The stackelberg minimum spanning tree game

We consider a one-round two-player network pricing game, the Stackelberg Minimum Spanning Tree game or STACKMST. The game is played on a graph (representing a network), whose edges are colored either red or blue, and where the red edges have a given fixed cost (representing the competitor's prices). The first player chooses an assignment of prices to the blue edges, and the second player then buys the cheapest possible minimum spanning tree, using any combination of red and blue edges. The goal of the first player is to maximize the total price of purchased blue edges. This game is the minimum spanning tree analog of the well-studied Stackelberg shortest-path game. We analyze the complexity and approximability of the first player's best strategy in STACKMST. In particular, we prove that the problem is APX-hard even if there are only two different red costs, and give an approximation algorithm whose approximation ratio is at most min{k, 3 + 2 In 6,1 + In W}, where k is the number of distinct red costs, b is the number of blue edges, and W is the maximum ratio between red costs. We also give a natural integer linear programming formulation of the problem, and show that the integrality gap of the fractional relaxation asymptotically matches the approximation guarantee of our algorithm. © Springer-Verlag Berlin Heidelberg 2007.Frank Dehne, Jörg-Rüdiger Sack, and Norbert Zeh, editors, Algorithms and Data StructuresSpringer Berlin / Heidelberg10th International Workshop on Algorithms and Data Structures, WADS 2007; Halifax; Canada; 15 August 2007 through 17 August 2007.info:eu-repo/semantics/publishe

One-Year Follow-up of ZUMA-2, the Multicenter, Registrational Study of KTE-X19 in Patients with Relapsed/Refractory Mantle Cell Lymphoma

