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Orthostatic intolerance and neurocognitive impairment in Myalgic Encephalomyelitis/Chronic Fatigue Syndrome (ME/CFS). 肌痛性脑脊髓炎/慢性疲劳综合征(ME/CFS)的直立性不耐受和神经认知障碍。
Q3 Mathematics Pub Date : 2022-10-10 eCollection Date: 2022-01-01 DOI: 10.1515/em-2021-0033
Caroline L Gaglio, Mohammed F Islam, Joseph Cotler, Leonard A Jason

Objectives: The Institute of Medicine (IOM 2015. Beyond Myalgic Encephalomyelitis/Chronic Fatigue Syndrome: Redefining an Illness. Washington: The National Academies Press) suggested new criteria for Myalgic Encephalomyelitis/Chronic Fatigue Syndrome (ME/CFS), which requires an endorsement of either neurocognitive impairment or orthostatic intolerance (OI) in addition to other core symptoms. While some research supports the inclusion of OI as a core symptom, others argue that overlap with neurocognitive impairment does not justify the either/or option. The current study assessed methods of operationalizing OI using items from the DePaul Symptom Questionnaire (DSQ-1 and -2) as a part of the IOM criteria. Evaluating the relationship between OI and neurocognitive symptoms may lead to a better understanding of diagnostic criteria for ME/CFS.

Methods: Two-hundred and forty-two participants completed the DSQ. We examined how many participants met the IOM criteria while endorsing different frequencies and severities of various OI symptoms.

Results: Neurocognitive impairment was reported by 93.4% of respondents. OI without concurrent neurocognitive symptoms only allowed for an additional 1.7-4.5% of participants to meet IOM criteria.

Conclusions: Neurocognitive symptoms and OI overlap in ME/CFS, and our results do not support the IOM's inclusion of neurocognitive impairment and OI as interchangeable symptoms. Furthermore, our findings highlight the need for a uniform method of defining and measuring OI via self-report in order to accurately study OI as a symptom of ME/CFS.

目的:医学研究所(IOM 2015)。超越肌痛性脑脊髓炎/慢性疲劳综合征:重新定义疾病。华盛顿:美国国家科学院出版社)提出了肌痛性脑脊髓炎/慢性疲劳综合征(ME/CFS)的新标准,除了其他核心症状外,还需要认可神经认知障碍或直立性不耐受(OI)。虽然一些研究支持将成骨不全作为核心症状,但另一些研究认为,与神经认知障碍的重叠并不能证明非此即是的选择。目前的研究使用DePaul症状问卷(DSQ-1和-2)中的项目作为IOM标准的一部分来评估成骨不全的操作方法。评估成骨不全与神经认知症状之间的关系可能有助于更好地理解ME/CFS的诊断标准。方法:242名受试者完成DSQ。我们检查了有多少参与者符合IOM标准,同时认可了各种成骨不全症状的不同频率和严重程度。结果:93.4%的应答者存在神经认知障碍。没有并发神经认知症状的成骨不全仅允许1.7% -4.5%的参与者达到IOM标准。结论:神经认知症状和成骨不全在ME/CFS中重叠,我们的研究结果不支持IOM将神经认知障碍和成骨不全作为可互换的症状。此外,我们的研究结果强调了通过自我报告来定义和测量成骨不全的统一方法的必要性,以便准确地研究成骨不全作为ME/CFS的症状。
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引用次数: 1
Measuring COVID-19 spreading speed through the mean time between infections indicator 通过平均感染间隔时间指标衡量COVID-19的传播速度
Q3 Mathematics Pub Date : 2022-07-15 DOI: 10.1515/em-2022-0106
G. Pena, Ver'onica Moreno, N. R. Barraza
Abstract Objectives To introduce a novel way of measuring the spreading speed of an epidemic. Methods We propose to use the mean time between infections (MTBI) metric obtained from a recently introduced nonhomogeneous Markov stochastic model. Different types of parameter calibration are performed. We estimate the MTBI using data from different time windows and from the whole stage history and compare the results. In order to detect waves and stages in the input data, a preprocessing filtering technique is applied. Results The results of applying this indicator to the COVID-19 reported data of infections from Argentina, Germany and the United States are shown. We find that the MTBI behaves similarly with respect to the different data inputs, whereas the model parameters completely change their behaviour. Evolution over time of the parameters and the MTBI indicator is also shown. Conclusions We show evidence to support the claim that the MTBI is a rather good indicator in order to measure the spreading speed of an epidemic, having similar values whatever the input data size.
