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Correction: Parameter estimation for multistage clonal expansion models from cancer incidence data: A practical identifiability analysis

  • Andrew F. Brouwer,
  • Rafael Meza,
  • Marisa C. Eisenberg

Correction: Parameter estimation for multistage clonal expansion models from cancer incidence data: A practical identifiability analysis

  • Andrew F. Brouwer, 
  • Rafael Meza, 
  • Marisa C. Eisenberg
PLOS
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Table 1 and Figs 4, 5, 7, 8 and 10 are incorrect. There is an error in the value of the threshold used to calculate the confidence intervals. The authors have provided the corrected versions here.

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Table 1. Best-fit parameters and likelihood-based 95% confidence intervals.

Best-fit parameters and likelihood-based 95% confidence intervals for the fits of the two-, three-, and four-stage clonal expansion models (with parameterizations using only practically identifiable parameter combinations and given in Eqs. (2), (9), and (11) respectively) to age-specific incidence of pancreatic cancer.

https://doi.org/10.1371/journal.pcbi.1005660.t001

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Fig 4. Two-stage model profile likelihoods.

Profiles of the relative negative log-likelihood (NLL) of the two-stage clonal expansion model as each of the parameter combinations p2, q2, and νX/α are varied while the remaining parameters are fit. The gray dotted line gives the α = 0.05 threshold for simultaneous confidence intervals based on the relative negative log-likelihood. All three parameters are identifiable.

https://doi.org/10.1371/journal.pcbi.1005660.g001

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Fig 5. Three-stage model profile likelihoods.

Profiles of the relative negative log-likelihood (NLL) of the three-stage clonal expansion model as each of parameter combinations p3, q3, νX, and μ1 are varied while the remaining parameters are fit. The gray dotted line gives the α = 0.05 threshold for simultaneous confidence intervals based on the relative negative log-likelihood. Parameter combinations p3 and p4 are identifiable, while νX and μ1 are practically unidentifiable.

https://doi.org/10.1371/journal.pcbi.1005660.g002

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Fig 7. Profile likelihood for the reparameterized combination of the three-stage model.

Profile of the relative negative log-likelihood (NLL) as the parameter varied while the remaining parameters are fit in the three-stage clonal expansion model. The gray dotted line gives the α = 0.05 threshold for simultaneous confidence intervals based on the relative negative log-likelihood. Parameter combination r3 is identifiable.

https://doi.org/10.1371/journal.pcbi.1005660.g003

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Fig 8. Four-stage model profile likelihoods.

Profiles of the relative negative log-likelihood (NLL) of the four-stage clonal expansion model as each of parameter combinations p4, q4, νX, μ1, and μ2 are varied while the remaining parameters are fit. The gray dotted line gives the α = 0.05 threshold for simultaneous confidence intervals based on the relative negative log-likelihood. Parameter combinations p4 and q4 are identifiable, while νX, μ1, and μ2 are practically unidentifiable.

https://doi.org/10.1371/journal.pcbi.1005660.g004

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Fig 10. Profile likelihood for the reparameterized combination of the four-stage model.

Profile of the relative negative log-likelihood (NLL) as the parameter r4 = (νXμ1μ2)1/3 is varied while the remaining parameters are fit in the four stage clonal expansion model. The gray dotted line gives the α = 0.05 threshold for simultaneous confidence intervals based on the relative negative log-likelihood. Parameter combination r4 is identifiable.

https://doi.org/10.1371/journal.pcbi.1005660.g005

Reference

  1. 1. Brouwer AF, Meza R, Eisenberg MC (2017) Parameter estimation for multistage clonal expansion models from cancer incidence data: A practical identifiability analysis. PLOS Computational Biology 13(3): e1005431. https://doi.org/10.1371/journal.pcbi.1005431 pmid:28288156