Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Jianjun Paul Tian"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 18, Iss 1, Pp 92-111 (2021)
Asymptomatic transmission of infectious diseases has been recognized recently in several epidemics or pandemics. There is a great need to incorporate asymptomatic transmissions into traditional modeling of infectious diseases and to study how asympto
Externí odkaz:
https://doaj.org/article/341fb3ae6032477a8579b4277798570d
Autor:
Ben Niu, Xianyi Zeng, Tuan Anh Phan, Frank Szulzewsky, Sarah Holte, Eric C. Holland, Jianjun Paul Tian
Publikováno v:
Neoplasia: An International Journal for Oncology Research, Vol 22, Iss 9, Pp 323-332 (2020)
Background: Tumor-infiltrated immune cells compose a significant component of many cancers. They have been observed to have contradictory impacts on tumors. Although the primary reasons for these observations remain elusive, it is important to unders
Externí odkaz:
https://doaj.org/article/0a7a3726c5dc4685870bd7a9efa2e78c
Autor:
Tuan Anh Phan, Jianjun Paul Tian
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 4, Pp 4271-4294 (2020)
The complexity of oncolytic virotherapy arises from many factors. In this study, we incorporate environmental noise and stochastic effects to our basic deterministic model and propose a stochastic model for viral therapy in terms of Ito stochastic di
Externí odkaz:
https://doaj.org/article/490e922932cf41138c12884c304db981
Publikováno v:
Journal of Biological Dynamics, Vol 13, Iss 1, Pp 733-748 (2019)
In this paper, we consider a system of delay differential equations that models the oncolytic virotherapy on solid tumours with the delay of viral infection in the presence of the innate immune response. We conduct qualitative and numerical analysis,
Externí odkaz:
https://doaj.org/article/b6bbd2cba3dc4c148a92ed68e56828d7
Autor:
Heather D. Curtsinger, Xianyi Zeng, Zaira Mather, Mary Ballyk, Tuan Anh Phan, Ben Niu, Jing Pu, Mee Y. Bartee, Jianjun Paul Tian, Eric Bartee
Publikováno v:
J Virol
Potassium (K(+)) is one of the most abundant cations in the human body. Under normal conditions, the vast majority of K(+) is found within cells, and the extracellular [K(+)] is tightly regulated to within 3.0 to 5.0 mM. However, it has recently been
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4353b7b2f931ec02f99a046d6af9c96d
https://pubmed.ncbi.nlm.nih.gov/36602363
https://pubmed.ncbi.nlm.nih.gov/36602363
Publikováno v:
Stochastics and Dynamics. 22
In this paper, we analyze a new Ito stochastic differential equation model for untreated human glioblastomas. The model was the best fit of the average growth and variance of 94 pairs of a data set. We show the existence and uniqueness of solutions i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::289ff5b9316dcd8757ed2f644b3f23f9
https://doi.org/10.1142/s0219493722500198
https://doi.org/10.1142/s0219493722500198
Autor:
Sarah Holte, Jianjun Paul Tian, Frank Szulzewsky, Xianyi Zeng, Eric C. Holland, Ben Niu, Tuan Anh Phan
Publikováno v:
Neoplasia: An International Journal for Oncology Research, Vol 22, Iss 9, Pp 323-332 (2020)
Neoplasia (New York, N.Y.)
Neoplasia (New York, N.Y.)
Background: Tumor-infiltrated immune cells compose a significant component of many cancers. They have been observed to have contradictory impacts on tumors. Although the primary reasons for these observations remain elusive, it is important to unders
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2021e2b4c96d64bffc23e51a393dd57f
http://www.sciencedirect.com/science/article/pii/S1476558620301226
http://www.sciencedirect.com/science/article/pii/S1476558620301226
Publikováno v:
Discrete Continuous Dyn Syst Ser B
This paper deals with the asymptotic behavior of the solutions of the non-autonomous one-dimensional stochastic Keller-Segel equations defined in a bounded interval with Neumann boundary conditions. We prove the existence and uniqueness of tempered p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a39588b61663978f73cd6b7bd43996e
https://pubmed.ncbi.nlm.nih.gov/35221801
https://pubmed.ncbi.nlm.nih.gov/35221801
Publikováno v:
Advances in Computational Mathematics. 45:3057-3094
We address numerical challenges in solving hyperbolic free boundary problems described by spherically symmetric conservation laws that arise in the modeling of tumor growth due to immune cell infiltrations. In this work, we normalize the radial coord
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3094fb58652f22782cd3a1d78ec136d4
https://doi.org/10.1007/s10444-019-09727-4
https://doi.org/10.1007/s10444-019-09727-4
Autor:
Jianjun Paul Tian, Tuan Phan
Publikováno v:
Journal of Mathematical Analysis and Applications. 515:126444
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9b75b1a832a683b07947572d193511e
https://doi.org/10.1016/j.jmaa.2022.126444
https://doi.org/10.1016/j.jmaa.2022.126444