摘要目的介绍一种测量传染病传播速度的新方法。我们建议使用从最近引入的非齐次马尔可夫随机模型中获得的平均感染间隔时间(MTBI)度量。进行了不同类型的参数校准。我们使用来自不同时间窗口和整个阶段历史的数据来估计MTBI,并比较结果。为了检测输入数据中的波和级,采用了预处理滤波技术。结果显示了将该指标应用于阿根廷、德国和美国报告的COVID-19感染数据的结果。我们发现MTBI对于不同数据输入的行为相似,而模型参数完全改变了它们的行为。还显示了参数和MTBI指标随时间的演变。我们展示的证据支持这样一种说法,即MTBI是衡量流行病传播速度的一个相当好的指标,无论输入数据大小如何,它都具有相似的值。
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引用次数: 0
Accounting for the role of asymptomatic patients in understanding the dynamics of the COVID-19 pandemic: a case study from Singapore 解释无症状患者在理解COVID-19大流行动态中的作用:以新加坡为例
Q3 Mathematics Pub Date : 2022-02-01 DOI: 10.1515/em-2021-0031
Fu Teck Liew, P. Ghosh, Bibhas Chakraborty
Abstract Objectives To forecast the true growth of COVID-19 cases in Singapore after accounting for asymptomatic infections, we study and make modifications to the SEIR (Susceptible-Exposed-Infected-Recovered) epidemiological model by incorporating hospitalization dynamics and the presence of asymptomatic cases. We then compare the simulation results of our three epidemiological models of interest against the daily reported COVID-19 case counts during the time period from 23rd January to 6th April 2020. Finally, we compare and evaluate on the performance and accuracy of the aforementioned models’ simulations. Methods Three epidemiological models are used to forecast the true growth of COVID-19 case counts by accounting for asymptomatic infections in Singapore. They are the exponential model, SEIR model with hospitalization dynamics (SEIHRD), and the SEIHRD model with inclusion of asymptomatic cases (SEAIHRD). Results Simulation results of all three models reflect underestimation of COVID-19 cases in Singapore during the early stages of the pandemic. At a 40% asymptomatic proportion, we report basic reproduction number R 0 = 3.28 and 3.74 under the SEIHRD and SEAIHRD models respectively. At a 60% asymptomatic proportion, we report R 0 = 3.48 and 3.96 under the SEIHRD and SEAIHRD models respectively. Conclusions Based on the results of different simulation scenarios, we are highly confident that the number of COVID-19 cases in Singapore was underestimated during the early stages of the pandemic. This is supported by the exponential increase of COVID-19 cases in Singapore as the pandemic evolved.
