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An individualized dose rule recommends a dose level within a continuous safe dose range based on patient level information such as physical conditions, genetic factors and medication histories. Traditionally, personalized dose finding…

Methodology · Statistics 2020-07-21 Liangyu Zhu , Wenbin Lu , Michael R. Kosorok , Rui Song

Model immunization aims to pre-train models that are difficult to fine-tune on harmful tasks while retaining their utility on other non-harmful tasks. Though prior work has shown empirical evidence for immunizing text-to-image models, the…

Machine Learning · Computer Science 2025-05-30 Amber Yijia Zheng , Cedar Site Bai , Brian Bullins , Raymond A. Yeh

The primary goal of a two-stage Phase I/II trial is to identify the optimal dose for the following large-scale Phase III trial. Recently, Phase I dose-finding designs have shifted from identifying the maximum tolerated dose (MTD) to the…

Methodology · Statistics 2025-01-16 Hao Sun , Jerry Li

Vaccination has played an important role in preventing the spread of infectious diseases. However, the limited availability of vaccines and personnel at the roll-out of a new vaccine and the costs of vaccination campaigns often limit how…

Physics and Society · Physics 2026-01-27 Rowan Hoogervorst , Evelien van der Hurk , David Pisinger

The notions of integral input-to-state stability (iISS) and input-to-state stability (ISS) have been effective in addressing nonlinearities globally without domain restrictions in analysis and design of control systems. In particular, they…

Optimization and Control · Mathematics 2020-05-21 Hiroshi Ito

We present some applications of an Interacting Particle System (IPS) methodology to the field of Molecular Dynamics. This IPS method allows several simulations of a switched random process to keep closer to equilibrium at each time, thanks…

Statistical Mechanics · Physics 2009-11-11 Mathias Rousset , Gabriel Stoltz

We map a class of well-mixed stochastic models of biochemical feedback in steady state to the mean-field Ising model near the critical point. The mapping provides an effective temperature, magnetic field, order parameter, and heat capacity…

Biological Physics · Physics 2019-03-06 Amir Erez , Tommy A. Byrd , Robert M. Vogel , Grégoire Altan-Bonnet , Andrew Mugler

This paper describes several approaches for estimating the benchmark dose (BMD) in a risk assessment study with quantal dose-response data and when there are competing model classes for the dose-response function. Strategies involving a…

Statistics Theory · Mathematics 2019-11-19 Edsel A. Pena , Wensong Wu , Walter Piegorsch , Ronald W. West , Lingling An

Inspired by contagion models of social belief formation, we develop an epistemically-informed modeling framework, SIS-Vo, in which vaccine-related information propagates on a signed opinion network. Our model allows for heterogeneous…

Physics and Society · Physics 2026-05-22 Alessandro Casu , Camilla Quaresmini , Robin Delabays , Lewis Mitchell , Philip E. Paré

Phase 1-2 designs provide a methodological advance over phase 1 designs for dose finding by using both clinical response and toxicity. A phase 1-2 trial still may fail to select a truly optimal dose. because early response is not a perfect…

Applications · Statistics 2024-04-03 Cheng-Han Yang , Peter F. Thall , Ruitao Lin

Influence Maximization (IM) aims to maximize the number of people that become aware of a product by finding the `best' set of `seed' users to initiate the product advertisement. Unlike prior arts on static social networks containing fixed…

Social and Information Networks · Computer Science 2019-11-14 Xudong Wu , Luoyi Fu , Zixin Zhang , Jingfan Meng , Xinbing Wang , Guihai Chen

In the context of SARS-CoV-2 pandemic, mathematical modelling has played a fundamental role for making forecasts, simulating scenarios and evaluating the impact of preventive political, social and pharmaceutical measures. Optimal control…

Optimization and Control · Mathematics 2022-11-01 Giovanni Ziarelli , Luca Dede' , Nicola Parolini , Marco Verani , Alfio Quarteroni

The keyboard design is a novel phase I dose-finding method that is simple and has good operating characteristics. This paper studies theoretical properties of the keyboard design, including the optimality of its decision rules, coherence in…

Methodology · Statistics 2017-12-20 Haitao Pan , Ruitao Lin , Ying Yuan

Mathematical models are crucial for optimizing and controlling chemical processes, yet they often face significant limitations in terms of computational time, algorithm complexity, and development costs. Hybrid models, which combine…

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

Quantitative Methods · Quantitative Biology 2010-01-20 Tina Toni , Michael P. H. Stumpf

Efficient sampling in biomolecular simulations is critical for accurately capturing the complex dynamical behaviors of biological systems. Adaptive sampling techniques aim to improve efficiency by focusing computational resources on the…

Biomolecules · Quantitative Biology 2024-10-22 Hassan Nadeem , Diwakar Shukla

The main objective of dose finding trials is to find an optimal dose amongst a candidate set for further research. The trial design in oncology proceeds in stages with a decision as to how to treat the next group of patients made at every…

Methodology · Statistics 2025-10-21 Andrew Hall , Duncan Wilson , Stuart Barber , Sarah R Brown

Oncology drug development starts with a dose escalation phase to find the maximal tolerable dose (MTD). Dose limiting toxicity (DLT) is the primary endpoint for dose escalation phase. Traditionally, model-based dose escalation trial designs…

Applications · Statistics 2024-04-18 Arnab Kumar Maity , Satrajit Roy Chowdhury , Ray Li , Lada Markovtsova , Roberto Bugarini

We study the problem of learning individualized dose intervals using observational data. There are very few previous works for policy learning with continuous treatment, and all of them focused on recommending an optimal dose rather than an…

Methodology · Statistics 2022-02-25 Guanhua Chen , Xiaomao Li , Menggang Yu

Dose-finding trials for oncology studies are traditionally designed to assess safety in the early stages of drug development. With the rise of molecularly targeted therapies and immuno-oncology compounds, biomarker-driven approaches have…

Methodology · Statistics 2025-09-15 Xijin Chen , Pavel Mozgunov , Richard D. Baird , Thomas Jaki