution Algebras, accepted in March 12, 2015. PDF

    Preprints in algebra
     

  8. Jianjun Paul Tian: A brief introduction to evolution algebras, 11 pages, preprint.

     B. Publications in low-dimensional topology & knot theory
     

  9. Jianjun Paul Tian, Murray Bremner, Reinhard Laubenbacher, and Banghe Li: Newly Developed Applied Mathematics and New Mathematics Arising from Biosciences, (edited journal issue) DCDS, AIMS, 2010. PDF

  10. Jianjun Paul Tian: On several types of universal invariants of framed links and 3-manifolds derived from Hopf algebras, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 142 (2007), no. 01, pp. 73 - 92. PDF

  11. Jianjun Paul Tian: On a type of 3-manifold invariants arising from finite-dimensional Hopf algebras, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, Vol. 23 (2007), No. 2, pp. 177 - 189. PDF

  12. Stephen Bigelow, and Jianjun Paul Tian: Generalized Long-Moody representations of braid groups, Communications in Contemporary Mathematics, Vol. 10 (2008), suppl. 1, pp 1093 - 1102. PDF

    Preprints in algebraic topology
     

  13. Jianjun Paul Tian: On integrals of quantum supergroup, 22 pages, preprint.
  14. Jianjun Paul Tian: Spin representations of Artin's group, 29 pages, preprint. This preprint also has citations by Google Scholar.

     C. Publications in Stochastic processes
     
  15. Jianjun Tian and Xiao-Song Lin: Colored Coalescent Theory, Discrete and Continuous Dynamical Systems, Aug. issue, 2005, pp. 833 - 845. PDF
  16. Jianjun Paul Tian and Dan Kannan: Lumpability and commutativity of Markov processes, Stochastic Analysis and Applications, Vol. 24 (2006), no. 3, pp. 685 - 702. PDF
  17. Jianjun Paul Tian and Xiao-Song Lin: Continuous-time Markov processes on graphs, Stochastic Analysis and Applications, Vol. 24, no. 5 (2006), pp. 953 - 972. PDF
  18. Jianjun Paul Tian and Zhenqiu Liu: Coalescent Random Walks on graphs, Journal of Computational and Applied Mathematics, Vol. 202 (2007), no. 01, pp. 144-154. PDF
  19. Jianjun Paul Tian and Xiao-Song Lin: Mutation process in colored coalescent theory, Bulletin of Mathematical Biology, Vol. 71 (2009), no. 8, pp. 1873 - 1889. PDF

    D. Publications in statistics
     
  20. Zhenqiu Liu, Decheng Chen and Jianjun Paul Tian: Classification of proteomic data with logistic kernel partial least square algorithm, Proceedings of IEEE, CVPR'05, Vol. 3 (2005), pp. 145 - 150. PDF
  21. Zhenqiu Liu, Decheng Chen and Jianjun Paul Tian: Classification of proteomic data with multiclass logistic partial least square algorithm, International Journal of Bioinformatics Research and Applications, Vol. 4 (2008), Issue 1, pp. 1 - 10. PDF