摘要:目的通过纳入住院动态和无症状病例的存在,研究并修改SEIR(易感-暴露-感染-康复)流行病学模型,预测新加坡COVID-19病例在无症状感染后的真实增长情况。然后,我们将三种感兴趣的流行病学模型的模拟结果与2020年1月23日至4月6日期间每日报告的COVID-19病例数进行比较。最后,对上述模型的模拟性能和精度进行了比较和评价。方法采用3种流行病学模型,考虑无症状感染者,预测新加坡新冠肺炎病例数的真实增长情况。它们是指数模型、包含住院动态的SEIR模型(SEIHRD)和包含无症状病例的SEIHRD模型(SEAIHRD)。结果三种模型的模拟结果均反映了疫情初期对新加坡新冠肺炎病例的低估。在40%的无症状比例下,我们报告了SEIHRD和SEAIHRD模型下的基本繁殖数R 0分别= 3.28和3.74。在60%的无症状比例下,我们报告SEIHRD和SEAIHRD模型的R分别为3.48和3.96。根据不同模拟情景的结果,我们非常有信心,在大流行的早期阶段,新加坡的COVID-19病例数被低估了。随着疫情的发展,新加坡的COVID-19病例呈指数级增长,也为这一点提供了支持。
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引用次数: 1
COVID-19 vaccine hesitancy among undergraduate students in Thailand during the peak of the third wave of the coronavirus pandemic in 2021 在2021年第三波冠状病毒大流行高峰期间,泰国大学生对COVID-19疫苗的犹豫
Q3 Mathematics Pub Date : 2022-02-01 DOI: 10.1515/em-2022-0109
Sulan Lin, C. Rattanapan, A. Mongkolchati, M. N. Aung, W. Ounsaneha, N. Sritoomma, O. Laosee
Abstract Objectives To determine the point prevalence of undergraduate students who are hesitant to accept COVID-19 vaccination and to identify the predictors of COVID-19 vaccine hesitancy in university students. Methods A cross-sectional study was conducted during June–July 2021. A total of 542 undergraduate students from universities in three central provinces of Thailand participated in an online survey via Google Form. We used a transculturally translated, Thai version of the Oxford Coronavirus Explanations, Attitudes, and Narratives Survey (OCEANS II). Results There were 217 undergraduate students (40%) who were hesitant to receive the COVID-19 vaccine and the significant predictors for this hesitancy were: being students in Year 2 and higher (AOR: 2.73; 95% CI: 1.55–4.84); having negative beliefs toward the COVID-19 vaccine (AOR: 10.99; 95% CI: 6.82–17.73); and having a perceived positive general vaccine conspiracy belief (AOR: 1.90; 95% CI: 1.02–3.52). Conclusions It is important to minimize vaccine hesitancy among Thai undergraduate students with a negative perception of vaccines by clarifying false information.
摘要目的了解大学生新冠肺炎疫苗接种犹豫点患病率,探讨大学生新冠肺炎疫苗接种犹豫的预测因素。方法于2021年6 - 7月进行横断面研究。来自泰国中部三个省份的542名大学生通过谷歌表格参与了一项在线调查。我们使用了跨文化翻译的泰国版牛津冠状病毒解释、态度和叙述调查(OCEANS II)。结果有217名(40%)本科生对是否接种COVID-19疫苗犹豫不决,这种犹豫不决的显著预测因素是:二年级及以上学生(AOR: 2.73;95% ci: 1.55-4.84);对新冠肺炎疫苗持负面看法(AOR: 10.99;95% ci: 6.82-17.73);普遍认为疫苗阴谋论是积极的(AOR: 1.90;95% ci: 1.02-3.52)。结论通过澄清虚假信息,减少对疫苗有负面认知的泰国大学生的疫苗犹豫是很重要的。
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引用次数: 1
Incidence moments: a simple method to study the memory and short term forecast of the COVID-19 incidence time-series 发病矩:一种研究COVID-19发病时间序列记忆和短期预测的简单方法
Q3 Mathematics Pub Date : 2022-02-01 DOI: 10.1515/em-2021-0029
Mauricio Canals L, Andrea Canals C, Cristóbal Cuadrado N
Abstract Objectives The ability to predict COVID-19 dynamic has been very low, reflected in unexpected changes in the number of cases in different settings. Here the objective was to study the temporal memory of the reported daily incidence time series and propose a simple model for short-term forecast of the incidence. Methods We propose a new concept called incidence moments that allows exploring the memory of the reported incidence time series, based on successive products of the incidence and the reproductive number that allow a short term forecast of the future incidence. We studied the correlation between the predictions of and the reported incidence determining the best predictor. We compared the predictions and observed COVID-19 incidences with the mean arctangent absolute percentage error (MAAPE) analyses for the world, 43 countries and for Chile and its regions. Results The best predictor was the third moment of incidence, determining a short temporal prediction window of 15 days. After 15 days the absolute percentage error of the prediction increases significantly. The method perform better for larger populations and presents distortions in contexts of abrupt changes in incidence. Conclusions The epidemic dynamics of COVID 19 had a very short prediction window, probably associated with an intrinsic chaotic behavior of its dynamics. The incident moment modeling approach could be useful as a tool whose simplicity is appealing, since it allows rapid implementation in different settings, even with limited epidemiological technical capabilities and without requiring a large amount of computational data.
