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An Asymmetry Fractal Tree Model of the Spatial Heterogeneity of Myocardial Flow
Author(s) -
Li Jiahang,
Huo Yunlong
Publication year - 2018
Publication title -
the faseb journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.709
H-Index - 277
eISSN - 1530-6860
pISSN - 0892-6638
DOI - 10.1096/fasebj.2018.32.1_supplement.lb284
Subject(s) - fractal , asymmetry , fractal analysis , tree (set theory) , spatial heterogeneity , branching (polymer chemistry) , experimental data , statistical physics , mathematics , fractal dimension , physics , statistics , biology , materials science , combinatorics , mathematical analysis , particle physics , ecology , composite material
Objective The blood flow in the myocardium exists obvious spatial heterogeneity, and the spatial heterogeneity has significant fractal features. The objective of this work is to develop an asymmetry fractal tree model based on the branch features calculated from anatomical data to explain the fracture of myocardium flow heterogeneity. Method In this work, we use a developed asymmetry fractal tree model in a previous work to analyze the fractal features of the myocardial flow heterogeneity based on the anatomical data of mice of different ages. In addition, the model predictions are compared with experimental results in mice hearts grouped by ages using nonradioactive fluorescent microsphere measurements. Results The results from the experimental measurements show good agreement with the prediction from our model. The fractal dimensions (D) of the myocardium heterogeneity in our model and the experimental measurement are 1.22 and 1.25, respectively. Conclusions This validated asymmetry fractal tree model will implement a persuasive elucidation of the fractal nature of myocardium heterogeneity, and give a theoretical view for the understanding of the interaction between branching features and coronary hemodynamics. Support or Funding Information This research is supported in part by the National Natural Science Foundation of China Grant 11372010, 11672006 (Y Huo); Shenzhen Science and Technology Innovation Institution (China) Grant JCYJ20160427170536358 (Y Huo). This abstract is from the Experimental Biology 2018 Meeting. There is no full text article associated with this abstract published in The FASEB Journal .