[HTML][HTML] On structural and practical identifiability
We discuss issues of structural and practical identifiability of partially observed differential
equations which are often applied in systems biology. The development of mathematical …
equations which are often applied in systems biology. The development of mathematical …
Structural identifiability and observability of compartmental models of the COVID-19 pandemic
The recent coronavirus disease (COVID-19) outbreak has dramatically increased the public
awareness and appreciation of the utility of dynamic models. At the same time, the …
awareness and appreciation of the utility of dynamic models. At the same time, the …
Systems biology informed deep learning for inferring parameters and hidden dynamics
A Yazdani, L Lu, M Raissi… - PLoS computational …, 2020 - journals.plos.org
Mathematical models of biological reactions at the system-level lead to a set of ordinary
differential equations with many unknown parameters that need to be inferred using …
differential equations with many unknown parameters that need to be inferred using …
Identifiability analysis for stochastic differential equation models in systems biology
Mathematical models are routinely calibrated to experimental data, with goals ranging from
building predictive models to quantifying parameters that cannot be measured. Whether or …
building predictive models to quantifying parameters that cannot be measured. Whether or …
Full observability and estimation of unknown inputs, states and parameters of nonlinear biological models
In this paper, we address the system identification problem in the context of biological
modelling. We present and demonstrate a methodology for (i) assessing the possibility of …
modelling. We present and demonstrate a methodology for (i) assessing the possibility of …
A protocol for dynamic model calibration
Ordinary differential equation models are nowadays widely used for the mechanistic
description of biological processes and their temporal evolution. These models typically …
description of biological processes and their temporal evolution. These models typically …
Bayesian parameter estimation for dynamical models in systems biology
Dynamical systems modeling, particularly via systems of ordinary differential equations, has
been used to effectively capture the temporal behavior of different biochemical components …
been used to effectively capture the temporal behavior of different biochemical components …
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 …
Modeling recapitulates the heterogeneous outcomes of SARS-CoV-2 infection and quantifies the differences in the innate immune and CD8 T-cell responses between …
SARS-CoV-2 infection results in highly heterogeneous outcomes, from cure without
symptoms to acute respiratory distress and death. Empirical evidence points to the …
symptoms to acute respiratory distress and death. Empirical evidence points to the …
Differential elimination for dynamical models via projections with applications to structural identifiability
Elimination of unknowns in a system of differential equations is often required when
analyzing (possibly nonlinear) dynamical systems models, where only a subset of variables …
analyzing (possibly nonlinear) dynamical systems models, where only a subset of variables …