The Quantitative Relationship among the Number of the Pacing Cells Required, the Dimension, and the Diffusion Coefficient
Joint Authors
Yin, Guisheng
Zhang, Yue
Wang, Kuanquan
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The purpose of the paper is to derive a formula to describe the quantitative relationship among the number of the pacing cells required (NPR), the dimension i, and the diffusion coefficient D (electrical coupling or gap junction G).
The relationship between NPR and G has been investigated in different dimensions, respectively.
That is, for each fixed i, there is a formula to describe the relationship between NPR and G; and three formulas are required for the three dimensions.
However, there is not a universal expression to describe the relationship among NPR, G, and i together.
In the manuscript, surveying and investigating the basic law among the existed data, we speculate the preliminary formula of the relationship among the NPR, i, and G; and then, employing the cftool in MATLAB, the explicit formulas are derived for different cases.
In addition, the goodness of fit (R2) is computed to evaluate the fitting of the formulas.
Moreover, the 1D and 2D ventricular tissue models containing biological pacemakers are developed to derive more data to validate the formula.
The results suggest that the relationship among the NPR, i, and the G (D) could be described by a universal formula, where the NPR scales with the i (the dimension) power of the product of the square root of G (D) and a constant b which is dependent on the strength of the pacing cells and so on.
American Psychological Association (APA)
Zhang, Yue& Yin, Guisheng& Wang, Kuanquan. 2020. The Quantitative Relationship among the Number of the Pacing Cells Required, the Dimension, and the Diffusion Coefficient. BioMed Research International،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1133331
Modern Language Association (MLA)
Zhang, Yue…[et al.]. The Quantitative Relationship among the Number of the Pacing Cells Required, the Dimension, and the Diffusion Coefficient. BioMed Research International No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1133331
American Medical Association (AMA)
Zhang, Yue& Yin, Guisheng& Wang, Kuanquan. The Quantitative Relationship among the Number of the Pacing Cells Required, the Dimension, and the Diffusion Coefficient. BioMed Research International. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1133331
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133331