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A hierarchical random effects state-space model for modeling brain activities from electroencephalogram data. 根据脑电图数据建立大脑活动模型的分层随机效应状态空间模型。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae130
Xingche Guo, Bin Yang, Ji Meng Loh, Qinxia Wang, Yuanjia Wang

Mental disorders present challenges in diagnosis and treatment due to their complex and heterogeneous nature. Electroencephalogram (EEG) has shown promise as a source of potential biomarkers for these disorders. However, existing methods for analyzing EEG signals have limitations in addressing heterogeneity and capturing complex brain activity patterns between regions. This paper proposes a novel random effects state-space model (RESSM) for analyzing large-scale multi-channel resting-state EEG signals, accounting for the heterogeneity of brain connectivities between groups and individual subjects. We incorporate multi-level random effects for temporal dynamical and spatial mapping matrices and address non-stationarity so that the brain connectivity patterns can vary over time. The model is fitted under a Bayesian hierarchical model framework coupled with a Gibbs sampler. Compared to previous mixed-effects state-space models, we directly model high-dimensional random effects matrices of interest without structural constraints and tackle the challenge of identifiability. Through extensive simulation studies, we demonstrate that our approach yields valid estimation and inference. We apply RESSM to a multi-site clinical trial of major depressive disorder (MDD). Our analysis uncovers significant differences in resting-state brain temporal dynamics among MDD patients compared to healthy individuals. In addition, we show the subject-level EEG features derived from RESSM exhibit a superior predictive value for the heterogeneous treatment effect compared to the EEG frequency band power, suggesting the potential of EEG as a valuable biomarker for MDD.

精神疾病因其复杂性和异质性,给诊断和治疗带来了挑战。脑电图(EEG)有望成为这些疾病的潜在生物标记物来源。然而,现有的脑电信号分析方法在处理异质性和捕捉区域间复杂的大脑活动模式方面存在局限性。本文提出了一种新颖的随机效应状态空间模型(RESSM),用于分析大规模多通道静息态脑电图信号,并考虑到组间和单个受试者之间大脑连接性的异质性。我们为时间动态矩阵和空间映射矩阵加入了多级随机效应,并解决了非稳态问题,从而使大脑连接模式随时间而变化。该模型在贝叶斯层次模型框架下与吉布斯采样器相结合进行拟合。与以往的混合效应状态空间模型相比,我们直接对高维随机效应矩阵进行建模,无需结构约束,并解决了可识别性的难题。通过大量的模拟研究,我们证明了我们的方法能产生有效的估计和推断。我们将 RESSM 应用于重度抑郁障碍(MDD)的多地点临床试验。我们的分析发现,与健康人相比,MDD 患者的大脑静息态时间动态存在显著差异。此外,我们还表明,与脑电图频带功率相比,RESSM 得出的受试者级脑电图特征对异质性治疗效果具有更高的预测价值,这表明脑电图有可能成为治疗 MDD 的重要生物标志物。
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引用次数: 0
Case-crossover designs and overdispersion with application to air pollution epidemiology. 病例交叉设计和过度分散在空气污染流行病学中的应用。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae117
Samuel Perreault, Gracia Y Dong, Alex Stringer, Hwashin Shin, Patrick E Brown

Over the last three decades, case-crossover designs have found many applications in health sciences, especially in air pollution epidemiology. They are typically used, in combination with partial likelihood techniques, to define a conditional logistic model for the responses, usually health outcomes, conditional on the exposures. Despite the fact that conditional logistic models have been shown equivalent, in typical air pollution epidemiology setups, to specific instances of the well-known Poisson time series model, it is often claimed that they cannot allow for overdispersion. This paper clarifies the relationship between case-crossover designs, the models that ensue from their use, and overdispersion. In particular, we propose to relax the assumption of independence between individuals traditionally made in case-crossover analyses, in order to explicitly introduce overdispersion in the conditional logistic model. As we show, the resulting overdispersed conditional logistic model coincides with the overdispersed, conditional Poisson model, in the sense that their likelihoods are simple re-expressions of one another. We further provide the technical details of a Bayesian implementation of the proposed case-crossover model, which we use to demonstrate, by means of a large simulation study, that standard case-crossover models can lead to dramatically underestimated coverage probabilities, while the proposed models do not. We also perform an illustrative analysis of the association between air pollution and morbidity in Toronto, Canada, which shows that the proposed models are more robust than standard ones to outliers such as those associated with public holidays.

