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An electrocardiogram signal classification using a hybrid machine learning and deep learning approach 利用机器学习和深度学习混合方法进行心电图信号分类
Pub Date : 2024-10-09 DOI: 10.1016/j.health.2024.100366
An electrocardiogram (ECG) is a diagnostic tool that captures the electrical activity of the heart. Any irregularity in the heart's electrical system is referred to as an arrhythmia, which can be identified through the analysis of ECG signals. Timely diagnosis of cardiac arrhythmias is crucial in order to mitigate their potentially harmful consequences. However, manual analysis of ECG signals is time-consuming and prone to inaccuracies. Therefore, researchers have developed medical decision support systems that utilize machine learning techniques to automate the analysis of ECG signals. In this study, we propose a novel method for classifying ECG signals into four distinct types of heartbeats: normal, supraventricular, ventricular, and fusion. Our method consists of two subsystems that integrate both machine learning and deep learning approaches. The first subsystem uses a residual network block to extract features from the input ECG signal, followed by an LSTM network for learning and classification of these features. The second subsystem uses several feature extraction methods and a random forest to classify the ECG signals. Furthermore, it employs a Synthetic Minority Over-Sampling Technique to improve dataset balance and overall performance. The ultimate result is achieved by merging the results of both subsystems together. An assessment of our approach was carried out on the MIT-BIH dataset, which acts as a recognized ECG signal classification benchmark. Our technique attained an impressive accuracy rate of 99.26%, ranking it as one of the most superior methods in the current literature. Our findings demonstrate the effectiveness and efficiency of our approach in accurately classifying ECG signals for arrhythmia detection.
心电图(ECG)是一种捕捉心脏电活动的诊断工具。心电系统中的任何不规则现象都被称为心律失常,可通过分析心电图信号加以识别。及时诊断心律失常对于减轻其潜在的有害后果至关重要。然而,人工分析心电图信号既费时又容易出错。因此,研究人员开发了利用机器学习技术自动分析心电图信号的医疗决策支持系统。在本研究中,我们提出了一种将心电图信号分为四种不同类型心跳的新方法:正常、室上性、心室和融合。我们的方法由两个整合了机器学习和深度学习方法的子系统组成。第一个子系统使用残差网络块从输入心电信号中提取特征,然后使用 LSTM 网络对这些特征进行学习和分类。第二个子系统使用多种特征提取方法和随机森林对心电图信号进行分类。此外,它还采用了合成少数群体过度采样技术,以提高数据集的平衡性和整体性能。最终的结果是将两个子系统的结果合并在一起。我们在 MIT-BIH 数据集上对我们的方法进行了评估,该数据集是公认的心电信号分类基准。我们的技术达到了令人印象深刻的 99.26% 的准确率,是目前文献中最优秀的方法之一。我们的研究结果证明了我们的方法在准确分类心电信号以检测心律失常方面的有效性和效率。
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引用次数: 0
An inter-hospital performance assessment model for evaluating hospitals performing hip arthroplasty 用于评估髋关节置换术医院的医院间绩效评估模型
Pub Date : 2024-09-24 DOI: 10.1016/j.health.2024.100365
The value of hospital care to patients is expressed as a combination of reduced healthcare costs, fewer medical complications, and improved patient satisfaction. Few studies highlight the value hospitals provide to their patients through hip replacement surgery.
This study aims to define a methodology for inter-hospital comparison purposes that can assess the value of hip replacement management to patients by using indicators of costs, medical complications, and patient outcomes.
We identified medical complications and costs from medico-administrative data collected by three hospitals. We associated a Disability Adjusted Life Years (DALYs) impact with medical complications, readmissions (within 30 days), and hospital mortality. Costs were analysed from a social security perspective. Patient outcomes were collected through a questionnaire-based survey after hip surgery. To compare the three hospitals, we created a composite indicator by standardizing each dependent variable and combining a weighting of importance provided by patients.