Background: KTE-X19, an autologous anti-CD19 chimeric antigen receptor (CAR) T cell therapy, is currently being evaluated in patients with relapsed/refractory (R/R) mantle cell lymphoma (MCL) who received 1 - 5 prior therapies (including a Bruton tyrosine kinase inhibitor) in the Phase 2, registrational, multicenter ZUMA-2 study. With a median follow-up of 12.3 months, we previously reported an objective response rate (ORR) of 93% (67% complete response [CR] rate) with KTE-X19 treatment in the 60 efficacy-evaluable patients in ZUMA-2 (Wang et al. N Engl J Med. 2020;382:1331). Here, we present an updated analysis of efficacy, safety, and pharmacology for all patients with a minimum follow-up of 1 year. Methods: Eligible patients with R/R MCL underwent leukapheresis and conditioning chemotherapy followed by a single infusion of KTE-X19 (2 × 106 CAR T cells/kg; Wang et al. N Engl J Med. 2020;382:1331). The primary endpoint was ORR (CR + partial response) as assessed by an Independent Review Committee according to the Lugano Classification (Cheson et al. J Clin Oncol. 2014;32:3059). Efficacy data are reported for the 60 treated patients with ≥ 1 year of follow-up; safety data are presented for all 68 treated patients. Results: As of December 31, 2019, the median follow-up was 17.5 months (range, 12.3 - 37.6). The ORR was 92% (95% CI, 81.6 - 97.2), with a CR rate of 67% (95% CI, 53.3 - 78.3). Of all efficacy-evaluable patients, 48% had ongoing responses at the data cutoff. Medians were not reached for duration of response, progression-free survival (PFS), or overall survival; 15-month estimates were 58.6% (95% CI, 42.5 - 71.7), 59.2% (95% CI, 44.6 - 71.2), or 76.0% (95% CI, 62.8 - 85.1), respectively. In patients who achieved a CR, the median PFS was not reached (15-month rate, 75.1% [95% CI, 56.8 - 86.5]); in those who achieved a partial response, the median PFS was 3.1 months (95% CI, 2.3 - 5.2). Median PFS was 1.1 months (95% CI, 0.9 - 3.0) in nonresponding patients. The first 28 patients treated had a median follow-up of 32.3 months (range, 30.6 - 37.6); 39.3% of these patients remain in remission with no further therapy. Common grade ≥ 3 adverse events were neutropenia (85%), thrombocytopenia (53%), anemia (53%), and infections (34%). Grade ≥ 3 cytopenias were reported in 60% of patients ≥ 30 days post-infusion. Grade ≥ 3 cytokine release syndrome (CRS; per Lee et al. [Blood. 2014;124:188]) occurred in 15% of patients; 59% received tocilizumab for management of CRS. Grade ≥ 3 neurologic events (NEs) were reported in 31% of patients, and 38% received steroids for NE management. All CRS events and most NEs (37/43) resolved, as previously reported. There were no Grade 5 CRS events or NEs, and no new Grade 5 events occurred with additional follow-up. As previously reported, there were 2 cases of Grade 2 cytomegalovirus infection, 1 case each of Grade ≥ 3 hypogammaglobulinemia and Grade ≥ 3 tumor lysis syndrome, and no cases of Epstein-Barr virus-associated lymphoproliferation, replication-competent retrovirus, hemophagocytic lymphohistiocytosis, or KTE-X19-related secondary cancers. Median peak CAR T cell levels and median area under the curve (Days 0 - 28) were 98.9 cells/µL (range, 0.2 - 2565.8) and 1394.9 cells/µL (range, 3.8 - 27,700) in patients with ongoing responses at 12 months, 202.6 cells/µL (range, 1.6 - 2589.5) and 2312.3 cells/µL (range, 19.0 - 27,200) in patients who were relapsed at 12 months, and 0.4 cells/µL (range, 0.2 - 95.9) and 5.5 cells/µL (range, 1.8 - 1089.1) in nonresponders. Of the 57 efficacy-evaluable patients with data available, 84% had B cells detectable by flow cytometry at baseline. Of those in ongoing responses at 12 months, 10 of 26 patients (38%) with evaluable samples had B cells detectable at 3 months, and 10 of 18 (56%) had detectable B cells at 12 months; gene-marked CAR T cells were no longer detectable at 12 months in 5 of 28 evaluable patients (17%). Conclusions: The ZUMA-2 study continues to demonstrate substantial and durable clinical benefit of KTE-X19 therapy with manageable safety in patients with R/R MCL. Within this patient population, which lacks curative treatment options, most patients achieved durable CR, and no new safety signals were reported. Although early CAR T cell expansion was higher in patients who achieved an objective response, those who later relapsed showed elevated CAR T cell levels pointing to alternate mechanisms of secondary treatment failure in MCL. Disclosures Wang: Verastem: Research Funding; Molecular Templates: Research Funding; Kite Pharma: Consultancy, Other: Travel, accommodation, expenses, Research Funding; Dava Oncology: Honoraria; Targeted Oncology: Honoraria; VelosBio: Research Funding; BioInvent: Research Funding; Juno: Consultancy, Research Funding; OncLive: Honoraria; Pulse Biosciences: Consultancy; Loxo Oncology: Consultancy, Research Funding; Guidepoint Global: Consultancy; OMI: Honoraria, Other: Travel, accommodation, expenses; Nobel Insights: Consultancy; Acerta Pharma: Research Funding; Oncternal: Consultancy, Research Funding; Celgene: Consultancy, Other: Travel, accommodation, expenses, Research