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Fluctuating landscapes and heavy tails in animal behavior. 缓慢驱动随机过程中的突发复杂性。
Pub Date : 2024-04-16
Antonio Carlos Costa, Gautam Sridhar, Claire Wyart, Massimo Vergassola

Animal behavior is shaped by a myriad of mechanisms acting on a wide range of scales, which hampers quantitative reasoning and the identification of general principles. Here, we combine data analysis and theory to investigate the relationship between behavioral plasticity and heavy-tailed statistics often observed in animal behavior. Specifically, we first leverage high-resolution recordings of C. elegans locomotion to show that stochastic transitions among long-lived behaviors exhibit heavy-tailed first passage time distributions and correlation functions. Such heavy tails can be explained by slow adaptation of behavior over time. This particular result motivates our second step of introducing a general model where we separate fast dynamics on a quasi-stationary multi-well potential, from non-ergodic, slowly varying modes. We then show that heavy tails generically emerge in such a model, and we provide a theoretical derivation of the resulting functional form, which can become a power law with exponents that depend on the strength of the fluctuations. Finally, we provide direct support for the generality of our findings by testing them in a C. elegans mutant where adaptation is suppressed and heavy tails thus disappear, and recordings of larval zebrafish swimming behavior where heavy tails are again prevalent.

我们考虑在存在非遍历模式的情况下第一次通过时间事件的分布,这些非遍历模式在潜在景观上驱动遍历动力学。我们发现,在足够慢和足够大的波动极限下,第一次通过时间事件f(t)的分布表现出由指数为f(t)~t-2的幂律支配的重尾,以及取决于波动强度和性质的校正。我们通过示例中的直接数值模拟来支持我们的理论发现。
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引用次数: 0
Rapid, antibiotic incubation-free determination of tuberculosis drug resistance using machine learning and Raman spectroscopy. 用机器学习辅助拉曼光谱预测结核病耐药性。
Pub Date : 2024-04-09
Babatunde Ogunlade, Loza F Tadesse, Hongquan Li, Nhat Vu, Niaz Banaei, Amy K Barczak, Amr A E Saleh, Manu Prakash, Jennifer A Dionne

Tuberculosis (TB) is the world's deadliest infectious disease, with over 1.5 million deaths annually and 10 million new cases reported each year1. The causative organism, Mycobacterium tuberculosis (Mtb) can take nearly 40 days to culture2,3, a required step to determine the pathogen's antibiotic susceptibility. Both rapid identification of Mtb and rapid antibiotic susceptibility testing (AST) are essential for effective patient treatment and combating antimicrobial resistance. Here, we demonstrate a rapid, culture-free, and antibiotic incubation-free drug susceptibility test for TB using Raman spectroscopy and machine learning. We collect few-to-single-cell Raman spectra from over 25,000 cells of the MtB complex strain Bacillus Calmette-Guérin (BCG) resistant to one of the four mainstay anti-TB drugs, isoniazid, rifampicin, moxifloxacin and amikacin, as well as a pan-susceptible wildtype strain. By training a neural network on this data, we classify the antibiotic resistance profile of each strain, both on dried samples and in patient sputum samples. On dried samples, we achieve >98% resistant versus susceptible classification accuracy across all 5 BCG strains. In patient sputum samples, we achieve ~79% average classification accuracy. We develop a feature recognition algorithm in order to verify that our machine learning model is using biologically relevant spectral features to assess the resistance profiles of our mycobacterial strains. Finally, we demonstrate how this approach can be deployed in resource-limited settings by developing a low-cost, portable Raman microscope that costs <$5000. We show how this instrument and our machine learning model enables combined microscopy and spectroscopy for accurate few-to-single-cell drug susceptibility testing of BCG.

