In this work we present results of the mapping on hypercube computers of some of the key steps involved in the procedure for 3D structural determination from transmission electron microscopy images. The goal is the introduction of parallel processing tools in the field of electron microscopy image processing. We show how the rich topology of the hypercube, combined with an efficient programming strategy, allows for order-of-magnitude increase in computational capacity for such time-consuming tasks as calculation of multidimensional FFT's, cross-correlation coefficients, fuzzy partitioning functionals and the filtered back-projection 3D reconstruction method.
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http://dx.doi.org/10.1016/0304-3991(92)90232-9 | DOI Listing |
Heliyon
January 2025
Department of Mechanical Engineering, Mohammadia School of Engineering, Avenue Ibn Sina B.P 765, Agdal, Rabat, 10090, Morocco.
Enhanced penstock structural models significantly advance hydropower engineering, yet their increasing complexity introduces challenges. As model interactions intensify, predictability and comprehensibility decrease, complicating the evaluation of model accuracy and alignment with operational performance metrics and safety standards. This issue is particularly pronounced in dynamic modeling, where knowledge gaps hinder straightforward validation via observational data.
View Article and Find Full Text PDFRes Vet Sci
December 2024
Botswana University of Agriculture and Natural Resources, P/Bag BR 0027, Gaborone, Botswana.
Approximately 20 million cases and 0.15 million human fatalities worldwide each year are caused by Salmonellosis. A mechanistic compartmental model based on ordinary differential equations is proposed to evaluate the effects of temperature and pH on the transmission dynamics of Salmonellosis.
View Article and Find Full Text PDFSci Rep
December 2024
Department of Mathematics, Faculty of Science, The Hashemite University, P.O.Box 330127, Zarqa, 13133, Jordan.
In this study, we developed a Caputo-Fractional Chlamydia pandemic model to describe the disease's spread. We demonstrated the model's positivity and boundedness, ensuring biological relevance. The existence and uniqueness of the model's solution were established, and we investigated the stability of the α-fractional order model.
View Article and Find Full Text PDFBull Math Biol
December 2024
Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, USA.
Partial Rank Correlation Coefficient (PRCC) is a powerful type of global sensitivity analysis. Usually performed following Latin Hypercube Sampling (LHS), this analysis can highlight the parameters in a mathematical model producing the observed results, a crucial step when using models to understand real-world phenomena and guide future experiments. Recently, Gasior et al.
View Article and Find Full Text PDFHeliyon
November 2024
African Institution of Mathematical Science (AIMS), NEI Globla Secretariat, Rue KG590 ST, Kigali, Rwanda.
Brucellosis, a prevalent zoonotic disease caused by bacteria from the genus , presents a substantial public health and economic challenges worldwide. In this paper, we formulate a two-patch deterministic model to investigate the impact of short-term displacement of domestic animals on the transmission dynamics of brucellosis within and between patches with heterogeneous risk of infection. The model analysis is performed, and the basic reproduction number is computed and used in the stability analysis of equilibria.
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