98%
921
2 minutes
20
Considering limited environmental resources, this article develops topological and random population systems, as well as positioned spread models that emphasize spatial distribution and growth. It incorporates key factors such as the birth rate and migration rate to analyze the population's spatial dynamics using tools from dynamical systems and probability theory. In addition, numerical examples and simulation results are provided to validate the theory for both topological and random models.
Download full-text PDF |
Source |
---|---|
http://dx.doi.org/10.1063/5.0256337 | DOI Listing |
Mach Learn Med Imaging
October 2024
Martinos Center for Biomedical Imaging, MGH & Harvard Medical School.
Parcellation of mesh models for cortical analysis is a central problem in neuroimaging. Most classical and deep learning methods have requisites in terms of mesh topology, requiring inputs that are homeomorphic to a sphere (i.e.
View Article and Find Full Text PDFJ Cheminform
August 2025
Department of Electrical and Computer Engineering, Texas Tech University, Lubbock, TX, 79409, USA.
Quantitative structure-activity relationship (QSAR) modeling has become a critical tool in drug design. Recently proposed Topological Regression (TR), a computationally efficient and highly interpretable QSAR model that maps distances in the chemical domain to distances in the activity domain, has shown predictive performance comparable to state-of-the-art deep learning-based models. However, TR's dependence on simple random sampling-based anchor selection and utilization of radial basis function for response reconstruction constrain its interpretability and predictive capacity.
View Article and Find Full Text PDFPharmaceuticals (Basel)
August 2025
Guangxi Key Laboratory of TCM Formulas Theory and Transformation for Damp Diseases, Guangxi University of Chinese Medicine, Nanning 530000, China.
Hepatocellular carcinoma is one of the leading causes of cancer-related deaths worldwide. Its high recurrence rate and limited treatment options underscore the urgent need for the development of new and highly effective drugs. : This study systematically explores the molecular mechanism of cinnamic acid against hepatocellular carcinoma through integrated machine learning prediction, network pharmacological analysis and in vitro experimental verification.
View Article and Find Full Text PDFPolymers (Basel)
August 2025
Food Technology Department, Federal University of Viçosa, Viçosa 36570-900, Brazil.
The objective of this study was to evaluate the physical, chemical, mechanical, thermal, and topological properties of polyvinyl alcohol (PVA) and gelatin (GL) films after incorporating three different fractions of blueberry extract: crude extract (EB, without purification), phenolic portion (EF), and concentrated anthocyanins (EA). Additionally, the study aimed to analyze the efficiency of these colorimetric indicator films in monitoring the freshness quality of shrimp. The experiment followed a completely randomized design with one factor-different types of films-studied at six levels: film incorporated with crude blueberry extract (FB), film incorporated with phenolic extract (FF), and film incorporated with anthocyanin extract (FA), in addition to the control films: the plasticized blend containing glycerol, PVA, and GL (FC), the pristine gelatin film (FG), and the pristine PVA film (FPVA).
View Article and Find Full Text PDFEntropy (Basel)
August 2025
School of Statistics and Data Science, Lanzhou University of Finance and Economics, Lanzhou 730020, China.
Clustering algorithms based on non-negative matrix factorization (NMF) have garnered significant attention in data mining due to their strong interpretability and computational simplicity. However, traditional NMF often struggles to effectively capture and preserve topological structure information between data during low-dimensional representation. Therefore, this paper proposes an autoencoder-like sparse non-negative matrix factorization with structure relationship preservation (ASNMF-SRP).
View Article and Find Full Text PDF