摘要目的预测新冠肺炎动态的能力一直很低,反映在不同环境下病例数的意外变化上。本文的目的是研究报告的每日发病率时间序列的时间记忆,并提出一个简单的发病率短期预测模型。我们提出了一个新的概念,即发生率矩,它可以基于发生率和繁殖数的连续乘积来探索已报道的发病率时间序列的记忆,从而可以短期预测未来的发病率。我们研究了预测和报告发病率之间的相关性,确定了最佳预测因子。我们将预测和观察到的COVID-19发病率与全球、43个国家和智利及其地区的平均反正切绝对百分比误差(MAAPE)分析进行了比较。结果最佳预测因子是发病的第三时刻,确定了15天的短时间预测窗口。15天后,预测的绝对百分比误差显著增加。该方法在较大的人群中表现更好,并且在发病率突变的背景下呈现扭曲。结论2019冠状病毒病流行动力学预测窗口很短,可能与其动力学固有的混沌性有关。事件矩建模方法可能是一种有用的工具,它的简单性很吸引人,因为它可以在不同的环境下快速实施,即使流行病学技术能力有限,也不需要大量的计算数据。
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引用次数: 1
Numerical modelling of coronavirus pandemic in Peru 秘鲁冠状病毒大流行的数值模拟
Q3 Mathematics Pub Date : 2022-02-01 DOI: 10.1515/em-2020-0026
C. Jiménez, M. Merma
Abstract Objectives The main objective of this research is to demonstrate the effectiveness of non-pharmaceutical interventions (social isolation and quarantine) and of vaccination. Methods The SIR epidemiological numerical model has been revised to obtain a new model (SAIRDQ), which involves additional variables: the population that died due to the disease (D), the isolated (A), quarantined population (Q) and the effect of vaccination. We have obtained the epidemiological parameters from the data, which are not constant during the evolution of the pandemic, using an iterative approximation method. Results Analysis of the data of infected and deceased suggest that the evolution of the coronavirus epidemic in Peru has arrived at the end of the second wave (around October 2021). We have simulated the effect of quarantine and vaccination, which are effective measures to reduce the impact of the pandemic. For a variable infection and isolation rate, due to the end of the quarantine, the death toll would be around 200 thousand; if the isolation and quarantine were relaxed since March 01, 2021, there could be more than 280 thousand deaths. Conclusions Without non-pharmaceutical interventions and vaccination, the number of deaths would be much higher than 280 thousand.
