
Published Books and Monographs:

Jianjun Paul Tian: Evolution Algebras and Their Applications
(research monograph), Lecture Notes in Mathematics of Springer, vol.1921, SpringerVerlag Heidelberg, 2008.
PDE
Research on or related to
evolution algebras and coalegars

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.
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Published or Accepted Papers:

Jianjun Tian and BaiLian Li: Coalgebraic structure of genetic
inheritance, Mathematical Biosciences and Engineering, Vol. 1
(2004), no. 2, pp. 243  266.
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Jianjun Tian and XiaoSong Lin: Colored Coalescent Theory, Discrete
and Continuous Dynamical Systems, Aug. issue, 2005, pp. 833  845.
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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.
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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.
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Jianjun Paul Tian and Petr Vojtechovsky: Mathematical concepts of
evolution algebras in nonMendelian genetics, Quasigroups and related systems, Vol. 14 (2006), no. 1, pp. 111  122.
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Jianjun Paul Tian and Dan Kannan: Lumpability and commutativity of
Markov processes, Stochastic Analysis and Applications, Vol. 24
(2006), no. 3, pp. 685  702.
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Jianjun Paul Tian and XiaoSong Lin: Continuoustime Markov
processes on graphs, Stochastic Analysis and Applications, Vol. 24,
no. 5 (2006), pp. 953  972.
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Jianjun Paul Tian and Zhenqiu Liu: Coalescent Random Walks on
graphs, Journal of Computational and Applied Mathematics, Vol. 202
(2007), no. 01, pp. 144154.
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Jianjun Paul Tian: On a type of 3manifold invariants arising from
finitedimensional Hopf algebras, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, Vol. 23 (2007), No. 2, pp. 177  189.
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Jianjun Paul Tian: On several types of universal invariants of
framed links and 3manifolds derived from Hopf algebras,
Mathematical Proceedings of the Cambridge Philosophical Society,
Vol. 142 (2007), no. 01, pp. 73  92.
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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
 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

Stephen Bigelow, and Jianjun Paul Tian: Generalized LongMoody
representations of braid groups, Communications in Contemporary
Mathematics, Vol. 10 (2008), suppl. 1, pp 1093  1102.
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Jianjun Paul Tian, Avner Friedman, Jin Wang, and E. Antonio Chiocca:
Modeling the Effects of Resection, Radiation and Chemotherapy in
Glioblastoma, Journal of NeuroOncology, Vol. 91 (2009), no. 3, pp.
287  293. PDF

Jianjun Paul Tian: Finitetime perturbations of dynamical systems
and applications to tumor therapy, Discrete and Continuous Dynamical
Systems  B, Vol. 12 (2009), no. 2, pp. 469  479.
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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.
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Jianjun Paul Tian and XiaoSong Lin: Mutation process in colored
coalescent theory, Bulletin of Mathematical Biology, Vol. 71 (2009),
no. 8, pp. 1873  1889.
PDF
 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.
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Jianjun Paul Tian: Algebraic model for nonMendelian genetics,
Discrete and Continuous Dynamical Systems  S, Vol. 4 (2010), Issue
6, pp. 1577  1586.
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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
 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

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.
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Jianjun Paul Tian and Jin Wang: Global stability for cholera
epidemic models, Mathematical Biosciences, Vol. 232 (2011), no. 1,
pp. 31  41. PDF

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.
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Jianjun Paul Tian, Yang Kuang and Hanchun Yang: Intracellular viral
lifecycle induced rich dynamics in tumor virotherapy, accepted by
The Canadian Applied Mathematics Quarterly, 2012.
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 Dian
Yang, Jianjun Paul Tian and Jin Wang: A solvable hyperbolic free
boundary problem modeling tumor regrowth, Applicable Analysis,
online first 2012.
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Yiheng Pang, Jianjun Paul Tian and Hanchun Yang: Twodimensional
Reimann problem for a hyperbolic system of conservation laws in
three pieces, Applied Mathematics and Computation, Vol. 219 (2012),
Issue 4, pp. 1695  1711.
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Yujie Wang, Jianjun Paul Tian and Junjie Wei: Lytic cycle: a
defining process in oncolytic virotherapy, Applied Mathematical
Modelling, Vol. 37(2013), pp. 59625978.
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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.
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Yiheng Pang, Jianjun Paul Tian and Hanchun Yang: Twodimensional
Reimann problem involving three J's for a hyperbolic system of
nonlinear conservation laws, Applied Mathematics and Computation,
Vol. 219(2013), Issue 9, pp. 46144624.
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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.
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Jianjun Paul Tian and Jin Wang: Some results in Floquet theory, with
application to periodic epidemic models, accepted by Applicable
Analysis, August, 2014. PDF

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
 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
 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.
 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
Submitted Monographs,
Papers or Preprints (available upon request)
 Ben Niu, Xianyi Zeng,
Frank Szulzewsky, Sarah Holte, Philip Maini, Eric Holland, Jianjun
Paul Tian, Mathematical modeling of PDGFdriven glioma reveals the
infiltrating dynamics of immune cells into tumors, 21 pages,
submitted.
 Tuan Anh Phan, Jianjun
Paul Tian: The role of the innate immune system in oncolytic
virotherapy, 38 pages, submitted.
 Yuxiao Guo, Ben Niu,
Jianjun Paul Tian: Backward Hopf bifurcation in a mathematical model
for oncolytic virotherapy with the viral lytic delay and innate
immune effects, 17 pages, submitted.
 Youshan
Tao and Jianjun Paul Tian: Mathematical Oncology (monograph), 225
pages (under review)
 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.
 Carolyn
Ayers, Jianjun Paul Tian and Randy Chambers: A matrix model of
potential human impacts on diamondback terrapi populations, 25
pages, preprint.
 Daniel
Hariprasad, Junping Shi, Jianjun Paul Tian, and Meagan Herald: Three
pool model for calcium signaling, preprint.
 Jianjun
Paul Tian: A brief introduction to evolution algebras, 11 pages,
preprint.
 Jianjun
Paul Tian: On integrals of quantum supergroup, 22 pages,
preprint.
 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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