This study analysed 342 hospital stays. The mean (standard deviation) number of DALYs per stay was estimated to be more than 0.0028 (0.016) for a mean (standard deviation) cost of €4,834 (€3,665). The composite indicator allowed hospitals to be ranked and areas for improvement to be identified. In our case mix, Hospital 3 is the lowest-ranked hospital, with excessively high costs and a relatively low level of satisfaction compared to the others.
The simultaneous evaluation of medical complications, patient outcomes, and costs is a prerequisite for quality improvement efforts by managers and practitioners. In our opinion, this experiment, which sought to estimate the value hospitals bring to patients, may be viewed as the first step towards value-based purchasing in Belgium.
医院护理对患者的价值体现在降低医疗成本、减少医疗并发症和提高患者满意度等方面。很少有研究强调医院通过髋关节置换手术为患者带来的价值。本研究旨在确定一种用于医院间比较的方法,该方法可通过成本、医疗并发症和患者预后等指标评估髋关节置换术管理对患者的价值。我们从三家医院收集的医疗行政数据中确定了医疗并发症和成本,并将残疾调整生命年(DALYs)影响与医疗并发症、再入院(30 天内)和住院死亡率联系起来。我们从社会保障的角度对成本进行了分析。髋关节手术后,我们通过问卷调查收集了患者的治疗效果。为了对三家医院进行比较,我们对每个因变量进行了标准化处理,并结合患者提供的重要性加权,创建了一个综合指标。每次住院的平均(标准差)残疾调整寿命年数估计超过0.0028(0.016),平均(标准差)费用为4834欧元(3665欧元)。综合指标可以对医院进行排名,并确定需要改进的地方。在我们的病例组合中,第 3 医院是排名最低的医院,与其他医院相比,其费用过高,满意度相对较低。我们认为,这项旨在估算医院为患者带来的价值的实验,可以被视为比利时向基于价值的采购迈出的第一步。
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引用次数: 0
A data envelopment analysis model for optimizing transfer time of ischemic stroke patients under endovascular thrombectomy 优化血管内血栓切除术下缺血性脑卒中患者转院时间的数据包络分析模型
Pub Date : 2024-09-19 DOI: 10.1016/j.health.2024.100364
This study applies Data Envelopment Analysis (DEA) to optimize transfer times and futile transfers of eligible ischemic stroke patients receiving Endovascular Thrombosis (EVT) in Primary Stroke Centers (PSC) in Nova Scotia. The study aims to assess healthcare delivery in Nova Scotia over two periods. It seeks to improve stroke care for rural populations by examining nine inputs, including age and distance between PSCs and the Comprehensive Stroke Centre (CSC) that provided EVT treatment, concerning a single output variable: whether EVT is performed or not. In the first phase, 115 patients were treated as Decision-Making Units (DMUs) for ten PSCs by applying an input-oriented Variable Returns to Scale (VRS) assisted by super-efficiency analysis using the Python-based PyDEA tool. This tool is known for its unrestricted capacity to handle DMUs, inputs, and outputs. In the second phase, eight PSCs with low patient numbers were merged into four DMUs, each consisting of two PSCs. These two merged PSCs have limited patients, and the selected PSCs are also geographically close. Two PSCs have been kept separate because they had sufficient patient volume. In the first phase, VRS generated more reasonable efficiency scores for evaluation, while in the second phase, Constant Returns to Scale (CRS) outperformed VRS, yielding better results. In the initial stage of the second phase, ten PSCs were considered as six DMUs using the input-oriented CRS and VRS for 115 patients. Super-efficiency measures were applied in this stage to improve the evaluation process further. In the second part of the second phase, a comparison between the first period (2018–2019) and the second period (2020–2021) was conducted using the Malmquist Productivity Index (MPI), considering CRS and VRS to evaluate the relative efficiency and productivity change of six DMUs over time.
