Beloussov, L.V., Dorfman, J.G., and Cherdantzev V.G., Mechanical stresses and morphological patterns in amphibian embryos, J. Embr. Exp. Morphol., 1975, vol. 34, pp. 559–574.
Keller, R., Davidson, L.A., and Shook, D.R., How we are shaped: The biomechanics of gastrulation, Differentiation, 2003, vol. 71, pp. 171–205.
Mammoto, T. and Ingber, D.E., Mechanical control of tissue and organ development, Development, 2010, vol. 137, no. 9, pp. 1407–1420.
Steinberg, M.S. and Wiseman, L.L., Do morphogenetic tissue rearrangements require active cell movements? J. Cell Biol., 1972, vol. 55, pp. 606–615.
Foty, R.A. and Steinberg, M.S., Cadherin-mediated cell-cell adhesion and tissue segregation in relation to malignancy, Int. J. Dev. Biol., 2004, vol. 48, pp. 397–409.
Mehes, E. and Viscek, T., Segregation mechanisms of tissue cells: from experimental data to models, Complex
Adapt. Syst. Model., 2013, vol. 1, p. 4.
Mehes, E. and Viscek, T., Collective motion of cells: from experiments to models, Integr. Biol., 2014, vol. 6, no. 9, pp. 831–854.
Graner, F. and Glazier, J.A., Simulation of biological cell sorting using a two-dimensional extended Potts model, Phys. Rev. Lett., 1992, vol. 69, pp. 2013–2016.
Glazier, J.A. and Graner, F., Simulation of the differential adhesion driven rearrangement of biological cells, Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics, 1993, vol. 47, pp. 2128–2154.
Krieg, M., Arboleda-Estudillo, Y., Puech, P.H., et al., Tensile forces govern germ-layer organization in zebrafish, Nat. Cell Biol., 2008, vol. 10, pp. 429–436.
Zhang, Y., Thomas, G.L., Swat, M., et al., Computer simulations of cell sorting due to differential adhesion, PLoS One, 2011, vol. 6, p. e24999.
Brodland, G.W. and Chen, H.H., The mechanics of heterotypic cell aggregates: insights from computer simulations, J. Biomech. Eng., 2000, vol. 122, pp. 402–407.
Brodland, G.W., The differential interfacial tension hypothesis (DITH): a comprehensive theory for the self-rearrangement of embryonic cells and tissues, J. Biomech. Eng., 2002, vol. 124, pp. 188–197.
Fletcher, A.G., Osborne, J.M., Maini, P.K., and Gavaghan, D.J., Implementing vertex dynamics models of cell populations in biology within a consistent computational framework,” Prog. Biophys. Mol. Biol., 2013, vol. 113, pp. 299–326.
Katsunuma, S., Honda, H., Shinoda, T., et al., Synergistic action of nectins and cadherins generates the mosaic cellular pattern of the olfactory epithelium, J. Cell Biol., 2016, vol. 212, pp. 561–575.
Tanaka, S., Simulation frameworks for morphogenetic problems, Computation, 2015, vol. 3, pp. 197–221.
Osborne, J.M., Fletcher, A.G., Pitt-Francis, J.M., et al., Comparing individual-based approaches to modelling the self-organization of multicellular tissues, PLoS Comput. Biol., 2017, vol. 13, p. e1005387.
Camley, B.A. and Rappel, W.J., Physical models of collective cell motility: from cell to tissue, J. Phys. D Appl. Phys., 2017, vol. 50, p. 113002.
Armstrong, N.J., Painter, K.J., and Sherratt, J.A., A continuum approach to modelling cell-cell adhesion, J. Theor. Biol., 2006, vol. 243, no. 1, pp. 98–113.
Painter, K.J., Bloomfield, J.M., Sherratt, J.A., and Gerisch, A., A nonlocal model for contact attraction and repulsion in heterogeneous cell populations, Bull. Math. Biol., 2015, vol. 77, pp. 1132–1165.
Murakawa, H. and Togashi, H., Continuous models for cell–cell adhesion, J. Theor. Biol., 2015, vol. 374, pp. 1–12.
Carrillo, J.A., Murakawa, H., Sato, M., et al. A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation, J. Theor. Biol., 2019, vol. 474, pp. 14–24.
Stein, A.A., Logvenkov, S.A., and Volodyaev, I.V., Continuum modeling of mechano-dependent reactions in tissues composed of mechanically active cells, BioSystems, 2018, vol. 173, pp. 225–234.
Logvenkov, S.A. and Stein, A.A., Continuum modeling of the biological medium composed of actively interacting cells of two different types, Fluid Dynamics, 2020, vol. 55, no. 6, pp. 721–734.
Beloussov, L.V., Logvenkov, S.A., and Stein, A.A., Mathematical model of an active biological continuous medium with account for the deformations and rearrangements of the cells, Fluid Dynamics, 2015, vol. 50, no. 1, pp. 1–9.
Korn, G.A. and Korn T.M., Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York et al., 1968).
Samarskii, A.A., The Theory of Difference Schemes (Nauka, Moscow, 1977) [in Russian].
Harten, A., High resolution schemes for hyperbolic conservation laws, J. Comput. Phys., 1983, vol. 49, no. 3, pp. 357–393.
Chirkov, D.V. and Chernyi, S.G., Comparison of accuracy and convergence of some TVD schemes, Vychislitelnye
Tekhnologii, 2000, vol. 5, no. 5, pp. 86–107.