The number of beams in IMRT - theoretical investigations and implications for single-arc IMRT

The first purpose of this paper is to shed some new light on the old question of selecting the number of beams in intensity-modulated radiation therapy (IMRT). The second purpose is to illuminate the related issue of discrete static beam angles vs. rotational techniques, which has recently re-surfaced due to the advancement of volumetric arc therapy (VMAT). A specific objective is to find analytical expressions that allow one to address the points raised above. To make the problem mathematically tractable, it is assumed that the depth dose is flat and that the lateral dose profile can be approximated by polynomials, specifically Chebyshev polynomials of the first kind, of finite degree. The application of methods known from image reconstruction then allows one to answer the first question above as follows: The required number of beams is determined by the maximum degree of the polynomials used in the approximation of the beam profiles, which is a measure of the dose variability. There is nothing to be gained by using more beams. In realistic cases, in which the variability of the lateral dose profile is restricted in several ways, the required number of beams is of the order of 10 to 20. The consequence of delivering the beams with a `leaf sweep' technique during continuous rotation of the gantry, as in VMAT, is also derived in analytical form. The main effect is that the beams fan out, but the effect near the axis of rotation is small. This result can serve as a theoretical justification of VMAT. Overall the analytical derivations in this paper, albeit based on strong simplifications, provide new insights into, and a deeper understanding of, the beam angle problem in IMRT

Finding home: Black queer historical scholarship in the United States Part II

This essay surveys the extant historical and historically minded scholarship about the political, social, and cultural life of African American/black LGBT/queer. Characterizing this area of inquiry as “black queer historical studies,” this essay addresses scholars’ diverse approaches to the challenge of archival research, current scholarship about the intersecting histories of blackness and queerness in the United States, and four key topical concerns: black “lesbian” histories, gender transgression, class, and community formation/politics.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/149251/1/hic312533.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/149251/2/hic312533_am.pd

Long-term risk of cardiovascular disease in 10-year survivors of breast cancer

Background: Radiotherapy for breast cancer as delivered in the 1970s has been associated with increased risk of cardiovascular disease, but recent studies of associations with modern regimens have been inconclusive. Few data on long-term cardiovascular disease risk according to specific radiation fields are available, and interaction with known cardiovascular risk factors has not been examined. Methods: The studied treatment-specific incidence of cardiovascular disease in 4414 10-year survivors of breast cancer who were treated from 1970 through 1986. Risk of cardiovascular disease in these patients was compared with general population rates and evaluated in Cox proportional hazards regression models. All statistical tests were two-sided. Results: After a median follow-up of 18 years, 942 cardiovascular events were observed (standardized incidence ratio = 1.30, 95% confidence interval [CI] = 1.22 to 1.38; corresponding to 62.9 excess cases per 10 000 patient-years). Breast irradiation only was not associated with increased risk of cardiovascular disease. However, radiotherapy to either the left or right side of the internal mammary chain was associated with increased cardiovascular disease risk for the treatment period 1970-1979 (for myocardial infarction, hazard ratio [HR] = 2.55, 95% CI = 1.55 to 4.19; P<.001; for congestive heart failure, HR = 1.72, 95% CI = 1.22 to 2.41; P = .002) compared with no radiotherapy. Among patients who received internal mammary chain radiotherapy after 1979, risk of myocardial infarction declined over time toward unity, whereas the risks of congestive heart failure (HR = 2.66, 95% CI = 1.27 to 5.61; P = .01) and valvular dysfunction (HR = 3.17, 95% CI = 1.90 to 5.29; P<.001) remained increased. Patients who underwent radiotherapy plus adjuvant chemotherapy (cyclophosphamide, methotrexate, and fluorouracil) after 1979 had a higher risk of congestive heart failure than patients who were treated with radiotherapy only (HR = 1.85, 95% CI = 1.25 to 2.73; P = .002). Smoking and radiotherapy together were associated with a more than additive effect on risk of myocardial infarction (HR = 3.04