本研究应用数据包络分析法(DEA)对新斯科舍省初级卒中中心(PSC)接受血管内血栓治疗(EVT)的合格缺血性卒中患者的转院时间和无效转院进行优化。该研究旨在评估新斯科舍省两个时期的医疗服务提供情况。该研究通过对九个输入变量(包括年龄、初级卒中中心与提供 EVT 治疗的综合卒中中心 (CSC) 之间的距离)和一个输出变量(是否实施 EVT)进行研究,力求改善农村人口的卒中治疗。在第一阶段,通过使用基于 Python- 的 PyDEA 工具,在超效率分析的辅助下,应用以输入为导向的规模收益率变量(VRS),将 115 名患者作为 10 个 PSC 的决策单元(DMU)进行处理。该工具以其处理 DMU、输入和输出的无限制能力而著称。在第二阶段,8 个患者人数较少的 PSC 被合并为 4 个 DMU,每个 DMU 由两个 PSC 组成。这两家合并后的初级保健中心的病人数量有限,所选的初级保健中心在地理位置上也很接近。有两家初级保健中心因病人数量充足而被分开。在第一阶段,VRS 得出了更合理的效率评估分数,而在第二阶段,规模恒定收益法(CRS)优于 VRS,取得了更好的结果。在第二阶段的初始阶段,十家初级保健中心被视为六个 DMU,对 115 名患者使用了以投入为导向的 CRS 和 VRS。在这一阶段采用了超效率措施,以进一步改进评估过程。在第二阶段的第二部分,使用马尔奎斯特生产力指数(MPI)对第一阶段(2018-2019 年)和第二阶段(2020-2021 年)进行了比较,考虑了 CRS 和 VRS,以评估六个 DMU 随时间推移的相对效率和生产力变化。
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引用次数: 0
An investigation of Susceptible–Exposed–Infectious–Recovered (SEIR) tuberculosis model dynamics with pseudo-recovery and psychological effect 带假康复和心理效应的易感-暴露-感染-康复(SEIR)结核病模型动力学研究
Pub Date : 2024-09-17 DOI: 10.1016/j.health.2024.100361
Tuberculosis is one of the most pressing issues of the modern era, posing a severe health risk to humans in recent decades. This study proposes a Susceptible–Exposed–Infectious–Recovered (SEIR) tuberculosis epidemic transmission model with psychological effects and pseudo-recovery. We consider a compartmental mathematical model in which the entire population is divided into four compartments based on their natural features. The model is validated, and parameter values are estimated using Indonesian data from 2002 to 2022. To investigate their epidemiological significance, we proved the positivity and boundedness of solutions, as well as the local and global stability of equilibria. Sensitivity analysis is used to find the most influential parameters with the most significant influence on the basic reproduction number, R0. The bifurcation procedure tools of the center manifold theory are used to conduct a bifurcation study. Mathematical conditions ensure the inferred event of forward bifurcation. We performed numerical simulations that support our theoretical findings.
结核病是当代最紧迫的问题之一,近几十年来严重危害人类健康。本研究提出了一种具有心理效应和伪康复的易感-暴露-感染-康复(SEIR)结核病流行传播模型。我们考虑了一个分区数学模型,其中根据自然特征将整个人群分为四个分区。我们利用 2002 年至 2022 年的印尼数据对模型进行了验证,并估算了参数值。为了研究其流行病学意义,我们证明了解的实在性和有界性,以及平衡点的局部和全局稳定性。通过敏感性分析,我们找到了对基本繁殖数 R0 影响最大的参数。利用中心流形理论的分岔程序工具进行分岔研究。数学条件确保了推断的正向分岔事件。我们进行的数值模拟支持了我们的理论发现。
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引用次数: 0
A novel integrated logistic regression model enhanced with recursive feature elimination and explainable artificial intelligence for dementia prediction 利用递归特征消除和可解释人工智能增强痴呆症预测的新型综合逻辑回归模型
Pub Date : 2024-09-14 DOI: 10.1016/j.health.2024.100362

Dementia is a major global health issue that significantly impacts millions of individuals, families, and societies worldwide, creating a substantial burden on healthcare systems. This study introduces a novel approach for predicting dementia by employing the Logistic Regression (LR) model, enhanced with Recursive Feature Elimination (RFE), applied to a unique dataset comprising 1000 patients, with 49.60% male and 50.40% female. The LR model, recognized for its simplicity and effectiveness in binary classification tasks, is optimized through RFE, a technique that iteratively eliminates less significant features to improve model performance. The model’s effectiveness was assessed using comprehensive metrics, including accuracy, precision, recall, F1-score, Matthews Correlation Coefficient (MCC), and Kappa score. Furthermore, SHapley Additive exPlanations (SHAP) values were employed to increase the interpretability of the model, providing insights into the most influential features for dementia prediction. To address the issue of overfitting, a standardization technique was implemented, which enhanced the model’s predictive performance. The findings of this study hold potential implications for early dementia detection, informing intervention strategies, and optimizing healthcare resource allocation.

