Early in mammalian epidermal development, basal epidermal progenitor cells utilize packing and three-dimensional geometry, rather than cortical polarity cues, to inform division orientation and progenitor cell fate.
Restoration of molecular and morphological symmetry and mechanical integrity following epithelial fusion relies on adaptive changes that are mediated by cytoskeletal tension and Bazooka dependent modulation of fusing interface geometry.
Empirical evidence suggests that the hippocampus constructs maps of spatial environments based on the relative locations of places (i.e., topology), rather than absolute distances and coordinates (i.e., geometry).
Mathematical methods based on geometry that directly embody the developmental concepts of competency, commitment, and determination provide succinct descriptions of morphogenesis and allow quantitative predictions from fits to sparse genetic data in Caenorhabditis elegans.
Propagation, speed and shapes of genetic waves of expression during development can be modeled by a simple interplay between two transcriptional modules (dynamic/static), which explains robustness and precision of patterning.
A new biophysical model enables the reconciliation of ultrastructural and tissue level measurements on parameters affecting intercellular communication, and provides novel functional insight into experimental findings.