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对一个接近和远离平衡状态的简单原型肌肉模型的进一步分析。

Further analysis of a simple prototypal muscle model near to and far from equilibrium.

作者信息

Hill T L, Chen Y D

出版信息

Proc Natl Acad Sci U S A. 1974 Jun;71(6):2478-81. doi: 10.1073/pnas.71.6.2478.

DOI:10.1073/pnas.71.6.2478
PMID:4526221
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC388482/
Abstract

The same prototypal model used in a previous paper to illustrate proper construction of a muscle model is modified here with the much more realistic choice e(Deltap) = 10(8) rather than e(Deltap) = 100, where e(Deltap) is the ratio of physiological ATP activity to equilibrium ATP activity. For steady isotonic contractions, the range 1 </= e(Delta) </= 10(4) can be approximated quite well by use of linear terms only in expansions of F (force) and J (ATP flux) in powers of e(Delta) - 1 and v (velocity). This will presumably also be true in most cases of much more complicated models. However, this region is of theoretical interest only (irreversible thermodynamics, etc.) because F and J are very small. In addition, numerical calculations of F and J were made in the region 10(4) </= e(Delta) </= 10(8). The optimal efficiency eta(*) is larger under physiological conditions (about 1%) than at equilibrium by a factor of 2.1 x 10(4). The rate of entropy production is discussed in this connection.

摘要

在之前一篇论文中用于说明肌肉模型正确构建的同一原型模型,在此处进行了修改,采用了更为现实的选择,即(e(\Delta p)=10^8)而非(e(\Delta p)=100),其中(e(\Delta p))是生理ATP活性与平衡ATP活性的比值。对于稳定的等张收缩,仅通过在(F)(力)和(J)(ATP通量)关于(e(\Delta)-1)和(v)(速度)的幂次展开式中使用线性项,就可以很好地近似(1\leq e(\Delta)\leq10^4)这个范围。在大多数更为复杂的模型情况下,大概也是如此。然而,这个区域仅具有理论意义(不可逆热力学等),因为(F)和(J)非常小。此外,还在(10^4\leq e(\Delta)\leq10^8)区域进行了(F)和(J)的数值计算。生理条件下的最优效率(\eta^*)(约为1%)比平衡时大(2.1×10^4)倍。就此对熵产生率进行了讨论。

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本文引用的文献

1
Analysis of a simple prototypal muscle model near to and far from equilibrium.对一个接近和远离平衡状态的简单原型肌肉模型的分析。
Proc Natl Acad Sci U S A. 1974 May;71(5):1982-6. doi: 10.1073/pnas.71.5.1982.