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The normal tissue complication probability (NTCP) is a measure for the estimated side effects of a given radiation treatment schedule. Here we use a stochastic logistic birth death process to define an organ specific and patient specific…

Tissues and Organs · Quantitative Biology 2014-12-11 Theresa Stocks , Thomas Hillen , Jiafen Gong , Martin Burger

In conventional radiotherapy, the probability of controlling tumor growth is quantified using Tumor Control Probability (TCP) models. Instead, the probability of experiencing a side effect after the irradiation of healthy tissues and organs…

The multivariate central limit theorems (CLT) for the volumes of excursion sets of stationary quasi-associated random fields on $\mathbb{R}^d$ are proved. Special attention is paid to Gaussian and shot noise fields. Formulae for the…

Probability · Mathematics 2012-03-02 Alexander Bulinski , Evgeny Spodarev , Florian Timmermann

We use a stochastic birth-death model for a population of cells to estimate the normal tissue complication probability (NTCP) under a particular radiotherapy protocol. We specifically allow for interaction between cells, via a nonlinear…

Populations and Evolution · Quantitative Biology 2018-03-26 Peter G. Hufton , Elizabeth Buckingham-Jeffery , Tobias Galla

Radiology report generation, as a key step in medical image analysis, is critical to the quantitative analysis of clinically informed decision-making levels. However, complex and diverse radiology reports with cross-source heterogeneity…

Interpreting quantitative CT biomarkers, such as organ volume and tissue attenuation, requires large-scale healthy reference distributions. However, creating these is challenging because clinical datasets are often heavily enriched with…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Christian Wachinger , Bernhard Renger , Christopher Späth , Jan Kirschke , Marcus Makowski

The goal of radiation therapy for cancer is to deliver prescribed radiation dose to the tumor while minimizing dose to the surrounding healthy tissues. To evaluate treatment plans, the dose distribution to healthy organs is commonly…

Methodology · Statistics 2024-05-24 Thai-Son Tang , Zhihui Liu , Ali Hosni , John Kim , Olli Saarela

Computed tomography (CT) is a beneficial imaging tool for diagnostic purposes. CT scans provide detailed information concerning the internal anatomic structures of a patient, but present higher radiation dose and costs compared to X-ray…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Benjamin Paulson , Joshua Goldshteyn , Sydney Balboni , John Cisler , Andrew Crisler , Natalia Bukowski , Julia Kalish , Theodore Colwell

Computed Tomography (CT) is one of the most widely used and diagnostically information-dense imaging modalities, covering critical organs such as the heart, lungs, liver, and colon. Clinical interpretation relies on both slice-driven local…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Tianwei Lin , Zhongwei Qiu , Wenqiao Zhang , Jiang Liu , Yihan Xie , Mingjian Gao , Zhenxuan Fan , Zhaocheng Li , Sijing Li , Zhongle Xie , Peng LU , Yueting Zhuang , Ling Zhang , Beng Chin Ooi , Yingda Xia

Definition of the clinical target volume (CTV) is one of the weakest links in the radiation therapy chain. In particular, inability to account for uncertainties is a severe limitation in the traditional CTV delineation approach. Here, we…

Medical Physics · Physics 2018-08-15 Nadya Shusharina , David Craft , Yen-Lin Chen , Helen Shih , Thomas Bortfeld

TCP models based on Poisson statistics are characterizing the distribution of the surviving clonogens. It enables the calculation of TCP for individuals. In order to describe clinically observed survival data of patient cohorts it is…

Medical Physics · Physics 2021-11-16 Stephan Radonic , Jürgen Besserer , Valeria Meier , Carla Rohrer Bley , Uwe Schneider

We present a central limit theorem for stationary random fields that are short-range dependent and asymptotically independent. As an application, we present a central limit theorem for an infinite family of interacting It\^o-type diffusion…

Probability · Mathematics 2021-10-19 Le Chen , Davar Khoshnevisan , David Nualart , Fei Pu

Uncertainty quantification is necessary for developers, physicians, and regulatory agencies to build trust in machine learning predictors and improve patient care. Beyond measuring uncertainty, it is crucial to express it in clinically…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Jacopo Teneggi , J Webster Stayman , Jeremias Sulam

This article reviews the evolving field of radiobiology, emphasizing the need for advanced multiscale, mechanistic models to optimize radiopharmaceutical therapies (RPT). While the traditional linear-quadratic (LQ) model underpins external…

Medical Physics · Physics 2025-09-23 Tahir Yusufaly , Hamid Abdollahi , Babak Saboury , Arman Rahmim

Combined with the principle of entropy maximum and CS state equation, the critical size for a cluster to nucleate then the critical volume fraction of a phase transition is determined in this paper, and our result is in good agreement with…

Soft Condensed Matter · Physics 2009-03-17 Lianfeng Long , Changming Xiao

Notable progress has been made in generalist medical large language models across various healthcare areas. However, large-scale modeling of in-hospital time series data - such as vital signs, lab results, and treatments in critical care -…

Complementary features of randomized controlled trials (RCTs) and observational studies (OSs) can be used jointly to estimate the average treatment effect of a target population. We propose a calibration weighting estimator that enforces…

Methodology · Statistics 2022-02-16 Dasom Lee , Shu Yang , Lin Dong , Xiaofei Wang , Donglin Zeng , Jianwen Cai

Combining cross-section and time series data is a long and well established practice in empirical economics. We develop a central limit theory that explicitly accounts for possible dependence between the two data sets. We focus on common…

Methodology · Statistics 2022-09-20 Jinyong Hahn , Guido Kuersteiner , Maurizio Mazzocco

The purpose of this paper is to provide a first class of explicit sufficient conditions for the central limit theorem and related results in the setup of non-uniformly (partially) expanding non iid random transformations, considered as…

Dynamical Systems · Mathematics 2023-07-25 Yeor Hafouta

This paper investigates the central limit theorem for linear spectral statistics of high dimensional sample covariance matrices of the form $\mathbf{B}_n=n^{-1}\sum_{j=1}^{n}\mathbf{Q}\mathbf{x}_j\mathbf{x}_j^{*}\mathbf{Q}^{*}$ where…

Probability · Mathematics 2017-08-15 Shurong Zheng , Zhidong Bai , Jianfeng Yao , Hongtu Zhu
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