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Smith IC, Joumaa V, Herzog W. The force-calcium relationship is not affected by the cross-sectional area of skinned muscle fibres from rat soleus. J Biomech 2025; 182:112571. [PMID: 39929059 DOI: 10.1016/j.jbiomech.2025.112571] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/25/2024] [Revised: 01/09/2025] [Accepted: 02/04/2025] [Indexed: 03/05/2025]
Abstract
Proportionality between force and muscle cross-sectional area (CSA) is a foundational principle in muscle mechanics. However, CSA-normalized force (known as specific force) is often lower in fibres with large CSAs compared to fibres with small CSAs from the same sample population. Many physiological mechanisms proposed to account for CSA-dependence of specific force converge on the requirement for fibre CSA to impact the relationship between force and the concentration of force-activating calcium. To determine if features of the force-calcium relationship exhibited CSA-dependence in mammalian skinned muscle fibres, force-calcium relationships were generated for 85 skinned slow soleus fibres of male Sprague-Dawley rats (n = 54 rats, 1-5 fibres per rat, age = 24 weeks, experimental temperature = 18 °C) and fit using the Hill equation. Fibres were separated into quartiles based on their CSA and then compared. Despite specific force being 46 % higher (P < 0.01) in the smallest (160 ± 51 mN∙mm-2; CSA = 3649 ± 708 μm2) compared to the largest (110 ± 20 mN∙mm-2; CSA = 8671 ± 1319 μm2) quartile, neither the calcium-sensitivity of force production (pCa50; P = 0.47; F(dFn = 3,DFd = 81) = 0.86) nor the Hill coefficient (nH; P = 0.38; F(dFn = 3,DFd = 81) = 1.03) differed significantly between quartiles (smallest quartile: pCa50 = 6.015 ± 0.097, nH = 1.80 ± 0.69; largest quartile: pCa50 = 6.062 ± 0.097, nH = 1.63 ± 0.32). Force plateaus were observed at higher calcium concentrations in all fibres indicating that calcium was adequate for full activation. These findings add to the body of evidence suggesting that CSA-dependence of specific force in mammalian skinned fibres is an artifact attributable to the considerable imprecision associated with the assessment of fibre CSA, and not a physiological phenomenon which would require consideration when modeling muscle force output.
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Affiliation(s)
- Ian C Smith
- Human Performance Lab, Faculty of Kinesiology, University of Calgary, 2500 University Dr NW, Calgary T2N 1N4, Alberta, Canada; Ottawa Hospital Research Institute, 1053 Carling Ave Ottawa K1Y 4E9, Ontario, Canada.
| | - Venus Joumaa
- Human Performance Lab, Faculty of Kinesiology, University of Calgary, 2500 University Dr NW, Calgary T2N 1N4, Alberta, Canada.
| | - Walter Herzog
- Human Performance Lab, Faculty of Kinesiology, University of Calgary, 2500 University Dr NW, Calgary T2N 1N4, Alberta, Canada.
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Mebrahtu A, Smith IC, Liu S, Abusara Z, Leonard TR, Joumaa V, Herzog W. Reconsidering assumptions in the analysis of muscle fibre cross-sectional area. J Exp Biol 2024; 227:jeb248187. [PMID: 39319442 DOI: 10.1242/jeb.248187] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2024] [Accepted: 09/09/2024] [Indexed: 09/26/2024]
Abstract
Cross-sectional area (CSA) is a fundamental variable in characterizing muscle mechanical properties. Typically, the CSA of a single muscle fibre is assessed by measuring either one or two diameters, and assuming the cross-section is either circular or elliptical in shape. However, fibre cross-sections have irregular shapes. The accuracy and precision of CSAs determined using circular and elliptical shape assumptions are unclear for mammalian skinned muscle fibres. Second harmonic generation imaging of skinned rabbit soleus fibres revealed that the circular assumption overstated real CSA by 5.3±25.9% whereas the elliptical assumption overstated real CSA by 2.8±6.9%. A preferred rotational alignment can bias the circular assumption, as real CSA was overstated by 22.1±24.8% when using the larger fibre diameter and understated by 11.4±13% when using the smaller fibre diameter. With 73% lower variable error and reduced bias, the elliptical assumption is superior to the circular assumption when assessing the CSA of skinned mammalian fibres.
