• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利:CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法,用中文像聊天一样搜索,搜遍4000万医学文献。AI智能推荐,让科研检索更轻松。

立即免费搜索

文件翻译

保留排版,准确专业,支持PDF/Word/PPT等文件格式,支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述,25分钟生成高质量综述,智能提取关键信息,辅助科研写作。

立即免费体验

合作起草的效益建模:是否有最优策略来促进 2 小时内完成马拉松比赛?

Modeling the Benefits of Cooperative Drafting: Is There an Optimal Strategy to Facilitate a Sub-2-Hour Marathon Performance?

机构信息

Locomotion Lab, Department of Integrative Physiology, University of Colorado, Boulder, 354 UCB, Boulder, CO, 80309-0354, USA.

Department of Mathematics and Statistics, Swenson College of Science and Engineering, University of Minnesota, Duluth, 104 Solon Campus Center, Duluth, MN, 55812, USA.

出版信息

Sports Med. 2018 Dec;48(12):2859-2867. doi: 10.1007/s40279-018-0991-4.

DOI:10.1007/s40279-018-0991-4
PMID:30298477
Abstract

BACKGROUND

During a race, competing cyclists often cooperate by alternating between leading and drafting positions. This approach allows them to maximize velocity by using the energy saved while drafting, a technique to reduce the overall drag by exploiting the leader's slipstream. We have argued that a similar cooperative drafting approach could benefit elite marathon runners in their quest for the sub-2-hour marathon.

OBJECTIVE

Our aim was to model the effects of various cooperative drafting scenarios on marathon performance by applying the critical velocity concept for intermittent high-intensity running.

METHODS

We used the physiological characteristics of the world's most elite long-distance runners and mathematically simulated the depletion and recovery of their distance capacity when running above and below their critical velocity throughout a marathon.

RESULTS

Our simulations showed that with four of the most elite runners in the world, a 2:00:48 (h:min:s) marathon is possible, a whopping 2 min faster than the current world record. We also explored the possibility of a sub-2-hour marathon using multiple runners with the physiological characteristics of Eliud Kipchoge, arguably the best marathon runner of our time. We found that a team of eight Kipchoge-like runners could break the sub-2-hour marathon barrier.

CONCLUSION

In the context of cooperative drafting, we show that the best team strategy for improving marathon performance time can be optimized using a mathematical model that is based on the physiological characteristics of each athlete.

摘要

背景

在比赛中,参赛自行车手经常通过轮流处于领先和跟随位置来进行合作。这种方法允许他们通过利用跟随时节省的能量来最大化速度,这种技术通过利用领先者的尾流来减少整体阻力。我们认为,类似的合作跟随方法可以使精英马拉松运动员受益,帮助他们实现 2 小时内跑完马拉松的目标。

目的

我们的目的是通过应用间歇性高强度跑步的临界速度概念,来模拟各种合作跟随方案对马拉松表现的影响。

方法

我们使用世界上最优秀的长跑运动员的生理特征,并且通过数学模拟,当他们在马拉松比赛中超过和低于临界速度时,他们的距离能力的消耗和恢复情况。

结果

我们的模拟结果表明,有 4 位世界上最优秀的长跑运动员,可能实现 2 小时 00 分 48 秒(小时:分钟:秒)的马拉松成绩,比当前的世界纪录快 2 分钟。我们还探索了使用多位具有埃利乌德·基普乔格生理特征的跑步者实现 2 小时内马拉松的可能性,埃利乌德·基普乔格可以说是我们这个时代最优秀的马拉松运动员。我们发现,一个由 8 名基普乔格式跑步者组成的团队可以打破 2 小时内马拉松的障碍。