Funding; AstraZeneca: Consultancy, Honoraria, Other: Travel, accommodation, expenses, Research Funding; Pharmacyclics: Consultancy, Honoraria, Other: Travel, accommodation, expenses, Research Funding; Janssen: Consultancy, Honoraria, Other: Travel, accommodation, expenses, Research Funding; MoreHealth: Consultancy; InnoCare: Consultancy; Beijing Medical Award Foundation: Honoraria; Lu Daopei Medical Group: Honoraria. Munoz:Merck: Research Funding; Portola: Research Funding; Incyte: Research Funding; AbbVie: Consultancy, Speakers Bureau; Genentech/Roche: Research Funding, Speakers Bureau; AstraZeneca: Speakers Bureau; Verastem: Speakers Bureau; Acrotech/Aurobindo: Speakers Bureau; Innovent: Consultancy; Fosunkite: Consultancy; Beigene: Consultancy, Speakers Bureau; Alexion: Consultancy; Juno/Celgene/BMS: Consultancy, Research Funding, Speakers Bureau; Janssen: Consultancy, Research Funding, Speakers Bureau; Pfizer: Consultancy; Kite, a Gilead Company: Consultancy, Research Funding, Speakers Bureau; Bayer: Consultancy, Research Funding, Speakers Bureau; Pharmacyclics: Consultancy, Research Funding, Speakers Bureau; Seattle Genetics: Consultancy, Honoraria, Research Funding, Speakers Bureau; Kyowa: Consultancy, Honoraria, Speakers Bureau; Millenium: Research Funding. Goy:MD Anderson: Research Funding; Regional Cancer Care Associates/OMI: Current Employment; Xcenda: Consultancy; AbbVie: Research Funding; Acerta: Consultancy, Honoraria, Other: leadership role, Research Funding; AstraZeneca: Consultancy, Membership on an entity's Board of Directors or advisory committees, Other: leadership role, Research Funding; Celgene: Honoraria, Research Funding; Janssen: Consultancy, Honoraria, Other: leadership role, Research Funding; Kite, a Gilead Company: Consultancy, Current equity holder in publicly-traded company, Honoraria, Other: leadership role, Research Funding; COTA: Consultancy, Current equity holder in publicly-traded company, Other: leadership role; Hackensack UMC and University of Nebraska: Research Funding; Infinity Verastem: Research Funding; Morphosys: Research Funding; Karyopharm: Research Funding; Infinity: Research Funding; Constellation: Research Funding; Genentech/Roche: Research Funding; CALBG: Research Funding; Bayer: Research Funding; PracticeUpdate Oncology: Consultancy; RCCA/OMI: Current Employment. Locke:Wugen: Consultancy; GammaDelta Therapeutics: Consultancy; Celgene/Bristol-Myers Squibb: Consultancy; Novartis: Consultancy; Kite, a Gilead Company: Consultancy, Research Funding; Calibr: Consultancy; Allogene: Consultancy; Cellular Biomedicine Group: Other: Consultancy with grant options. Hill:Genentech: Consultancy, Honoraria, Research Funding; Abbvie: Consultancy, Honoraria, Research Funding; Pharmacyclics: Consultancy, Honoraria, Research Funding; Beigene: Consultancy, Honoraria, Research Funding; AstraZenica: Consultancy, Honoraria, Research Funding; Kite, a Gilead Company: Consultancy, Honoraria, Research Funding; Novartis: Consultancy, Honoraria; BMS: Consultancy, Honoraria, Research Funding; Celgene: Consultancy, Honoraria, Research Funding; Takeda: Research Funding; Karyopharm: Consultancy, Honoraria, Research Funding. Timmerman:Corvus: Current equity holder in publicly-traded company; Marker Therapeutics: Current equity holder in publicly-traded company; Bluebird Bio: Current equity holder in publicly-traded company; Kite, a Gilead Company: Consultancy, Other: Travel support, Research Funding; Immune Design: Honoraria; Celldex Therapeutics: Consultancy; BMS: Other: Travel support, Research Funding; Spectrum Pharmaceuticals: Research Funding; Merck: Research Funding; Valor: Research Funding; Genmab: Current equity holder in publicly-traded company. Holmes:Texas Oncology PA: Current Employment; Gilead/Kite, Celgene/Juno, Rigel, Karyopharm, Janssen, Dova: Consultancy; Gilead/Kite, Novartis, Autolus, Celgene/Juno/bluebird, Genentech, Inc., Rigel, Janssen, Unum, ADC Therapeutics, Seattle Genetics, Incyte, Verastem: Research Funding; Kite, Karyopharm, Seattle Genetics, Rigel, Dova: Speakers Bureau. Jaglowski:CRISPR: Consultancy; Novartis: Consultancy, Research Funding; Juno: Consultancy; Kite, a Gilead Company: Consultancy, Research Funding. Flinn:Karyopharm Therapeutics: Research Funding; AstraZeneca: Consultancy, Research Funding; Roche: Consultancy, Research Funding; Vincera Pharma: Consultancy; Iksuda Therapeutics: Consultancy; Janssen: Consultancy, Research Funding; Agios: Research Funding; ArQule: Research Funding; Infinity Pharmaceuticals: Research Funding; Unum Therapeutics: Consultancy, Research Funding; Forma Therapeutics: Research Funding; Forty Seven: Research Funding; Great Point Partners: Consultancy; Pfizer: Research Funding; Pharmacyclics LLC, an AbbVie Company: Consultancy, Research Funding; Novart

Entangling macroscopic quantum states

Spatial entanglements of macroscopic quantum systems are proposed. The which-path uncertainty of a single photon passing through a beam splitter is transformed into the which-path uncertainty of two macroscopic fields via two quantum nondemolition measurements. The macroscopic fields are nonlocally correlated