{"id":834,"date":"2026-05-18T08:45:50","date_gmt":"2026-05-18T05:45:50","guid":{"rendered":"https:\/\/www.life-on.com.ua\/?p=834"},"modified":"2026-05-18T08:45:51","modified_gmt":"2026-05-18T05:45:51","slug":"critical-power-strength-training-fatigue","status":"publish","type":"post","link":"https:\/\/www.life-on.com.ua\/en\/critical-power-strength-training-fatigue\/","title":{"rendered":"Critical power for strengths: 8 second error vs 19."},"content":{"rendered":"<p class=\"wp-block-paragraph\">Critical power is the physiological power output that can be sustained for a prolonged period without transitioning into an unsustainable state. Since the 1960s, critical power has been applied to cycling and running. Recent research by Wu et al. (J Biomed Eng 2026) has adapted the model for resistance exercise and demonstrated: an improved version predicts time to failure with an error of 8 seconds compared to 19 seconds for the baseline model. This is the difference between \u201capproximately\u201d and \u201cpractically useful.\u201d.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What have [they\/you] done<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Researchers at the Chinese Centre for Biomedical Engineering have taken the classic critical power (CP) model, which has been used for cycling and running since the 1960s. They have adapted it for <strong>dynamic strength exercises<\/strong> Dumbbell curls.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The classic CP model has two parameters:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>CP<\/strong> \u2014 power that can be sustained \u201cindefinitely\u201d (theoretically). In practice - 30-60 minutes.<\/li>\n\n\n\n<li><strong>Which\u2019<\/strong> (\u201cW prime\u201d) \u2014 the final amount of work that can be done <strong>Above<\/strong> CP. Looks like an anaerobic reserve \u201cbattery\u201d.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The logic is simple. If you output 110% CP, you consume W\u2019 proportionally. When W\u2019 = 0, depletion sets in. Example: CP = 200 W, W\u2019 = 20 kJ. You\u2019re running at 240 W (+40 W above CP). W\u2019 will run out in 20,000 \/ 40 = 500 seconds.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Wu and colleagues improved this model for the strength context and tested it on dumbbell biceps curls.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What did you find<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Accuracy of predicting exercise duration (time to failure):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Critical power base model: mean error <strong>19.79 seconds<\/strong><\/li>\n\n\n\n<li>Improved model: mean error <strong>8.01 seconds<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Translation: if you\u2019re doing 10 kg curls to failure, and failure occurs after ~60 seconds \u2014 the old model is off by 33%, the new one by 13%. That\u2019s the difference between \u201croughly\u201d and \u201cpractically useful\u201d.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This <strong>Mathematical<\/strong> Improvements. Not new physiology, not a new formula. More precise processing of the same data, taking into account the dynamics of fatigue in strength exercises.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u201cTo refusal\u201d is not precise<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">On Instagram, \u201cto the point of exhaustion\u201d sounds like a single, clear benchmark. In physiological reality, this concept conflates several phenomena.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Technical failure.<\/strong> The last rep with compromised form. It is not true muscular failure \u2013 it is neuromuscular. The CNS lowers drive to avoid injury.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Concentric rejection.<\/strong> You can't lift the barbell from the bottom position. The muscle can still hold, but it cannot shorten. This is a classic \u201cto failure\u201d in strength training.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Isometric disclaimer.<\/strong> You cannot hold the position. This is already a deeper point.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Complete exhaustion.<\/strong> You can't move at all. Healthy people hardly get there because the CNS stops them earlier.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u201cTo failure\u201d in different people, settings and exercises can mean different of these points. Hence the noise: one study says \u201cto failure 8 repetitions\u201d, another - 14. This is not a contradiction. This is a vague definition.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Critical power gives <strong>an objective physiological point<\/strong>: not \u201csense of effort\u201d, but a specific relationship between work power and CP. This is a better metric.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Critical power is important for amateurs because it represents the highest sustainable power output an athlete can maintain for an extended period. Understanding and training to improve critical power allows amateurs to:\n\n*   **Improve endurance:** By increasing critical power, athletes can sustain higher efforts for longer, making them more competitive in events and improving their overall stamina.\n*   **Pace effectively:** Knowing your critical power helps in setting realistic and achievable pacing strategies for races and training rides, preventing premature fatigue.\n*   **Optimise training:** Critical power is a key metric for designing training zones. Training near or above your critical power can be highly effective for improving fitness efficiently.\n*   **Track progress:** As an amateur's fitness improves, their critical power will increase, providing a quantifiable measure of their progress over time.\n*   **Enhance performance in various disciplines:** Whether it's cycling, running, or triathlon, a higher critical power generally translates to better performance.<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Volume dosing without overreaching.<\/strong> If you know your CP and W\u2019 for a particular exercise, you can plan accurately. For example: \u201cToday I\u2019ll use 60% W\u2019 in my workout; I\u2019ll need to recover by tomorrow.\u201d This is the basic logic behind programmed training. In elite sport, it\u2019s standard practice. In the gym, it\u2019s a rarity.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Understanding between-set fatigue.<\/strong> W\u2019 does not recover instantly. A standard 1\u20132-minute rest period results in partial recovery of W\u2019 (approximately 50\u201370%, depending on the individual). A 3\u20135-minute rest period results in near-complete recovery. This explains why, in strength training with short rest periods, the number of repetitions drops rapidly. You simply haven\u2019t fully recovered your W\u2019.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Why RIR\/RPE are proxies.