Aim: The purpose of this study was to develop a mathematical model to quantitatively describe the passive transport of macromolecules within dental biofilms.
Methodology: Fluorescently labeled dextrans with different molecular mass (3 kD, 10 kD, 40 kD, 70 kD, 2000 kD) were used as a series of diffusion probes. Streptococcus mutans, Streptococcus sanguinis, Actinomyces naeslundii and Fusobacterium nucleatum were used as inocula for biofilm formation. The diffusion processes of different probes through the in vitro biofilm were recorded with a confocal laser microscope.
Results: Mathematical function of biofilm penetration was constructed on the basis of the inverse problem method. Based on this function, not only the relationship between average concentration of steady-state and molecule weights can be analyzed, but also that between penetrative time and molecule weights.
Conclusion: This can be used to predict the effective concentration and the penetrative time of anti-biofilm medicines that can diffuse through oral biofilm. Furthermore, an improved model for large molecule is proposed by considering the exchange time at the upper boundary of the dental biofilm.
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http://dx.doi.org/10.4248/IJOS10075 | DOI Listing |
J Imaging Inform Med
January 2025
Department of Radiation Oncology, Henry Ford Health, Detroit, MI, USA.
Automatic segmentation of angiographic structures can aid in assessing vascular disease. While recent deep learning models promise automation, they lack validation on interventional angiographic data. This study investigates the feasibility of angiographic segmentation using in-context learning with the UniverSeg model, which is a cross-learning segmentation model that lacks inherent angiographic training.
View Article and Find Full Text PDFChaos
January 2025
College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China.
Under investigation in this paper is the integrable and non-integrable fractional discrete modified Korteweg-de Vries hierarchies. The linear dispersion relations, completeness relations, inverse scattering transform, and fractional soliton solutions of the integrable fractional discrete modified Korteweg-de Vries hierarchy will be explored. The inverse scattering problem will be solved accurately by constructing Gel'fand-Levitan-Marchenko equations and Riemann-Hilbert problem.
View Article and Find Full Text PDFCureus
December 2024
Community Medicine, Shri. B. M. Patil Medical College, Hospital and Research Centre, BLDE (Deemed to be University), Vijayapura, IND.
Background Consanguineous marriages, defined as unions between closely related individuals, are influenced by a complex interplay of cultural, social, economic, religious, and demographic factors. These marriages are prevalent among communities such as Hindus, Muslims, Jews, Buddhists, Christians, and Parsis in Southern and Western Asia, with significant regional variations within India. There is a lack of appropriate decision-making among women in consanguineous unions, particularly those with a low level of educational attainment, which leads to an increase in the prevalence of consanguineous marriages.
View Article and Find Full Text PDFHeliyon
January 2025
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, 23200, Pakistan.
Determining coefficient estimates of inverse complex valued function is often more challenging than determining the function itself, leading to a lack of articles on inverse functions by examining sharp estimates of the third-order Hankel determinant. This article uses Carathéodory functions to estimate the initial coefficients related to problems for inverse of functions that are bounded turning and subordinated with the cosine function. It covers some inverse coefficients problems together with the second and third-order Hankel determinants.
View Article and Find Full Text PDFNihon Hoshasen Gijutsu Gakkai Zasshi
January 2025
Department of Radiology, Nara Prefecture General Medical Center.
Purpose: There are attempts to assess tumor heterogeneity by texture analysis. However, the ordered subsets-expectation maximization (OSEM) reconstruction method has problems depicting heterogeneities. The aim of this study was to identify image reconstruction parameters that improve the ability to depict internal tumor necrosis using a self-made phantom that simulates internal necrosis.
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