本研究的主要目的是证明非药物干预措施(社会隔离和检疫)和疫苗接种的有效性。方法对SIR流行病学数值模型进行修正,得到一个新模型(SAIRDQ),该模型增加了因病死亡人群(D)、隔离人群(a)、隔离人群(Q)和疫苗接种效果等变量。我们使用迭代逼近法从数据中获得流行病学参数,这些参数在大流行的演变过程中不是恒定的。结果对感染病例和死亡病例数据的分析表明,秘鲁冠状病毒疫情的演变已经到达第二波结束(2021年10月左右)。我们模拟了隔离和接种疫苗的效果,这是减少大流行影响的有效措施。在感染和隔离率可变的情况下,由于隔离的结束,死亡人数将在20万人左右;如果从2021年3月1日起放松隔离检疫,可能会有超过28万人死亡。结论如果没有非药物干预和疫苗接种,死亡人数将远远高于28万人。
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引用次数: 0
The impact of test positivity on surveillance with asymptomatic carriers 检测阳性对无症状感染者监测的影响
Q3 Mathematics Pub Date : 2022-02-01 DOI: 10.1101/2022.06.10.22276234
M. Gaspari
Abstract Objectives Recent studies show that Test Positivity Rate (TPR) gains a better correlation than incidence with the number of hospitalized patients in COVID-19 pandemic. Nevertheless, epidemiologists remain sceptical concerning the widespread use of this metric for surveillance, and indicators based on known cases like incidence rate are still preferred despite the large number of asymptomatic carriers, which remain unknown. Our aim is to compare TPR and incidence rate, to determine which of the two has the best characteristics to predict the trend of hospitalized patients in the COVID-19 pandemic. Methods We perform a retrospective study considering 60 outbreak cases, using global and local data from Italy in different waves of the pandemic, in order to detect peaks in TPR time series, and peaks in incidence rate, finding which of the two indicators has the best ability to anticipate peaks in patients admitted in hospitals. Results On average, the best TPR-based approach anticipates the incidence rate of about 4.6 days (95 % CI 2.8, 6.4), more precisely the average distance between TPR peaks and hospitalized peaks is 17.6 days (95 % CI 15.0, 20.4) with respect to 13.0 days (95 % CI 10.4, 15.8) obtained for incidence. Moreover, the average difference between TPR and incidence rate increased to more than 6 days in the Delta outbreak during summer 2021, where presumably the percentage of asymptomatic carriers was larger. Conclusions We conclude that TPR should be used as the primary indicator to enable early intervention, and for predicting hospital admissions in infectious diseases with asymptomatic carriers.
【摘要】目的近期研究表明,2019冠状病毒病(COVID-19)大流行期间,检测阳性率(TPR)与住院人数的相关性优于发病率。然而,流行病学家仍然对广泛使用这一指标进行监测持怀疑态度,尽管大量无症状携带者仍然未知,但基于发病率等已知病例的指标仍然是首选。我们的目的是比较TPR和发病率,确定两者中哪一个最能预测2019冠状病毒病大流行期间住院患者的趋势。方法对60例暴发病例进行回顾性研究,利用意大利在不同流行波中的全球和当地数据,以检测TPR时间序列的峰值和发病率的峰值,找出这两个指标中哪一个最能预测住院患者的峰值。结果平均而言,基于TPR的最佳方法预计发病率约为4.6天(95 % CI 2.8, 6.4),更准确地说,TPR峰值与住院高峰之间的平均距离为17.6天(95 % CI 15.0, 20.4),而发病率为13.0天(95 % CI 10.4, 15.8)。此外,2021年夏季三角洲疫情中,TPR和发病率之间的平均差异增加到6天以上,无症状携带者的比例可能更大。结论TPR应作为早期干预的主要指标,用于预测无症状感染者的住院率。
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引用次数: 0
Selection bias and multiple inclusion criteria in observational studies 观察性研究中的选择偏倚和多重纳入标准
Q3 Mathematics Pub Date : 2022-01-01 DOI: 10.1515/em-2022-0108
Stina Zetterstrom, I. Waernbaum
Abstract Objectives Spurious associations between an exposure and outcome not describing the causal estimand of interest can be the result of selection of the study population. Recently, sensitivity parameters and bounds have been proposed for selection bias, along the lines of sensitivity analysis previously proposed for bias due to unmeasured confounding. The basis for the bounds is that the researcher specifies values for sensitivity parameters describing associations under additional identifying assumptions. The sensitivity parameters describe aspects of the joint distribution of the outcome, the selection and a vector of unmeasured variables, for each treatment group respectively. In practice, selection of a study population is often made on the basis of several selection criteria, thereby affecting the proposed bounds. Methods We extend the previously proposed bounds to give additional