结核病是世界上最致命的传染病,每年有150万人死亡,50万人感染。快速结核病诊断和抗生素敏感性检测(AST)对于改善患者治疗和减少新耐药性的上升至关重要。在这里,我们开发了一种快速、无标记的方法来鉴定结核分枝杆菌(Mtb)菌株和抗生素耐药性突变体。我们从对四种主要抗结核药物之一(异烟肼、利福平、莫西沙星和阿米卡星)具有耐药性的同基因分枝杆菌菌株中收集了20000多个单细胞拉曼光谱,并在这些光谱上训练了一个机器学习模型。在干燥的结核病样本上,我们实现了>98%的抗生素耐药性分类准确率,而不需要抗生素共孵育;在干燥的患者痰中,我们实现了约79%的平均分类准确率。我们还开发了一种低成本的便携式拉曼显微镜,适用于结核病流行地区的现场部署。
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引用次数: 0
Unconstrained quantitative magnetization transfer imaging: disentangling T1 of the free and semi-solid spin pools. 关于脑组织中的多路径纵向自旋弛豫。
Pub Date : 2024-04-01
Jakob Assländer, Andrew Mao, Elisa Marchetto, Erin S Beck, Francesco La Rosa, Robert W Charlson, Timothy M Shepherd, Sebastian Flassbeck

Since the inception of magnetization transfer (MT) imaging, it has been widely assumed that Henkelman's two spin pools have similar longitudinal relaxation times, which motivated many researchers to constrain them to each other. However, several recent publications reported a T1s of the semi-solid spin pool that is much shorter than T1f of the free pool. While these studies tailored experiments for robust proofs-of-concept, we here aim to quantify the disentangled relaxation processes on a voxel-by-voxel basis in a clinical imaging setting, i.e., with an effective resolution of 1.24mm isotropic and full brain coverage in 12min. To this end, we optimized a hybrid-state pulse sequence for mapping the parameters of an unconstrained MT model. We scanned four people with relapsing-remitting multiple sclerosis (MS) and four healthy controls with this pulse sequence and estimated T1f1.84s and T1s0.34s in healthy white matter. Our results confirm the reports that T1sT1f and we argue that this finding identifies MT as an inherent driver of longitudinal relaxation in brain tissue. Moreover, we estimated a fractional size of the semi-solid spin pool of m0s0.212, which is larger than previously assumed. An analysis of T1f in normal-appearing white matter revealed statistically significant differences between individuals with MS and controls.

本文的目的是通过断言自由和半固体自旋池的T1弛豫时间之间的显著差异,证实先前的报告将磁化转移(MT)确定为脑组织纵向弛豫的内在驱动因素。此外,我们旨在确定一种在临床成像环境中逐体素量化这些弛豫过程的途径,即标称分辨率为1mm各向同性,12分钟内全脑覆盖。为此,我们优化了一个混合状态脉冲序列,用于映射无约束MT模型的参数。我们用这种脉冲序列扫描了4名复发-缓解型多发性硬化症(MS)患者和4名健康对照者,估计了健康WM的自由和半固体自旋池的T1f≈1.90s和T1s≈0.327s,证实了以前的报道,并质疑了常用的假设T1s=T1f或T1s=1s。此外,我们估计了半固态自旋池的分数大小为m0s≈0.202,这比之前假设的要大。对正常白质T1f的分析显示,MS患者和对照组之间存在统计学上的显著差异。总之,我们证实脑组织中的纵向自旋弛豫由MT主导,并且混合状态促进了无约束MT模型的体素拟合,这使得能够分析细微的神经退行性变。
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引用次数: 0
Timed material self-assembly controlled by circadian clock proteins. 由生物钟蛋白控制的定时材料自组装。
Pub Date : 2024-03-21
Gregor Leech, Lauren Melcher, Michelle Chiu, Maya Nugent, Lily Burton, Janet Kang, Soo Ji Kim, Sourav Roy, Leila Farhadi, Jennifer L Ross, Moumita Das, Michael J Rust, Rae M Robertson-Anderson

Active biological molecules present a powerful, yet largely untapped, opportunity to impart autonomous regulation to materials. Because these systems can function robustly to regulate when and where chemical reactions occur, they have the ability to bring complex, life-like behavior to synthetic materials. Here, we achieve this design feat by using functionalized circadian clock proteins, KaiB and KaiC, to engineer time-dependent crosslinking of colloids. The resulting material self-assembles with programmable kinetics, producing macroscopic changes in material properties, via molecular assembly of KaiB-KaiC complexes. We show that colloid crosslinking depends strictly on the phosphorylation state of KaiC, with kinetics that are synced with KaiB-KaiC complexing. Our microscopic image analyses and computational models indicate that the stability of colloidal super-structures depends sensitively on the number of Kai complexes per colloid connection. Consistent with our model predictions, a high concentration stabilizes the material against dissolution after a robust self-assembly phase, while a low concentration allows circadian oscillation of material structure. This work introduces the concept of harnessing biological timers to control synthetic materials; and, more generally, opens the door to using protein-based reaction networks to endow synthetic systems with life-like functional properties.

