2022
DOI: 10.1371/journal.pcbi.1010460
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Is cell segregation like oil and water: Asymptotic versus transitory regime

Abstract: Understanding the segregation of cells is crucial to answer questions about tissue formation in embryos or tumor progression. Steinberg proposed that separation of cells can be compared to the separation of two liquids. Such a separation is well described by the Cahn-Hilliard (CH) equations and the segregation indices exhibit an algebraic decay with exponent 1/3 with respect to time. Similar exponents are also observed in cell-based models. However, the scaling behavior in these numerical models is usually onl… Show more

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Cited by 2 publications
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“…Several coarse-graining techniques that take into account higher-order correlations between cells in on- or off-lattice models may produce scaling factors similar to those introduced in this paper, but these may only apply to certain classes of ABMs [ 88 ]. Alternatively, it may be possible to estimate scaling parameters of continuous models by investigating the convergence of EA ABM results to features of their solutions such as the speed of solution propagation, as in [ 85 , 86 ] for on-lattice models; by accounting for the dynamics of the two-particle distribution, as in [ 73 , 74 ]; or by exploring scaling relationships as in [ 89 ]. Adapting these approaches to our setting is an interesting avenue for future work.…”
Section: Discussionmentioning
confidence: 99%
“…Several coarse-graining techniques that take into account higher-order correlations between cells in on- or off-lattice models may produce scaling factors similar to those introduced in this paper, but these may only apply to certain classes of ABMs [ 88 ]. Alternatively, it may be possible to estimate scaling parameters of continuous models by investigating the convergence of EA ABM results to features of their solutions such as the speed of solution propagation, as in [ 85 , 86 ] for on-lattice models; by accounting for the dynamics of the two-particle distribution, as in [ 73 , 74 ]; or by exploring scaling relationships as in [ 89 ]. Adapting these approaches to our setting is an interesting avenue for future work.…”
Section: Discussionmentioning
confidence: 99%