在过去的三十年中,病例交叉设计在健康科学中得到了广泛应用,尤其是在空气污染流行病学中。它们通常与部分似然法技术相结合,用于定义以暴露为条件的反应(通常是健康结果)的条件逻辑模型。尽管在典型的空气污染流行病学设置中,条件 logistic 模型已被证明等同于著名的泊松时间序列模型的具体实例,但人们经常声称它们无法考虑过度分散。本文澄清了病例交叉设计、使用病例交叉设计所产生的模型与过度分散之间的关系。特别是,我们建议放宽个案交叉分析中传统的个体间独立性假设,以便在条件逻辑模型中明确引入过度分散。正如我们所展示的,由此产生的过度分散条件 logistic 模型与过度分散条件泊松模型相吻合,从这个意义上说,它们的似然值是彼此的简单再表达。我们进一步提供了贝叶斯法实现所提出的病例交叉模型的技术细节,并通过一项大型模拟研究证明,标准病例交叉模型会导致覆盖概率被严重低估,而所提出的模型不会。我们还对加拿大多伦多的空气污染与发病率之间的关系进行了说明性分析,结果表明,与标准模型相比,拟议模型对异常值(如与公共节假日相关的异常值)更稳健。
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引用次数: 0
On network deconvolution for undirected graphs. 关于无向图的网络解卷积。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae112
Zhaotong Lin, Isaac Pan, Wei Pan

Network deconvolution (ND) is a method to reconstruct a direct-effect network describing direct (or conditional) effects (or associations) between any two nodes from a given network depicting total (or marginal) effects (or associations). Its key idea is that, in a directed graph, a total effect can be decomposed into the sum of a direct and an indirect effects, with the latter further decomposed as the sum of various products of direct effects. This yields a simple closed-form solution for the direct-effect network, facilitating its important applications to distinguish direct and indirect effects. Despite its application to undirected graphs, it is not well known why the method works, leaving it with skepticism. We first clarify the implicit linear model assumption underlying ND, then derive a surprisingly simple result on the equivalence between ND and use of precision matrices, offering insightful justification and interpretation for the application of ND to undirected graphs. We also establish a formal result to characterize the effect of scaling a total-effect graph. Finally, leveraging large-scale genome-wide association study data, we show a novel application of ND to contrast marginal versus conditional genetic correlations between body height and risk of coronary artery disease; the results align with an inferred causal directed graph using ND. We conclude that ND is a promising approach with its easy and wide applicability to both directed and undirected graphs.

网络解卷积(ND)是一种从描述总(或边际)效应(或关联)的给定网络中重建描述任意两个节点之间直接(或条件)效应(或关联)的直接效应网络的方法。它的主要思想是,在有向图中,总效应可以分解为直接效应和间接效应之和,后者又可进一步分解为直接效应的各种乘积之和。这就为直接效应网络提供了一个简单的闭式解,便于其在区分直接效应和间接效应方面的重要应用。尽管该方法适用于无向图,但人们并不清楚它为何有效,因此对其持怀疑态度。我们首先澄清了 ND 所隐含的线性模型假设,然后推导出一个令人惊讶的简单结果,即 ND 与使用精确矩阵之间的等价性,为 ND 在无向图中的应用提供了深刻的理由和解释。我们还建立了一个正式的结果来描述缩放总效应图的效果。最后,利用大规模全基因组关联研究数据,我们展示了 ND 的一种新应用,即对比身高与冠心病风险之间的边际遗传相关性和条件遗传相关性;结果与使用 ND 推断的因果有向图一致。我们的结论是,ND 是一种很有前途的方法,它既简单又广泛适用于有向图,也适用于无向图。
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引用次数: 0
Changepoint detection on daily home activity pattern: a sliced Poisson process method. 日常居家活动模式的变化点检测:一种切片泊松过程方法。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae114
Israel Martínez-Hernández, Rebecca Killick