    F. Publications in PDEs and ODEs
     
  22. Avner Friedman, Jianjun Paul Tian, G. Fulci, E. Antonio Chiocca and Jin Wang: Glioma virotherapy: the effects of innate immune suppression and increased viral replication capacity, Cancer Research, 66 (2006), pp. 2314 - 319. PDF
  23. Jin Wang and Jianjun Paul Tian: Numerical study for a model of tumor virotherapy, Applied Mathematics and Computation, Vol. 196 (2008), Issue. 1, pp. 448 - 457. PDF
  24. Jianjun Paul Tian, Avner Friedman, Jin Wang, and E. Antonio Chiocca: Modeling the Effects of Resection, Radiation and Chemotherapy in Glioblastoma, Journal of Neuro-Oncology, Vol. 91 (2009), no. 3, pp. 287 - 293. PDF
  25. Jianjun Paul Tian: Finite-time perturbations of dynamical systems and applications to tumor therapy, Discrete and Continuous Dynamical Systems - B, Vol. 12 (2009), no. 2, pp. 469 - 479. PDF
  26. Jianjun Paul Tian, Kendall Stone and Thomas John Wallin: A simplified mathematical model of solid tumor regrowth with therapies, Discrete and Continuous Dynamical Systems, supplement 2009, pp. 771 - 779. PDF
  27. Shu Liao, Jin Wang and Jianjun Paul Tian: On a computational study of avian influenza, Discrete and Continuous Dynamical Systems - S, Vol. 4(2010), Issue 6, pp. 1499 - 1509. PDF
  28. Daniel Vasiliu and Jianjun Paul Tian: Periodic solutions of a model for tumor virotherapy, Discrete and Continuous Dynamical Systems - S, Vol. 4(2010), Issue 6, pp. 1587 - 1597. PDF
  29. Jianjun Paul Tian: The replicability of oncolytic virus: defining conditions on tumor virotherapy, Mathematical Biosciences an Engineering, Vol. 8 (2011), no. 3, pp. 841 - 860. PDF
  30. Jianjun Paul Tian and Jin Wang: Global stability for cholera epidemic models, Mathematical Biosciences, Vol. 232 (2011), no. 1, pp. 31 - 41. PDF
  31. Jianjun Paul Tian, Zhigang Jin and Ting Xie: Mathematical model for two germline stem cells competing for niche occupancy, Bulletin of Mathematical Biology, Vol. 74 (2012), Issue 5, pp. 2107 - 2125. PDF
  32. Jianjun Paul Tian, Yang Kuang and Hanchun Yang: Intracellular viral life-cycle induced rich dynamics in tumor virotherapy, accepted by The Canadian Applied Mathematics Quarterly, 2012. PDF
  33. Dian Yang, Jianjun Paul Tian and Jin Wang: A solvable hyperbolic free boundary problem modeling tumor regrowth, Applicable Analysis, online first 2012. PDF
  34. Yiheng Pang, Jianjun Paul Tian and Hanchun Yang: Two-dimensional Reimann problem for a hyperbolic system of conservation laws in three pieces, Applied Mathematics and Computation, Vol. 219 (2012), Issue 4, pp. 1695 - 1711. PDF
  35. Yujie Wang, Jianjun Paul Tian and Junjie Wei: Lytic cycle: a defining process in oncolytic virotherapy, Applied Mathematical Modelling, Vol. 37(2013), pp. 5962-5978.  PDF
  36. Jianjun Paul Tian, Shu Liao and Jin Wang: Dynamical analysis and control strategies in modeling cholera, accepted by Discrete an Continuous dynamical Systems S, Oct 2013. PDF
  37. Yiheng Pang, Jianjun Paul Tian and Hanchun Yang: Two-dimensional Reimann problem involving three J's for a hyperbolic system of nonlinear conservation laws, Applied Mathematics and Computation, Vol. 219(2013), Issue 9, pp. 4614-4624. PDF
  38. Jianjun Paul Tian and Jin Wang: Some results in Floquet theory, with application to periodic epidemic models, accepted by Applicable Analysis, August, 2014. PDF
  39. Jianjun Paul Tian, Junping Shi, and Jingan Cui: A complexity emerging from disease ecology: high pathogenicity avian influenza virus emerging from outbreaks with low pathogenicity avian influenza virus, accepted by Dynamics of Continuous, Discrete, and Impulsive System - Series B, August, 2015
  40. Jiantao Zhao, Jianjun Paul Tian, and Junjie Wei: Minimal model of plankton systems revisited with spatial diffusion and maturation delay, accepted by Bulletin of Mathematical Biology, Febuary, 2016.
  41. Asim Timalsina, Jianjun Paul Tian, Jin Wang:  Mathematical and computational modeling for tumor virotherapy with mediated immunity, accepted by Bulletin of Mathematical Biology, May, 2017
  42. Tuan Anh Phan and Jianjun Paul Tian:  The role of the innate immune system in oncolytic virotherapy, accepted by Computational and Mathematical Methods in Medicine, 2017
  43. Jiantao Zhang and Jianjun Paul Tian:  Spatial model for oncolytic virotherapy with lytic cycle delay, accepted by the Bulletin of Mathematical Biology, Jan 2019
  44. Yuxiao Guo, Ben Niu and Jianjun Paul Tian:  Backward Hopf bifurcation in mathematical model for oncolytic virotherapy with the infection delay and innate immune effects, accepted by Journal of Biological Dynamics, Aug 2019.
  45. Xianyi Zeng, M. Saleh, and Jianjun Paul Tian:  On finite volume discretization of infiltration dynamics in tumor growth models, accepted by Advances in Computational Mathematics, Sept 2019
  46. Ben Niu, Xianyi Zeng, Tuan Phan, Frank Szulzewsky, Sarah Holte, Eric Holland, Jianjun Paul Tian:  Mathematical modeling of PDGF-driven glioma reveals the infiltrating dynamics of immune cells into tumors, accepted by Neoplasia, May 2020.
  47. Jinlong Lv, Songbai Guo, Jing-An Cui, and Jianjun Paul Tian: Asymptomatic transmission shifts epidemic dynamics, accepted by Mathematical Biosciences and Engineering, Nov 2020.
  48. Hua Zhang, Jianjun Paul Tian, Ben Niu, and Xiaoyu Guo: Mathematical modeling of tumor surface growth with necrotic kernels, accepted by Mathematical Methods in Applied Sciences, May, 2021.
  49. Jiantao Zhang, Xin Wei, and Jianjun Paul Tian:  Modeling of tumor radiotherapy with damage and repair processes, accepted by The European Physical Journal Plus, March, 2022. PDF, site
  50. Heather Curtsinger, Xianyi Zeng, Mary Ballyk, Tuan Anh Phan, Ben Niu, Mee Bartee, Jianjun Paul Tian, Eric Bartee: High levels of extracellular potassium can delay myxoma virus replication by preventing release of virions from the endosomes, accepted by Journal of Virology, November, 2022.


