Crucial crossing

Dbx1 triggers crucial molecular programs required for midline crossing by midbrain commissural axons.

Axon guidance by commissural neurons has been well documented, providing us with a molecular logic of how midline crossing is achieved during development. Despite these advances, knowledge of the intrinsic genetic programs is still limited and it remains obscure whether the expression of a single transcription factor is sufficient to activate transcriptional programs that ultimately enable midl...

Crossing technique in cowpeas

Trichoepithelioma: A Rare but Crucial Dermatologic Issue

BACKGROUND Trichoepithelioma is a rare benign skin lesion that originates from hair follicles. Trichoepitheliomas are mostly seen in the scalp, nose, forehead, and upper lip. METHODS We present a large family of Iranian origin with 15 individuals affected with multiple familial trichoepithelioma in four generations, and treated with three different methods. RESULTS Trichoepithelioma is his...

Non-Crossing Frameworks with Non-Crossing Reciprocals

We study non-crossing frameworks in the plane for which the classical reciprocal on the dual graph is also non-crossing. We give a complete description of the self-stresses on non-crossing frameworks G whose reciprocals are non-crossing, in terms of: the types of faces (only pseudo-triangles and pseudo-quadrangles are allowed); the sign patterns in the stress on G; and a geometric condition on ...

Odd Crossing Number Is Not Crossing Number

The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the number of pairs of edges that intersect an odd number of times, we obtain the odd crossing number. We show that there is a graph for which these two concepts differ, answering a well-known open question on crossing numbe...