结论

在合作跟随的背景下,我们表明,使用基于每个运动员生理特征的数学模型,可以优化提高马拉松表现时间的最佳团队策略。

相似文献

1
Modeling the Benefits of Cooperative Drafting: Is There an Optimal Strategy to Facilitate a Sub-2-Hour Marathon Performance?合作起草的效益建模:是否有最优策略来促进 2 小时内完成马拉松比赛?
Sports Med. 2018 Dec;48(12):2859-2867. doi: 10.1007/s40279-018-0991-4.
2
In memory of Kelvin Kiptum: a reflection on his record-breaking marathon and the future outlook for a sub 2-h race from a drafting perspective.纪念基普图姆:从跟跑角度反思他打破马拉松纪录的比赛和未来破 2 小时比赛的前景。
Eur J Appl Physiol. 2024 Aug;124(8):2379-2388. doi: 10.1007/s00421-024-05458-7. Epub 2024 Mar 24.
3
How Biomechanical Improvements in Running Economy Could Break the 2-hour Marathon Barrier.跑步经济性方面的生物力学改进如何打破 2 小时马拉松障碍。
Sports Med. 2017 Sep;47(9):1739-1750. doi: 10.1007/s40279-017-0708-0.
4
How much further for the sub-2-hour marathon?距离两小时内跑完马拉松还有多远?
Open Access J Sports Med. 2018 Jul 31;9:139-145. doi: 10.2147/OAJSM.S169758. eCollection 2018.
5
The metabolic cost of emulated aerodynamic drag forces in marathon running.模拟马拉松跑步时空气动力阻力的代谢成本。
J Appl Physiol (1985). 2022 Sep 1;133(3):766-776. doi: 10.1152/japplphysiol.00086.2022. Epub 2022 Jul 14.
6
Race Analysis of the World's Best Female and Male Marathon Runners.世界顶尖男女马拉松跑者的种族分析。
Int J Environ Res Public Health. 2020 Feb 13;17(4):1177. doi: 10.3390/ijerph17041177.
7
Aerodynamic effects and performance improvements of running in drafting formations.在尾随编队中跑步的空气动力学效应及性能提升
J Biomech. 2021 Jun 9;122:110457. doi: 10.1016/j.jbiomech.2021.110457. Epub 2021 Apr 22.
8
Reflecting on Eliud Kipchoge's Marathon World Record: An Update to Our Model of Cooperative Drafting and Its Potential for a Sub-2-Hour Performance.反思埃鲁德·基普乔格的马拉松世界纪录:我们的合作 drafting 模型的更新及其实现两小时以内成绩的潜力。 注:这里“drafting”可能在医学文献语境中有特定专业含义,结合整体内容推测可能是“配速策略”之类,但仅按要求准确翻译字面内容。
Sports Med. 2019 Feb;49(2):167-170. doi: 10.1007/s40279-019-01056-2.
9
Physiological demands of running at 2-hour marathon race pace.2 小时马拉松比赛配速跑的生理需求。
J Appl Physiol (1985). 2021 Feb 1;130(2):369-379. doi: 10.1152/japplphysiol.00647.2020. Epub 2020 Nov 5.
10
Numerical investigation of the impact of Kenenisa Bekele's cooperative drafting strategy on its running power during the 2019 Berlin marathon.关于凯内尼萨·贝克勒在2019年柏林马拉松比赛中的合作领跑策略对其跑步功率影响的数值研究。
J Biomech. 2020 Jun 23;107:109854. doi: 10.1016/j.jbiomech.2020.109854. Epub 2020 May 23.

引用本文的文献

1
The Sub 2-h Official Marathon is Possible: Developing a Drafting Strategy for a Historic Breakthrough in Sports.两小时内完成正式马拉松赛是可能的:为体育史上的一次历史性突破制定跟随战术。
Sports Med Open. 2025 Jan 27;11(1):11. doi: 10.1186/s40798-024-00802-9.
2
Pacing strategies in marathons: A systematic review.马拉松比赛中的配速策略:一项系统综述。
Heliyon. 2024 Aug 23;10(17):e36760. doi: 10.1016/j.heliyon.2024.e36760. eCollection 2024 Sep 15.
3
Can the recent sex-specific evolutions in elite running performances be attributed to advanced footwear technology?

