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The force\u2013joint angle and F\u2013V relationships were assessed in 10 cross\u2010training athletes and 14 recreationally resistance\u2010trained subjects in the unilateral leg press (LP) and bilateral bench press (BP) exercises, respectively. A force plate and a linear encoder were installed to register external force and velocity, respectively. Muscle excitation was assessed by surface EMG recording of the quadriceps femoris, biceps femoris and gluteus maximus muscles during the unilateral LP. Linear, Hill's (hyperbolic) and Edman's (double\u2010hyperbolic) equations were fitted to the measured F\u2013V data and compared. Measured F\u2013V data were best fitted by double\u2010hyperbolic models in both exercises (<jats:italic>p<\/jats:italic> &lt; 0.05). F\u2013V data deviated from the rectangular hyperbola above a breakpoint located at 90% of measured isometric force (<jats:italic>F<\/jats:italic> <jats:sub>0<\/jats:sub>) and from the linearity at \u226445% of <jats:italic>F<\/jats:italic> <jats:sub>0<\/jats:sub> (both <jats:italic>p<\/jats:italic> &lt; 0.05). Hyperbolic equations overestimated <jats:italic>F<\/jats:italic> <jats:sub>0<\/jats:sub> values by 13 \u00b1 11% and 6 \u00b1 6% in the LP and BP, respectively (<jats:italic>p<\/jats:italic> &lt; 0.05). No differences were found between muscle excitation levels below and above the breakpoint (<jats:italic>p<\/jats:italic> &gt; 0.05). Large associations between variables obtained from linear and double\u2010hyperbolic models were noted for <jats:italic>F<\/jats:italic> <jats:sub>0<\/jats:sub>, maximum muscle power, and velocity between 25% and 100% of <jats:italic>F<\/jats:italic> <jats:sub>0<\/jats:sub> (<jats:italic>r<\/jats:italic> = 0.70\u20130.99; all <jats:italic>p<\/jats:italic> &lt; 0.05). The F\u2013V relationship in multi\u2010joint exercises was double\u2010hyperbolic, which was unrelated with lower muscle excitation levels. However, linear models may be valid to assess <jats:italic>F<\/jats:italic> <jats:sub>0<\/jats:sub>, maximal muscle power and velocity between 25% and 100% of <jats:italic>F<\/jats:italic> <jats:sub>0<\/jats:sub>.<\/jats:p>","DOI":"10.1080\/17461391.2020.1753816","type":"journal-article","created":{"date-parts":[[2020,4,7]],"date-time":"2020-04-07T17:20:25Z","timestamp":1586280025000},"page":"359-369","update-policy":"https:\/\/doi.org\/10.1080\/tandf_crossmark_01","source":"Crossref","is-referenced-by-count":30,"title":["Comparison of linear, hyperbolic and double\u2010hyperbolic models to assess the force\u2013velocity relationship in multi\u2010joint exercises"],"prefix":"10.1002","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1090-5482","authenticated-orcid":false,"given":"Julian","family":"Alcazar","sequence":"first","affiliation":[{"name":"GENUD Toledo Research Group Universidad de Castilla\u2010La Mancha Toledo Spain"},{"name":"CIBER of Frailty and Healthy Aging (CIBERFES) Madrid Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7184-7610","authenticated-orcid":false,"given":"Fernando","family":"Pareja\u2010Blanco","sequence":"additional","affiliation":[{"name":"Physical Performance &amp; Sports Research Center, Universidad Pablo de Olavide Seville Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7545-7476","authenticated-orcid":false,"given":"Carlos","family":"Rodriguez\u2010Lopez","sequence":"additional","affiliation":[{"name":"GENUD Toledo Research Group Universidad de Castilla\u2010La Mancha Toledo Spain"},{"name":"CIBER of Frailty and Healthy Aging (CIBERFES) Madrid Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Roberto","family":"Navarro\u2010Cruz","sequence":"additional","affiliation":[{"name":"GENUD Toledo Research Group Universidad de Castilla\u2010La Mancha Toledo Spain"},{"name":"CIBER of Frailty and Healthy Aging (CIBERFES) Madrid Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pedro J.","family":"Cornejo\u2010Daza","sequence":"additional","affiliation":[{"name":"Physical Performance &amp; Sports Research Center, Universidad Pablo de Olavide Seville Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2854-6684","authenticated-orcid":false,"given":"Ignacio","family":"Ara","sequence":"additional","affiliation":[{"name":"GENUD Toledo Research Group Universidad de Castilla\u2010La Mancha Toledo Spain"},{"name":"CIBER of Frailty and Healthy Aging (CIBERFES) Madrid Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4502-9275","authenticated-orcid":false,"given":"Luis M.","family":"Alegre","sequence":"additional","affiliation":[{"name":"GENUD Toledo Research Group Universidad de Castilla\u2010La Mancha Toledo Spain"},{"name":"CIBER of Frailty and Healthy Aging (CIBERFES) Madrid Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2020,5,4]]},"reference":[{"key":"e_1_2_10_2_1","doi-asserted-by":"publisher","DOI":"10.3389\/fphys.2019.00769"},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1111\/apha.13165"},{"key":"e_1_2_10_4_1","doi-asserted-by":"publisher","DOI":"10.1055\/s\u20100043\u2010119880"},{"key":"e_1_2_10_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.exger.2018.03.015"},{"key":"e_1_2_10_6_1","doi-asserted-by":"publisher","DOI":"10.3389\/fphys.2014.00494"},{"key":"e_1_2_10_7_1","doi-asserted-by":"publisher","DOI":"10.1152\/japplphysiol.00787.2011"},{"key":"e_1_2_10_8_1","doi-asserted-by":"publisher","DOI":"10.1080\/14763141.2016.1159724"},{"key":"e_1_2_10_9_1","doi-asserted-by":"publisher","DOI":"10.1113\/jphysiol.1994.sp020087"},{"key":"e_1_2_10_10_1","doi-asserted-by":"publisher","DOI":"10.1152\/japplphysiol.00276.2006"},{"key":"e_1_2_10_11_1","doi-asserted-by":"publisher","DOI":"10.1113\/jphysiol.1988.sp017291"},{"key":"e_1_2_10_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/978\u20101\u20104615\u20102872\u20102_59"},{"key":"e_1_2_10_13_1","doi-asserted-by":"publisher","DOI":"10.1242\/jeb.01573"},{"key":"e_1_2_10_14_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1748\u20101716.1976.tb00234.x"},{"key":"e_1_2_10_15_1","doi-asserted-by":"publisher","DOI":"10.1519\/JSC.0000000000002461"},{"key":"e_1_2_10_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jelekin.2014.06.010"},{"key":"e_1_2_10_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00421\u2010014\u20102899\u20105"},{"key":"e_1_2_10_18_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1748\u20101716.1994.tb09785.x"},{"key":"e_1_2_10_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/S1050\u20106411(00)00027\u20104"},{"key":"e_1_2_10_20_1","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.1938.0050"},{"key":"e_1_2_10_21_1","doi-asserted-by":"publisher","DOI":"10.1519\/JSC.0000000000003007"},{"key":"e_1_2_10_22_1","doi-asserted-by":"publisher","DOI":"10.1152\/jappl.2000.88.3.851"},{"key":"e_1_2_10_23_1","doi-asserted-by":"publisher","DOI":"10.1080\/02640414.2019.1648993"},{"key":"e_1_2_10_24_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0005\u20102728(96)00156\u20109"},{"key":"e_1_2_10_25_1","doi-asserted-by":"publisher","DOI":"10.1080\/02640414.2019.1636523"},{"key":"e_1_2_10_26_1","doi-asserted-by":"crossref","unstructured":"Janicijevic D. 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