The problem of health and care of people is being revolutionized. An important component of that revolution is disease prevention and health improvement from home. A natural approach to the health problem is monitoring changes in people's behavior or activities. These changes can be indicators of potential health problems. However, due to a person's daily pattern, changes will be observed throughout each day, with, eg, an increase of events around meal times and fewer events during the night. We do not wish to detect such within-day changes but rather changes in the daily behavior pattern from one day to the next. To this end, we assume the set of event times within a given day as a single observation. We model this observation as the realization of an inhomogeneous Poisson process where the rate function can vary with the time of day. Then, we propose to detect changes in the sequence of inhomogeneous Poisson processes. This approach is appropriate for many phenomena, particularly for home activity data. Our methodology is evaluated on simulated data. Overall, our approach uses local change information to detect changes across days. At the same time, it allows us to visualize and interpret the results, changes, and trends over time, allowing the detection of potential health decline.

人们的健康和护理问题正在发生革命性的变化。这场革命的一个重要组成部分就是在家预防疾病和改善健康。解决健康问题的一个自然方法是监测人们行为或活动的变化。这些变化可能是潜在健康问题的指标。然而,由于一个人的日常模式,每天都会观察到变化,例如,用餐时间前后的活动会增加,而夜间的活动会减少。我们不希望检测这种日内变化,而是希望检测从一天到第二天的日常行为模式的变化。为此,我们将给定一天内的事件时间集合假定为一个观测值。我们将此观察结果建模为非均质泊松过程的实现,其中速率函数可随一天中的时间而变化。然后,我们建议检测不均匀泊松过程序列的变化。这种方法适用于许多现象,特别是家庭活动数据。我们的方法在模拟数据上进行了评估。总的来说,我们的方法利用局部变化信息来检测跨天的变化。同时,它还能让我们直观地解读结果、变化和随时间变化的趋势,从而发现潜在的健康下降问题。
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引用次数: 0
Functional generalized canonical correlation analysis for studying multiple longitudinal variables. 用于研究多个纵向变量的功能广义典型相关分析。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae113
Lucas Sort, Laurent Le Brusquet, Arthur Tenenhaus

In this paper, we introduce functional generalized canonical correlation analysis, a new framework for exploring associations between multiple random processes observed jointly. The framework is based on the multiblock regularized generalized canonical correlation analysis framework. It is robust to sparsely and irregularly observed data, making it applicable in many settings. We establish the monotonic property of the solving procedure and introduce a Bayesian approach for estimating canonical components. We propose an extension of the framework that allows the integration of a univariate or multivariate response into the analysis, paving the way for predictive applications. We evaluate the method's efficiency in simulation studies and present a use case on a longitudinal dataset.

在本文中,我们介绍了功能广义典范相关分析,这是一种探索联合观测的多个随机过程之间关联的新框架。该框架基于多块正则化广义典范相关分析框架。它对稀疏和不规则观测数据具有鲁棒性,因此适用于多种环境。我们建立了求解过程的单调性,并引入了一种贝叶斯方法来估计典型成分。我们提出了框架的扩展,允许将单变量或多变量响应纳入分析,为预测应用铺平了道路。我们在模拟研究中评估了该方法的效率,并介绍了一个纵向数据集的使用案例。
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引用次数: 0
Bayesian inference for group-level cortical surface image-on-scalar regression with Gaussian process priors. 采用高斯过程先验的群体级皮层表面图像标度回归的贝叶斯推断。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae116
Andrew S Whiteman, Timothy D Johnson, Jian Kang

