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Correction: Nonequilibrium Population Dynamics of Phenotype Conversion of Cancer Cells

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The image for Fig. 1, “Schematic illustration of a cell population dynamics with three distinct cell states,” is incorrect. Please see the corrected here Fig. 1.

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Fig 1. Schematic illustration of a cell population dynamics with three distinct cell states.

A. Three cell states a,b,c with distinct gene expression (xa,ya),(xb,yb) and (xc,yc). B. The gene regulatory circuit of X and Y determines three cell states a,b,c. C. Each state is associated with a growth rate ga,gb,gc respectively. Three states transition to each other with the interconversion rates kab,kba,kac,kca,kbc,kcb.

https://doi.org/10.1371/journal.pone.0118133.g001

There is an error in the first sentence of the seventh paragraph of subsection “Elementary model: two-phenotype cell population dynamics” of section “Cell Population Model for Transition and Growth Dynamics: Two-Phenotypes”. The correct sentence is: We can determine the population ratio r between the two subpopulations in this regime.

The image for Fig. 3, “HL60 cell population dynamics,” is incorrect. Please see the corrected here Fig. 3.

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Fig 3. HL60 cell population dynamics.

Leukemia cell line HL60 has two subpopulations, MDRHigh and MDRLow, based on their abilities to retain CalceinAM fluorescent dye (flow cytometry profiles), as measured by flow cytometry. The flow cytometry histograms correspond to a snapshot of the cell population at a given time point. In this particular case the parameter is the accumulation of a fluorescent dye, CalceinAM, which works as a surrogate for ABC transporters activity and multidrug resistance: if the cells retain the dye, ABC transporters are not active and the cell is sensitive to drug; if the cells do not accumulate the dye, ABC transporters are active and the cell is resistant to drug treatment. A. In the absence of drug the two subpopulations co-exist at a stable cell ratio, MDRHigh = 2% and MDRLow = 98%. B. When the cells are treated with 10 nM of vincristine for 72 h the proportions change to MDRHigh = 40% and MDRLow = 60%. For further details please refer to Pisco et al [17].

https://doi.org/10.1371/journal.pone.0118133.g002

The image for Fig. 4, “Three-phenotypic breast cancer cell population dynamics with both growth and transition from model simulation,” is incorrect. Please see the corrected here Fig. 4.

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Fig 4. Three-phenotypic breast cancer cell population dynamics with both growth and transition from model simulation.

A. Illustration of cell growth and transition for breast cancer cell line with three distinct cell phenotypes: luminal cell, basal cell and mammary stem cell. B1-B6. After FACS sorting, each isolated subpopulation of cell line SUM159, stem-like, basal and luminal cells, re-equilibrate to the stable cell-state ratio r*. Upper panels are the dynamics for cell numbers of three subpopulations; Lower panels are the dynamics for the cell ratios of three subpopulations. C1-C6. After FACS sorting, each isolated subpopulation of cell line SUM149, stem-like, basal and luminal cells, re-equilibrate to the stable cell-state ratio r* Upper panels are the dynamics for cell numbers of three subpopulations; Lower panels are the dynamics for the cell ratios of three subpopulations.

https://doi.org/10.1371/journal.pone.0118133.g003

There are errors in the Author Contributions. The correct contributions are: Conceived and designed the experiments: JZ, HQ and SH. Performed the experiments: JZ and AOP. Analyzed the data: JZ and AOP. Contributed reagents/materials/analysis tools: HQ and AOP. Wrote the paper: JZ and AOP. All authors participated in editing the manuscript.

Reference

  1. 1. Zhou JX, Pisco AO, Qian H, Huang S (2014) Nonequilibrium Population Dynamics of Phenotype Conversion of Cancer Cells. PLoS ONE 9(12): e110714. pmid:25438251