Category: 7. Maths

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  • Exploring syphilis transmission dynamics with congenital infection and disability compartments

    Exploring syphilis transmission dynamics with congenital infection and disability compartments

    This section details the numerical scheme developed for the proposed model employing the Atangana-Baleanu fractional derivative. The graphical results were generated using MATLAB version 9.9 (R2020b).

    Here, we propose a numerical scheme for the…

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  • A multi-scale cross-dimension interaction approach with adaptive dilated TCN for RUL prediction

    A multi-scale cross-dimension interaction approach with adaptive dilated TCN for RUL prediction

    Problem formulation

    The RUL of a system is defined as the time interval \(t_{current}\) from the current time point to the point where system performance degrades to the failure threshold \(t_{failure}\), expressed as follows:

    $$\begin{aligned} RUL…

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  • An optimized deterministic concurrency control approach for geo-distributed transaction processing on permissioned blockchains

    An optimized deterministic concurrency control approach for geo-distributed transaction processing on permissioned blockchains

    In this section, we first introduce the GB-DCC, a deterministic concurrency control applied to the geographical blockchain, and the overall workflow in the system, then introduce the processing of the strategies respectively, and finally discuss…

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  • Fertility desire in northeast China amid population shrinkage differential identification and influence mechanisms

    Fertility desire in northeast China amid population shrinkage differential identification and influence mechanisms

    Upon completing the methodological description, this section offers a detailed interpretation and analysis of the quantitative results. It innovatively introduces the ‘three-dimensional differentiation’ approach for analysing and comparing…

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  • Concept transfer of synaptic diversity from biological to artificial neural networks

    Concept transfer of synaptic diversity from biological to artificial neural networks

  • McCulloch, W. S. & Pitts, W. A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 5, 115–133 (1943).

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  • Rumelhart, D. E., Hinton, G….

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  • Evaluating PSA dynamics for predicting androgen deprivation failure with a patient specific prostate cancer model

    Evaluating PSA dynamics for predicting androgen deprivation failure with a patient specific prostate cancer model

    Model development

    We develop a mathematical model for PCa growth, with cancer cells assumed to grow exponentially when untreated. We further assume the presence of a small population of CR cells in the treatment-naive tumor, with the majority of…

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  • Potential surrogate endpoint for B-cell hematologic malignancy: A systematic review and meta-analysis

    Potential surrogate endpoint for B-cell hematologic malignancy: A systematic review and meta-analysis

  • Center for Drug Evaluation and Research & FDA. (2021). https://www.fda.gov/drugs/development-resources/table-surrogate-endpoints-were-basis-drug-approval-or-licensure. Table of surrogate endpoints that were the basis of drug approval or licensure…

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  • Research on insider threat detection based on personalized federated learning and behavior log analysis

    Research on insider threat detection based on personalized federated learning and behavior log analysis

    Dataset

    Due to the difficulty in obtaining actual enterprise system logs, we used the ”CERT Insider Threat Tool” dataset (Carnegie Mellon University Software Engineering Institute, Pittsburgh, Pennsylvania, USA)29. The CERT dataset contains…

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