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Supplementary Movies for "A numerical algorithm for modeling cellular rearrangements in tissue morphogenesis" by R.Z. Mohammad, H. Murakawa, K. Svadlenka, and H. Togashi

Supplementary Movie 1: Level set-based simulation of a total engulfment of the blue cell mass by the orange cell mass.

Supplementary Movie 2: Level set-based simulations of developing WT and αN-catenin KO olfactory epithelium from embryonic stages E14, E16, E18 until postnatal P1 stage using experimentally measured β-catenin intensities.

Supplementary Movie 3: Level set-based simulation of a developing olfactory epithelium using hypothetical values of interfacial tensions at postnatal stage.

Supplementary Movie 4: Level set-based simulations of cellular rearrangements of WT and Nectin-3 KO embryonic auditory epithelium from an initial aggregate of 12 HCs (orange), 12 SCs (blue), and one pillar cell (gray).

Supplementary Movie 5: An animation of auction dynamics to preserve cell volume in one time step of cellular rearrangement in a 3-cell aggregate. The video includes details of the bidding process, price and volume changes, together with nodal assignments.

Supplementary Movie 6: Wetting phenomenon in the numerical implementation of Esedoglu-Otto algorithm (left), EO scheme with auction dynamics (center), and EO scheme with localized auction dynamics (right).

Supplementary Movie 7: Nucleation phenomenon in the numerical implementation of Esedoglu-Otto algorithm (left), EO scheme with auction dynamics (center), and EO scheme with localized auction dynamics (right).

Supplementary Movie 8: Vertex dynamics vs. Level set-based model on Test Case A leading to cellular intercalation.

Supplementary Movie 9: Vertex dynamics vs. Level set-based model on Test Case B where no intercalation occurs.

Supplementary Movie 10: Vertex dynamics vs. Level set-based model on Test Case C which shortens OO-junction.

Supplementary Movie 11: Cell sorting via level set-based model.

Supplementary Movie 12: Cellular patterns via level set-based model according to hypothetical profiles of synergistic actions of nectins and cadherins.

Supplementary Movie 13: Cell internalization via level set-based algorithm.

Supplementary Movie 14: Level set-based simulations of developing auditory epithelium: WT, WT with added tension fluctuations of size up to 10%, and Nectin-3 KO with the same type of fluctuations.

Funding

JSPS Grants-in-Aid for Scientific Research (KAKENHI) [Grant Numbers 19K03634, 19H04965, 18H04764, 18H05481, 18K06219, 18H01139, 20H01823]

Grant-in-aid for JSPS Fellows [Grant Number 18F18016]

PRESTO (Precursory Research for Embryonic Science and Technology) Program [Grant Number JPMJPR1946]

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