RT Journal Article
T1 A novel equation that incorporates the linear and hyperbolic nature of the force–velocity relationship in lower and upper limb exercises
A1 Alcázar, Julián
A1 Pareja Blanco, Fernando
A1 Rodríguez-López, Carlos
A1 Gutierrez‐Reguero, Héctor
A1 Sánchez-Valdepeñas Mateos-Aparicio, Juan
A1 Cornejo Daza, Pedro Jesús
A1 Ara, Ignacio
A1 Alegre, Luis M.
K1 Load–velocity
K1 Maximum isometric force
K1 Maximum unloaded velocity
K1 Muscle mechanics
K1 Muscle power
K1 Torque–velocity
AB The purpose of this study is to provide a force-velocity (F-V) equation that combines a linear and a hyperbolic region, and to compare its derived results to those obtained from linear equations. A total of 10 cross-training athletes and 14 recreationally resistance-trained young men were assessed in the unilateral leg press (LP) and bilateral bench press (BP) exercises, respectively. F-V data were recorded using a force plate and a linear encoder. Estimated maximum isometric force (F0), maximum muscle power (Pmax), and maximum unloaded velocity (V0) were calculated using a hybrid (linear and hyperbolic) equation and three different linear equations: one derived from the hybrid equation (linearhyb), one applied to data from 0 to 100% of F0 (linear0-100), and one applied to data from 45 to 100% of F0 (linear45-100). The hybrid equation presented the best fit to the recorded data (R2 = 0.996 and 0.998). Compared to the results derived from the hybrid equation in the LP, significant differences were observed in F0 derived from linear0-100; V0 derived from linearhyb, linear0-100 and linear45-100; and Pmax derived from linearhyb and linear45-100 (all p < 0.05). For the BP, compared to the hybrid equation, significant differences were found in F0 derived from linear0-100; and V0 and Pmax derived from linearhyb, linear0-100 and linear45-100 (all p < 0.05). An F-V equation combining a linear and a hyperbolic region showed to fit adequately recorded F-V data from ~ 20 to 100% of F0, and overcame the limitations shown by linear equations while providing relevant results.
PB Springer
YR 2022
FD 2022-10-01
LK https://hdl.handle.net/10433/27268
UL https://hdl.handle.net/10433/27268
LA en
NO Alcazar J, Pareja-Blanco F, Rodriguez-Lopez C, Gutierrez-Reguero H, Sanchez-Valdepeñas J, Cornejo-Daza PJ, Ara I, Alegre LM. A novel equation that incorporates the linear and hyperbolic nature of the force-velocity relationship in lower and upper limb exercises. Eur J Appl Physiol. 2022 Oct;122(10):2305-2313. doi: 10.1007/s00421-022-05006-1. Epub 2022 Jul 21. PMID: 35864344.
NO Departamento Deporte e Informática
DS RIO
RD Aug 5, 2026