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Benchmarking tools for a priori identifiability analysis
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 …
model by measuring its outputs is given by its structural identifiability and its observability …
Distilling identifiable and interpretable dynamic models from biological data
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 …
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
Antimicrobial heteroresistance refers to the presence of different subpopulations with
heterogeneous antimicrobial responses within the same bacterial isolate, so they show …
heterogeneous antimicrobial responses within the same bacterial isolate, so they show …
ASAS-NANP symposium: mathematical modeling in animal nutrition: the power of identifiability analysis for dynamic modeling in animal science: a practitioner …
Constructing dynamic mathematical models of biological systems requires estimating
unknown parameters from available experimental data, usually using a statistical fitting …
unknown parameters from available experimental data, usually using a statistical fitting …
Endothelial cells signaling and patterning under hypoxia: a mechanistic integrative computational model including the Notch-Dll4 pathway
Introduction: Several signaling pathways are activated during hypoxia to promote
angiogenesis, leading to endothelial cell patterning, interaction, and downstream signaling …
angiogenesis, leading to endothelial cell patterning, interaction, and downstream signaling …
[HTML][HTML] Controllability and accessibility analysis of nonlinear biosystems
Background: We address the problem of determining the controllability and accessibility of
nonlinear biosystems. We consider models described by affine-in-inputs ordinary differential …
nonlinear biosystems. We consider models described by affine-in-inputs ordinary differential …
Improving dynamic predictions with ensembles of observable models
Motivation Dynamic mechanistic modelling in systems biology has been hampered by the
complexity and variability associated with the underlying interactions, and by uncertain and …
complexity and variability associated with the underlying interactions, and by uncertain and …
Parameter identifiability, parameter estimation and model prediction for differential equation models
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 …
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
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 …
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 …
dynamic model by observing its output. It is common and useful to distinguish between …