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Affiliation(s)
- Abel Mebrahtu
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada, T2N 1N4
| | - Ian C Smith
- Ottawa Hospital Research Institute, 1053 Carling Ave, Ottawa, ON, Canada, K1Y 4E9
| | - Shuyue Liu
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada, T2N 1N4
| | - Ziad Abusara
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada, T2N 1N4
| | - Timothy R Leonard
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada, T2N 1N4
| | - Venus Joumaa
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada, T2N 1N4
| | - Walter Herzog
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, 2500 University Drive NW, Calgary, AB, Canada, T2N 1N4
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Patterson MA, Hinks A, Njai BS, Dalton BE, Hubbard EF, Power GA. Stretch-shortening cycles protect against the age-related loss of power generation in rat single muscle fibres. Exp Gerontol 2024; 190:112423. [PMID: 38608790 DOI: 10.1016/j.exger.2024.112423] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/16/2024] [Revised: 04/03/2024] [Accepted: 04/07/2024] [Indexed: 04/14/2024]
Abstract
Aging is associated with impaired strength and power during isometric and shortening contractions, however, during lengthening (i.e., eccentric) contractions, strength is maintained. During daily movements, muscles undergo stretch-shortening cycles (SSCs). It is unclear whether the age-related maintenance of eccentric strength offsets age-related impairments in power generation during SSCs owing to the utilization of elastic energy or other cross-bridge based mechanisms. Here we investigated how aging influences SSC performance at the single muscle fibre level and whether performing active lengthening prior to shortening protects against age-related impairments in power generation. Single muscle fibres from the psoas major of young (∼8 months; n = 31 fibres) and old (∼32 months; n = 41 fibres) male F344BN rats were dissected and chemically permeabilized. Fibres were mounted between a force transducer and length controller and maximally activated (pCa 4.5). For SSCs, fibres were lengthened from average sarcomere lengths of 2.5 to 3.0 μm and immediately shortened back to 2.5 μm at both fast and slow (0.15 and 0.60 Lo/s) lengthening and shortening speeds. The magnitude of the SSC effect was calculated by comparing work and power during shortening to an active shortening contraction not preceded by active lengthening. Absolute isometric force was ∼37 % lower in old compared to young rat single muscle fibres, however, when normalized to cross-sectional area (CSA), there was no longer a significant difference in isometric force between age groups, meanwhile there was an ∼50 % reduction in absolute power in old as compared with young. We demonstrated that SSCs significantly increased power production (75-110 %) in both young and old fibres when shortening occurred at a fast speed and provided protection against power-loss with aging. Therefore, in older adults during everyday movements, power is likely 'protected' in part due to the stretch-shortening cycle as compared with isolated shortening contractions.
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Affiliation(s)
- Makenna A Patterson
- Department of Human Health and Nutritional Sciences, College of Biological Sciences, University of Guelph, Guelph, Ontario, Canada
| | - Avery Hinks
- Department of Human Health and Nutritional Sciences, College of Biological Sciences, University of Guelph, Guelph, Ontario, Canada
| | - Binta S Njai
- Department of Human Health and Nutritional Sciences, College of Biological Sciences, University of Guelph, Guelph, Ontario, Canada
| | - Benjamin E Dalton
- Department of Human Health and Nutritional Sciences, College of Biological Sciences, University of Guelph, Guelph, Ontario, Canada
| | - Emma F Hubbard
- Department of Human Health and Nutritional Sciences, College of Biological Sciences, University of Guelph, Guelph, Ontario, Canada
| | - Geoffrey A Power
- Department of Human Health and Nutritional Sciences, College of Biological Sciences, University of Guelph, Guelph, Ontario, Canada.
