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Better understanding of feeding behaviour will be vital in reducing obesity and metabolic syndrome, but we lack a standard model that captures the complexity of feeding behaviour. We construct an accurate stochastic model of rodent feeding…

Models of relativistic heavy ion collisions typically involve both a hydrodynamic module to describe the high density liquid-like phase and a Boltzmann module to simulate the low density break-up phase which is gas-like. Coupling the…

Nuclear Theory · Physics 2010-10-27 Scott Pratt , Giorgio Torrieri

Effective medication management in Parkinson's Disease (PD) is challenging due to heterogeneous disease progression, variable patient response, and medication side effects. While AI models can forecast levodopa equivalent daily dose (LEDD)…

Machine Learning · Computer Science 2026-05-21 Ricardo Diaz-Rincon , Muxuan Liang , Adolfo Ramirez-Zamora , Benjamin Shickel

Kinetically-constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We…

Statistical Mechanics · Physics 2017-03-01 Eial Teomy , Yair Shokef

Simulation of post-prandial pharmacokinetics, such as muscle protein synthesis (MPS) through mTORC1 and insulin-induced glucose uptake, is often challenging due to the computational intensity of the multi-compartmental approach. In this…

Other Quantitative Biology · Quantitative Biology 2026-05-28 Alberto Calderone

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

Importance: An artificial intelligence (AI)-based model to predict COVID-19 likelihood from chest x-ray (CXR) findings can serve as an important adjunct to accelerate immediate clinical decision making and improve clinical decision making.…

A composite, exponential relaxation function, modulated by a periodic component, was used to fit to an experimental time series of blood glucose levels. The 11 parameters function that allows for the detection of a possible rhythm…

Quantitative Methods · Quantitative Biology 2008-01-30 Baruch Vainas

This article considers the optimal control of the SIR model with both transmission and treatment uncertainty. It follows the model presented in Gatto and Schellhorn (2021). We make four significant improvements on the latter paper. First,…

Optimization and Control · Mathematics 2021-05-20 Yujia Ding , Henry Schellhorn

We develop a new model of insulin-glucose dynamics for forecasting blood glucose in type 1 diabetics. We augment an existing biomedical model by introducing time-varying dynamics driven by a machine learning sequence model. Our model…

Machine Learning · Statistics 2020-08-10 Andrew C. Miller , Nicholas J. Foti , Emily Fox

In type 2 diabetes (T2D) treatment, finding a safe and effective basal insulin dose is a challenge. The dose-response is highly individual and to ensure safety, people with T2D titrate by slowly increasing the daily insulin dose to meet…

Systems and Control · Electrical Eng. & Systems 2022-11-28 Sarah Ellinor Engell , Tinna Björk Aradóttir , Tobias K. S. Ritschel , Henrik Bengtsson , John Bagterp Jørgensen

Background: Phase I trials desire to identify the maximum tolerated dose (MTD) early and proceed quickly to an expansion cohort or phase II trial for efficacy. We propose an early completion method based on multiple dosages to accelerate…

Quantitative Methods · Quantitative Biology 2021-10-04 Masahiro Kojima

Postprandial glucose collected through continuous glucose monitoring (CGM) provides critical information for assessing metabolic capacity and guiding dietary recommendations. Traditional approaches summarize these data into scalar measures,…

Quantitative Methods · Quantitative Biology 2026-04-03 Marcos Matabuena , Joe Sartini , Francisco Gude

Linear constrained optimization techniques have been applied to many real-world settings. In recent years, inferring the unknown parameters and functions inside an optimization model has also gained traction. This inference is often based…

Optimization and Control · Mathematics 2020-10-16 Farzin Ahmadi , Fardin Ganjkhanloo , Kimia Ghobadi

Recently, phase II trials with multiple schedules (frequency of administrations) have become more popular, for instance in the development of treatments for atopic dermatitis. If the relationship of the dose and response is described by a…

Applications · Statistics 2020-11-17 Burak Kürsad Günhan , Paul Meyvisch , Tim Friede

As the outbreak of COVID-19 enters its third year, we have now enough data to analyse the behavior of the pandemic with mathematical models over a long period of time. The pandemic alternates periods of high and low infections, in a way…

Populations and Evolution · Quantitative Biology 2022-03-17 Alex Viguerie , Margherita Carletti , Alessandro Veneziani , Guido Silvestri

The big crux with drug delivery to human lungs is that the delivered dose at the local site of action is unpredictable and very difficult to measure, even a posteriori. It is highly subject-specific as it depends on lung morphology,…

Modelling disease progression of iron deficiency anaemia (IDA) following oral iron supplement prescriptions is a prerequisite for evaluating the cost-effectiveness of oral iron supplements. Electronic health records (EHRs) from the Clinical…

Applications · Statistics 2021-07-30 Li Su , Yafeng Cheng , Dora I. A. Pereira , Jonathan J. Powell

Non-adherence to medications is a critical concern since nearly half of patients with chronic illnesses do not follow their prescribed medication regimens, leading to increased mortality, costs, and preventable human distress. Amongst stage…

Machine Learning · Computer Science 2025-04-22 Navreet Kaur , Manuel Gonzales , Cristian Garcia Alcaraz , Jiaqi Gong , Kristen J. Wells , Laura E. Barnes

This paper is concerned with the well-posedness of a diffusion-reaction system for a Susceptible-Exposed-Infected-Recovered (SEIR) mathematical model. This model is written in terms of four nonlinear partial differential equations with…

Analysis of PDEs · Mathematics 2023-07-26 Ferdinando Auricchio , Pierluigi Colli , Gianni Gilardi , Alessandro Reali , Elisabetta Rocca
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