痴呆症是一个重大的全球性健康问题,严重影响着全球数百万个人、家庭和社会,给医疗保健系统带来沉重负担。本研究介绍了一种预测痴呆症的新方法,该方法采用逻辑回归(LR)模型,并通过递归特征消除(RFE)进行了增强,适用于由 1000 名患者组成的独特数据集,其中男性占 49.60%,女性占 50.40%。LR 模型因其在二元分类任务中的简便性和有效性而得到认可,该模型通过 RFE 技术进行了优化,RFE 是一种迭代消除不重要特征以提高模型性能的技术。该模型的有效性通过准确度、精确度、召回率、F1 分数、马修斯相关系数(MCC)和 Kappa 分数等综合指标进行评估。此外,还采用了SHAPLEY Additive exPlanations(SHAP)值来提高模型的可解释性,从而深入了解对痴呆症预测最有影响的特征。为了解决过拟合问题,我们采用了标准化技术,从而提高了模型的预测性能。这项研究的结果对早期痴呆症的检测、干预策略的制定和医疗资源的优化分配具有潜在的意义。
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引用次数: 0
A Markov cohort model for Endoscopic surveillance and management of Barrett’s esophagus 内镜监测和管理巴雷特食管的马尔科夫队列模型
Pub Date : 2024-08-29 DOI: 10.1016/j.health.2024.100360

Barrett's esophagus is an asymptomatic precursor to esophageal adenocarcinoma. Its rising incidence due to lifestyle factors, coupled with healthcare costs, requires cost-effective alternatives for surveillance. We propose a decision-analytic Markov cohort model to simulate Barrett's esophagus's natural progression to esophageal adenocarcinoma using TreeAge Pro. Health states include metaplasia (non-dysplastic Barrett's esophagus), low-grade dysplasia, high-grade dysplasia, and esophageal adenocarcinoma. Triplicates of these health states represent one non-stratified and two risk-stratified cohorts for devising risk-based strategies. A cycle length of six months and a time horizon of 35 years, totaling 70 cycles, is considered. Model inputs are derived from literature and, when unavailable from an extensive local database of 1087 patients (5081 person-years) from March 2003–2021, cleaned and analyzed with Rstudio (R version 3.6.3). Specific tests included descriptive statistics, Cox-proportional hazard models, and graphing. A seven-step calibration process is performed for risk-stratified and non-stratified groups simultaneously to match the progression to high-grade dysplasia and esophageal adenocarcinoma. This allows comparison between risk- and non-risk-based strategies. The calibration process included input parameterization, optimization, goodness of fit calculation, selection of sets meeting convergence criteria, and integration into probabilistic sensitivity analysis. This process generated 10,187 sets of transition probabilities, with 4358 meeting convergence criteria, ensuring equal model outputs in all groups. Mortality was 10.7% for cancer-related deaths, matching literature values. This process provides a robust framework for evaluating Barrett's esophagus progression and management strategies, supporting informed decision-making in healthcare.

