Moran process version of the tug-of-war model: Behavior revealed by mathematical analysis and simulation studies

dc.citation.firstpage4532en_US
dc.citation.issueNumber8en_US
dc.citation.journalTitleDiscrete and Continuous Dynamical Systems - Ben_US
dc.citation.lastpage4563en_US
dc.citation.volumeNumber28en_US
dc.contributor.authorBobrowski, Adamen_US
dc.contributor.authorKimmel, Mareken_US
dc.contributor.authorKurpas, Monika K.en_US
dc.contributor.authorRatajczyk, Elżbietaen_US
dc.date.accessioned2023-04-25T14:47:37Zen_US
dc.date.available2023-04-25T14:47:37Zen_US
dc.date.issued2023en_US
dc.description.abstractIn a series of publications McFarland and co-authors introduced the tug-of-war model of evolution of cancer cell populations. The model is explaining the joint effect of rare advantageous and frequent slightly deleterious mutations, which may be identifiable with driver and passenger mutations in cancer. In this paper, we put the tug-of-war model in the framework of a denumerable-type Moran process and use mathematics and simulations to understand its behavior. The model is associated with a time-continuous Markov Chain (MC), with a generator that can be split into a sum of the drift and selection process part and of the mutation process part. Operator semigroup theory is then employed to prove that the MC does not explode, as well as to characterize a strong-drift limit version of the MC which displays 'instant fixation' effect, which was an assumption in the original McFarland's model. Mathematical results are confirmed by simulations of the complete and limit versions. Simulations also visualize complex stochastic transients and genealogies of clones arising in the model.en_US
dc.identifier.citationBobrowski, Adam, Kimmel, Marek, Kurpas, Monika K., et al.. "Moran process version of the tug-of-war model: Behavior revealed by mathematical analysis and simulation studies." <i>Discrete and Continuous Dynamical Systems - B,</i> 28, no. 8 (2023) Amerian Institute of Mathematical Sciences: 4532-4563. https://doi.org/10.3934/dcdsb.2023029.en_US
dc.identifier.digital10-3934_dcdsb-2023029en_US
dc.identifier.doihttps://doi.org/10.3934/dcdsb.2023029en_US
dc.identifier.urihttps://hdl.handle.net/1911/114808en_US
dc.language.isoengen_US
dc.publisherAmerian Institute of Mathematical Sciencesen_US
dc.rightsThis is an open access article under the CC BY-NC-ND licenseen_US
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.titleMoran process version of the tug-of-war model: Behavior revealed by mathematical analysis and simulation studiesen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
10-3934_dcdsb-2023029.pdf
Size:
2.39 MB
Format:
Adobe Portable Document Format