Ishihara S, Sugimura K, Cox S J, Bonnet I, Bellaïche Y, Graner F
Graduate School of Arts and Sciences, The University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo, Japan.
Eur Phys J E Soft Matter. 2013 Apr;36(4):9859. doi: 10.1140/epje/i2013-13045-8. Epub 2013 Apr 26.
In the course of animal development, the shape of tissue emerges in part from mechanical and biochemical interactions between cells. Measuring stress in tissue is essential for studying morphogenesis and its physical constraints. For that purpose, a possible new approach is force inference (up to a single prefactor) from cell shapes and connectivity. It is non-invasive and can provide space-time maps of stress in a whole tissue, unlike existing methods. To validate this approach, three force-inference methods, which differ in their approach of treating indefiniteness in an inverse problem between cell shapes and forces, were compared. Tests using two artificial and two experimental data sets consistently indicate that our Bayesian force inference, by which cell-junction tensions and cell pressures are simultaneously estimated, performs best in terms of accuracy and robustness. Moreover, by measuring the stress anisotropy and relaxation, we cross-validated the force inference and the global annular ablation of tissue, each of which relies on different prefactors. A practical choice of force-inference methods in different systems of interest is discussed.
在动物发育过程中，组织的形状部分源自细胞间的机械和生化相互作用。测量组织中的应力对于研究形态发生及其物理限制至关重要。为此，一种可能的新方法是根据细胞形状和连通性进行力推断（直至单个前置因子）。与现有方法不同，它是非侵入性的，并且可以提供整个组织中应力的时空图。为了验证这种方法，比较了三种力推断方法，它们在处理细胞形状和力之间反问题中的不确定性的方法上有所不同。使用两个人造数据集和两个实验数据集进行的测试一致表明，我们的贝叶斯力推断在准确性和稳健性方面表现最佳，通过该方法可以同时估计细胞连接张力和细胞压力。此外，通过测量应力各向异性和松弛，我们对力推断和组织的整体环形消融进行了交叉验证，它们各自依赖于不同的前置因子。讨论了在不同感兴趣系统中力推断方法的实际选择。
