作者机构：
[Wang, Wuzhou; He, Shuya; Shen, Wangtao; Qi, Huizhou; Ma, Yun] Univ South China, Inst Biochem & Mol Biol, Hengyang Med Coll, Hengyang 421001, Peoples R China.;[Qi, Huizhou] Univ South China, Hengyang Med Coll, Funct Lab Ctr, Hengyang 421001, Peoples R China.;[Wang, Wuzhou; He, Shuya; Qi, Huizhou; Xiao, Fangzhu] Univ South China, Hengyang Key Lab Biol Effects Nucl Radiat, Hengyang 421001, Peoples R China.;[Zhu, Hui] Univ South China, Inst Engn Math, Math & Phys Coll, Hengyang 421001, Peoples R China.;[He, Junyan] Univ South China, Affiliated Hosp 1, Dept Radiat Oncol, Hengyang 421001, Peoples R China.
通讯机构：
[Ma, Yun] I;[He, Shuya] H;Institute of Biochemistry and Molecular Biology, Hengyang Medical College, University of South China, Hengyang, 421001, China. Electronic address:;Hengyang Key Laboratory for Biological Effects of Nuclear Radiation, University of South China, Hengyang, 421001, China. Electronic address:
关键词：
DNA double-strand break;DSB reaction intermediate;Kinetics of DSB repair;Mathematical model
摘要：
This manuscript outlines the kinetics of two main repair pathways of DNA double-strand break (DSB) in eukaryotes: non-homologous end joining (NHEJ) and homologous recombination repair (HRR). In this review, we discuss the precise study of recruitment kinetics of repair proteins based on the latest technologies in the past two decades. Then we simulate the theoretical description of the DNA repair process by mathematical models. In our study, the consecutive reactions chain (CRC) model and continuous-time random walk (CTRW) model have been unified by us, so that we can obtain the function of the number of intermediates with time in the same framework of equations, overcome the incompatibility between the two models. On this basis, we propose a data fitting workflow using these both models. Finally, we give an overview of different real-time quantitative methods and the new mechanism complexity that can be found from the corresponding dynamic models.
摘要：
A periodic pulse differential equation model of tumor immunotherapy is established by considering the periodic and transient behavior of infusing immune cells. Using comparison theorem and Floquet multiplier theory of the impulsive differential equation, the boundedness of the model solution, the existence and stability of the free-tumor periodic solution are given. Furthermore, the persistence of the system is analyzed. Numerical simulations are carried to confirm the main theorems.
摘要：
<jats:p> In this paper, a reaction–diffusion model describing temporal development of tumor tissue, normal tissue and excess H<jats:sup>+</jats:sup> ion concentration is considered. Based on a combination of perturbation methods, the Fredholm theory and Banach fixed point theorem, we theoretically justify the existence of the traveling wave solution for this model. </jats:p>
期刊：
The Journal of Information and Computational Science,2012年9(13):3707-3714 ISSN：1548-7741
通讯作者：
Zou, Q.(qzoucs@gmail.com)
作者机构：
[Zou, Qiang] School of Computer, Southwest University, Chongqing 400715, China;[Zhu, Hui] School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China
通讯机构：
School of Computer, Southwest University, China
作者机构：
[Zhu, Huiyan] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Ou, Chunhua] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
通讯机构：
[Ou, Chunhua] M;Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