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Smith IC, Herzog W. Assumptions about the cross-sectional shape of skinned muscle fibers can distort the relationship between muscle force and cross-sectional area. J Appl Physiol (1985) 2023; 135:1036-1040. [PMID: 37732377 DOI: 10.1152/japplphysiol.00383.2023] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/17/2023] [Revised: 08/28/2023] [Accepted: 09/14/2023] [Indexed: 09/22/2023] Open
Abstract
Comparisons of muscle force output are often performed after normalization to muscle physiological cross-sectional area (CSA). Differences in force per CSA (i.e., specific force) suggest the presence of physiological differences in contractile function. Permeabilized mammalian skeletal muscle fibers frequently exhibit substantial declines in specific force with increasing CSA, suggesting that smaller fibers are intrinsically stronger than larger fibers of the same group. However, the potential for CSA assessment error to account for CSA-dependent differences in specific force has not received adequate attention. Assessment of fiber CSA typically involves measurement of fiber width and perhaps also height, and CSA is calculated by assuming the cross sections are either circular or elliptical with major and minor axes aligned with the optical measurement system. Differences between the assumed and real cross-sectional shapes would cause variability in the ratio of assessed CSA (aCSA) to real CSA (rCSA). This variability can insidiously bias aCSA such that large aCSAs typically overstate rCSAs of the fibers they represent, and small aCSAs typically understate the rCSAs of the fibers they represent. As aCSA is the denominator for the specific force calculation, scatterplots of specific force versus aCSA would be expected to show declines in specific force as aCSA increases without a corresponding effect in a scatterplot of specific force versus rCSA. When comparing active and passive muscle forces between data subsets defined by aCSA, the impact of CSA assessment error should be considered before exploring other physiological mechanisms.
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Affiliation(s)
- Ian C Smith
- NeuroMuscular Centre, Ottawa Hospital Research Institute, Ottawa, Ontario, Canada
| | - Walter Herzog
- Human Performance Laboratory, Faculty of Kinesiology, University of Calgary, Alberta, Canada
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Hubbard EF, Hinks A, Mashouri P, Power GA. Influence of 4 weeks of downhill running on calcium sensitivity of rat single muscle fibers. Physiol Rep 2022; 10:e15450. [PMID: 36222183 PMCID: PMC9554763 DOI: 10.14814/phy2.15450] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2022] [Accepted: 08/14/2022] [Indexed: 06/16/2023] Open
Abstract
Improved Ca2+ sensitivity has been suggested as a mechanism behind enhancements in muscle mechanical function following eccentric training. However, little is known regarding the effects of eccentric training on single muscle fiber Ca2+ sensitivity. Adult male Sprague-Dawley rats (sacrificial age ~18 weeks; mass = 400.1 ± 34.8 g) were assigned to an eccentric training (n = 5) or sedentary control group (n = 6). Eccentric training consisted of 4 weeks of weighted downhill running 3×/week at a 15° decline and 16 m/min for 35 min per day in 5-min bouts. After sacrifice, vastus intermedius single muscle fibers were dissected, chemically permeabilized, and stored until testing. Fibers (n = 63) were isolated, and standard Ca2+ sensitivity, force, rate of force redevelopment (ktr ), and active instantaneous stiffness tests were performed using [Ca2+ ] ranging from 7.0 to 4.5. Following all mechanical testing, fiber type was determined using SDS-PAGE. There was no difference in pCa50 (i.e., [Ca2+ ] needed to elicit half of maximal force) between groups or between fiber types. However, when comparing normalized force across pCa values, fibers from the control group produced greater forces than fibers from the trained group at lower Ca2+ concentrations (p < 0.05), and this was most evident for Type I fibers (p = 0.002). Type II fibers produced faster (p < 0.001) ktr than Type I fibers, but there were no differences in absolute force, normalized force, or other measures of mechanical function between fibers from the trained and control groups. These findings indicate that eccentric training does not appear to improve single muscle fiber Ca2+ sensitivity.
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Affiliation(s)
- Emma F. Hubbard
- Department of Human Health and Nutritional Sciences, College of Biological SciencesUniversity of GuelphGuelphOntarioCanada
| | - Avery Hinks
- Department of Human Health and Nutritional Sciences, College of Biological SciencesUniversity of GuelphGuelphOntarioCanada
| | - Parastoo Mashouri
- Department of Human Health and Nutritional Sciences, College of Biological SciencesUniversity of GuelphGuelphOntarioCanada
| | - Geoffrey A. Power
- Department of Human Health and Nutritional Sciences, College of Biological SciencesUniversity of GuelphGuelphOntarioCanada
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