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松弛长度附近受刺激的青蛙肌肉纤维对突然长度变化的张力反应。

Tension responses to sudden length change in stimulated frog muscle fibres near slack length.

作者信息

Ford L E, Huxley A F, Simmons R M

出版信息

J Physiol. 1977 Jul;269(2):441-515. doi: 10.1113/jphysiol.1977.sp011911.

Abstract
  1. Apparatus for applying a step change of length to an isolated muscle fibre is described. The step was complete in about 0.2 ms.2. Effects of tendon compliance were eliminated by using a spot-follower device and by gripping the tendons with metal clips close to the fibre ends.3. The natural frequency of the force transducer was above 10 kHz.4. Steps of various amplitudes and in either direction were applied to isolated muscle fibres about 6 mm long from the anterior tibial muscle of Rana temporaria during tetanic stimulation. Initial sarcomere length was 2.0-2.2 mum, and temperature was 0-3 degrees C.5. The tension response to a step could be divided into four phases. The initial response was an apparently elastic change during the step itself (phase 1). After the step was completed there was a rapid partial recovery towards the original tension (phase 2, lasting 2-5 ms), followed by a slowing or reversal of recovery (phase 3, 10-50 ms), and finally a much slower return to the original tension (phase 4). Most of this paper is concerned with phases 1 and 2.6. The initial tension change (phase 1) occurred synchronously with the applied length change, indicating that the fibres possess a compliance which is almost linear and almost undamped. Its stiffness is such that an instantaneous shortening of about 4 nm per half-sarcomere would bring the tension to zero from its isometric value.7. The absence of detectable damping during phase 1 indicates that the viscosity of a stimulated fibre is substantially less than the apparent viscosity of a fibre at rest.8. The instantaneous force-extension curve approached the length axis at a sharp angle and a negative tension appeared at the force transducer when a very large step was applied. These observations suggest that the structures responsible for the stiffness of the fibre remain rigid when they are not under tension.9. During the few milliseconds after the step (phase 2) the tension recovered part of the way toward the level which existed before the step. In shortening steps the time course of this recovery was adequately fitted by the sum of four exponential terms, and was similar in steps of different amplitude but with a time scale shorter the larger the step. In stretches the slow components were relatively larger than in releases.10. The tension level, T(2), approached during phase 2 depended only on the total amplitude of the step and not on the time course of the length change, provided it was complete in 1-2 ms. The extreme tension reached during a step could thus vary widely without detectable change in T(2).11. With stretches and releases of up to about 3 nm per half-sarcomere this early recovery was almost complete, so that the curve of T(2) against step amplitude was nearly horizontal. With larger releases the line curved downwards, reaching zero in a release of about 14 nm per half-sarcomere.12. When the temperature was raised both the developed tension and the stiffness increased, but the relative increase was greater for tension than for stiffness. The amount of instantaneous shortening needed to bring tension to zero was therefore also increased.13. A set of empirical equations is given which describe adequately the first few milliseconds of the tension change in response to any imposed time course of shortening.14. The rapid elasticity and early tension recovery resemble the response of a combination of two elastic components and one viscous component. Reasons are given for preferring an interpretation in terms of an undamped compliance in series with a damped compliance (Voigt element) rather than an undamped elasticity in parallel with a series combination of viscous and elastic components (Maxwell element).15. The rapid compliance does not correspond to the ;series elastic component' of two-component theories of muscle contraction.
摘要
  1. 本文描述了一种用于对分离的肌纤维施加长度阶跃变化的装置。该阶跃在约0.2毫秒内完成。

  2. 通过使用光斑跟踪装置以及用金属夹在靠近纤维末端处夹住肌腱,消除了肌腱顺应性的影响。

  3. 力传感器的固有频率高于10千赫兹。

  4. 在强直刺激期间,对来自林蛙胫前肌的约6毫米长的分离肌纤维施加了各种幅度和任意方向的阶跃。初始肌节长度为2.0 - 2.2微米,温度为0 - 3摄氏度。

  5. 对阶跃的张力响应可分为四个阶段。初始响应是在阶跃本身期间的明显弹性变化(阶段1)。阶跃完成后,张力迅速部分恢复到原始张力(阶段2,持续2 - 5毫秒),随后恢复减慢或反转(阶段3,10 - 50毫秒),最后非常缓慢地恢复到原始张力(阶段4)。本文大部分内容关注阶段1和阶段2。

  6. 初始张力变化(阶段1)与施加的长度变化同步发生,表明纤维具有几乎线性且几乎无阻尼的顺应性。其刚度使得每半个肌节约4纳米的瞬时缩短会使张力从等长值降至零。

  7. 阶段1中未检测到阻尼表明受刺激纤维的粘性远小于静止纤维的表观粘性。

  8. 当施加非常大的阶跃时,瞬时力 - 伸长曲线以锐角接近长度轴,并且力传感器处出现负张力。这些观察结果表明,负责纤维刚度的结构在未受张力时保持刚性。

  9. 在阶跃后的几毫秒内(阶段2),张力恢复到阶跃前水平的部分程度。在缩短阶跃中,这种恢复的时间进程由四个指数项的总和充分拟合,并且在不同幅度的阶跃中相似,但步长越大时间尺度越短。在拉伸中,慢成分比在释放中相对更大。

  10. 阶段2中达到的张力水平T(2)仅取决于阶跃的总幅度,而不取决于长度变化的时间进程,前提是它在1 - 2毫秒内完成。因此,阶跃期间达到的极限张力可以有很大变化,而T(2)没有可检测到的变化。

  11. 对于每半个肌节高达约3纳米的拉伸和释放,这种早期恢复几乎是完全的,因此T(2)相对于阶跃幅度的曲线几乎是水平的。对于更大的释放,曲线向下弯曲,在每半个肌节约14纳米的释放中达到零。

  12. 当温度升高时,产生的张力和刚度都增加,但张力的相对增加大于刚度。因此,使张力降至零所需的瞬时缩短量也增加。

  13. 给出了一组经验方程,它们充分描述了响应任何施加的缩短时间进程时张力变化的最初几毫秒。

  14. 快速弹性和早期张力恢复类似于两个弹性成分和一个粘性成分组合的响应。给出了倾向于用与一个阻尼顺应性串联的无阻尼顺应性(沃伊特元件)来解释而不是用与粘性和弹性成分的串联组合并联的无阻尼弹性(麦克斯韦元件)来解释的原因。

  15. 快速顺应性并不对应于肌肉收缩双成分理论中的“串联弹性成分”。

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本文引用的文献

1
The series elastic component of muscle.肌肉的串联弹性成分
Proc R Soc Lond B Biol Sci. 1950 Jul 24;137(887):273-80. doi: 10.1098/rspb.1950.0035.
3
An analysis of the mechanical components in frog's striated muscle.青蛙横纹肌中机械成分的分析。
J Physiol. 1958 Oct 31;143(3):515-40. doi: 10.1113/jphysiol.1958.sp006075.
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The mechanics of active muscle.主动肌的力学原理。
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