Learning differential equation models from stochastic agent-based model simulations

JT Nardini, RE Baker… - Journal of the Royal …, 2021 - royalsocietypublishing.org
Agent-based models provide a flexible framework that is frequently used for modelling many
biological systems, including cell migration, molecular dynamics, ecology and epidemiology …

Development of a hybrid model for a partially known intracellular signaling pathway through correction term estimation and neural network modeling

D Lee, A Jayaraman, JS Kwon - PLoS Computational Biology, 2020 - journals.plos.org
Developing an accurate first-principle model is an important step in employing systems
biology approaches to analyze an intracellular signaling pathway. However, an accurate first …

Biologically-informed neural networks guide mechanistic modeling from sparse experimental data

JH Lagergren, JT Nardini, RE Baker… - PLoS computational …, 2020 - journals.plos.org
Biologically-informed neural networks (BINNs), an extension of physics-informed neural
networks, are introduced and used to discover the underlying dynamics of biological …

Frequently asked questions about nonlinear dynamics and empirical dynamic modelling

SB Munch, A Brias, G Sugihara… - ICES Journal of Marine …, 2020 - academic.oup.com
Complex nonlinear dynamics are ubiquitous in marine ecology. Empirical dynamic
modelling can be used to infer ecosystem dynamics and species interactions while making …

[PDF][PDF] A tutorial review of mathematical techniques for quantifying tumor heterogeneity

R Everett, KB Flores, N Henscheid… - Mathematical …, 2020 - par.nsf.gov
Intra-tumor and inter-patient heterogeneity are two challenges in developing mathematical
models for precision medicine diagnostics. Here we review several techniques that can be …

Nonparametric data assimilation scheme for land hydrological applications

M Khaki, F Hamilton, E Forootan, I Hoteit… - Water Resources …, 2018 - Wiley Online Library
Data assimilation, which relies on explicit knowledge of dynamical models, is a well‐known
approach that addresses models' limitations due to various reasons, such as errors in input …

[图书][B] Satellite remote sensing in hydrological data assimilation

M Khaki - 2020 - Springer
Development of satellite remote sensing data has provided a unique opportunity to improve
our understanding of Earth and its hydrological processes. This is especially of interest due …

Interpretable, non-mechanistic forecasting using empirical dynamic modeling and interactive visualization

L Mason, A Berrington de Gonzalez, M Garcia-Closas… - Plos one, 2023 - journals.plos.org
Forecasting methods are notoriously difficult to interpret, particularly when the relationship
between the data and the resulting forecasts is not obvious. Interpretability is an important …

Forecasting the COVID-19 Pandemic: Lessons learned and future directions

S Sundar, P Schwab, JZH Tan, S Romero-Brufau… - medRxiv, 2021 - medrxiv.org
I. Abstract The Coronavirus Disease 2019 (COVID-19) has demonstrated that accurate
forecasts of infection and mortality rates are essential for informing healthcare resource …

Generalized temperature-driven insect population dynamics model–a mechanistic approach

D Delay - 2023 - zone.biblio.laurentian.ca
Demand for computer models that simulate insect population dynamics is growing due to
many factors including increased pressure on natural resources and climate change …