In regression-based analyses of group-level neuroimage data, researchers typically fit a series of marginal general linear models to image outcomes at each spatially referenced pixel. Spatial regularization of effects of interest is usually induced indirectly by applying spatial smoothing to the data during preprocessing. While this procedure often works well, the resulting inference can be poorly calibrated. Spatial modeling of effects of interest leads to more powerful analyses; however, the number of locations in a typical neuroimage can preclude standard computing methods in this setting. Here, we contribute a Bayesian spatial regression model for group-level neuroimaging analyses. We induce regularization of spatially varying regression coefficient functions through Gaussian process priors. When combined with a simple non-stationary model for the error process, our prior hierarchy can lead to more data-adaptive smoothing than standard methods. We achieve computational tractability through a Vecchia-type approximation of our prior that retains full spatial rank and can be constructed for a wide class of spatial correlation functions. We outline several ways to work with our model in practice and compare performance against standard vertex-wise analyses and several alternatives. Finally, we illustrate our methods in an analysis of cortical surface functional magnetic resonance imaging task contrast data from a large cohort of children enrolled in the adolescent brain cognitive development study.

在基于回归的组级神经图像数据分析中,研究人员通常会对每个空间参照像素的图像结果拟合一系列边际一般线性模型。在预处理过程中,通常会通过对数据进行空间平滑处理来间接诱导相关效应的空间正则化。虽然这种方法通常效果很好,但由此产生的推论可能校准不佳。对感兴趣的效应进行空间建模能带来更强大的分析;然而,典型神经图像中的位置数量可能会妨碍这种情况下的标准计算方法。在这里,我们为组级神经影像分析提供了一个贝叶斯空间回归模型。我们通过高斯过程先验对空间变化的回归系数函数进行正则化。当与误差过程的简单非平稳模型相结合时,我们的先验层次结构能带来比标准方法更多的数据适应性平滑。我们通过 Vecchia 类型的先验近似实现了计算的可操作性,这种近似保留了完整的空间秩,并可为多种空间相关函数构建。我们概述了在实践中使用我们的模型的几种方法,并与标准顶点分析和几种替代方法进行了性能比较。最后,我们通过分析参加青少年大脑认知发展研究的一大批儿童的皮层表面功能磁共振成像任务对比数据来说明我们的方法。
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引用次数: 0
Likelihood adaptively incorporated external aggregate information with uncertainty for survival data. 概率自适应地将外部总体信息与生存数据的不确定性结合起来。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae120
Ziqi Chen, Yu Shen, Jing Qin, Jing Ning

Population-based cancer registry databases are critical resources to bridge the information gap that results from a lack of sufficient statistical power from primary cohort data with small to moderate sample size. Although comprehensive data associated with tumor biomarkers often remain either unavailable or inconsistently measured in these registry databases, aggregate survival information sourced from these repositories has been well documented and publicly accessible. An appealing option is to integrate the aggregate survival information from the registry data with the primary cohort to enhance the evaluation of treatment impacts or prediction of survival outcomes across distinct tumor subtypes. Nevertheless, for rare types of cancer, even the sample sizes of cancer registries remain modest. The variability linked to the aggregated statistics could be non-negligible compared with the sample variation of the primary cohort. In response, we propose an externally informed likelihood approach, which facilitates the linkage between the primary cohort and external aggregate data, with consideration of the variation from aggregate information. We establish the asymptotic properties of the estimators and evaluate the finite sample performance via simulation studies. Through the application of our proposed method, we integrate data from the cohort of inflammatory breast cancer (IBC) patients at the University of Texas MD Anderson Cancer Center with aggregate survival data from the National Cancer Data Base, enabling us to appraise the effect of tri-modality treatment on survival across various tumor subtypes of IBC.

