发表状态 | 已发表Published |
题名 | HOMOGENIZATION THEORY OF ION TRANSPORTATION IN MULTICELLULAR TISSUE |
作者 | |
发表日期 | 2023-11-01 |
发表期刊 | Discrete and Continuous Dynamical Systems - Series B
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ISSN/eISSN | 1531-3492 |
卷号 | 28期号:10页码:5701-5728 |
摘要 | The transport of ions in biological tissues plays a crucial role in studying many biological and pathological problems. Certain multi-cellular structures, such as smooth muscles on vessel walls, can be considered as periodic bi-domain structures consisting of intracellular and extracellular spaces separated by semipermeable membranes. To model these structures, macroscale models are proposed based on an electro-neutral (EN) microscale model with nonlinear interface conditions, using an unfolding operator. The membranes are treated as combinations of capacitors and resistors, while also taking into account the connectivity of the intracellular space. If the intracellular space is fully connected and forms a syncytium, the macroscale model is a bidomain nonlinear coupled partial differential equations system. Otherwise, if the intracellular cells are not connected, the macroscale model for the intracellular space is an ordinary differential system with source/sink terms from the connected extracellular space. The first-order error estimates for these models are achieved with proper regularity assumptions. |
关键词 | Bi-domain model Connectivity Ion transport Unfolding operator |
DOI | 10.3934/dcdsb.2023072 |
URL | 查看来源 |
收录类别 | SCIE |
语种 | 英语English |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000976101500001 |
Scopus入藏号 | 2-s2.0-85163499786 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/10914 |
专题 | 理工科技学院 |
通讯作者 | Xu, Shixin |
作者单位 | 1.School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang,524048,China 2.School of Mathematical Sciences,Soochow University,Suzhou,215006,China 3.Research Center for Mathematics,Advanced Institute of Natural Sciences,Beijing Normal University,Zhuhai,Guangdong,519088,China 4.Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science,BNU-HKBU United International College,Zhuhai,Guangdong,519088,China 5.Department of Mathematics and Statistics,York University,Toronto,M3J 1P3,Canada 6.Zu Chongzhi Center for Mathematics and Computational Sciences (CMCS),Duke Kunshan University,Kunshan,215316,China 7.Global Health Research Center,Duke Kunshan University,Kunshan,215316,China 8.School of Mathematics and Physics,Jinggangshan University,Ji’an,Jiangxi,343009,China |
推荐引用方式 GB/T 7714 | Xiao, Chun,Huang, Huaxiong,Xu, Shixinet al. HOMOGENIZATION THEORY OF ION TRANSPORTATION IN MULTICELLULAR TISSUE[J]. Discrete and Continuous Dynamical Systems - Series B, 2023, 28(10): 5701-5728. |
APA | Xiao, Chun, Huang, Huaxiong, Xu, Shixin, Yu, Tao, & Yue, Xingye. (2023). HOMOGENIZATION THEORY OF ION TRANSPORTATION IN MULTICELLULAR TISSUE. Discrete and Continuous Dynamical Systems - Series B, 28(10), 5701-5728. |
MLA | Xiao, Chun,et al."HOMOGENIZATION THEORY OF ION TRANSPORTATION IN MULTICELLULAR TISSUE". Discrete and Continuous Dynamical Systems - Series B 28.10(2023): 5701-5728. |
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