     G. Publications in stochastic differential equations
     
  51. Yadong Shang, Jianjun Paul Tian, and Bixiang Wang:  Asymptotic behavior of the stochastic Keller-Segel equations, accepted by Discrete and Continuous Dynamics B, Feb 2018
  52. Ziwei Ma, Ben Niu, Tuan Anh Phan, Anne Line Stensjen, Chibawanye Ene, Tonghui Wang, Philip Maini, Eric Holland, and Jianjun Paul Tian:  Stochastic growth pattern of untreated human glioblastomas predicts the survival time for patients, accepted by Scientific Reports, March 2020.
  53. Tuan Anh Phan, Jianjun Paul Tian, and Bixiang Wang:  Dynamics of cholera epidemic models in fluctuating environments, accepted by Stochastics and Dynamics, April 2020.
  54. Tuan Anh Phan and Jianjun Paul Tian:  Basic stochastic dynamical model for oncolytic virotherapy, accwpted by Mathematical Biosciences and Engineering, June 2020.
  55. Tuan Anh Phan, Hai-Dang Nguyen, and Jianjun Paul Tian:  deterministic and stochastic modeling for PDGF-driven gliomas reveals a classification of gliomas, accepted by Journal of Mathematical Biology, August 2021.
  56. Tuan Anh Phan and Jianjun Paul Tian:  Analysis of a new stochastic Gompertz diffusion model for untreated human glioblastomas, accepted by Stochastics and Dynamics, December 2021.
  57. Tuan Anh Phan and Jianjun Paul Tian:  Bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, accepted by Journal of Mathematical Analysis and Applications, April, 2022. PDF, site

    H. Submitted Papers, or Work in Preparation (available upon request)
     
  58. Tuan Anh and Jianjun Paul Tian:  Stochastic modeling for oncolytic viral therapy with innate immune response, in preparation.
  59. Ziwei Ma, Tuan Anh Phan, Benjamin Ellingson, and Jianjun Paul Tian:  Study of untreated human glioma growth based on data from Los Angeles, in preparation.
  60. Ben Niu, Xianyi Zeng, Eric Holland, Philip Maini, and Jianjun Paul Tian:  Mathematical model for osteopontin dynamics in solid tumor growth, in preparation.

 

          Preprints

  1. Youshan Tao and Jianjun Paul Tian: Mathematical Oncology (monograph), 225 pages (under review)
  2. Jianjun Paul Tian, Philip Maini and Angelique Bordey: Control of neural stem cell lineage progression in the adult mammalian brain:  insights from mathematical models, 30 pages, preprint.
  3. Carolyn Ayers, Jianjun Paul Tian and Randy Chambers: A matrix model of potential human impacts on diamondback terrapi populations, 25 pages, preprint.
  4. Daniel Hariprasad, Junping Shi, Jianjun Paul Tian, and Meagan Herald: Three pool model for calcium signaling, preprint.
  5. Jianjun Paul Tian: A brief introduction to evolution algebras, 11 pages, preprint.
  6. Jianjun Paul Tian: On integrals of quantum supergroup, 22 pages, preprint.
  7. Jianjun Paul Tian: Spin representations of Artin's group, 29 pages, preprint. This preprint also has several citations by Google Scholar.


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