基于人群的癌症登记数据库是弥合信息差距的重要资源,而信息差距是由于样本量小到中等的原始队列数据缺乏足够的统计能力造成的。虽然与肿瘤生物标记物相关的综合数据在这些登记数据库中往往无法获得或测量结果不一致,但从这些资料库中获得的总体生存信息已被详细记录并可公开获取。一个吸引人的选择是将登记数据中的总体生存信息与原始队列整合起来,以加强对不同肿瘤亚型的治疗效果评估或生存结果预测。然而,对于罕见类型的癌症,即使是癌症登记处的样本量也仍然不大。与原始队列的样本变异相比,与汇总统计相关的变异可能是不可忽略的。为此,我们提出了一种外部知情似然法,这种方法有助于将原始队列和外部总体数据联系起来,并考虑到总体信息的变异。我们建立了估计器的渐近特性,并通过模拟研究评估了有限样本的性能。通过应用我们提出的方法,我们将得克萨斯大学 MD 安德森癌症中心的炎性乳腺癌(IBC)患者队列数据与国家癌症数据库的总体生存数据进行了整合,从而评估了三模式治疗对不同肿瘤亚型 IBC 患者生存的影响。
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引用次数: 0
ROMI: a randomized two-stage basket trial design to optimize doses for multiple indications. ROMI:采用随机两阶段篮式试验设计,优化多种适应症的剂量。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae105
Shuqi Wang, Peter F Thall, Kentaro Takeda, Ying Yuan

Optimizing doses for multiple indications is challenging. The pooled approach of finding a single optimal biological dose (OBD) for all indications ignores that dose-response or dose-toxicity curves may differ between indications, resulting in varying OBDs. Conversely, indication-specific dose optimization often requires a large sample size. To address this challenge, we propose a Randomized two-stage basket trial design that Optimizes doses in Multiple Indications (ROMI). In stage 1, for each indication, response and toxicity are evaluated for a high dose, which may be a previously obtained maximum tolerated dose, with a rule that stops accrual to indications where the high dose is unsafe or ineffective. Indications not terminated proceed to stage 2, where patients are randomized between the high dose and a specified lower dose. A latent-cluster Bayesian hierarchical model is employed to borrow information between indications, while considering the potential heterogeneity of OBD across indications. Indication-specific utilities are used to quantify response-toxicity trade-offs. At the end of stage 2, for each indication with at least one acceptable dose, the dose with highest posterior mean utility is selected as optimal. Two versions of ROMI are presented, one using only stage 2 data for dose optimization and the other optimizing doses using data from both stages. Simulations show that both versions have desirable operating characteristics compared to designs that either ignore indications or optimize dose independently for each indication.

针对多种适应症优化剂量具有挑战性。为所有适应症寻找单一最佳生物剂量(OBD)的集合方法忽略了不同适应症的剂量反应或剂量毒性曲线可能不同,从而导致不同的OBD。相反,针对特定适应症的剂量优化往往需要大量样本。为了应对这一挑战,我们提出了一种 "多适应症剂量优化(ROMI)"的两阶段随机篮式试验设计。在第一阶段,针对每个适应症,评估高剂量(可能是之前获得的最大耐受剂量)的反应和毒性,并规定高剂量不安全或无效的适应症停止累积。未被终止的适应症进入第二阶段,患者在高剂量和指定的低剂量之间随机选择。在考虑到不同适应症间 OBD 的潜在异质性的同时,还采用了一种潜群组贝叶斯分层模型来借用适应症间的信息。适应症特定的效用被用来量化反应-毒性权衡。在第二阶段结束时,对于至少有一个可接受剂量的每个适应症,选择后验平均效用最高的剂量作为最佳剂量。本文介绍了两个版本的 ROMI,一个版本仅使用第 2 阶段的数据进行剂量优化,另一个版本则使用两个阶段的数据进行剂量优化。模拟显示,与忽略适应症或针对每个适应症单独优化剂量的设计相比,这两个版本都具有理想的运行特性。
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引用次数: 0
Semiparametric sensitivity analysis: unmeasured confounding in observational studies. 半参数敏感性分析:观察性研究中的未测量混杂因素。
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae106
Razieh Nabi, Matteo Bonvini, Edward H Kennedy, Ming-Yueh Huang, Marcela Smid, Daniel O Scharfstein

