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Record 1 of 3: FN ISI Export Format VR 1.0 PT J AU Bass, RF Burdzy, K Chen, ZQ Hairer, M AF Bass, Richard F. Burdzy, Krzysztof Chen, Zhen-Qing Hairer, Martin TI Stationary distributions for diffusions with inert drift SO PROBABILITY THEORY AND RELATED FIELDS LA English DT Article ID REFLECTING BROWNIAN-MOTION; STOCHASTIC DIFFERENTIAL-EQUATIONS; SELF-INTERACTING DIFFUSIONS; CONVERGENCE; UNIQUENESS; DOMAINS AB Consider reflecting Brownian motion in a bounded domain in R-d that acquires drift in proportion to the amount of local time spent on the boundary of the domain. We show that the stationary distribution for the joint law of the position of the reflecting Brownian motion and the value of the drift vector has a product form. Moreover, the first component is uniformly distributed on the domain, and the second component has a Gaussian distribution. We also consider more general reflecting diffusions with inert drift as well as processes where the drift is given in terms of the gradient of a potential. C1 [Burdzy, Krzysztof; Chen, Zhen-Qing] Univ Washington, Dept Math, Seattle, WA 98195 USA. [Bass, Richard F.] Univ Connecticut, Dept Math, Storrs, CT 06269 USA. [Hairer, Martin] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England. RP Burdzy, K, Univ Washington, Dept Math, Seattle, WA 98195 USA. EM bass@math.uconn.edu burdzy@math.washington.edu zchen@math.washington.edu M.Hairer@Warwick.ac.uk FU NSF [DMS-0601783, DMS-0600206]; EPSRC [EP/D071593/] FX Research supported in part by NSF Grants DMS-0601783 and DMS-0600206 and by EPSRC Grant EP/D071593/. NR 36 TC 0 PU SPRINGER PI NEW YORK PA 233 SPRING ST, NEW YORK, NY 10013 USA SN 0178-8051 J9 PROBAB THEORY RELAT FIELD JI Probab. Theory Relat. Field PD JAN PY 2010 VL 146 IS 1-2 BP 1 EP 47 DI 10.1007/s00440-008-0182-6 PG 47 SC Statistics & Probability GA 504AR UT ISI:000270585500001 ER EF Record 2 of 3: FN ISI Export Format VR 1.0 PT J AU Oehler, VG Yeung, KY Choi, YE Bumgarner, RE Raftery, AE Radich, JP AF Oehler, Vivian G. Yeung, Ka Yee Choi, Yongjae E. Bumgarner, Roger E. Raftery, Adrian E. Radich, Jerald P. TI The derivation of diagnostic markers of chronic myeloid leukemia progression from microarray data SO BLOOD LA English DT Article ID IMATINIB RESISTANCE; BREAST-CANCER; EXPRESSION; CLASSIFICATION; CML; MULTICLASS; PREDICTION; SELECTION; SURVIVAL; BCR/ABL AB Currently, limited molecular markers exist that can determine where in the spectrum of chronic myeloid leukemia (CML) progression an individual patient falls at diagnosis. Gene expression profiles can predict disease and prognosis, but most widely used microarray analytical methods yield lengthy gene candidate lists that are difficult to apply clinically. Consequently, we applied a probabilistic method called Bayesian model averaging (BMA) to a large CML microarray dataset. BMA, a supervised method, considers multiple genes simultaneously and identifies small gene sets. BMA identified 6 genes (NOB1, DDX47, IGSF2, LTB4R, SCARB1, and SLC25A3) that discriminated chronic phase (CP) from blast crisis (BC) CML. In CML, phase labels divide disease progression into discrete states. BMA, however, produces posterior probabilities between 0 and 1 and predicts patients in "intermediate" stages. In validation studies of 88 patients, the 6-gene signature discriminated early CP from late CP, accelerated phase, and BC. This distinction between early and late CP is not possible with current classifications, which are based on known duration of disease. BMA is a powerful tool for developing diagnostic tests from microarray data. Because therapeutic outcomes are so closely tied to disease phase, these probabilities can be used to determine a risk-based treatment strategy at diagnosis. (Blood. 