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REFLECTION PRINCIPLES FOR GENERAL WIENER FUNCTION SPACES
Pierce, Ian,Skoug, David Korean Mathematical Society 2013 대한수학회지 Vol.50 No.3
It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.
Cand1 Promotes Assembly of New SCF Complexes through Dynamic Exchange of F Box Proteins
Pierce, Nathan W.,Lee, J.,Liu, X.,Sweredoski, Michael J.,Graham, Robert L.J.,Larimore, Elizabeth A.,Rome, M.,Zheng, N.,Clurman, Bruce E.,Hess, S.,Shan, S.o.,Deshaies, Raymond J. Cell Press ; MIT Press 2013 Cell Vol.153 No.1
The modular SCF (Skp1, cullin, and F box) ubiquitin ligases feature a large family of F box protein substrate receptors that enable recognition of diverse targets. However, how the repertoire of SCF complexes is sustained remains unclear. Real-time measurements of formation and disassembly indicate that SCF<SUP>Fbxw7</SUP> is extraordinarily stable, but, in the Nedd8-deconjugated state, the cullin-binding protein Cand1 augments its dissociation by one-million-fold. Binding and ubiquitylation assays show that Cand1 is a protein exchange factor that accelerates the rate at which Cul1-Rbx1 equilibrates with multiple F box protein-Skp1 modules. Depletion of Cand1 from cells impedes recruitment of new F box proteins to pre-existing Cul1 and profoundly alters the cellular landscape of SCF complexes. We suggest that catalyzed protein exchange may be a general feature of dynamic macromolecular machines and propose a hypothesis for how substrates, Nedd8, and Cand1 collaborate to regulate the cellular repertoire of SCF complexes.
Reflection principles for general Wiener function spaces
Ian Pierce,David Skoug 대한수학회 2013 대한수학회지 Vol.50 No.3
It is well-known that the ordinary single-parameter Wiener space exhibits a reflection principle. In this paper we establish a reflection principle for a generalized one-parameter Wiener space and apply it to the integration of a class of functionals on this space. We also discuss several notions of a reflection principle for the two-parameter Wiener space, and explore whether these actually hold.