A scale conjugate neural network approach for the fractional schistosomiasis disease system.

IF 1.6 4区 医学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computer Methods in Biomechanics and Biomedical Engineering Pub Date : 2025-04-01 Epub Date: 2023-12-26 DOI:10.1080/10255842.2023.2298717
Zulqurnain Sabir, Shahid Ahmad Bhat, Muhammad Asif Zahoor Raja, Dumitru Baleanu, Fazli Amin, Hafiz Abdul Wahab
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Abstract

This study presents the numerical solutions of the fractional schistosomiasis disease model (SDM) using the supervised neural networks (SNNs) and the computational scaled conjugate gradient (SCG), i.e. SNNs-SCG. The fractional derivatives are used for the precise outcomes of the fractional SDM. The preliminary fractional SDM is categorized as: uninfected, infected with schistosomiasis, recovered through infection, expose and susceptible to this virus. The accurateness of the SNNs-SCG is performed to solve three different scenarios based on the fractional SDM with synthetic data obtained with fractional Adams scheme (FAS). The generated data of FAS is used to execute SNNs-SCG scheme with 81% for training samples, 12% for testing and 7% for validation or authorization. The correctness of SNNs-SCG approach is perceived by the comparison with reference FAS results. The performances based on the error histograms (EHs), absolute error, MSE, regression, state transitions (STs) and correlation accomplish the accuracy, competence, and finesse of the SNNs-SCG scheme.

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分型血吸虫病系统的尺度共轭神经网络方法。
本研究介绍了利用监督神经网络(SNN)和计算缩放共轭梯度(SCG)(即 SNNs-SCG)对分数血吸虫病模型(SDM)的数值求解。分数导数用于分数 SDM 的精确结果。初步的分数 SDM 可分为:未感染、感染血吸虫病、感染后康复、暴露和易感染该病毒。在分数 SDM 的基础上,利用分数亚当斯方案(FAS)获得的合成数据,对 SNNs-SCG 的准确性进行了测试,以解决三种不同的情况。利用 FAS 生成的数据执行 SNNs-SCG 方案,训练样本的正确率为 81%,测试样本的正确率为 12%,验证或授权样本的正确率为 7%。SNNs-SCG 方法的正确性可通过与参考 FAS 结果的比较来感知。基于错误直方图(EHs)、绝对误差、MSE、回归、状态转换(STs)和相关性的性能证明了 SNNs-SCG 方案的准确性、能力和精细度。
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来源期刊
CiteScore
4.10
自引率
6.20%
发文量
179
审稿时长
4-8 weeks
期刊介绍: The primary aims of Computer Methods in Biomechanics and Biomedical Engineering are to provide a means of communicating the advances being made in the areas of biomechanics and biomedical engineering and to stimulate interest in the continually emerging computer based technologies which are being applied in these multidisciplinary subjects. Computer Methods in Biomechanics and Biomedical Engineering will also provide a focus for the importance of integrating the disciplines of engineering with medical technology and clinical expertise. Such integration will have a major impact on health care in the future.
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