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Emicizumab binds to activated factor IX and factor X, reproducing the bridging function of the missing factor VIII. In a trial of emicizumab prophylaxis, emicizumab every 1 or 2 weeks led to a lower bleeding rate than no prophylaxis.

SummaryA 60-year-old man presented with purpura fulminans involving his chest and flank. He was subsequently found to have active ulcerative colitis (UC) and protein S deficiency. He was treated with heparin and plasma, but because of persistent colitis and progressively worsening purpura, a total colectomy was performed on hospital day 17. This report describes an interesting case of purpura fulminans associated with the hypercoagulable state of active UC that responded dramatically to colectomy.

Spectral functions of symmetric matrices -- those depending on matrices only through their eigenvalues -- appear often in optimization. A cornerstone variational analytic tool for studying such functions is a formula relating their subdifferentials to the subdifferentials of their diagonal restrictions. This paper presents a new, short, and revealing derivation of this result. We then round off the paper with an illuminating derivation of the second derivative of twice differentiable spectral functions, highlighting the underlying geometry. All of our arguments have direct analogues for spectral functions of Hermitian matrices, and for singular value functions of rectangular matrices.