ArticleBiometrics2009
Differential equation modeling of HIV viral fitness experiments: model identification, model selection, and multimodel inference.
Article in Biometrics, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 25 papers.
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Who cites it
25 citing papers in PubMed.
- Modelling HIV-1 2-LTR dynamics following raltegravir intensification.Journal of the Royal Society, Interface · 2013Trial
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- A modified SEIR model with a jump in the transmission parameter applied to COVID-19 data on Wuhan.Stat (International Statistical Institute) · 2022Article
- Model-informed experimental design recommendations for distinguishing intrinsic and acquired targeted therapeutic resistance in head and neck cancer.NPJ systems biology and applications · 2022Article
- Inference of dynamic systems from noisy and sparse data via manifold-constrained Gaussian processes.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- New global dynamical results and application of several SVEIS epidemic models with temporary immunity.Applied mathematics and computation · 2021Article
- A primer on model selection using the Akaike Information Criterion.Infectious Disease Modelling · 2020Article
- Developing a Minimally Structured Mathematical Model of Cancer Treatment with Oncolytic Viruses and Dendritic Cell Injections.Computational and mathematical methods in medicine · 2018Article
- Developing a Novel Parameter Estimation Method for Agent-Based Model in Immune System Simulation under the Framework of History Matching: A Case Study on Influenza A Virus Infection.International journal of molecular sciences · 2017Article
- Risk stratification in compartmental epidemic models: Where to draw the line?Journal of theoretical biology · 2017Article
- Integrating Dynamic Positron Emission Tomography and Conventional Pharmacokinetic Studies to Delineate Plasma and Tumor Pharmacokinetics of FAU, a Prodrug Bioactivated by Thymidylate Synthase.Journal of clinical pharmacology · 2016Article
- Quantifying Immune Response to Influenza Virus Infection via Multivariate Nonlinear ODE Models with Partially Observed State Variables and Time-Varying Parameters.Statistics in biosciences · 2015Article
- Article
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- Factors affecting relative fitness measurements in pairwise competition assays of human immunodeficiency viruses.Journal of virological methods · 2013Article
- An evolutionary firefly algorithm for the estimation of nonlinear biological model parameters.PloS one · 2013Article
- An improved swarm optimization for parameter estimation and biological model selection.PloS one · 2013Article
- Evaluation of multitype mathematical models for CFSE-labeling experiment data.Bulletin of mathematical biology · 2012Article
- HIV model parameter estimates from interruption trial data including drug efficacy and reservoir dynamics.PloS one · 2012Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
4 authors.
Funding
Abstract
Many biological processes and systems can be described by a set of differential equation (DE) models. However, literature in statistical inference for DE models is very sparse. We propose statistical estimation, model selection, and multimodel averaging methods for HIV viral fitness experiments in vitro that can be described by a set of nonlinear ordinary differential equations (ODE). The parameter identifiability of the ODE models is also addressed. We apply the proposed methods and techniques to experimental data of viral fitness for HIV-1 mutant 103N. We expect that the proposed modeling and inference approaches for the DE models can be widely used for a variety of biomedical studies.
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