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A dynamic treatment regime is a sequence of decision rules in which each decision rule recommends treatment based on features of patient medical history such as past treatments and outcomes. Existing methods for estimating optimal dynamic…

Methodology · Statistics 2015-05-22 Kristin A. Linn , Eric B. Laber , Leonard A. Stefanski

In this paper, a reaction-diffusion system modeling injection of a chemotherapeutic drug on the surface of a living tissue during a treatment for cancer patients is studied. The system describes the interaction of the chemotherapeutic drug…

Analysis of PDEs · Mathematics 2024-08-20 Jeff Morgan , Bao Quoc Tang , Hong-Ming Yin

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…

Machine Learning · Computer Science 2020-04-21 Xiao Li , Hanchen Xu , Jinming Zhang , Hua-hua Chang

In this paper, we study a distributed optimal control problem for a diffuse interface model for tumor growth. The model consists of a Cahn-Hilliard type equation for the phase field variable coupled to a reaction diffusion equation for the…

Optimization and Control · Mathematics 2021-10-12 Matthias Ebenbeck , Patrik Knopf

The majority of cancer treatments end in failure due to Intra-Tumor Heterogeneity (ITH). ITH in cancer is represented by clonal evolution where different sub-clones compete with each other for resources under conditions of Darwinian natural…

Biomarker-guided designs are increasingly used to evaluate personalized treatments based on patients' biomarker status in Phase II and III clinical trials. With adaptive enrichment, these designs can improve the efficiency of evaluating the…

Methodology · Statistics 2024-06-11 Kaiyuan Hua , Hwanhee Hong , Xiaofei Wang

Combination therapies are often needed for effective clinical outcomes in the management of complex diseases, but presently they are generally based on empirical clinical experience. Here we suggest a novel application of search algorithms,…

An optimal dynamic treatment regime (DTR) is a sequence of decision rules aimed at providing the best course of treatments individualized to patients. While conventional DTR estimation uses longitudinal data, such data can also be…

Methodology · Statistics 2025-02-06 Larry Dong , Eleanor Pullenayegum , Rodolphe Thiébaut , Olli Saarela

Individualized treatment rules (ITRs) for treatment recommendation is an important topic for precision medicine as not all beneficial treatments work well for all individuals. Interpretability is a desirable property of ITRs, as it helps…

Methodology · Statistics 2023-11-06 Jacob M. Maronge , Jared D. Huling , Guanhua Chen

We consider a particular phase field system which physical context is that of tumor growth dynamics. The model we deal with consists of a Cahn-Hilliard type equation governing the evolution of the phase variable which takes into account the…

Analysis of PDEs · Mathematics 2019-08-30 Andrea Signori

One of the barriers to the development of effective adoptive cell transfer therapies (ACT), specifically for genetically engineered T-cell receptors (TCRs), and chimeric antigen receptor (CAR) T-cells, is target antigen heterogeneity. It is…

An optimal dynamic treatment regime (DTR) consists of a sequence of decision rules in maximizing long-term benefits, which is applicable for chronic diseases such as HIV infection or cancer. In this paper, we develop a novel angle-based…

Methodology · Statistics 2020-01-15 Fei Xue , Yanqing Zhang , Wenzhuo Zhou , Haoda Fu , Annie Qu

The use of high-fidelity computational simulations promises to enable high-throughput hypothesis testing and optimisation of cancer therapies. However, increasing realism comes at the cost of increasing computational requirements. This…

Neural and Evolutionary Computing · Computer Science 2022-12-05 Richard J. Preen , Larry Bull , Andrew Adamatzky

An unprecedented number of new cancer targets are in development, and most are being developed in combination therapies. Early oncology development is strategically challenged in choosing the best combinations to move forward to late stage…

Applications · Statistics 2021-01-08 Linda Z. Sun , Cai , Wu , Xiaoyun , Li , Cong Chen , Emmett V. Schmidt

Our research is concerned with studying behavioural changes within a dynamic system, i.e. health care, and their effects on the decision-making process. Evolutionary Game theory is applied to investigate the most probable strategy(ies)…

Computer Science and Game Theory · Computer Science 2019-09-10 Zainab Alalawi , Yifeng Zeng , The Anh Han , Aiman Elragig

Finding an effective medical treatment often requires a search by trial and error. Making this search more efficient by minimizing the number of unnecessary trials could lower both costs and patient suffering. We formalize this problem as…

Machine Learning · Computer Science 2021-02-18 Samuel Håkansson , Viktor Lindblom , Omer Gottesman , Fredrik D. Johansson

In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

Control theory has seen recently impactful applications in network science, especially in connections with applications in network medicine. A key topic of research is that of finding minimal external interventions that offer control over…

Molecular Networks · Quantitative Biology 2020-07-10 Victor-Bogdan Popescu , Krishna Kanhaiya , Iulian Năstac , Eugen Czeizler , Ion Petre

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

In multi-stage radiotherapy, a patient is treated in several stages separated by weeks or months. This regimen has been motivated mostly by radiobiological considerations, but also provides an approach to reduce normal tissue dose by…

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