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The issue of determining not only an adequate dose but also a dosing frequency of a drug arises frequently in Phase II clinical trials. This results in the comparison of models which have some parameters in common. Planning such studies…

Methodology · Statistics 2017-11-16 Kirsten Schorning , Maria Konstantinou

Causal models have proven extremely useful in offering formal representations of causal relationships between a set of variables. Yet in many situations, there are non-causal relationships among variables. For example, we may want variables…

Artificial Intelligence · Computer Science 2023-01-18 Sander Beckers , Joseph Y. Halpern , Christopher Hitchcock

The recently proposed Hamiltonian Adaptive Resolution Scheme (H-AdResS) allows to perform molecular simulations in an open boundary framework. It allows to change on the fly the resolution of specific subset of molecules (usually the…

Local drug delivery has received much recognition in recent years, yet it is still unpredictable how drug efficacy depends on physicochemical properties and delivery kinetics. The purpose of the current study is to provide a useful…

Dynamical Systems · Mathematics 2016-01-26 Koyel Chakravarty , D C Dalal

COVID-19 resulted in some of the largest supply chain disruptions in recent history. To mitigate the impact of future disruptions, we propose an integrated hybrid simulation framework to couple nonstationary demand signals from an event…

Multiagent Systems · Computer Science 2023-08-17 Mustafa Can Camur , Chin-Yuan Tseng , Aristotelis E. Thanos , Chelsea C. White , Walter Yund , Eleftherios Iakovou

There are multiple papers published about different AI models for the COVID-19 diagnosis with promising results. Unfortunately according to the reviews many of the papers do not reach the level of sophistication needed for a clinically…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Tuomo Kalliokoski

We propose a model averaging approach, combined with a partition and matching method to estimate the conditional average treatment effects under heteroskedastic error settings. The proposed approach has asymptotic optimality and consistency…

Methodology · Statistics 2024-12-17 Pengfei Shi , Xinyu Zhang , Wei Zhong

We propose a powerful adaptive contrast test with ordinal constraint contrast coefficients determined by observed responses. The adaptive contrast test can perform using easily calculated contrast coefficients and existing statistical…

Methodology · Statistics 2021-09-23 Masahiro Kojima

Univariate isotonic regression (IR) has been used for nonparametric estimation in dose-response and dose-finding studies. One undesirable property of IR is the prevalence of piecewise-constant stretches in its estimates, whereas the…

Methodology · Statistics 2017-01-24 Assaf P. Oron , Nancy Flournoy

Studies have shown that some people with underlying conditions such as cancer, heart failure, diabetes and hypertension are more likely to get COVID-19 and have worse outcomes. In this paper, a fractional-order derivative is proposed to…

Populations and Evolution · Quantitative Biology 2022-03-29 Samuel Okyere , Joseph Ackora-Prah , Ebenezer Bonyah , Mary Osei Fokuo

Applying reinforcement learning to robotic systems poses a number of challenging problems. A key requirement is the ability to handle continuous state and action spaces while remaining within a limited time and resource budget.…

Machine Learning · Computer Science 2020-06-29 Benjamin van Niekerk , Andreas Damianou , Benjamin Rosman

We present a new approach to nicotinic receptor kinetics and a new model explaining random variabilities in the duration of open events. The model gives new interpretation on brief and long receptor openings and predicts (for two identical…

Neurons and Cognition · Quantitative Biology 2009-01-07 Ewa Nurowska , Mykola Bratiichuk , Beata Dworakowska , Roman J. Nowak

We present a theoretical study of the phase diagram and the structure of a fluid adsorbed in high-porosity aerogels by means of an integral-equation approach combined with the replica formalism. To simulate a realistic gel environment, we…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Krakoviack , E. Kierlik , M. -L. Rosinberg , G. Tarjus

This paper proposes a mathematical approach for robust control of a nanoscale drug delivery system in treatment of atherosclerosis. First, a new nonlinear lumped model is introduced for mass transport in the arterial wall, and its accuracy…

Systems and Control · Electrical Eng. & Systems 2021-11-24 Alireza Rowhanimanesh , Mohammad-R Akbarzadeh-T

People with diabetes need insulin delivery to effectively manage their blood glucose levels, especially after meals, because their bodies either do not produce enough insulin or cannot fully utilize it. Accurate insulin delivery starts with…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Hanyu Zeng , Hui Ji , Pengfei Zhou

Traditional models of glucose-insulin dynamics rely on heuristic parameterizations chosen to fit observations within a laboratory setting. However, these models cannot describe glucose dynamics in daily life. One source of failure is in…

Machine Learning · Computer Science 2023-05-17 Ke Alexander Wang , Matthew E. Levine , Jiaxin Shi , Emily B. Fox

This paper presents a mathematical framework for optimizing drug delivery in cancer treatment using a nonlocal model of solid tumor growth. We present a coupled system of partial differential equations that incorporate long-range cellular…

Optimization and Control · Mathematics 2025-03-13 Bouhamidi Abderrahman , El Harraki Imad , Melouani Yassine

Over the course of the COVID-19 pandemic, Generalised Additive Models (GAMs) have been successfully employed on numerous occasions to obtain vital data-driven insights. In this paper we further substantiate the success story of GAMs,…

A fundamental model of tumor growth in the presence of cytotoxic chemotherapeutic agents is formulated. The model allows to study the role of the Norton-Simon hypothesis in the context of dose-dense chemotherapy. Dose-dense protocols aim at…

Populations and Evolution · Quantitative Biology 2018-12-05 Álvaro G. López , Kelly C. Iarosz , Antonio M. Batista , Jesús M. Seoane , Ricardo L. Viana , Miguel A. F. Sanjuán

Calculating mealtime insulin doses poses a significant challenge for individuals with Type 1 Diabetes (T1D). Doses should perfectly compensate for expected post-meal glucose excursions, requiring a profound understanding of the individual's…

Quantitative Methods · Quantitative Biology 2024-06-24 Anas El Fathi , Elliott Pryor , Marc D. Breton