The surface tensions of non-hydrogen-bonding, organic liquids can be accurately calculated from their electromagnetic properties, using an approximate form of the Lifshitz theory. A simple extension of this approach to the calculation of the surface tensions of hydrogen-bonding liquids is proposed. It is shown that the higher surface tensions of hydrogen-bonding liquids can be accounted for, with reasonable accuracy, by the increase in dispersion due to the shortened distance of approach between hydrogen-bonded atoms. Similar considerations allow calculations of contact angles on several low-energy solid surfaces in terms of molecular and electromagnetic properties. In accordance with well-known experimental observations, the calculated contact angles of both hydrogen-bonding and non-hydrogen-bonding liquids on the same low-energy surface nearly follow a single, smooth pattern.
Adhesion differences between cell populations are in principle a source of strong morphogenetic forces promoting cell sorting, boundary formation and tissue positioning, and cadherins are main mediators of cell adhesion. However, a direct link between cadherin expression, differential adhesion, and morphogenesis has not yet been determined for a specific process in vivo. To provide such a connection, we modulated the expression of C-cadherin in the Xenopus gastrula, and combined this with direct measurements of cell adhesion-related parameters. Our results show that gastrulation is surprisingly tolerant of overall changes in adhesion. Also, as expected, experimentally generated, cadherin-based adhesion differences promote cell sorting in vitro. Importantly, however, such differences do not lead to the sorting of cells in the embryo, showing that differential adhesion is not sufficient to drive morphogenesis in this system. Compensatory recruitment of cadherin protein to contacts between cadherin-deprived and -overexpressing cells could contribute to the prevention of sorting in vivo.
Morphogenetic processes often involve the rapid rearrangement of cells held together by mutual adhesion. The dynamic nature of this adhesion endows tissues with liquid-like properties, such that large-scale shape changes appear as tissue flows. Generally, the resistance to flow (tissue viscosity) is expected to depend on the cohesion of a tissue (how strongly its cells adhere to each other), but the exact relationship between these parameters is not known. Here, we analyse the link between cohesion and viscosity to uncover basic mechanical principles of cell rearrangement. We show that for vertebrate and invertebrate tissues, viscosity varies in proportion to cohesion over a 200-fold range of values. We demonstrate that this proportionality is predicted by a cell-based model of tissue viscosity. To do so, we analyse cell adhesion in Xenopus embryonic tissues and determine a number of parameters, including tissue surface tension (as a measure of cohesion), cell contact fluctuation and cortical tension. In the tissues studied, the ratio of surface tension to viscosity, which has the dimension of a velocity, is 1.8 µm/min. This characteristic velocity reflects the rate of cell-cell boundary contraction during rearrangement, and sets a limit to rearrangement rates. Moreover, we propose that, in these tissues, cell movement is maximally efficient. Our approach to cell rearrangement mechanics links adhesion to the resistance of a tissue to plastic deformation, identifies the characteristic velocity of the process, and provides a basis for the comparison of tissues with mechanical properties that may vary by orders of magnitude.
Cranial neural crest (CNC) cells migrate extensively, typically in a pattern of cell streams. In Xenopus, these cells express the adhesion molecule Xcadherin-11 (Xcad-11) as they begin to emigrate from the neural fold. In order to study the function of this molecule, we have overexpressed wild-type Xcad-11 as well as Xcad-11 mutants with cytoplasmic (deltacXcad-11) or extracellular (deltaeXcad-11) deletions. Green fluorescent protein (GFP) was used to mark injected cells. We then transplanted parts of the fluorescent CNC at the premigratory stage into non-injected host embryos. This altered not only migration, but also the expression of neural crest markers. Migration of transplanted cranial neural crest cells was blocked when full-length Xcad-11 or its mutant lacking the beta-catenin-binding site (deltacXcad-11) was overexpressed. In addition, the expression of neural crest markers (AP-2, Snail and twist) diminished within the first four hours after grafting, and disappeared completely after 18 hours. Instead, these grafts expressed neural markers (2G9, nrp-I and N-Tubulin). Beta-catenin co-expression, heterotopic transplantation of CNC cells into the pharyngeal pouch area or both in combination failed to prevent neural differentiation of the grafts. By contrast, deltaeXcad-11 overexpression resulted in premature emigration of cells from the transplants. The AP-2 and Snail patterns remained unaffected in these migrating grafts, while twist expression was strongly reduced. Co-expression of deltaeXcad-11 and beta-catenin was able to rescue the loss of twist expression, indicating that Wnt/beta-catenin signalling is required to maintain twist expression during migration. These results show that migration is a prerequisite for neural crest differentiation. Endogenous Xcad-11 delays CNC migration. Xcad-11 expression must, however, be balanced, as overexpression prevents migration and leads to neural marker expression. Although Wnt/beta-catenin signalling is required to sustain twist expression during migration, it is not sufficient to block neural differentiation in non-migrating grafts.