<\/strong> RIR (reps in reserve) is a subjective assessment of how many repetitions are left before failure. RPE is a related scale of effort. Both are popular because they are easy to apply. But both are approximations of what critical power provides objectively. A trained person assesses RIR with an error of ~1-2 reps. CP\/W\u2019 does this without subjectivity when data is available.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is the very shift from the subjective to the objective that occurs with all training metrics \u2014 from the feeling of \u201crunning at 80%\u201d to the specific watts on the power meter. In <a href=\"https:\/\/www.life-on.com.ua\/en\/sprint-intervals-insulin\/\">Sprint intervals for insulin sensitivity<\/a> This allows us to track the minimum effective work. Critical power does the same for strength \u2014 it sets the upper limit.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Why doesn't this mean \u201ctrain with the lab\u201d?\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Measure CP\/W\u2019 for a specific exercise <strong>Not just<\/strong>. The classic method is a series of \u201cmaximal effort to exhaustion\u201d tests with different loads. Then, regression using the hyperbolic power-duration curve. For an amateur, this is unrealistic.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>What works as a practical compromise:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>RIR-based programming.<\/strong> Leave 1\u20132 reps in reserve on most sets. This roughly equates to working slightly above CP. Sustainable, with progression, without a breaking point.<\/li>\n\n\n\n<li><strong>One approach to the end of the line.<\/strong> If you want to assess \u201cwhere you are now\u201d \u2013 one or two sets to concentric failure at the end of a workout. Not every set. Not every day.<\/li>\n\n\n\n<li><strong>Cycling and running - critical power is easy.<\/strong> If you train with a power meter on your bike, FTP (functional threshold power) tests are a practical approximation of CP. Many programmes use this.<\/li>\n\n\n\n<li><strong>Running apps<\/strong> (Stryd, COROS, Garmin) calculate running CP automatically from training data. This is not complete laboratory accuracy. But it is sufficient for practice.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">What's new does critical power add to the power model<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The work by Wu et al. did not \u201cfind a new molecule\u201d. It <strong>Methodological improvement<\/strong>, which shifts strength exercises from the \u201cnot modelled\u201d category to the \u201cacceptably modelled\u201d category. In 5\u201310 years, this could become the basis for:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Smart strength training machines that know your W\u2019 and automatically stop your set at the right moment<\/li>\n\n\n\n<li>Wearable sensors that calculate critical power from real training data<\/li>\n\n\n\n<li>Algorithms for an adaptive programme that changes from training session to training session<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Currently, it's a tool for biomechanics and researchers. In a few years, it could be in every gym.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Restrictions<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Dumbbell curls are a simple isolation exercise. Complex compound movements (squats, deadlifts) have a different dynamic. The model may require further adaptation.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Individual variation is huge. CP and W\u2019 depend on muscle fibre type, training status, and genetics. \u201cAverage error of 8 secs\u201d is the group average. For a specific individual, it can be larger.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is bench-scale work. Until wearable sensors emerge that can calculate CP\/W\u2019 from ordinary training data, for an amateur it remains conceptual information. Not a practical tool.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u201cUntil failure\u201d is not a scientific metric. It's a vernacular one. Physiology provides objective points. Critical power divides steady and unsteady states. W\u2019 divides the reserve into specific kilojoules. The more accurate the models, the more precisely one can train without excessive fatigue and without insufficient stimulus.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For most people, RIR\/RPE is currently an accessible practical tool. But the direction is clear. Objective dosing will also come to the amateur gym. It's a matter of technology and time.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Source:<\/strong> Wu X, Shang J, Niu X, et al. Quantitative assessment of muscle fatigue based on improved critical power model. <em>Journal of Biomedical Engineering<\/em> 2026. DOI: <a href=\"https:\/\/doi.org\/10.7507\/1001-5515.202510061\" target=\"_blank\" rel=\"noopener\">10.7507\/1001-5515.202510061<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Additionally:<\/strong> Monod H, Scherrer J, <em>Ergonomics<\/em> 1965 (original CP model); Jones AM et al., <a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/20019636\/\" target=\"_blank\" rel=\"noopener\">Critical power: implications for determination of VO2max and exercise tolerance<\/a>, <em>Med Sci Sports Exerc<\/em> 2010.<\/p>","protected":false},"excerpt":{"rendered":"<p>Critical power is the physiological power output that can be maintained for a prolonged duration without transitioning into an unstable state. Since the 1960s, critical power has been applied to cycling and running. A recent study by Wu et al. (J Biomed Eng 2026) adapted the model for resistance exercises and demonstrated: an improved version predicted time to failure with an error of 8 seconds compared to 19 for the baseline. This is...<\/p>","protected":false},"author":1,"featured_media":835,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_kadence_starter_templates_imported_post":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_kad_post_classname":"","footnotes":""},"categories":[1],"tags":[94,91,92,95,93,12,49],"class_list":["post-834","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1","tag-critical-power","tag-muscle-fatigue","tag-rir","tag-rpe","tag-strength-training","tag-12","tag-49"],"_links":{"self":[{"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/posts\/834","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/comments?post=834"}],"version-history":[{"count":1,"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/posts\/834\/revisions"}],"predecessor-version":[{"id":836,"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/posts\/834\/revisions\/836"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/media\/835"}],"wp:attachment":[{"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/media?parent=834"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/categories?post=834"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.life-on.com.ua\/en\/wp-json\/wp\/v2\/tags?post=834"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}