guidance for practitioners to construct i) the sensitivity parameters for multiple selection variables and ii) an alternative assumption free bound, producing only logically feasible values. As a motivating example we derive the bounds for causal estimands in a study of perinatal risk factors for childhood onset Type 1 Diabetes Mellitus where selection of the study population was made by multiple inclusion criteria. To give further guidance for practitioners, we provide a data learner in R where both the sensitivity parameters and the assumption-free bounds are implemented. Results The assumption-free bounds can be both smaller and larger than the previously proposed bounds and can serve as an indicator of settings when the former bounds do not produce feasible values. The motivating example shows that the assumption-free bounds may not be appropriate when the outcome or treatment is rare. Conclusions Bounds can provide guidance in a sensitivity analysis to assess the magnitude of selection bias. Additional knowledge is used to produce values for sensitivity parameters under multiple selection criteria. The computation of values for the sensitivity parameters is complicated by the multiple inclusion/exclusion criteria, and a data learner in R is provided to facilitate their construction. For comparison and assessment of the feasibility of the bound an assumption free bound is provided using solely underlying assumptions in the framework of potential outcomes.
研究对象的选择可能导致暴露和结果之间的虚假关联,而不是描述感兴趣的因果估计。最近,针对选择偏倚提出了敏感性参数和界限,这与之前针对未测量混杂引起的偏倚提出的敏感性分析是一致的。边界的基础是研究人员指定了在附加识别假设下描述关联的敏感性参数的值。敏感性参数分别描述了每个治疗组的结果联合分布、未测量变量的选择和向量的各个方面。在实践中,研究人群的选择通常是根据几个选择标准进行的,从而影响了建议的界限。我们扩展了先前提出的边界,为从业者提供额外的指导,以构建i)多个选择变量的敏感性参数和ii)一个替代假设自由边界,只产生逻辑上可行的值。作为一个有启发性的例子,我们在一项关于儿童发病1型糖尿病围产期危险因素的研究中推导出因果估计的界限,其中研究人群的选择是通过多个纳入标准进行的。为了给从业者提供进一步的指导,我们在R中提供了一个数据学习器,其中实现了灵敏度参数和无假设边界。结果无假设边界可以比先前提出的边界更小或更大,并且可以在先前的边界不能产生可行值时作为设置的指标。激励的例子表明,当结果或治疗罕见时,无假设边界可能不合适。结论界限可以为敏感性分析评估选择偏倚的程度提供指导。额外的知识用于在多个选择标准下产生灵敏度参数的值。灵敏度参数值的计算因多个纳入/排除标准而变得复杂,在R中提供了一个数据学习器来方便它们的构建。为了比较和评估边界的可行性,在潜在结果的框架中仅使用基本假设提供了假设自由边界。
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引用次数: 2
Methodological proposal for constructing a classifier algorithm in clinical diagnostics of diseases using Bayesian methods 基于贝叶斯方法构建疾病临床诊断分类算法的方法学建议
Q3 Mathematics Pub Date : 2022-01-01 DOI: 10.1515/em-2021-0020
José Rafael Tovar Cuevas, Andrés Camilo Méndez Alzate, Diana María Caicedo Borrero, Juan David Díaz Mutis, Lizeth Fernanda Suárez Mensa, Lyda Elena Osorio Amaya
Abstract Objectives To develop a methodological proposal to build clinical classifiers using information about signs and symptoms reported by the patient in initial the consultation and laboratory test results. Methods The proposed methodology considers procedures typical of the Bayesian paradigm of statistics as predictive probabilities and the sequential use of the Bayes formula. Additionally, some procedures belonging to classical statistics, such as Youden’s index and ROC curves, are applied. The method assumes two possible scenarios; when the patient only reports the signs and symptoms and the physician does not have access to information from laboratory tests. The other one is when the physician, besides the patient’s information, knows the blood test results. The method is illustrated using data from patients diagnosed with dengue. Results The performance of the proposed method depends of the set of signs and symptoms and the laboratory tests considered by the doctor as good indicators of presence of the sick in the individual. Conclusions The classifier can be used as a screening tool in scenarios where there is no extensive experience treating sick individuals, or economic and social conditions do not allow laboratory methods or gold standard procedures to complete the diagnosis.
