Prevalence of Rheumatoid Arthritis in Rural Germany

Behrend, T; Lawrence, John S.; Behrend, H; Fischer, Kyle

doi:10.1093/ije/1.2.153

Cited by 8 publications

(7 citation statements)

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“…In Theorem 2.11 we present an enumeration formula for the number of AS-trapezoids. This formula was first conjectured by Behrend [7] and later independently by the author. The proof was found by Behrend and Fischer [7] using the six-vertex model and by Fischer [13] using the operator formula.…”

Section: Introductionmentioning

confidence: 76%

“…By using a computer system to calculate the number of (n, l)-AS-trapezoids for 1 ≤ n ≤ 9 and treating l as a variable, it is possible to guess the formula that enumerates (n, l)-AS-trapezoids. The formula was first conjectured in a more general way by Behrend [7] and later independently by the author. Behrend and Fischer [7] found a proof using the six-vertex model and Fischer [13] additionally found a proof based on her operator formula for monotone triangles.…”

Section: The Following Is An Example Of a (4 6)-as-trapezoidmentioning

confidence: 96%

“…The formula was first conjectured in a more general way by Behrend [7] and later independently by the author. Behrend and Fischer [7] found a proof using the six-vertex model and Fischer [13] additionally found a proof based on her operator formula for monotone triangles.…”

Section: The Following Is An Example Of a (4 6)-as-trapezoidmentioning

confidence: 96%

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Refined enumerations of alternating sign triangles

Aigner

2019

Advances in Applied Mathematics

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This article introduces and investigates a refinement of alternating sign trapezoids by means of Catalan objects and Motzkin paths. Alternating sign trapezoids are a generalisation of alternating sign triangles, which were recently introduced by Ayyer, Behrend and Fischer. We show that the number of alternating sign trapezoids associated with a Catalan object (resp. a Motzkin path) is a polynomial function in the length of the shorter base of the trapezoid. We also study the rational roots of these polynomials and formulate several conjectures and derive some partial results. Lastly, we deduce a constant term identity for the refined counting of alternating sign trapezoids.

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Section: Introductionmentioning

confidence: 76%

Section: The Following Is An Example Of a (4 6)-as-trapezoidmentioning

confidence: 96%

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Refined enumerations of alternating sign triangles

Aigner

2019

Advances in Applied Mathematics

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“…The search generated 1,160 articles after removal of duplicates, and 138 articles were selected for full‐text review (Figure 1). From these, 54 articles were included for data synthesis (12–65) and are described in Supplementary Table 2, available on the Arthritis Care & Research website at https://doi.org/10.1002/acr.24513, with some studies reporting ≥1 outcome of interest. In total, 35 studies described an epidemiology outcome (n = 32 prevalence and n = 4 incidence), 15 described RA clinical characteristics of rural or remote populations, and 15 studies reported on health service utilization.…”

Section: Resultsmentioning

confidence: 99%

“…The search generated 1,160 articles after removal of duplicates, and 138 articles were selected for full‐text review (Figure 1 ). From these, 54 articles were included for data synthesis ( 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 , 60 , 61 , 62 , 63 , 64 , 65 ) and are described in Supplementary Table…”

Section: Resultsmentioning

confidence: 99%

Global Rural and Remote Patients With Rheumatoid Arthritis: A Systematic Review

Pianarosa

Chomistek

Hsiao

et al. 2022

Arthritis Care & Research

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Objective Rural and remote patients with rheumatoid arthritis (RA) are at risk for inequities in health outcomes based on differences in physical environments and health care access potential compared to urban populations. The aim of this systematic review was to synthesize epidemiology, clinical outcomes, and health service use reported for global populations with RA residing in rural and remote locations. Methods Medline, Embase, HealthStar, the Cumulative Index to Nursing and Allied Health Literature (CINAHL), and the Cochrane Library were searched from inception to June 2019 using librarian‐developed search terms for RA and rural and remote populations. Peer‐reviewed published manuscripts were included if they reported on epidemiologic, clinical, or health service use outcomes. Results Fifty‐four articles were included for data synthesis, representing studies from all continents. In 11 studies in which there was an appropriate urban population comparator, rural and remote populations were not at increased risk for RA; 1 study reported increased prevalence, and 5 studies reported decreased prevalence in rural and remote populations. Clinical characteristics of rural and remote populations in studies with an appropriate urban comparator showed no significant differences in disease activity measures or disability, but 1 study reported worse physical function and health‐related quality of life in rural and remote populations. Studies reporting on health service use provided evidence that rural and remote residence adversely impacts diagnostic time, ongoing follow‐up, access to RA‐care–related practitioners and services, and variation in medication access and use, with prominent heterogeneity noted between countries. Conclusion RA epidemiology and clinical outcomes are not necessarily different between rural/remote and urban populations within countries. Rural and remote patients face greater barriers to care, which increases the risk for inequities in outcomes.

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