— We introduce a hook length expansion technique and explain how to discover old and new hook length formulas for partitions and plane trees. The new hook length formulas for trees obtained by our method can be proved rather easily, whereas those for partitions are much more difficult and some of them still remain open conjectures. We also develop a Maple package HookExp for computing the hook ...

In darkness, the dicot seedlings produce an apical hook as result of differential cell division and extension at opposite sides of the hypocotyl. This hook protects the apical meristem from mechanical damage during seedling emergence from the soil. In darkness, gibberellins act via the DELLA-PIF (PHYTOCHROME INTERACTING FACTORs) pathway, and ethylene acts via the EIN3/EIL1 (ETHYLENE INSENSITIVE...

The Mre11-Rad50-Nbs1 (MRN) complex plays critical roles in checkpoint activation and double-stranded break (DSB) repair. The Rad50 zinc hook domain mediates zinc-dependent intercomplex associations of MRN, which is important for DNA tethering. Studies in yeast suggest that the Rad50 zinc hook domain is essential for MRN functions, but its role in mammalian cells is not clear. We demonstrated th...

Growth during plant development is predominantly governed by the combined activities of cell division and cell elongation. The relative contribution of both activities controls the growth of a tissue. A fast change in growth is exhibited at the apical hypocotyl of etiolated seedlings where cells grow at different rates to form a hook-like structure, which is traditionally assumed to result from...

Schizorhynch kalyptorhynchs are meiofaunal turbellarian predators that possess an eversible proboscis that can be armed with two stout hooks. The hooks grasp and manipulate prey using a wide range of rotations and translations. These diverse motions are possible because the hook supports may function as a muscle articulation type joint-that is, a joint formed of muscle and connective tissue tha...

Watari T, et al. BMJ Case Rep 2017. doi:10.1136/bcr-2017-222987 Description An embedded fish hook injury is a tough condition for clinical decision-making, as it needs to be determined whether to advance the hook or to pull it out. Patients or their friends usually attempt to remove a fish hook, causing more soft tissue trauma. There are many different sizes and types of fish hooks, and the fou...

FlgD is known to be absolutely required for hook assembly, yet it has not been detected in the mature flagellum. We have overproduced and purified FlgD and raised an antibody against it. By using this antibody, we have detected FlgD in substantial amounts in isolated basal bodies from flgA, flgE, flgH, flgI, flgK, and fliK mutants, in much smaller amounts in those from the wild type and flgL, f...

In Salmonella, the rod substructure of the flagellum is a periplasmic driveshaft that couples the torque generated by the basal body motor to the extracellular hook and filament. The rod subunits self-assemble, spanning the periplasmic space and stopping at the outer membrane when a mature length of ~22 nm is reached. Assembly of the extracellular hook and filament follow rod completion. Hook i...

The bacterial flagellar hook connects the helical flagellar filament to the rotary motor at its base. Bending flexibility of the hook allows the helical filaments to form a bundle behind the cell body to produce thrust for bacterial motility. The hook protein FlgE shows considerable sequence and structural similarities to the distal rod protein FlgG; however, the hook is supercoiled and flexibl...

background hook plates are used to treat acromioclavicular joint dislocations. our study took into consideration the patients’ outcome following treatment with clavicular hook plates retained for more than five months. objectives our aim was to assess the response to treatment of acromioclavicular joint dislocation by clavicular hook plate when retained for more than five months. patients and m...