Ground Vibrations Induced by High-Speed Trains in Regions with Sudden Foundation Stiffness Change

In this paper analytical transient solutions of dynamic response of one-dimensional systems with sudden change of foundation stiffness are derived. In more details, cantilever dynamic response, expressed in terms of vertical displacement, is extended to account for elastic foundation and then two cantilever solutions, corresponding to beams clamped on left and right hand side, with different value of Winkler constant are connected together by continuity conditions. The internal forces, as the unknowns, can be introduced by the same values in both clamped beam solutions and solved. Assumption about time variation of internal forces at the section of discontinuity must be adopted and originally analytical solution will have to include numerical procedure.

Fate map of zebrafish left-right organizer

The organizer is a ciliated signalling transient organ, responsible for the patterning of embryo tissues during embryonic development. In higher vertebrates, such as mouse and chick, this organizer (the node and the Hensen’s node, respectively) performs dorsalventral and anteriorposterior axis definition, as well as left-right patterning of the internal organs. In lower vertebrates, such as frog and zebrafish, there is a separate specialized organ for left-right purposes called the Gastrocoel Roof Plate (GRP) and Kupffer’s Vesicle (KV), respectively. It is known that mouse and chick organizer cells give rise to structures like floor plate, notochord, hypochord and somites. Frog GRP originates all these but floor plate. In zebrafish, at 13-14 somite stage (ss) the KV finished its left-right patterning but what happens to this organizer’ cells is still poorly studied. This research attempts to understand the fate and behaviour of the KV cells. We followed the fate of KV cells by live imaging and by tight time-courses with fixed larvae. We assessed in detail their proliferative and death profile, as well as cilia length progression from 9-10 ss until 29-30 ss. We conclude that the KV cells mostly follow the evolutionarily conserved fates described for other organizers. These cells mainly incorporate the notochord and hypochord; few cells incorporate the floor plate and the somites. As a novelty, it is also hypothesized that the hypural cell fate may be among the KV cell fates.