巴雷特食管是食管腺癌的无症状前兆。由于生活方式和医疗成本等因素,其发病率不断上升,因此需要成本效益高的替代监测方法。我们提出了一个决策分析马尔可夫队列模型,利用 TreeAge Pro 模拟巴雷特食管向食管腺癌的自然发展过程。健康状态包括化生期(非增生不良的巴雷特食管)、低度增生不良、高度增生不良和食管腺癌。这些健康状况的三倍代表一个非分层组群和两个风险分层组群,用于制定基于风险的策略。考虑的周期长度为 6 个月,时间跨度为 35 年,共计 70 个周期。模型输入数据来源于文献,如无法获得,则来源于 2003 年 3 月至 2021 年间 1087 名患者(5081 人-年)的庞大本地数据库,并使用 Rstudio(R 3.6.3 版)进行了清理和分析。具体测试包括描述性统计、Cox 比例危险模型和绘图。对风险分层组和非分层组同时进行七步校准,以匹配向高级别发育不良和食管腺癌的进展。这样就可以对基于风险和非基于风险的策略进行比较。校准过程包括输入参数化、优化、拟合优度计算、选择符合收敛标准的集合,以及整合到概率敏感性分析中。这一过程产生了 10187 组过渡概率,其中 4358 组符合收敛标准,确保了所有组的模型输出结果相同。癌症相关死亡的死亡率为 10.7%,与文献值相符。这一过程为评估巴雷特食管的进展和管理策略提供了一个稳健的框架,为医疗保健领域的知情决策提供了支持。
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引用次数: 0
Assessing the impact on quality of prediction and inference from balancing in multilevel logistic regression 评估多级逻辑回归中的平衡对预测和推断质量的影响
Pub Date : 2024-08-22 DOI: 10.1016/j.health.2024.100359

The primary goal of this research is to examine the impact of balancing data on the prediction quality and inference in multilevel logistic regression models. Logistic regression is a valuable approach for modeling binary outcomes expected in health applications. The class imbalance problem, where one of the two outcome categories occurs much more often than the other, is common in healthcare data, such as when modeling the risk factors for rare diseases. The issue is particularly relevant for medical data that contains individual measurements and other data sources measured at a geographic region level, such as environmental risk factors. For this work, both prediction and model interpretation are of interest. A simulation model is proposed to test the impact of balancing strategies on the logistic multilevel model's parameter estimation, inference, and predictive performance. The simulated information emulates characteristics of a Gestational Diabetes Mellitus (GDM) dataset from Indiana's Medicaid program. Several datasets were simulated with varying levels of complexity, involving the balance of the outcome variable and predictors. These datasets exhibited high- or low-frequency occurrences in specific intersections of variables, often called ‘cells.’ The impact of the balancing strategies on prediction and inference was assessed using different techniques, such as the Equivalence (TOST) Test, power analysis, and predictive measures. To the best of our knowledge, this is the first research that explores the impact of using balanced samples on coefficient estimation and prediction measures when using logistic multilevel modeling, finding evidence about the benefits of using balanced samples in this context.

