Works (8)

Updated: April 11th, 2023 10:13

2021 review

Learning differential equation models from stochastic agent-based model simulations

[Review of ]. JOURNAL OF THE ROYAL SOCIETY INTERFACE, 18(176).

By: J. Nardini, R. Baker*, M. Simpson* & K. Flores

author keywords: agent-based models; differential equations; equation learning; population dynamics; disease dynamics
Source: Web Of Science
Added: April 12, 2021

2021 journal article

Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis

PLOS COMPUTATIONAL BIOLOGY, 17(6).

By: J. Nardini, B. Stolz*, K. Flores, H. Harrington* & H. Byrne*

Source: Web Of Science
Added: July 19, 2021

2020 review

A tutorial review of mathematical techniques for quantifying tumor heterogeneity

[Review of ]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 17(4), 3660–3709.

By: R. Everett, K. Flores, N. Henscheid, J. Lagergren, K. Larripa, D. Li, J. Nardini, P. Nguyen, E. Pitman, E. Rutter

author keywords: cancer heterogeneity; mathematical oncology; tumor growth; glioblastoma multiforme; virtual populations; nonlinear mixed effects; spatiotemporal data; Bayesian estimation; generative; adversarial networks; non-parametric estimation; variational autoencoders; machine learning
Source: Web Of Science
Added: August 3, 2020

2020 journal article

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

PLOS COMPUTATIONAL BIOLOGY, 16(12).

By: J. Lagergren, J. Nardini, R. Baker*, M. Simpson* & K. Flores

Source: Web Of Science
Added: January 4, 2021

2020 journal article

Learning Equations from Biological Data with Limited Time Samples

BULLETIN OF MATHEMATICAL BIOLOGY, 82(9).

By: J. Nardini, J. Lagergren, A. Hawkins-Daarud*, L. Curtin*, B. Morris*, E. Rutter*, K. Swanson*, K. Flores

author keywords: Equation learning; Numerical differentiation; Sparse regression; Model selection; Partial differential equations; Parameter estimation; Population dynamics; Glioblastoma multiforme
Source: Web Of Science
Added: September 28, 2020

2020 journal article

Learning partial differential equations for biological transport models from noisy spatio-temporal data

By: J. Lagergren, J. Nardini, G. Michael Lavigne n, E. Rutter & K. Flores

author keywords: numerical differentiation; equation learning; sparse regression; partial differential equations; parameter estimation; biological transport
Source: Web Of Science
Added: March 30, 2020

2019 journal article

The influence of numerical error on parameter estimation and uncertainty quantification for advective PDE models

INVERSE PROBLEMS, 35(6).

By: J. Nardini & D. Bortz

author keywords: inverse problems; numerical analysis; uncertainty quantification; autocorrelation
Source: Web Of Science
Added: June 17, 2019

2013 journal article

Quantifying CFSE label decay in flow cytometry data

APPLIED MATHEMATICS LETTERS, 26(5), 571–577.

author keywords: Carboxyfluorescein succinimidyl ester (CFSE); Ordinary differential equation models; Inverse problems; Exponential decay; Gompertz growth; Akiake Information
Source: Web Of Science
Added: August 6, 2018