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Precision medicine leverages patient heterogeneity to estimate individualized treatment regimens, formalized, data-driven approaches designed to match patients with optimal treatments. In the presence of competing events, where multiple…

统计方法学 · 统计学 2024-11-14 Christina W. Zhou , Nikki L. B. Freeman , Katharine L. McGinigle , Michael R. Kosorok

The treatment assignment mechanism in a randomized clinical trial can be optimized for statistical efficiency within a specified class of randomization mechanisms. Optimal designs of this type have been characterized in terms of the…

统计方法学 · 统计学 2025-09-03 Wei Zhang , Zhiwei Zhang , Aiyi Liu

A treatment regime is a rule that assigns a treatment to patients based on their covariate information. Recently, estimation of the optimal treatment regime that yields the greatest overall expected clinical outcome of interest has…

统计方法学 · 统计学 2022-03-07 Kevin Gunn , Wenbin Lu , Rui Song

Effective therapy of complex diseases requires control of highly non-linear complex networks that remain incompletely characterized. In particular, drug intervention can be seen as control of signaling in cellular networks. Identification…

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…

生物大分子 · 定量生物学 2024-10-22 Hassan Nadeem , Diwakar Shukla

We consider challenging dynamic programming models where the associated Bellman equation, and the value and policy iteration algorithms commonly exhibit complex and even pathological behavior. Our analysis is based on the new notion of…

最优化与控制 · 数学 2016-09-13 Dimitri P. Bertsekas

In this article, we focus on determining a minimum-cost treatment program aimed at maintaining the size of a cancerous tumor at a level that allows the patient to live comfortably. At each predetermined point in a treatment horizon, the…

最优化与控制 · 数学 2026-03-31 Alain Billionnet

The Precision Medicine Initiative states that treatments for a patient should take into account not only the patient's disease, but his/her specific genetic variation as well. The vast biomedical literature holds the potential for…

信息检索 · 计算机科学 2019-04-22 Jiaming Qu , Yue Wang

In this paper, we formulate the adaptive learning problem---the problem of how to find an individualized learning plan (called policy) that chooses the most appropriate learning materials based on learner's latent traits---faced in adaptive…

机器学习 · 计算机科学 2020-04-21 Xiao Li , Hanchen Xu , Jinming Zhang , Hua-hua Chang

Dynamic treatment regimes (DTRs) consist of a sequence of decision rules, one per stage of intervention, that finds effective treatments for individual patients according to patient information history. DTRs can be estimated from models…

统计方法学 · 统计学 2021-12-07 Zeyu Bian , Erica EM Moodie , Susan M Shortreed , Sahir Bhatnagar

In order to identify important variables that are involved in making optimal treatment decision, Lu et al. (2013) proposed a penalized least squared regression framework for a fixed number of predictors, which is robust against the…

机器学习 · 统计学 2015-10-16 Chengchun Shi , Rui Song , Wenbin Lu

Objective: Anemia is a frequent comorbidity in hemodialysis patients that can be successfully treated by administering erythropoiesis-stimulating agents (ESAs). ESAs dosing is currently based on clinical protocols that often do not account…

Truncation by death, a prevalent challenge in critical care, renders traditional dynamic treatment regime (DTR) evaluation inapplicable due to ill-defined potential outcomes. We introduce a principal stratification-based method, focusing on…

机器学习 · 统计学 2025-10-10 Sihyung Park , Wenbin Lu , Shu Yang

Clinicians and researchers alike are increasingly interested in how best to personalize interventions. A dynamic treatment regimen (DTR) is a sequence of pre-specified decision rules which can be used to guide the delivery of a sequence of…

A distributed optimal control problem for a diffuse interface model, which physical context is that of tumour growth dynamics, is addressed. The system we deal with comprises a Cahn--Hilliard equation for the tumour fraction coupled with a…

偏微分方程分析 · 数学 2021-01-20 Andrea Signori

In many important applications of precision medicine, the outcome of interest is time to an event (e.g., death, relapse of disease) and the primary goal is to identify the optimal individualized decision rule (IDR) to prolong survival time.…

统计方法学 · 统计学 2022-04-11 Yu Zhou , Lan Wang , Rui Song , Tuoyi Zhao

This study presents a mathematical model that captures the interactions among tumor cells, healthy cells, and immune cells in a tumor-bearing host, with a specific focus on breast cancer. Incorporating the concept of delay, the model…

定量方法 · 定量生物学 2026-03-19 Fatemeh Ansarizadeh , Tonghua Zhang

The treatment of cancer is one of the most discussed issues in the realm of contemporary public health research. One of the primary concerns of both the general public and the government is the development of the most effective cancer…

计算机科学与博弈论 · 计算机科学 2024-01-22 Navid Seidi

Radiologists often mix medical image reading strategies, including inspection of individual modalities and local image regions, using information at different locations from different images independently as well as concurrently. In this…

计算机视觉与模式识别 · 计算机科学 2026-01-09 Xiangcen Wu , Shaheer U. Saeed , Yipei Wang , Ester Bonmati Coll , Yipeng Hu

Nonlinear regression models addressing both efficacy and toxicity outcomes are increasingly used in dose-finding trials, such as in pharmaceutical drug development. However, research on related experimental design problems for corresponding…

统计方法学 · 统计学 2016-01-06 Holger Dette , Katrin Kettelhake , Kirsten Schorning , Weng Kee Wong , Frank Bretz