这项研究的主要目的是考察平衡数据对多层次逻辑回归模型的预测质量和推断的影响。逻辑回归是一种对健康应用中预期的二元结果进行建模的重要方法。类不平衡问题,即两个结果类别中的一个类别比另一个类别出现得更频繁,在医疗数据中很常见,例如在对罕见疾病的风险因素建模时。这个问题对于包含个人测量数据和其他在地理区域层面测量的数据源(如环境风险因素)的医疗数据尤为重要。在这项工作中,预测和模型解释都很重要。我们提出了一个仿真模型来测试平衡策略对逻辑多层次模型的参数估计、推理和预测性能的影响。模拟信息模仿了印第安纳州医疗补助计划中妊娠糖尿病(GDM)数据集的特征。模拟的几个数据集具有不同程度的复杂性,涉及结果变量和预测因子的平衡。这些数据集在变量的特定交叉点(通常称为 "单元")上显示出高频或低频的出现。平衡策略对预测和推理的影响通过不同的技术进行了评估,如等效性(TOST)测试、功率分析和预测措施。据我们所知,这是第一项探索在使用逻辑多层次建模时使用平衡样本对系数估计和预测指标的影响的研究,发现了在这种情况下使用平衡样本的好处。
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引用次数: 0
A comparative analysis of machine learning algorithms with tree-structured parzen estimator for liver disease prediction 机器学习算法与树状结构帕尔森估计器在肝病预测方面的比较分析
Pub Date : 2024-08-16 DOI: 10.1016/j.health.2024.100358

The liver is one of the most essential organs in the body, which helps with metabolism and keeping the body healthy. Successful treatments and better patient outcomes depend on early and correct Liver Disease (LD) diagnosis and identification. This study proposes a system for predicting the LD by combining the techniques of Machine Learning (ML) algorithms that include the Decision Tree, Random Forest, Extra Tree Classifier (ETC), LightGBM, and Adaboost, with the Tree-Structured Parzen Estimator (TPE) method for hyperparameter tuning. No previous literature research has utilized ML algorithms with TPE to predict LD. For this research, the Indian Liver Patients’ Dataset with 583 instances and 11 attributes was used. In the pre-processing of the data, techniques such as upsampling have been utilized to address the class imbalance problem. Normalization has been employed to scale the dataset, and feature selection has been applied to choose important features. The proposed model has been analyzed and compared using a 10-fold cross-validation process, with various evaluation metrics including accuracy, precision, recall, and F1-score. The model proposed in this study achieved the best level of accuracy while employing the ETC with the TPE approach, with a recorded accuracy of 95.8%.

肝脏是人体最重要的器官之一,有助于新陈代谢和保持身体健康。成功的治疗和更好的患者预后取决于早期正确的肝病(LD)诊断和识别。本研究提出了一种预测肝病的系统,它结合了机器学习(ML)算法技术,包括决策树、随机森林、额外树分类器(ETC)、LightGBM 和 Adaboost,以及用于超参数调整的树状结构帕尔森估计器(TPE)方法。以前的文献研究还没有利用带有 TPE 的多重L 算法来预测 LD。本研究使用了包含 583 个实例和 11 个属性的印度肝病患者数据集。在对数据进行预处理时,使用了上采样等技术来解决类不平衡问题。采用归一化技术对数据集进行缩放,并应用特征选择技术来选择重要特征。我们使用 10 倍交叉验证流程对所提出的模型进行了分析和比较,并使用了各种评价指标,包括准确率、精确度、召回率和 F1 分数。本研究提出的模型在采用 ETC 和 TPE 方法时达到了最佳准确度水平,准确率为 95.8%。
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引用次数: 0
A Malmquist fuzzy data envelopment analysis model for performance evaluation of rural healthcare systems 用于农村医疗系统绩效评估的马尔奎斯特模糊数据包络分析模型
Pub Date : 2024-08-08 DOI: 10.1016/j.health.2024.100357

The primary purpose of this article is to measure the relative efficiency and productivity change over time in rural healthcare systems in the presence of fuzzy data. First, a novel ranking function based on the lower and upper bounds of alpha-cut of the trapezoidal fuzzy numbers (TrFNs) is proposed to compare the TrFNs. The suggested ranking technique is used to construct the fuzzy data envelopment analysis (FDEA), Malmquist fuzzy DEA (Mal-FDEA), and undesirable Malmquist fuzzy DEA (UN-Mal-FDEA ) models. The proposed models evaluate the efficiency and productivity of decision-making units (DMUs) when the input and output data are given in the form of TrFNs. In addition, a case study of the rural healthcare system in a developing country has been considered to demonstrate the applicability of the developed models. The work considers number of sub-centers (SCs), the number of primary health centers (PHCs), the number of community health centers (CHCs), nursing Staff at PHCs, an auxiliary nurse and midwives (ANM) at SCs, doctors at PHCs, pharmacists at PHCs, laboratory technicians at PHCs, radiographers at CHCs, and specialists at CHCs as input parameters and average population covered by CHCs, average village covered by CHCs, number of patients, and infant mortality rates as output parameters to analyze the performance of the rural healthcare systems. We show the UN-Mal-FDEA model has a higher production value than the Mal-FDEA model. The results of our proposed models enable us to recognize inefficiencies that states may rectify without compromising healthcare quality.

