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20142023
most citedBiologically-informed neural networks guide mechanistic modeling from sparse experimental data

176 citations · 683 across the 36 of their papers we have counts for

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Showing 2020Show all

7 papers · 1 filter

math.DS2020★ 63 cited

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…

physics.bio-ph2020★ 17 cited

Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media

Matthew J Simpson, Alexander P Browning, Christopher Drovandi +3

We compute profile likelihoods for a stochastic model of diffusive transport motivated by experimental observations of heat conduction in layered skin tissues. This process is mode…

physics.soc-ph2020

Crowded transport within networked representations of complex geometries

Daniel B. Wilson, Francis G. Woodhouse, Matthew J. Simpson +1

Transport in crowded, complex environments occurs across many spatial scales. Geometric restrictions can hinder the motion of individuals and, combined with crowding between indivi…

q-bio.QM2020★ 176 cited

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

John H. Lagergren, John T. Nardini, Ruth E. Baker +2

Biologically-informed neural networks (BINNs), an extension of physics-informed neural networks [1], are introduced and used to discover the underlying dynamics of biological syste…

nlin.PS2020★ 14 cited

Travelling waves in a free boundary mechanobiological model of an epithelial tissue

Ryan J Murphy, Pascal R Buenzli, Ruth E Baker +1

We consider a free boundary model of epithelial cell migration with logistic growth and nonlinear diffusion induced by mechanical interactions. Using numerical simulations, phase p…

q-bio.QM2020

Efficiently simulating discrete-state models with binary decision trees

Christopher Lester, Ruth E. Baker, Christian A. Yates

Stochastic simulation algorithms (SSAs) are widely used to numerically investigate the properties of stochastic, discrete-state models. The Gillespie Direct Method is the pre-emine…

stat.CO2020★ 5 cited

Multifidelity Approximate Bayesian Computation with Sequential Monte Carlo Parameter Sampling

Thomas P. Prescott, Ruth E. Baker

Multifidelity approximate Bayesian computation (MF-ABC) is a likelihood-free technique for parameter inference that exploits model approximations to significantly increase the spee…