生物系统提供了一个强大但基本上尚未开发的机会,可以对材料进行自主调节。因为这些系统可以强大地调节化学反应发生的时间和地点,所以它们有能力为合成材料带来复杂的、类似生命的行为。在这里,我们通过使用功能化的昼夜节律时钟蛋白KaiB和KaiC来设计胶体的时间依赖性交联,实现了这一设计壮举。所得材料通过KaiB-KaiC复合物的分子组装,以可编程的动力学自组装,产生材料性质的宏观变化。我们发现胶体交联严格取决于KaiC的磷酸化状态,动力学与KaiB-KaiC络合同步。我们的微观图像分析和计算模型表明,胶体超结构的自组装需要每个胶体连接多个Kai复合物,从而稳定材料不溶解。这项工作介绍了利用生物计时器控制合成材料的概念;更普遍地说,这为使用基于蛋白质的反应网络赋予合成系统类似生命的功能特性打开了大门。
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引用次数: 0
Optimization and Validation of the DESIGNER dMRI preprocessing pipeline in white matter aging. 白质老化中 DESIGNER dMRI 预处理管道的优化与验证。
Pub Date : 2024-03-15
Jenny Chen, Benjamin Ades-Aron, Hong-Hsi Lee, Subah Mehrin, Michelle Pang, Dmitry S Novikov, Jelle Veraart, Els Fieremans

Various diffusion MRI (dMRI) preprocessing pipelines are currently available to yield more accurate diffusion parameters. Here, we evaluated accuracy and robustness of the optimized Diffusion parameter EStImation with Gibbs and NoisE Removal (DESIGNER) pipeline in a large clinical dMRI dataset and using ground truth phantoms. DESIGNER has been modified to improve denoising and target Gibbs ringing for partial Fourier acquisitions. We compared the revisited DESIGNER (Dv2) (including denoising, Gibbs removal, correction for motion, EPI distortion, and eddy currents) against the original DESIGNER (Dv1) pipeline, minimal preprocessing (including correction for motion, EPI distortion, and eddy currents only), and no preprocessing on a large clinical dMRI dataset of 524 control subjects with ages between 25 and 75 years old. We evaluated the effect of specific processing steps on age correlations in white matter with DTI and DKI metrics. We also evaluated the added effect of minimal Gaussian smoothing to deal with noise and to reduce outliers in parameter maps compared to DESIGNER (Dv2)'s noise removal method. Moreover, DESIGNER (Dv2)'s updated noise and Gibbs removal methods were assessed using ground truth dMRI phantom to evaluate accuracy. Results show age correlation in white matter with DTI and DKI metrics were affected by the preprocessing pipeline, causing systematic differences in absolute parameter values and loss or gain of statistical significance. Both in clinical dMRI and ground truth phantoms, DESIGNER (Dv2) pipeline resulted in the smallest number of outlier voxels and improved accuracy in DTI and DKI metrics as noise was reduced and Gibbs removal was improved. Thus, DESIGNER (Dv2) provides more accurate and robust DTI and DKI parameter maps as compared to no preprocessing or minimal preprocessing.

DESIGNER是一种用于临床采集的弥散核磁共振成像数据的预处理管道,经过修改后可改善部分傅立叶采集的去噪和针对吉布斯振铃的处理。在此,我们在一个大型临床 dMRI 数据集(554 例对照,25 至 75 岁)上将 DESIGNER 与其他管道进行了比较,并使用地面实况模型评估了 DESIGNER 的去噪和去吉布斯方法。结果表明,DESIGNER 能提供更准确、更稳健的参数图。
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引用次数: 0
Overcompensation of transient and permanent death rate increases in age-structured models with cannibalistic interactions. 年龄结构的Lotka-Volterra模型中的种群过度补偿、瞬态和振荡。
Pub Date : 2024-03-15
Mingtao Xia, Xiangting Li, Tom Chou

There has been renewed interest in understanding the mathematical structure of ecological population models that lead to overcompensation, the process by which a population recovers to a higher level after suffering a permanent increase in predation or harvesting. Here, we apply a recently formulated kinetic population theory to formally construct an age-structured single-species population model that includes a cannibalistic interaction in which older individuals prey on younger ones. Depending on the age-dependent structure of this interaction, our model can exhibit transient or steady-state overcompensation of an increased death rate as well as oscillations of the total population, both phenomena that have been observed in ecological systems. Analytic and numerical analysis of our model reveals sufficient conditions for overcompensation and oscillations. We also show how our structured population partial integrodifferential equation (PIDE) model can be reduced to coupled ODE models representing piecewise constant parameter domains, providing additional mathematical insight into the emergence of overcompensation.

