Mathematical model for cell competition

Predator-prey interactions at the interface between two groups of cells in monolayer tissue

Seiya Nishikawa, Atsuko Takamatsu, Shizue Ohsawa, Tatsushi Igaki

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    The phenomenon of 'cell competition' has been implicated in the normal development and maintenance of organs, such as in the regulation of organ size and suppression of neoplastic development. In cell competition, one group of cells competes with another group through an interaction at their interface. Which cell group "wins" is governed by a certain relative fitness within the cells. However, this idea of cellular fitness has not been clearly defined. We construct two types of mathematical models to describe this phenomenon of cell competition by considering the interaction at the interface as a predator-prey type interaction in a monolayer tissue such as epithelium. Both of these models can reproduce several typical experimental observations involving systems of mutant cells (losers) and normal cells (winners). By analyzing one of the model and defining an index for the degree of fitness in groups of cells, we show that the fate of each group mainly depends on the relative carrying capacities of certain resources and the strength of the predator-prey interaction at the interface. This contradicts the classical hypothesis in which the relative proliferation rate determines the winner.

    Original languageEnglish
    Pages (from-to)40-50
    Number of pages11
    JournalJournal of Theoretical Biology
    Volume404
    DOIs
    Publication statusPublished - 2016 Sep 7

    Fingerprint

    Predator-prey
    predator-prey relationships
    Monolayers
    Theoretical Models
    mathematical models
    Mathematical Model
    Tissue
    Mathematical models
    Cell
    Interaction
    cells
    Fitness
    tissues
    Organ Size
    Carrying Capacity
    Conservation of Natural Resources
    carrying capacity
    Proliferation
    Mutant
    Maintenance

    Keywords

    • Drosophila
    • Group fitness
    • Individual cell-based model
    • Population model
    • Tumor suppression

    ASJC Scopus subject areas

    • Applied Mathematics
    • Statistics and Probability
    • Modelling and Simulation
    • Agricultural and Biological Sciences(all)
    • Biochemistry, Genetics and Molecular Biology(all)
    • Immunology and Microbiology(all)
    • Medicine(all)

    Cite this

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    title = "Mathematical model for cell competition: Predator-prey interactions at the interface between two groups of cells in monolayer tissue",
    abstract = "The phenomenon of 'cell competition' has been implicated in the normal development and maintenance of organs, such as in the regulation of organ size and suppression of neoplastic development. In cell competition, one group of cells competes with another group through an interaction at their interface. Which cell group {"}wins{"} is governed by a certain relative fitness within the cells. However, this idea of cellular fitness has not been clearly defined. We construct two types of mathematical models to describe this phenomenon of cell competition by considering the interaction at the interface as a predator-prey type interaction in a monolayer tissue such as epithelium. Both of these models can reproduce several typical experimental observations involving systems of mutant cells (losers) and normal cells (winners). By analyzing one of the model and defining an index for the degree of fitness in groups of cells, we show that the fate of each group mainly depends on the relative carrying capacities of certain resources and the strength of the predator-prey interaction at the interface. This contradicts the classical hypothesis in which the relative proliferation rate determines the winner.",
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    AU - Nishikawa, Seiya

    AU - Takamatsu, Atsuko

    AU - Ohsawa, Shizue

    AU - Igaki, Tatsushi

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    N2 - The phenomenon of 'cell competition' has been implicated in the normal development and maintenance of organs, such as in the regulation of organ size and suppression of neoplastic development. In cell competition, one group of cells competes with another group through an interaction at their interface. Which cell group "wins" is governed by a certain relative fitness within the cells. However, this idea of cellular fitness has not been clearly defined. We construct two types of mathematical models to describe this phenomenon of cell competition by considering the interaction at the interface as a predator-prey type interaction in a monolayer tissue such as epithelium. Both of these models can reproduce several typical experimental observations involving systems of mutant cells (losers) and normal cells (winners). By analyzing one of the model and defining an index for the degree of fitness in groups of cells, we show that the fate of each group mainly depends on the relative carrying capacities of certain resources and the strength of the predator-prey interaction at the interface. This contradicts the classical hypothesis in which the relative proliferation rate determines the winner.

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