本文的主要目的是在模糊数据存在的情况下,衡量农村医疗系统的相对效率和生产率随时间的变化。首先,提出了一种基于梯形模糊数(TrFNs)α切的上下限的新型排序函数,用于比较梯形模糊数(TrFNs)。建议的排序技术被用于构建模糊数据包络分析(FDEA)、Malmquist 模糊 DEA(Mal-FDEA)和不理想 Malmquist 模糊 DEA(UN-Mal-FDEA)模型。当输入和输出数据以 TrFN 形式给出时,所提出的模型将评估决策单元(DMU)的效率和生产率。此外,还考虑了一个发展中国家农村医疗保健系统的案例研究,以证明所开发模型的适用性。在分析农村医疗保健系统的绩效时,我们以初级保健中心的护士和助产士(ANM)、初级保健中心的医生、初级保健中心的药剂师、初级保健中心的实验室技术人员、初级保健中心的放射技师和初级保健中心的专家作为输入参数,以初级保健中心覆盖的平均人口、初级保健中心覆盖的平均村庄、病人数量和婴儿死亡率作为输出参数。结果表明,UN-Mal-FDEA 模型比 Mal-FDEA 模型具有更高的生产价值。我们提出的模型结果使我们能够认识到各州可以在不影响医疗质量的情况下纠正的低效率问题。
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引用次数: 0
An optimal control model for monkeypox transmission dynamics with vaccination and immunity loss following recovery 猴痘传播动态的优化控制模型,包括疫苗接种和恢复后的免疫力丧失
Pub Date : 2024-07-10 DOI: 10.1016/j.health.2024.100355

The viral illness known as monkeypox causes symptoms such a rash that can appear on the hands, feet, chest, face, and lips or near the genitalia. This study presents a mathematical model for the kinetics of monkeypox transmission with vaccination and immunity loss following recovery. The theories of positivity and boundedness are used to analyze the model’s well-posedness. The next generation matrix is used to determine the model’s basic reproduction number. The model’s equilibrium points are discovered. We demonstrate that the disease-free equilibrium was locally asymptotically stable. The center manifold theory is used to establish the bifurcation analysis. The impact of the parameters related to the fundamental reproduction number R0 is investigated using the normalized forward sensitivity index. In addition, the model is expanded to incorporate time-dependent management of preventing interaction with contaminated rodents, avoiding contact with contaminated people, wearing personal protective equipment, and reducing rodent populations by utilizing an integrated pest management strategy. The model’s qualitative analysis is supported by numerical simulation.

猴痘是一种病毒性疾病,患者会出现皮疹等症状,皮疹可出现在手、脚、胸部、面部、嘴唇或生殖器附近。本研究提出了猴痘在接种疫苗后传播和康复后免疫力丧失的动力学数学模型。正定和有界理论用于分析模型的拟合性。下一代矩阵用于确定模型的基本繁殖数。发现模型的平衡点。我们证明了无病平衡是局部渐近稳定的。中心流形理论用于建立分岔分析。利用归一化前向敏感性指数研究了与基本繁殖数 R0 有关的参数的影响。此外,还对模型进行了扩展,以纳入与时间相关的管理,包括防止与受污染的啮齿动物发生相互作用、避免与受污染的人接触、穿戴个人防护设备,以及利用害虫综合治理策略减少啮齿动物数量。该模型的定性分析得到了数值模拟的支持。
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引用次数: 0
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Healthcare analytics (New York, N.Y.)
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