人们对理解导致过度补偿的生态种群模型的数学结构重新产生了兴趣,过度补偿是种群在遭受捕食或收获增加后恢复到更高水平的过程。在这里,我们构建了一个年龄结构的单物种种群模型,其中包括Lotka-Volterra型的同类相残相互作用。根据年龄相关的相互作用结构,我们的模型可以表现出瞬态或稳态的过度补偿,以及在生态系统中观察到的总种群现象的振荡。对我们模型的分析和数值分析揭示了过度补偿和振荡的充分条件。我们还展示了如何将我们的结构化总体PDE模型简化为表示分段常数参数域的耦合ODE模型,为过度补偿的出现提供了额外的数学见解。
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引用次数: 0
SlicerTMS: Real-Time Visualization of Transcranial Magnetic Stimulation for Mental Health Treatment. SlicerTMS:使用增强现实和深度学习实现经颅磁刺激的交互式实时可视化。
Pub Date : 2024-03-13
Loraine Franke, Tae Young Park, Jie Luo, Yogesh Rathi, Steve Pieper, Lipeng Ning, Daniel Haehn

We present a real-time visualization system for Transcranial Magnetic Stimulation (TMS), a non-invasive neuromodulation technique for treating various brain disorders and mental health diseases. Our solution targets the current challenges of slow and labor-intensive practices in treatment planning. Integrating Deep Learning (DL), our system rapidly predicts electric field (E-field) distributions in 0.2 seconds for precise and effective brain stimulation. The core advancement lies in our tool's real-time neuronavigation visualization capabilities, which support clinicians in making more informed decisions quickly and effectively. We assess our system's performance through three studies: First, a real-world use case scenario in a clinical setting, providing concrete feedback on applicability and usability in a practical environment. Second, a comparative analysis with another TMS tool focusing on computational efficiency across various hardware platforms. Lastly, we conducted an expert user study to measure usability and influence in optimizing TMS treatment planning. The system is openly available for community use and further development on GitHub: https://github.com/lorifranke/SlicerTMS.

经颅磁刺激(TMS)是一种非侵入性神经调控方法,可有效治疗各种脑疾病。TMS治疗成功的关键因素之一是准确放置线圈,这可能具有挑战性,尤其是在针对个别患者的特定大脑区域时。计算大脑表面上的最佳线圈位置和由此产生的电场可能既昂贵又耗时。我们介绍了SlicerTMS,这是一种模拟方法,可以在医学成像平台3D Slicer中实时可视化TMS电磁场。我们的软件利用了3D深度神经网络,支持基于云的推理,并包括使用WebXR的增强现实可视化。我们评估了SlicerTMS在多种硬件配置下的性能,并将其与现有的TMS可视化应用SimNIBS进行了比较。我们所有的代码、数据和实验都是公开的:https://github.com/lorifranke/SlicerTMS.
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引用次数: 0
Limit theorems for the site frequency spectrum of neutral mutations in an exponentially growing population. 指数增长种群中性突变位点频谱的极限定理。
Pub Date : 2024-03-12
Einar Bjarki Gunnarsson, Kevin Leder, Xuanming Zhang

The site frequency spectrum (SFS) is a widely used summary statistic of genomic data. Motivated by recent evidence for the role of neutral evolution in cancer, we investigate the SFS of neutral mutations in an exponentially growing population. Using branching process techniques, we establish (first-order) almost sure convergence results for the SFS of a Galton-Watson process, evaluated either at a fixed time or at the stochastic time at which the population first reaches a certain size. We finally use our results to construct consistent estimators for the extinction probability and the effective mutation rate of a birth-death process.

