176 citations · 417 across the 7 of their papers we have counts for
4 papers · 1 filter
Estimation of Parameter Distributions for Reaction-Diffusion Equations with Competition using Aggregate Spatiotemporal Data
Kyle Nguyen, Erica M. Rutter, Kevin Flores
Reaction diffusion equations have been used to model a wide range of biological phenomenon related to population spread and proliferation from ecology to cancer. It is commonly ass…
Learning differential equation models from stochastic agent-based model simulations
John T. Nardini, Ruth E. Baker, Matthew J. Simpson +1
Agent-based models provide a flexible framework that is frequently used for modelling many biological systems, including cell migration, molecular dynamics, ecology, and epidemiolo…
Learning partial differential equations for biological transport models from noisy spatiotemporal data
John Lagergren, John T. Nardini, G. Michael Lavigne +2
We investigate methods for learning partial differential equation (PDE) models from spatiotemporal data under biologically realistic levels and forms of noise. Recent progress in l…
Hybrid modeling and prediction of dynamical systems
Franz Hamilton, Alun Lloyd, Kevin Flores
Scientific analysis often relies on the ability to make accurate predictions of a system's dynamics. Mechanistic models, parameterized by a number of unknown parameters, are often…