2009; 114: 3292-3298) C1 [Oehler, Vivian G.; Choi, Yongjae E.; Radich, Jerald P.] Fred Hutchinson Canc Res Ctr, Div Clin Res, Seattle, WA 98109 USA. [Yeung, Ka Yee; Bumgarner, Roger E.] Univ Washington, Dept Microbiol, Seattle, WA 98195 USA. [Raftery, Adrian E.] Univ Washington, Dept Stat, Seattle, WA 98195 USA. RP Oehler, VG, Fred Hutchinson Canc Res Ctr, Div Clin Res, 1100 Fairview Ave N,D5-380, Seattle, WA 98109 USA. EM voehler@u.washington.edu FU National Institutes of Health (NIH) [K25CA106988, R01GM084163-01A1, P50HL073996, U54AI057141, R24RR021863-01A1, R01DE012212-06, UL1RR025014-01, R01HDO54511-01A1]; Leukemia & Lymphoma Society Translational Research Program ; V Foundation for Cancer Research V Scholar Grant ; Merck ; NSF [llS0534094, ATM0724721, NCI CA18029] FX This work was supported by the following grants: National Institutes of Health (NIH) K25CA106988 and R01GM084163-01A1 (K.Y.Y.); Leukemia & Lymphoma Society Translational Research Program grant and V Foundation for Cancer Research V Scholar Grant (V.G.O.); NIH R01GM084163-01A1, P50HL073996, U54AI057141, R24RR021863-01A1, R01DE012212-06, UL1RR025014-01, and a generous basic research grant from Merck (R. E. B.); NIH R01HDO54511-01A1 and R01GM084163-01A1, NSF llS0534094 and ATM0724721 (A. E. R.); and NCI CA18029 (J.P.R.). NR 39 TC 0 PU AMER SOC HEMATOLOGY PI WASHINGTON PA 1900 M STREET. NW SUITE 200, WASHINGTON, DC 20036 USA SN 0006-4971 J9 BLOOD JI Blood PD OCT 8 PY 2009 VL 114 IS 15 BP 3292 EP 3298 DI 10.1182/blood-2009-03-212969 PG 7 SC Hematology GA 504DW UT ISI:000270595700022 ER EF Record 3 of 3: FN ISI Export Format VR 1.0 PT J AU Blair, MD Smith, HF Sogge, CD AF Blair, Matthew D. Smith, Hart F. Sogge, Christopher D. TI Strichartz estimates for the wave equation on manifolds with boundary SO ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE LA English DT Article DE Strichartz estimates; Wave equation; Critical nonlinear wave equation; Scattering ID CONVEX-OBSTACLE; DECAY; COEFFICIENTS; SCATTERING; REGULARITY; EXISTENCE; OPERATORS; ENERGY AB We prove certain mixed-norm Strichartz estimates on manifolds with boundary. Using them we are able to prove new results for the critical and subcritical wave equation in 4-dimensions with Dirichlet or Neumann boundary conditions. We obtain global existence in the subcritical case, as well as global existence for the critical equation with small data. We also can use our Strichartz estimates to prove scattering results for the critical wave equation with Dirichlet boundary conditions in 3-dimensions. (C) 2009 Elsevier Masson SAS. All rights reserved. C1 [Sogge, Christopher D.] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA. [Blair, Matthew D.] Univ New Mexico, Dept Math, Albuquerque, NM 87131 USA. [Smith, Hart F.] Univ Washington, Dept Math, Seattle, WA 98195 USA. RP Sogge, CD, Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA. EM blair@math.unm.edu hart@math.washington.edu sogge@jhu.edu FU National Science Foundation [DMS-0654415, DMS-0099642] FX The authors were supported by the National Science Foundation, Grants DMS-0654415 and DMS-0099642. NR 29 TC 0 PU GAUTHIER-VILLARS/EDITIONS ELSEVIER PI PARIS PA 23 RUE LINOIS, 75015 PARIS, FRANCE SN 0294-1449 J9 ANN INST HENRI POINCARE-ANAL JI Ann. Inst. Henri Poincare-Anal. Non Lineaire PD SEP-OCT PY 2009 VL 26 IS 5 BP 1817 EP 1829 DI 10.1016/j.anihpc.2008.12.004 PG 13 SC Mathematics, Applied GA 505CZ UT ISI:000270667400013 ER EF