Establishing cause-effect relationships from observational data often relies on untestable assumptions. It is crucial to know whether, and to what extent, the conclusions drawn from non-experimental studies are robust to potential unmeasured confounding. In this paper, we focus on the average causal effect (ACE) as our target of inference. We generalize the sensitivity analysis approach developed by Robins et al., Franks et al., and Zhou and Yao. We use semiparametric theory to derive the non-parametric efficient influence function of the ACE, for fixed sensitivity parameters. We use this influence function to construct a one-step, split sample, truncated estimator of the ACE. Our estimator depends on semiparametric models for the distribution of the observed data; importantly, these models do not impose any restrictions on the values of sensitivity analysis parameters. We establish sufficient conditions ensuring that our estimator has $sqrt{n}$ asymptotics. We use our methodology to evaluate the causal effect of smoking during pregnancy on birth weight. We also evaluate the performance of estimation procedure in a simulation study.

从观察数据中建立因果关系往往依赖于无法检验的假设。了解从非实验研究中得出的结论是否以及在多大程度上对潜在的未测量混杂因素具有稳健性至关重要。在本文中,我们将平均因果效应(ACE)作为推论目标。我们推广了罗宾斯等人、弗兰克斯等人以及周和姚所开发的敏感性分析方法。我们使用半参数理论推导出固定敏感度参数下 ACE 的非参数有效影响函数。我们利用该影响函数构建了一个一步法、分割样本、截断的 ACE 估计器。我们的估计器依赖于观测数据分布的半参数模型;重要的是,这些模型对灵敏度分析参数值不施加任何限制。我们建立了充分条件,确保我们的估计器具有 $sqrt{n}$ 渐进性。我们使用我们的方法来评估孕期吸烟对出生体重的因果效应。我们还在模拟研究中评估了估计程序的性能。
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引用次数: 0
Bayesian pathway analysis over brain network mediators for survival data. 针对生存数据的脑网络介质贝叶斯路径分析
IF 1.4 4区 数学 Q3 BIOLOGY Pub Date : 2024-10-03 DOI: 10.1093/biomtc/ujae132
Xinyuan Tian, Fan Li, Li Shen, Denise Esserman, Yize Zhao

Technological advancements in noninvasive imaging facilitate the construction of whole brain interconnected networks, known as brain connectivity. Existing approaches to analyze brain connectivity frequently disaggregate the entire network into a vector of unique edges or summary measures, leading to a substantial loss of information. Motivated by the need to explore the effect mechanism among genetic exposure, brain connectivity, and time to disease onset with maximum information extraction, we propose a Bayesian approach to model the effect pathway between each of these components while quantifying the mediating role of brain networks. To accommodate the biological architectures of brain connectivity constructed along white matter fiber tracts, we develop a structural model which includes a symmetric matrix-variate accelerated failure time model for disease onset and a symmetric matrix response regression for the network-variate mediator. We further impose within-graph sparsity and between-graph shrinkage to identify informative network configurations and eliminate the interference of noisy components. Simulations are carried out to confirm the advantages of our proposed method over existing alternatives. By applying the proposed method to the landmark Alzheimer's Disease Neuroimaging Initiative study, we obtain neurobiologically plausible insights that may inform future intervention strategies.

无创成像技术的进步促进了全脑互连网络(即大脑连接性)的构建。现有的大脑连通性分析方法经常将整个网络分解为独特的边缘向量或摘要度量,导致大量信息丢失。为了探索遗传暴露、大脑连通性和发病时间之间的效应机制,并最大限度地提取信息,我们提出了一种贝叶斯方法来模拟这些组成部分之间的效应途径,同时量化大脑网络的中介作用。为了适应沿白质纤维束构建的大脑连通性生物结构,我们建立了一个结构模型,其中包括一个对称矩阵变量加速失败时间模型(用于疾病发病)和一个对称矩阵响应回归模型(用于网络变量中介)。我们进一步施加了图内稀疏性和图间收缩,以识别信息网络配置并消除噪声成分的干扰。通过模拟实验,我们证实了我们提出的方法相对于现有方法的优势。通过将所提出的方法应用于具有里程碑意义的阿尔茨海默病神经成像倡议研究,我们获得了神经生物学上合理的见解,这些见解或许能为未来的干预策略提供参考。
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引用次数: 0
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