We describe homotopy-based computational parallel algorithms for solving for all the roots of a system of algebraic polynomial equations. We also present convenient polynomial representations of the load flow equations of power systems. The algorithm techniques are then applied to obtain all steady state solutions of the load flow for 5-bus and 7-bus power system networks. A special probability-one homotopy method is tailored for the load flow to reduce the computational complexity while still guaranteeing the finding of all solutions computationally. More importantly and practically, numerical implementation of the solution procedures exploit inherent parallelism in the load flow equations to be. efficiently executed on massively parallel distributed-memory multiprocessors.
The AAA-ATPase TRIP13 drives multiple myeloma progression. Here, we present the crystal structure of wild-type human TRIP13 at a resolution of 2.6 Å. A small-molecule inhibitor targeting TRIP13 was identified on the basis of the crystal structure. The inhibitor, designated DCZ0415, was confirmed to bind TRIP13 using pull-down, nuclear magnetic resonance spectroscopy, and surface plasmon resonance-binding assays. DCZ0415 induced antimyeloma activity in vitro, in vivo, and in primary cells derived from drug-resistant patients with myeloma.The inhibitor impaired nonhomologous end joining repair and inhibited NF-kB activity. Moreover, combining DCZ0415 with the multiple myeloma chemotherapeutic melphalan or the HDAC inhibitor panobinostat induced synergistic antimyeloma activity. Therefore, targeting TRIP13 may be an effective therapeutic strategy for multiple myeloma, particularly refractory or relapsed multiple myeloma.Significance: These findings identify TRIP13 as a potentially new therapeutic target in multiple myeloma.
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