scholarly journals Application Value of Mathematical Models of Diffusion-Weighted Magnetic Resonance Imaging in Differentiating Breast Cancer Lesions

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Xiaolong Jiang ◽  
Chao Chen ◽  
Jie Liu ◽  
Sheng Liu
Keyword(s):  
Malignant Tumor ◽  
Breast Tumor ◽  
Benign Tumor ◽  
Exponential Model ◽  
Stretched Exponential ◽  
Benign Breast Tumor ◽  
Apparent Diffusion ◽  
Malignant Breast ◽  
Adc Map ◽  
Stretched Exponential Model

Objective. To determine the application value of the mono-exponential model, dual-exponential model, and stretched-exponential model of MRI with diffusion-weighted imaging (DWI) in breast cancer (BC) lesions. Methods. Totally 64 cases with BC admitted to our hospital between June 2019 and October 2020 were enrolled in this study. They had 71 lesions in total, including 40 benign tumor lesions (including 9 breast cyst lesions) and 31 malignant tumor lesions. After DWI examination, with normal glands as control, mono-exponential model (ADC) map, dual-exponential model (Standard-ADC) map, slow apparent diffusion coefficient (Slow-ADC) map, fast-apparent diffusion coefficient (Fast-ADC) map, and stretched-exponential model (DDC) map were processed, and corresponding values were generated. Then, the situation and significance of each parameter in breast cysts, benign breast tumor lesions, and malignant tumor lesions were analyzed. Results. The values of ADC, Standard-ADC, and DDC of breast cysts were higher than those of normal glands (all P < 0.05 ), and the values of ADC and DDC of benign breast tumor lesions were lower than those of normal glands ( P < 0.05 ). In addition, malignant breast tumor lesions had lower values of ADC, Standard-ADC, Slow-ADC, and DDC and a higher Fast-ADC value compared to normal glands (all P < 0.05 ). Compared with benign tumor lesions, malignant tumor lesions had lower values of ADC, Standard-ADC, Slow-ADC, and DDC and a higher value of Fast-ADC (all P < 0.05 ). Moreover, the receiver operating characteristic (ROC) curve-based analysis revealed that all the above models could be adopted to effectively evaluate the deterioration of benign breast tumor lesions (all P < 0.05 ), and DDC value had the most significant diagnostic effect on malignant tumor lesions ( P < 0.05 ). Conclusion. Both dual-exponential model and stretched-exponential model of DWI can help effectively evaluate the progression of benign breast tumors, and the stretched-exponential model is more effective in the diagnosis of malignant breast tumors. These models are of great help to the future clinical diagnosis of BC.

scholarly journals Combination of three-dimensional arterial spin labeling and stretched-exponential model in grading of gliomas

Medicine ◽  
2019 ◽  
Vol 98 (25) ◽  
pp. e16012 ◽  
Author(s):  
Yuan Qu ◽  
Lisui Zhou ◽  
Jie Jiang ◽  
Guangnan Quan ◽  
Xiaocheng Wei
Keyword(s):  
Arterial Spin Labeling ◽  
Three Dimensional ◽  
Spin Labeling ◽  
Exponential Model ◽  
Stretched Exponential ◽  
Stretched Exponential Model

scholarly journals Characterization of continuously distributed cortical water diffusion rates with a stretched-exponential model

2003 ◽  
Vol 50 (4) ◽  
pp. 727-734 ◽  
Author(s):  
Kevin M. Bennett ◽  
Kathleen M. Schmainda ◽  
Raoqiong Bennett (Tong) ◽  
Daniel B. Rowe ◽  
Hanbing Lu ◽  
...  
Keyword(s):  
Exponential Model ◽  
Water Diffusion ◽  
Stretched Exponential ◽  
Diffusion Rates ◽  
Stretched Exponential Model

scholarly journals Stretched Exponential Dynamics in Online Article Views

2021 ◽  
Vol 8 ◽  
Author(s):  
Yeseul Kim ◽  
Byung Mook Weon
Keyword(s):  
Power Law ◽  
Online Community ◽  
Exponential Model ◽  
Time Dependent ◽  
Stretched Exponential ◽  
Popularity Dynamics ◽  
Biexponential Model ◽  
Community Changes ◽  
Insight Into ◽  
Stretched Exponential Model

Article view statistics offers a measure to quantify scientific and public impact of online published articles. Popularity of a paper in online community changes with time. To understand popularity dynamics of article views, we propose a decay dynamics based on a stretched exponential model. We find that a stretched exponent gradually decreases with time after online publication following a power-law scaling. Compared with a simple exponential or biexponential model, a stretched exponential model with a time-dependent exponent well describes long-tailed popularity dynamics of online articles. This result gives a useful insight into how popularity diminishes with time in online community.

scholarly journals Structure and Dynamics of the Breast Tissue Microbiomes Under Tumor Influences: An Approach With Neutral, Near-Neutral, and Niche-Neutral Hybrid Models

2021 ◽  
Vol 12 ◽  
Author(s):  
Lianwei Li ◽  
Ping Ning ◽  
Zhanshan Ma
Keyword(s):  
Malignant Tumor ◽  
Breast Tumor ◽  
Breast Tissue ◽  
Benign Tumor ◽  
Hybrid Models ◽  
Bacterial Cells ◽  
Ecological Processes ◽  
Tissue Samples ◽  
Structure And Dynamics ◽  
Diversity Maintenance

The structure and dynamics of breast tissue bacteria can have far-reaching influences on women’s health, particularly on breast tumor development. However, there is little understanding on the ecological processes that shape the structure and dynamics of breast tissue bacteria. Here, we fill the gap by applying three metacommunity models for investigating the community assembly and diversity maintenance, including Sloan near neutral model, Harris et al. multisite neutral and Tang &amp; Zhou niche-neutral hybrid models to reanalyze the 16S-rRNA sequencing datasets of 23 healthy, 12 benign tumor, and 33 malignant tumor tissue samples. First, we found that, at the community/metacommunity levels, the mechanisms of bacteria assembly and diversity maintenance of breast tissue bacteria were moderately influenced by stochastic drifts of bacteria demography (division, death, and dispersal of bacterial cells). At species level, on average, approximately 10 and 5% species were above (positively selected) and below (negatively selected) neutral, respectively. Furthermore, malignant tumor may raise the positively selected species up to 17%. Second, malignant tumor appears to inhibit microbial dispersal as evidenced by lowered migration rates, compared with the migration in normal and benign tumor tissues. These theoretic findings can be inspirational for further investigating the relationships between tissue bacteria and breast tumor progression/development.

The Modified Stretched-Exponential Model for Characterization of NMR Relaxation in Porous Media

1996 ◽  
Vol 118 (2) ◽  
pp. 214-220 ◽  
Author(s):  
Mark Peyron ◽  
Gregory K. Pierens ◽  
Alun J. Lucas ◽  
Laurance D. Hall ◽  
Robert C. Stewart
Keyword(s):  
Porous Media ◽  
Nmr Relaxation ◽  
Exponential Model ◽  
Stretched Exponential ◽  
Stretched Exponential Model
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