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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…

Network meta-analysis is a powerful tool to synthesize evidence from independent studies and compare multiple treatments simultaneously. A critical task of performing a network meta-analysis is to offer ranks of all available treatment…

Methodology · Statistics 2022-07-15 Andrés F. Barrientos , Garritt L. Page , Lifeng Lin

We investigate a new dynamical system that describes tumor-host interaction. The equation that describes the untreated tumor growth is based on non-extensive statistical mechanics. Recently, this model has been shown to fit successfully…

We present briefly the Nondeterministic Waiting Time algorithm. Our technique for the simulation of biochemical reaction networks has the ability to mimic the Gillespie Algorithm for some networks and solutions to ordinary differential…

Formal Languages and Automata Theory · Computer Science 2009-07-28 John Jack , Andrei Paun

The counterfactual distribution models the effect of the treatment in the untreated group. While most of the work focuses on the expected values of the treatment effect, one may be interested in the whole counterfactual distribution or…

Machine Learning · Statistics 2022-11-04 Diego Martinez-Taboada , Dino Sejdinovic

Aims: Combinations of treatments can offer additional benefit over the treatments individually. However, trials of these combinations are lower priority than the development of novel therapies, which can restrict funding, timelines and…

Dirichlet processes (DP) are widely applied in Bayesian nonparametric modeling. However, in their basic form they do not directly integrate dependency information among data arising from space and time. In this paper, we propose location…

Machine Learning · Statistics 2017-07-04 Shiliang Sun , John Paisley , Qiuyang Liu

Given the cost and duration of phase III and phase IV clinical trials, the development of statistical methods for go/no-go decisions is vital. In this paper, we introduce a Bayesian methodology to compute the probability of success based on…

Methodology · Statistics 2020-10-27 Ethan M. Alt , Matthew A. Psioda , Joseph G. Ibrahim

We developed simulation methodology to assess eventual therapeutic efficiency of exogenous multiparametric changes in a four-component cellular system described by the system of ordinary differential equations. The method is numerically…

Tissues and Organs · Quantitative Biology 2018-06-05 Denis Horváth , Branislav Brutovsky

We present a non-parametric Bayesian latent variable model capable of learning dependency structures across dimensions in a multivariate setting. Our approach is based on flexible Gaussian process priors for the generative mappings and…

Machine Learning · Statistics 2018-07-16 Andrew R. Lawrence , Carl Henrik Ek , Neill D. F. Campbell

Dynamic treatment regimes operationalize the clinical decision process as a sequence of functions, one for each clinical decision, where each function takes as input up-to-date patient information and gives as output a single recommended…

Methodology · Statistics 2012-08-08 Eric B. Laber , Daniel J. Lizotte , Bradley Ferguson

Comorbid diseases co-occur and progress via complex temporal patterns that vary among individuals. In electronic health records we can observe the different diseases a patient has, but can only infer the temporal relationship between each…

Machine Learning · Computer Science 2020-01-22 Zhaozhi Qian , Ahmed M. Alaa , Alexis Bellot , Jem Rashbass , Mihaela van der Schaar

An important task in drug development is to identify patients, which respond better or worse to an experimental treatment. Identifying predictive covariates, which influence the treatment effect and can be used to define subgroups of…

Methodology · Statistics 2018-11-27 Marius Thomas , Björn Bornkamp , Katja Ickstadt

In oncology, phase II studies are crucial for clinical development plans as such studies identify potent agents with sufficient activity to continue development in the subsequent phase III trials. Traditionally, phase II studies are…

Methodology · Statistics 2023-08-08 Takuya Yoshimoto , Satoru Shinoda , Kouji Yamamoto , Kouji Tahata

Bayesian approaches have become increasingly popular in causal inference problems due to their conceptual simplicity, excellent performance and in-built uncertainty quantification ('posterior credible sets'). We investigate Bayesian…

Machine Learning · Statistics 2019-09-27 Kolyan Ray , Botond Szabo

Based on a novel dynamic Whittle likelihood approximation for locally stationary processes, a Bayesian nonparametric approach to estimating the time-varying spectral density is proposed. This dynamic frequency-domain based likelihood…

Methodology · Statistics 2023-03-22 Yifu Tang , Claudia Kirch , Jeong Eun Lee , Renate Meyer

We propose a novel nonparametric Bayesian approach for meta-analysis with event time outcomes. The model is an extension of linear dependent tail-free processes. The extension includes a modification to facilitate (conditionally) conjugate…

Methodology · Statistics 2024-06-25 Bernardo Flores , Peter Mueller

A mathematical model for time development of metastases and their distribution in size and carrying capacity is presented. The model is used to theoretically investigate anti-cancer therapies such as surgery and chemical treatments…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Dominique Barbolosi , Assia Benabdallah , Florence Hubert , Philip Hahnfeldt

Recent advances in dynamic treatment regimes (DTRs) facilitate the search for optimal treatments, which are tailored to individuals' specific needs and able to maximize their expected clinical benefits. However, existing algorithms relying…

Machine Learning · Statistics 2024-10-18 Hanwen Ye , Wenzhuo Zhou , Ruoqing Zhu , Annie Qu

In traditional dose-finding studies, dose-limiting toxicity (DLT) is determined within a fixed time observation window where DLT is often defined as a binary outcome. In the setting of oncology dose-finding trials, often patients in…

Applications · Statistics 2019-09-09 Lucie Biard , Bin Cheng , Gulam A. Manji , Shing M. Lee
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