位点频谱(SFS)是一种广泛使用的基因组数据汇总统计量。最近有证据表明中性进化在癌症中的作用,受此激励,我们研究了指数增长种群中中性突变的位点频谱。利用分支过程技术,我们为加尔顿-沃森过程的 SFS 建立了(一阶)几乎确定的收敛结果,在固定时间或种群首次达到一定规模的随机时间进行评估。最后,我们利用我们的结果构建了出生-死亡过程的灭绝概率和有效突变率的一致估计值。
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引用次数: 0
A Prototype Scintillator Real-Time Beam Monitor for Ultra-high Dose Rate Radiotherapy. 用于实时FLASH放射治疗的闪烁体光束监测器。
Pub Date : 2024-03-08
Daniel S Levin, Peter S Friedman, Claudio Ferretti, Nicholas Ristow, Monica Tecchio, Dale W Litzenberg, Vladimir Bashkirov, Reinhard Schulte

Background: FLASH Radiotherapy (RT) is an emergent cancer radiotherapy modality where an entire therapeutic dose is delivered at more than 1000 times higher dose rate than conventional RT. For clinical trials to be conducted safely, a precise and fast beam monitor that can generate out-of-tolerance beam interrupts is required. This paper describes the overall concept and provides results from a prototype ultra-fast, scintillator-based beam monitor for both proton and electron beam FLASH applications.

Purpose: A FLASH Beam Scintillator Monitor (FBSM) is being developed that employs a novel proprietary scintillator material. The FBSM has capabilities that conventional RT detector technologies are unable to simultaneously provide: 1) large area coverage; 2) a low mass profile; 3) a linear response over a broad dynamic range; 4) radiation hardness; 5) real-time analysis to provide an IEC-compliant fast beam-interrupt signal based on true two-dimensional beam imaging, radiation do-simetry and excellent spatial resolution.

Methods: The FBSM uses a proprietary low mass, less than 0.5 mm water equivalent, non-hygroscopic, radiation tolerant scintillator material (designated HM: hybrid material) that is viewed by high frame rate CMOS cameras. Folded optics using mirrors enable a thin monitor profile of ~10 cm. A field programmable gate array (FPGA) data acquisition system (DAQ) generates real-time analysis on a time scale appropriate to the FLASH RT beam modality: 100-1000 Hz for pulsed electrons and 10-20 kHz for quasi-continuous scanning proton pencil beams. An ion beam monitor served as the initial development platform for this work and was tested in low energy heavy-ion beams (86Kr+26 and protons). A prototype FBSM was fabricated and then tested in various radiation beams that included FLASH level dose per pulse electron beams, and a hospital radiotherapy clinic with electron beams.

Results: Results presented in this report include image quality, response linearity, radiation hardness, spatial resolution, and real-time data processing. The HM scintillator was found to be highly radiation damage resistant. It exhibited a small 0.025%/kGy signal decrease from a 216 kGy cumulative dose resulting from continuous exposure for 15 minutes at a FLASH compatible dose rate of 237 Gy/s. Measurements of the signal amplitude vs beam fluence demonstrate linear response of the FBSM at FLASH compatible dose rates of > 40 Gy/s. Comparison with commercial Gafchromic film indicates that the FBSM produces a high resolution 2D beam image and can reproduce a nearly identical beam profile, including primary beam tails. The spatial resolution was measured at 35-40 μm. Tests of the firmware beta version show successful operation at 20,000 Hz frame rate or 50 μs/frame, where the real-time analysis of the beam parameters is achieved in less than 1 μs.

