Heglund N C, Fedak M A, Taylor C R, Cavagna G A
J Exp Biol. 1982 Apr;97:57-66. doi: 10.1242/jeb.97.1.57.
This is the final paper in or series examining the link between the energetics and mechanics of terrestrial locomotion. In this paper the kinetic energy of the limbs and body relative to the centre of mass (EKE, tot of paper two) is combined with the potential plus kinetic energy of the centre of mass (ECM, tot of paper three) to obtain the total mechanical energy (excluding elastic energy) of an animal during constant average-speed locomotion. The minimum mass-specific power required of the muscles and tendons to maintain the observed oscillations in total energy, Etot/Mb, can be described by one equation: Etot/Mb = 0.478 . vg 1.53 + 0.685 . vg + 0.072 where Etot/Mb is in W kg-1 and vg is in m s-1. This equation is independent of body size, applying equally as well to a chipmunk or a quail as to a horse or an ostrich. In marked contrast, the metabolic energy consumed by each gram of an animal as it moves along the ground at a constant speed increases linearly with speed and is proportional to Mb-0.3. Thus, we have found that each gram of tissue of a 30 g quail or chipmunk running at 3 m s-1 consumes metabolic energy at a rate about 15 times that of a 100 kg ostrich, horse or human running at the same speed while their muscles are performing work at the same rate. Our measurements demonstrate the importance of storage and recovery of elastic energy in larger animals, but they cannot confirm or exclude the possibility of elastic storage of energy in small animals. It seems clear that the rate at which animals consume energy during locomotion cannot be explained by assuming a constant efficiency between the energy consumed and the mechanical work performed by the muscles. It is suggested that the intrinsic velocity of shortening of the active muscle motor units (which is related to the rate of cycling of the cross bridges between actin and myosin) and the rate at which the muscles are turned on and off are the most important factors in determining the metabolic cost of constant-speed locomotion. Faster motor units are recruited as animals increase speed, and equivalent muscles of small animals have faster fibres than those of larger animals. Also, the muscles are turned on and off more quickly as an animal increases speed, and at the same speed a small animal will be turning muscles on and off at a much higher rate. These suggestions are testable, and future studies should determine if they are correct.
这是我们关于陆地运动能量学与力学之间联系系列研究的最后一篇论文。在本文中,肢体和身体相对于质心的动能(第二篇论文中的EKE,总计)与质心的势能加动能(第三篇论文中的ECM,总计)相结合,以获得动物在恒定平均速度运动期间的总机械能(不包括弹性能)。维持总能量中观察到的振荡所需的肌肉和肌腱的最小比功率,Etot/Mb,可以用一个方程来描述:Etot/Mb = 0.478·vg^1.53 + 0.685·vg + 0.072,其中Etot/Mb的单位是W kg^-1,vg的单位是m s^-1。这个方程与身体大小无关,同样适用于花栗鼠或鹌鹑,也适用于马或鸵鸟。与之形成鲜明对比的是,动物每克体重在地面上以恒定速度移动时消耗的代谢能量随速度线性增加,并且与Mb^-0.3成正比。因此,我们发现,一只30克重的鹌鹑或花栗鼠以3 m s^-1的速度奔跑时,每克组织消耗代谢能量的速率约为100千克重的鸵鸟、马或人类以相同速度奔跑时的15倍,而此时它们的肌肉以相同的速率做功。我们的测量结果证明了在较大动物中弹性能量储存和恢复的重要性,但无法证实或排除小动物中弹性能量储存的可能性。显然,不能通过假设消耗的能量与肌肉所做的机械功之间具有恒定效率来解释动物在运动过程中消耗能量的速率。有人提出,主动肌肉运动单位的内在缩短速度(这与肌动蛋白和肌球蛋白之间横桥的循环速率有关)以及肌肉开启和关闭的速率是决定匀速运动代谢成本的最重要因素。随着动物速度增加,更快的运动单位被募集,并且小动物的等效肌肉比大动物的肌肉具有更快的纤维。此外,随着动物速度增加,肌肉开启和关闭得更快,并且在相同速度下,小动物肌肉开启和关闭的速率要高得多。这些建议是可检验的,未来的研究应该确定它们是否正确。