糖酵解振荡的热力学最优性
Thermodynamic optimality of glycolytic oscillations
摘要：
生命物质的时间顺序反映了脱离热力学平衡的动力学过程的自组织性质。由于功能原因，生化振荡的周期必须精确地调整到特定值;然而，根据热力学不确定关系（TUR），振荡周期的精确性受到产生振荡周期的热力学成本的限制。在回顾了化学振荡的基本原理之后，以八聚体磷酸果糖激酶（PFK）为模型系统，研究了其产生的糖酵解振荡，已知其显示几分钟的周期。通过探索糖酵解振荡的相空间，我们发现细胞条件下的糖酵解振荡是以成本有效的方式实现的。具体地，在糖酵解和八聚体PFK的参数值的生物相关范围内，当振荡周期为（5 - 10）分钟时，来自糖酵解振荡的熵产生最小。此外，糖酵解振荡被发现在极限环的相边界附近工作，这表明葡萄糖注射速率的适度增加导致振荡动力学的损失，这让人想起由血糖水平升高导致的脉动胰岛素释放的损失。
英文摘要：
Temporal order in living matters reflects the self-organizing nature of dynamical processes driven out of thermodynamic equilibrium. Because of functional reason, the period of a biochemical oscillation must be tuned to a specific value with precision; however, according to the thermodynamic uncertainty relation (TUR), the precision of oscillatory period is constrained by the thermodynamic cost of generating it. After reviewing the basics of chemical oscillations using Brusselator as a model system, we study the glycolytic oscillation generated by octameric phosphofructokinase (PFK), which is known to display a period of several minutes. By exploring the phase space of glycolytic oscillations, we find that the glycolytic oscillation under the cellular condition is realized in a cost effective manner. Specifically, over the biologically relevant range of parameter values of glycolysis and octameric PFK, the entropy production from the glycolytic oscillation is minimal when the oscillation period is (5 - 10) minutes. Further, the glycolytic oscillation is found at work near the phase boundary of limit cycles, suggesting that a moderate increase of glucose injection rate leads to the loss of oscillatory dynamics, which is reminiscent of the loss of pulsatile insulin release resulting from elevated blood glucose level.
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