Con

背景:FLASH放射治疗(RT)是一种潜在的新型癌症放射治疗技术,其整个治疗剂量在约0.1s内递送,剂量率约为传统RT的1000倍。为了安全地进行临床试验,需要精确快速的波束监测,以产生超容波束中断。目的:正在开发一种FLASH光束闪烁体监测器(FBSM),部分基于两种新型专有闪烁体材料,其功能是传统RT探测器技术无法同时提供的:1)大面积覆盖;2) 低质量轮廓;3) 在宽动态范围内的线性响应;4) 辐射耐受性;5) 实时分析符合IEC标准的快速波束中断信号;6) 真正的二维光束成像,具有出色的空间分辨率。本文介绍了设计概念,并报告了原型装置的结果。方法:FBSM使用两种专有的低质量(<1 mm WE)、不吸湿、耐辐射的闪烁体材料(分别指定为PM和HM:聚合物和混合材料),可通过高帧率机器视觉相机观看。使用反射镜的折叠光学器件可以实现约10厘米的薄监视器轮廓。闪烁体的选择取决于特定的光束类型和传输配置。目前正在开发的基于FPGA的数据采集系统在适合FLASH RT束模式的时间尺度上生成实时分析和束中断信号:脉冲电子为100-1000 Hz,准连续扫描质子笔束为10-20 kHz。制造了两个原型监测设备,并在各种辐射束中进行了测试,这些辐射束包括重离子、nA电流下的低能质子、每脉冲FLASH水平的剂量电子束,以及在医院放射治疗诊所中使用电子束进行了测试。结果:本报告中给出的结果包括图像质量、响应线性、辐射硬度、空间分辨率和实时数据处理。发现这两种闪烁体材料都具有很高的抗辐射损伤性。PM和HM闪烁体分别在9kGy和20kGy的累积剂量后没有表现出可测量的信号下降。HM在234 Gy/s的高FLASH剂量率下连续暴露15分钟产生的212 kGy累积剂量后显示出小的-0.02%/kGy信号下降。这些测试确定了FBSM相对于束流、每脉冲剂量和材料厚度的线性响应。与商用Gafchromic薄膜的比较表明,FBSM产生了高分辨率的2D光束图像,并且可以再现几乎相同的光束轮廓,包括主光束尾。光束轮廓的双高斯拟合表明,FBSM和Gafchromic膜产生相同的拟合参数,在其平均值的1.4%以内。在20kfps或50μs/帧时,光束位置、光束形状和光束剂量的实时计算和分析耗时<1μs。结论:FBSM设计用于在不显著降低光束质量的情况下,在大有源区域内提供实时光束轮廓监测。使用连续离子束和脉冲电子束,原型装置已在单粒子电流高达FLASH水平剂量率的粒子束中分级。使用我们的新型闪烁体,已经证明了从单个粒子到10nA电流的电流的光束轮廓。辐射损伤是最小的,即使在FLASH条件下,也需要在单个点中累积≥50kGy的暴露,以导致信号输出减少1%。空间分辨率与辐射变色胶片相当。对于连续质子束和100-1000 Hz的脉冲电子束,固件正在实现10-20 kHz帧速率的实时数据处理,耗时<1μs。
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引用次数: 0
Tomographic Image Reconstruction Using an Advanced Score Function (ADSF). 基于分数匹配的稀疏低剂量CT数据的图像重建。
Pub Date : 2024-02-29
Wenxiang Cong, Wenjun Xia, Ge Wang

Computed tomography (CT) reconstructs volumetric images using X-ray projection data acquired from multiple angles around an object. For low-dose or sparse-view CT scans, the classic image reconstruction algorithms often produce severe noise and artifacts. To address this issue, we develop a novel iterative image reconstruction method based on maximum a posteriori (MAP) estimation. In the MAP framework, the score function, i.e., the gradient of the logarithmic probability density distribution, plays a crucial role as an image prior in the iterative image reconstruction process. By leveraging the Gaussian mixture model, we derive a novel score matching formula to establish an advanced score function (ADSF) through deep learning. Integrating the new ADSF into the image reconstruction process, a new ADSF iterative reconstruction method is developed to improve image reconstruction quality. The convergence of the ADSF iterative reconstruction algorithm is proven through mathematical analysis. The performance of the ADSF reconstruction method is also evaluated on both public medical image datasets and clinical raw CT datasets. Our results show that the ADSF reconstruction method can achieve better denoising and deblurring effects than the state-of-the-art reconstruction methods, showing excellent generalizability and stability.

计算机断层扫描(CT)从物体周围多个角度采集的X射线投影重建截面图像。通过只测量全投影数据的一小部分,CT图像重建可以减少辐射剂量和扫描时间。然而,对于经典的分析算法,数据不足的CT的重建总是会损害结构细节,并遭受严重的伪影。为了解决这个问题,我们提出了一种基于深度学习的图像重建方法,该方法源自最大后验(MAP)估计。在贝叶斯统计框架中,图像对数概率密度分布的梯度,即得分函数,在图像重建过程中起着至关重要的作用。重建算法从理论上保证了迭代过程的收敛性。我们的数值结果还表明,该方法产生了良好的稀疏CT图像。
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