Benchmarking tools for a priori identifiability analysis

X Rey Barreiro, AF Villaverde - Bioinformatics, 2023 - academic.oup.com
Motivation The theoretical possibility of determining the state and parameters of a dynamic
model by measuring its outputs is given by its structural identifiability and its observability …

Distilling identifiable and interpretable dynamic models from biological data

G Massonis, AF Villaverde… - PLoS computational …, 2023 - journals.plos.org
Mechanistic dynamical models allow us to study the behavior of complex biological systems.
They can provide an objective and quantitative understanding that would be difficult to …

[HTML][HTML] A birth–death model to understand bacterial antimicrobial heteroresistance from time-kill curves

N Martínez-López, C Vilas, MR García - Mathematical Biosciences, 2024 - Elsevier
Antimicrobial heteroresistance refers to the presence of different subpopulations with
heterogeneous antimicrobial responses within the same bacterial isolate, so they show …

Endothelial cells signaling and patterning under hypoxia: a mechanistic integrative computational model including the Notch-Dll4 pathway

RHM Oliveira, BH Annex, AS Popel - Frontiers in physiology, 2024 - frontiersin.org
Introduction: Several signaling pathways are activated during hypoxia to promote
angiogenesis, leading to endothelial cell patterning, interaction, and downstream signaling …

[HTML][HTML] Controllability and accessibility analysis of nonlinear biosystems

S Díaz-Seoane, AB Blas, AF Villaverde - Computer methods and programs …, 2023 - Elsevier
Background: We address the problem of determining the controllability and accessibility of
nonlinear biosystems. We consider models described by affine-in-inputs ordinary differential …

Improving dynamic predictions with ensembles of observable models

G Massonis, AF Villaverde, JR Banga - Bioinformatics, 2023 - academic.oup.com
Motivation Dynamic mechanistic modelling in systems biology has been hampered by the
complexity and variability associated with the underlying interactions, and by uncertain and …

Parameter identifiability, parameter estimation and model prediction for differential equation models

MJ Simpson, RE Baker - arxiv preprint arxiv:2405.08177, 2024 - arxiv.org
Interpreting data with mathematical models is an important aspect of real-world applied
mathematical modeling. Very often we are interested to understand the extent to which a …

Structural identifiability of biomolecular controller motifs with and without flow measurements as model output

ES Haus, T Drengstig, K Thorsen - PLoS Computational Biology, 2023 - journals.plos.org
Controller motifs are simple biomolecular reaction networks with negative feedback. They
can explain how regulatory function is achieved and are often used as building blocks in …

Observability rank conditions for analysing practical identifiability a priori

AF Villaverde - arxiv preprint arxiv:2410.06984, 2024 - arxiv.org
The concept of identifiability describes the possibility of inferring the parameters of a
dynamic model by observing its output. It is common and useful to distinguish between …