Alt, S., Ganguly, P., Salbreux, G., 2017. Vertex models: from cell mechanics to tissue
morphogenesis. Phil. Trans. R. Soc. B 372, 20150520. https://doi.org/10.1098/
rstb.2015.0520.
Bardenhagen, S.G., Kober, E.M., 2004. The generalized interpolation material point
method. CMES - Comput. Model. Eng. Sci. 5, 477–495. https://doi.org/10.3970/
cmes.2004.005.477.
Chagnon, G., Rebouah, M., Favier, D., 2015. Hyperelastic energy densities for soft
biological tissues: a review. J. Elasticity 120, 129–160. https://doi.org/10.1007/
s10659-014-9508-z.
Chanet, S., Miller, C.J., Vaishnav, E.D., Ermentrout, B., Davidson, L.A., Martin, A.C.,
2017. Actomyosin meshwork mechanosensing enables tissue shape to orient cell
force. Nat. Commun. 8, 15014 https://doi.org/10.1038/ncomms15014.
Charlton, T.J., Coombs, W.M., Augarde, C.E., 2017. iGIMP: an implicit generalised
interpolation material point method for large deformations. Comput. Struct. 190,
108–125. https://doi.org/10.1016/j.compstruc.2017.05.004.
Conte, V., Munoz, J., Miodownik, M., 2008. A 3D finite element model of ventral furrow
invagination in the Drosophila melanogaster embryo. J. Mech. Behav. Biomed.
Mater. 1, 188–198. https://doi.org/10.1016/j.jmbbm.2007.10.002.
Dahl-Jensen, S., Grapin-Botton, A., 2017. The physics of organoids: a biophysical
approach to understanding organogenesis. Development 144, 946–951. https://doi.
org/10.1242/dev.143693.
Felsenthal, N., Zelzer, E., 2017. Mechanical regulation of musculoskeletal system
development. Development 144, 4271–4283. https://doi.org/10.1242/dev.151266.
Galea, G.L., Zein, M.R., Allen, S., Francis-West, P., 2021. Making and shaping
endochondral and intramembranous bones. Dev. Dynam. 250, 414–449. https://doi.
org/10.1002/dvdy.278.
Giorgi, M., Carriero, A., Shefelbine, S.J., Nowlan, N.C., 2014. Mechanobiological
simulations of prenatal joint morphogenesis. J. Biomech. 47, 989–995. https://doi.
org/10.1016/j.jbiomech.2014.01.002.
Green, J.D., Tollemar, V., Dougherty, M., Yan, Z., Yin, L., Ye, J., Collier, Z.,
Mohammed, M.K., Haydon, R.C., Luu, H.H., Kang, R., Lee, M.J., Ho, S.H., He, T.-C.,
Shi, L.L., Athiviraham, A., 2015. Multifaceted signaling regulators of
chondrogenesis: implications in cartilage regeneration and tissue engineering. Genes
Dis. 2, 307–327. https://doi.org/10.1016/j.gendis.2015.09.003.
Heer, N.C., Martin, A.C., 2017. Tension, contraction and tissue morphogenesis.
Development 144, 4249–4260. https://doi.org/10.1242/dev.151282.
Himpel, G., Kuhl, E., Menzel, A., Steinmann, P., 2005. Computational Modelling of
Isotropic Multiplicative Growth. J05-02.
Jamali, Y., Azimi, M., Mofrad, M.R.K., 2010. A sub-cellular viscoelastic model for cell
population mechanics. PLoS One 5, e12097. https://doi.org/10.1371/journal.
pone.0012097.
Katoh, H., Fujita, Y., 2012. Epithelial homeostasis: elimination by live cell extrusion.
Curr. Biol. 22, R453–R455. https://doi.org/10.1016/j.cub.2012.04.036.
Kim, J., Tomida, K., Matsumoto, T., Adachi, T., 2022. Spheroid culture for chondrocytes
triggers the initial stage of endochondral ossification. Biotech. Bioeng. ,119,
3311–3318. https://doi.org/10.1002/bit.28203.
Kronenberg, H.M., 2003. Developmental regulation of the growth plate. Nature 423,
332–336. https://doi.org/10.1038/nature01657.
Lipphaus, A., Witzel, U., 2019. Biomechanical study of the development of long bones:
finite element structure synthesis of the human second proximal phalanx under
growth conditions. Anat. Rec. 302, 1389–1398. https://doi.org/10.1002/ar.24006.
Liu, S., Ginzberg, M.B., Patel, N., Hild, M., Leung, B., Li, Z., Chen, Y.-C., Chang, N.,
Wang, Y., Tan, C., Diena, S., Trimble, W., Wasserman, L., Jenkins, J.L., Kirschner, M.
W., Kafri, R., 2018. Size uniformity of animal cells is actively maintained by a p38
MAPK-dependent regulation of G1-length. Elife 7, e26947. https://doi.org/10.7554/
eLife.26947.
Funding
This work was supported by Grant-in-Aid for Scientific Research (A)
(JP20H00659) and (C) (JP22K03827) from Japan Society for the Pro
motion of Science (JSPS); JST-CREST (JPMJCR22L5); AMED-CREST
(Mechanobiology) (JP20gm0810003); and Mori Manufacturing
Research and Technology Foundation.