本文引用的文献

1
A Comparison of the Energetic Cost of Running in Marathon Racing Shoes.马拉松跑鞋的能量消耗比较。
Sports Med. 2018 Apr;48(4):1009-1019. doi: 10.1007/s40279-017-0811-2.
2
Optimizing the Team for Required Power During Track-Cycling Team Pursuit.在场地自行车团体追逐赛中优化团队所需功率。
Int J Sports Physiol Perform. 2017 Nov 1;12(10):1385-1391. doi: 10.1123/ijspp.2016-0451. Epub 2017 Dec 19.
3
The 'Critical Power' Concept: Applications to Sports Performance with a Focus on Intermittent High-Intensity Exercise.“临界功率”概念:在间歇性高强度运动中对运动表现的应用。
精英跑步成绩最近出现的性别特异性演变能归因于先进的鞋类技术吗?
Front Sports Act Living. 2024 May 14;6:1386627. doi: 10.3389/fspor.2024.1386627. eCollection 2024.
4
Be Aware of the Benefits of Drafting in Sports and Take Your Advantage: A Meta-Analysis.了解运动中牵伸的益处并加以利用:一项荟萃分析。
Transl Sports Med. 2023 Nov 8;2023:3254847. doi: 10.1155/2023/3254847. eCollection 2023.
5
In memory of Kelvin Kiptum: a reflection on his record-breaking marathon and the future outlook for a sub 2-h race from a drafting perspective.纪念基普图姆:从跟跑角度反思他打破马拉松纪录的比赛和未来破 2 小时比赛的前景。
Eur J Appl Physiol. 2024 Aug;124(8):2379-2388. doi: 10.1007/s00421-024-05458-7. Epub 2024 Mar 24.
6
The effect of advanced footwear technology on elite male marathon race speed.先进的鞋类技术对精英男性马拉松比赛速度的影响。
Eur J Appl Physiol. 2024 Apr;124(4):1143-1149. doi: 10.1007/s00421-023-05341-x. Epub 2023 Nov 3.
7
The molecular athlete: exercise physiology from mechanisms to medals.分子运动员:从机制到奖牌的运动生理学。
Physiol Rev. 2023 Jul 1;103(3):1693-1787. doi: 10.1152/physrev.00017.2022. Epub 2023 Jan 5.
8
Neither Beetroot Juice Supplementation nor Increased Carbohydrate Oxidation Enhance Economy of Prolonged Exercise in Elite Race Walkers.补充甜菜根汁和增加碳水化合物氧化都不能提高优秀竞走运动员长时间运动的经济性。
Nutrients. 2021 Aug 12;13(8):2767. doi: 10.3390/nu13082767.
9
Pacing profiles and tactical behaviors of elite runners.精英跑者的配速模式和战术行为。
J Sport Health Sci. 2021 Sep;10(5):537-549. doi: 10.1016/j.jshs.2020.06.011. Epub 2020 Jun 26.
10
A survey of mathematical models of human performance using power and energy.一项关于使用功率和能量的人类绩效数学模型的调查。
Sports Med Open. 2019 Dec 27;5(1):54. doi: 10.1186/s40798-019-0230-z.
Sports Med. 2017 Mar;47(Suppl 1):65-78. doi: 10.1007/s40279-017-0688-0.
4
How Biomechanical Improvements in Running Economy Could Break the 2-hour Marathon Barrier.跑步经济性方面的生物力学改进如何打破 2 小时马拉松障碍。
Sports Med. 2017 Sep;47(9):1739-1750. doi: 10.1007/s40279-017-0708-0.
5
Critical Power: An Important Fatigue Threshold in Exercise Physiology.临界功率:运动生理学中的一个重要疲劳阈值。
Med Sci Sports Exerc. 2016 Nov;48(11):2320-2334. doi: 10.1249/MSS.0000000000000939.
6
Factors affecting the energy cost of level running at submaximal speed.影响亚最大速度下水平跑步能量消耗的因素。
Eur J Appl Physiol. 2015 Apr;115(4):651-73. doi: 10.1007/s00421-015-3115-y. Epub 2015 Feb 14.
7
Intramuscular determinants of the ability to recover work capacity above critical power.恢复高于临界功率工作能力的肌肉内决定因素。
Eur J Appl Physiol. 2015 Apr;115(4):703-13. doi: 10.1007/s00421-014-3050-3. Epub 2014 Nov 26.
8
A single test for the determination of parameters of the speed-time relationship for running.用于确定跑步速度-时间关系参数的单项测试。
Respir Physiol Neurobiol. 2013 Jan 15;185(2):380-5. doi: 10.1016/j.resp.2012.08.024. Epub 2012 Sep 5.
9
Modeling the expenditure and reconstitution of work capacity above critical power.建立高于无氧阈功率的运动能力消耗和恢复模型。
Med Sci Sports Exerc. 2012 Aug;44(8):1526-32. doi: 10.1249/MSS.0b013e3182517a80.
10
Critical power: implications for determination of V˙O2max and exercise tolerance.关键功率:对 V˙O2max 和运动耐力测定的影响。
Med Sci Sports Exerc. 2010 Oct;42(10):1876-90. doi: 10.1249/MSS.0b013e3181d9cf7f.