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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
ISSN/eISSN1531-3492
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
DOI10.3934/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
被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
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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