Y. Yokoyama et al.
Journal of the Mechanical Behavior of Biomedical Materials 142 (2023) 105828
Trickey, W.R., Baaijens, F.P.T., Laursen, T.A., Alexopoulos, L.G., Guilak, F., 2006.
Determination of the Poisson’s ratio of the cell: recovery properties of chondrocytes
after release from complete micropipette aspiration. J. Biomech. 39, 78–87. https://
doi.org/10.1016/j.jbiomech.2004.11.006.
Trubuil, E., D’Angelo, A., Solon, J., 2021. Tissue mechanics in morphogenesis: active
control of tissue material properties to shape living organisms. Cells Dev. 168,
203777 https://doi.org/10.1016/j.cdev.2022.203777.
Vaca-Gonz´
alez, J.J., Moncayo-Donoso, M., Guevara, J.M., Hata, Y., Shefelbine, S.J.,
Garz´
on-Alvarado, D.A., 2018. Mechanobiological modeling of endochondral
ossification: an experimental and computational analysis. Biomech. Model.
Mechanobiol. 17, 853–875. https://doi.org/10.1007/s10237-017-0997-0.
Vendra, B.B., Roan, E., Williams, J.L., 2018. Chondron curvature mapping in growth
plate cartilage under compressive loading. J. Mech. Behav. Biomed. Mater. 84,
168–177. https://doi.org/10.1016/j.jmbbm.2018.05.015.
Voss-B¨
ohme, A., 2012. Multi-scale modeling in morphogenesis: a critical analysis of the
cellular Potts model. PLoS One 7, e42852. https://doi.org/10.1371/journal.
pone.0042852.
Xie, S., Skotheim, J.M., 2020. A G1 sizer coordinates growth and division in the mouse
epidermis. Curr. Biol. 30, 916–924.e2. https://doi.org/10.1016/j.cub.2019.12.062.
Yamaguchi, Y., Moriguchi, S., Terada, K., 2021. Extended B-spline-based implicit
material point method. Int. J. Numer. Methods Eng. 122, 1746–1769. https://doi.
org/10.1002/nme.6598.
Yuan, J., Li, X., Yu, S., 2023. Cancer organoid co-culture model system: novel approach
to guide precision medicine. Front. Immunol. 13, 1061388. https://doi.org/10.3389
/fimmu.2022.1061388.
Zhang, Z., Pan, Y., Wang, J., Zhang, H., Chen, Z., Zheng, Y., Ye, H., 2021. A totalLagrangian material point method for coupled growth and massive deformation of
incompressible soft materials. Num. Meth Eng. 122, 6180–6202. https://doi.org/
10.1002/nme.6787.
Lloyd, A.C., 2013. The regulation of cell size. Cell 154, 1194–1205. https://doi.org/
10.1016/j.cell.2013.08.053.
Luo, Q., Kuang, D., Zhang, B., Song, G., 2016. Cell stiffness determined by atomic force
microscopy and its correlation with cell motility. Biochim. Biophys. Acta Gen. Subj.
1860, 1953–1960. https://doi.org/10.1016/j.bbagen.2016.06.010.
Matejˇci´c, M., Trepat, X., 2022. Mechanobiological approaches to synthetic
morphogenesis: learning by building. Trends Cell Biol. 33 (2), 95–111. https://doi.
org/10.1016/j.tcb.2022.06.013.
Montes-Olivas, S., Marucci, L., Homer, M., 2019. Mathematical models of organoid
cultures. Front. Genet. 10, 873. https://doi.org/10.3389/fgene.2019.00873.
Osborne, J.M., Fletcher, A.G., Pitt-Francis, J.M., Maini, P.K., Gavaghan, D.J., 2017.
Comparing individual-based approaches to modelling the self-organization of
multicellular tissues. PLoS Comput. Biol. 13, e1005387 https://doi.org/10.1371/
journal.pcbi.1005387.
Pan, S., Yamaguchi, Y., Suppasri, A., Moriguchi, S., Terada, K., 2021. MPM–FEM hybrid
method for granular mass–water interaction problems. Comput. Mech. 68, 155–173.
https://doi.org/10.1007/s00466-021-02024-2.
Shwartz, Y., Farkas, Z., Stern, T., Asz´
odi, A., Zelzer, E., 2012. Muscle contraction controls
skeletal morphogenesis through regulation of chondrocyte convergent extension.
Dev. Biol. 370, 154–163. https://doi.org/10.1016/j.ydbio.2012.07.026.
Stomakhin, A., Schroeder, C., Chai, L., Teran, J., Selle, A., 2013. A material point method
for snow simulation. ACM Trans. Graph. 32, 1–10. https://doi.org/10.1145/
2461912.2461948.
Takeda, H., Kameo, Y., Inoue, Y., Adachi, T., 2019. An energy landscape approach to
understanding variety and robustness in tissue morphogenesis. Biomech. Model.
Mechanobiol. 19, 471–479. https://doi.org/10.1007/s10237-019-01222-5.
Townes, P.L., Holtfreter, J., 1955. Directed movements and selective adhesion of
embryonic amphibian cells. J. Exp. Zool. 128, 53–120. https://doi.org/10.1002/
jez.1401280105.
...