{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T08:40:30Z","timestamp":1648802430598},"reference-count":17,"publisher":"Mark Allen Group","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Wound Care"],"published-print":{"date-parts":[[2020,11,2]]},"abstract":"<jats:sec><jats:title>Objective:<\/jats:title><jats:p> Mathematical models have the potential to provide valuable insights into complex, biochemical and biomechanical processes. Previously, we developed a mathematical model with a non-linear growth function but could only confirm the feasibility of this model in clinical trials with a small number of patients. This limited the validity of our model. To increase validity, we applied the model to a larger number of patients. <\/jats:p><\/jats:sec><jats:sec><jats:title>Method:<\/jats:title><jats:p> The mathematical model was applied to patient data from a randomised controlled trial as part of the post-evaluation of the model. In this trial, patients with venous leg ulcers were randomised for treatment with either a two-layer bandage or a four-layer bandage. <\/jats:p><\/jats:sec><jats:sec><jats:title>Results:<\/jats:title><jats:p> Data for 186 patients were analysed (two-layer bandage group, n=93; four-layer bandage group, n=93). Using the non-linear growth function, it was confirmed that the two-layer bandage was not inferior to the four-layer bandage. In addition, the mathematical model calculated individual wound healing trajectories and mean wound healing trajectories for both bandage systems. By extrapolating to t\u2192\u221e, the two-layer bandage had a marginal benefit and resulted in a persistent wound area that was 7% of the initial wound area compared with 17% for the four-layer bandage. <\/jats:p><\/jats:sec><jats:sec><jats:title>Conclusion:<\/jats:title><jats:p> This analysis supported the previously performed statistical analysis, and allowed us to obtain details of the treated study population that may help in non-inferiority trials via extrapolation. It also provided new insights into the wound healing process by generating wound healing trajectories. <\/jats:p><\/jats:sec>","DOI":"10.12968\/jowc.2020.29.11.678","type":"journal-article","created":{"date-parts":[[2020,11,11]],"date-time":"2020-11-11T19:03:20Z","timestamp":1605121400000},"page":"678-685","source":"Crossref","is-referenced-by-count":0,"title":["A European randomised controlled trial for venous leg ulcers: a mathematical model analysis"],"prefix":"10.12968","volume":"29","author":[{"given":"Regina","family":"Renner","sequence":"first","affiliation":[{"name":"Dermatologist; Hautklinik Erlangen, Universit\u00e4tsklinikum Erlangen, Erlangen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"5130","reference":[{"key":"B1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1524-475X.2010.00627.x"},{"issue":"3","key":"B2","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1111\/j.1742-481X.2007.00404.x","volume":"5","author":"Renner R","year":"2008","journal-title":"Int Wound J"},{"key":"B3","doi-asserted-by":"publisher","DOI":"10.1126\/scitranslmed.3009337"},{"issue":"9","key":"B4","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1007\/s11517-015-1435-z","volume":"54","author":"Jorgensen SN","year":"2016","journal-title":"Med Biol Eng Comput"},{"issue":"1","key":"B5","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1186\/1471-5945-9-2","volume":"9","author":"Cardinal M","year":"2009","journal-title":"BMC Dermatol"},{"issue":"4","key":"B6","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1111\/j.1524-475X.2007.00270.x","volume":"15","author":"Waugh HV","year":"2007","journal-title":"Wound Repair Regen"},{"issue":"2","key":"B7","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0025-5564(94)90040-X","volume":"124","author":"Dale PD","year":"1994","journal-title":"Math Biosci"},{"issue":"4","key":"B8","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/s10237-003-0034-3","volume":"2","author":"Kuhl E","year":"2004","journal-title":"Biomech Model Mechanobiol"},{"issue":"2","key":"B9","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1111\/wrr.12634","volume":"26","author":"Cogan NG","year":"2018","journal-title":"Wound Repair Regen"},{"issue":"9","key":"B10","doi-asserted-by":"crossref","first-page":"2165","DOI":"10.1007\/s11538-012-9751-z","volume":"74","author":"Segal RA","year":"2012","journal-title":"Bull Math Biol"},{"key":"B11","doi-asserted-by":"publisher","DOI":"10.12968\/jowc.2012.21.11.553"},{"key":"B12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jdermsci.2012.04.007"},{"issue":"1","key":"B13","doi-asserted-by":"crossref","first-page":"3469","DOI":"10.1038\/s41467-018-05927-6","volume":"9","author":"Vishwakarma M","year":"2018","journal-title":"Nat Commun"},{"issue":"1","key":"B14","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1159\/000454919","volume":"58","author":"Sorg H","year":"2017","journal-title":"Eur Surg Res"},{"key":"B15","doi-asserted-by":"publisher","DOI":"10.1177\/0022034509359125"},{"key":"B16","doi-asserted-by":"publisher","DOI":"10.1016\/j.clindermatol.2006.12.005"},{"key":"B17","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1007\/s11357-014-9617-4","volume":"36","author":"Moor AN","year":"2014","journal-title":"Age"}],"container-title":["Journal of Wound Care"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.magonlinelibrary.com\/doi\/pdf\/10.12968\/jowc.2020.29.11.678","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,11]],"date-time":"2020-11-11T19:03:41Z","timestamp":1605121421000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.magonlinelibrary.com\/doi\/10.12968\/jowc.2020.29.11.678"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,2]]},"references-count":17,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2020,11,2]]}},"alternative-id":["10.12968\/jowc.2020.29.11.678"],"URL":"https:\/\/doi.org\/10.12968\/jowc.2020.29.11.678","relation":{},"ISSN":["0969-0700","2052-2916"],"issn-type":[{"value":"0969-0700","type":"print"},{"value":"2052-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11,2]]}}}