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This paper focuses on statistical modelling and prediction of patient recruitment in clinical trials accounting for patients dropout. The recruitment model is based on a Poisson-gamma model introduced by Anisimov and Fedorov (2007), where…

Methodology · Statistics 2022-02-15 Vladimir Anisimov , Guillaume Mijoule , Armando Turchetta , Nicolas Savy

Clinical trials in the modern era are characterized by their complexity and high costs and usually involve hundreds/thousands of patients to be recruited across multiple clinical centres in many countries, as typically a rather large sample…

Methodology · Statistics 2024-11-27 Volodymyr Anisimov , Lucas Oliver

Accurate forecast of a clinical trial enrollment timeline at the planning phase is of great importance to both corporate strategic planning and trial operational excellence. While predictions of key milestones such as last subject first…

Applications · Statistics 2023-01-05 Sheng Zhong , Yunzhao Xing , Mengjia Yu , Li Wang

Clinical trials are a systematic endeavor to assess the safety and efficacy of new drugs or treatments. Conducting such trials typically demands significant financial investment and meticulous planning, highlighting the need for accurate…

Machine Learning · Computer Science 2025-11-03 Tien Huu Do , Antoine Masquelier , Nae Eoun Lee , Jonathan Crowther

It is a common practice in randomized clinical trials with the standard survival outcome to follow patients until a prespecified number of events have been observed, a type of trial known as the event-driven trial. The event-driven design…

Methodology · Statistics 2026-02-10 Jingwen Zhang , Satoshi Hattori

Time-to-event endpoints are central to evaluate treatment efficacy across many disease areas. Many trial protocols include interim analyses within group-sequential designs that control type I error via spending functions or boundary…

Methodology · Statistics 2026-01-19 Edoardo Ratti , Federico L. Perlino , Stefania Galimberti , Maria G. Valsecchi

Given progressive developments and demands on clinical trials, accurate enrollment timeline forecasting is increasingly crucial for both strategic decision-making and trial execution excellence. Naive approach assumes flat rates on…

Applications · Statistics 2023-03-15 Mengjia Yu , Sheng Zhong , Yunzhao Xing , Li Wang

Design and forecasting of patient enrollment is among the greatest challenges that the clinical research enterprize faces today, as inefficient enrollment can be a major cause of drug development delays. Therefore, the development of the…

Methodology · Statistics 2022-12-27 Vladimir Anisimov , Matthew Austin

We analyse predictions of future recruitment to a multi-centre clinical trial based on a maximum-likelihood fitting of a commonly used hierarchical Poisson-Gamma model for recruitments at individual centres. We consider the asymptotic…

Methodology · Statistics 2021-02-15 Rachael Mountain , Chris Sherlock

Many applications involve reasoning about time durations before a critical event happens--also called time-to-event outcomes. When will a customer cancel a subscription, a coma patient wake up, or a convicted criminal reoffend?…

Machine Learning · Statistics 2024-10-03 George H. Chen

Epidemic models are used to analyze the progression or outcome of an epidemic under different control policies like vaccinations, quarantines, lockdowns, use of face-masks, pharmaceutical interventions, etc. When these models accurately…

Quantitative Methods · Quantitative Biology 2022-04-19 Carlos Hernandez-Suarez , Osval Montsinos Lopez , Ramon Solano-Barajas

Progressive diseases worsen over time and are characterised by monotonic change in features that track disease progression. Here we connect ideas from two formerly separate methodologies -- event-based and hidden Markov modelling -- to…

Machine Learning · Computer Science 2021-06-07 Peter A. Wijeratne , Daniel C. Alexander

Estimands using the treatment policy strategy for addressing intercurrent events are common in Phase III clinical trials. One estimation approach for this strategy is retrieved dropout whereby observed data following an intercurrent event…

Forecasting recruitments is a key component of the monitoring phase of multicenter studies. One of the most popular techniques in this field is the Poisson-Gamma recruitment model, a Bayesian technique built on a doubly stochastic Poisson…

We introduce a general framework for monitoring, modelling, and predicting the recruitment to multi-centre clinical trials. The work is motivated by overly optimistic and narrow prediction intervals produced by existing time-homogeneous…

Methodology · Statistics 2020-09-03 Szymon Urbas , Chris Sherlock , Paul Metcalfe

We present a probabilistic model of events in continuous time in which each event triggers a Poisson process of successor events. The ensemble of observed events is thereby modeled as a superposition of Poisson processes. Efficient…

Machine Learning · Computer Science 2012-03-19 Aleksandr Simma , Michael I. Jordan

In this work, we consider the problem of predicting the course of a progressive disease, such as cancer or Alzheimer's. Progressive diseases often start with mild symptoms that might precede a diagnosis, and each patient follows their own…

Machine Learning · Computer Science 2018-03-19 Yingying Zhu , Mert R. Sabuncu

Most existing time-to-event methods focus on either single-event or competing-risks settings, leaving multi-event scenarios relatively underexplored. In many healthcare applications, for example, a patient may experience multiple clinical…

Machine Learning · Computer Science 2025-11-20 Christian Marius Lillelund , Ali Hossein Gharari Foomani , Weijie Sun , Shi-ang Qi , Russell Greiner

The goal of sequential event prediction is to estimate the next event based on a sequence of historical events, with applications to sequential recommendation, user behavior analysis and clinical treatment. In practice, the next-event…

Machine Learning · Computer Science 2023-01-18 Chenxiao Yang , Qitian Wu , Qingsong Wen , Zhiqiang Zhou , Liang Sun , Junchi Yan

The estimand framework proposes different strategies to address intercurrent events. The treatment policy strategy seems to be the most favoured as it is closely aligned with the pre-addendum intention-to-treat principle. All data for all…

Methodology · Statistics 2025-07-21 Sunita Rehal , Nicky Best , Sarah Watts , Thomas Drury
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