【摘要】目的提出一种方法建议,利用患者在初次会诊时报告的体征和症状信息和实验室检查结果建立临床分类器。方法提出的方法考虑了贝叶斯统计范式的典型过程,如预测概率和贝叶斯公式的顺序使用。此外,还应用了一些经典统计方法,如约登指数和ROC曲线。该方法假设了两种可能的情况;当患者只报告体征和症状,医生无法获得实验室检查的信息时。另一种情况是,医生除了知道病人的信息外,还知道验血结果。用诊断为登革热的患者的数据说明了这种方法。结果所提出的方法的性能取决于一组体征和症状和实验室测试被医生认为是良好的指标存在的疾病在个人。结论该分类器可作为筛查工具,在没有丰富的治疗病人经验,或经济和社会条件不允许实验室方法或金标准程序完成诊断的情况下使用。
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引用次数: 0
Identification of time delays in COVID-19 data 识别COVID-19数据的时间延迟
Q3 Mathematics Pub Date : 2021-11-26 DOI: 10.1515/em-2022-0117
N. Guglielmi, E. Iacomini, Alex Viguerie
Abstract Objective COVID-19 data released by public health authorities is subject to inherent time delays. Such delays have many causes, including delays in data reporting and the natural incubation period of the disease. We develop and introduce a numerical procedure to recover the distribution of these delays from data. Methods We extend a previously-introduced compartmental model with a nonlinear, distributed-delay term with a general distribution, obtaining an integrodifferential equation. We show this model can be approximated by a weighted-sum of constant time-delay terms, yielding a linear problem for the distribution weights. Standard optimization can then be used to recover the weights, approximating the distribution of the time delays. We demonstrate the viability of the approach against data from Italy and Austria. Results We find that the delay-distributions for both Italy and Austria follow a Gaussian-like profile, with a mean of around 11 to 14 days. However, we note that the delay does not appear constant across all data types, with infection, recovery, and mortality data showing slightly different trends, suggesting the presence of independent delays in each of these processes. We also found that the recovered delay-distribution is not sensitive to the discretization resolution. Conclusions These results establish the validity of the introduced procedure for the identification of time-delays in COVID-19 data. Our methods are not limited to COVID-19, and may be applied to other types of epidemiological data, or indeed any dynamical system with time-delay effects.
摘要目的公共卫生部门发布的新冠肺炎疫情数据存在固有的时间差。这种延迟有许多原因,包括数据报告的延迟和疾病的自然潜伏期。我们开发并引入了一个数值程序来从数据中恢复这些延迟的分布。方法利用一般分布的非线性分布延迟项,对先前引入的分区模型进行扩展,得到一个积分微分方程。我们证明了该模型可以用常数时滞项的加权和来近似,从而产生一个关于分布权重的线性问题。然后可以使用标准优化来恢复权重,近似时间延迟的分布。我们用意大利和奥地利的数据证明了这种方法的可行性。我们发现,意大利和奥地利的延迟分布都遵循高斯分布,平均约为11至14天。然而,我们注意到,延迟并不是在所有数据类型中都是恒定的,感染、恢复和死亡率数据显示出略有不同的趋势,这表明在这些过程中存在独立的延迟。我们还发现恢复的延迟分布对离散化分辨率不敏感。结论该方法可有效识别COVID-19数据中的时滞。我们的方法不仅限于COVID-19,而且可以应用于其他类型的流行病学数据,或者实际上任何具有时滞效应的动态系统。
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引用次数: 2
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Epidemiologic Methods
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