基于最优控制的生物化学热力学变分框架
On the variational framework employing optimal control for biochemical thermodynamics
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中文总结 AI 辅助
本文利用最大能量耗散原理和变分框架，为基本非线性耗散动力学模型构建拉格朗日量，并证明该框架与非线性平衡热力学一致。
中文摘要 AI 辅助
最大能量耗散原理可成功应用于描述一系列基本非线性模型。一般变分框架（Moroz，2008，2009，2010）的应用已在基本线性方案中得到说明。本文研究表明，在此水平的生物分子和生物物理现象中，动力学过程可以有效地用最大能量耗散原理及其变分表述来描述。基于这种方法，针对基本非线性耗散动力学模型提出了一系列拉格朗日量。研究结果表明，该框架与非线性平衡热力学一致。
英文摘要
The maximum energy dissipation principle can be successfully applied to describe a range of basic nonlinear models. The application of the general variational framework (Moroz, 2008, 2009, 2010) has been illustrated for basic linear schemes. The study presented in the paper shows how the kinetic processes at this level of the biomolecular and biophysical phenomena can be effectively described in terms of the maximum energy dissipation principle and its variational formulation. On the basis of this approach, a range of Lagrangians was proposed for basic nonlinear dissipative kinetic models. The results of this study show that the framework is in agreement with nonlinear equilibrium thermodynamics.
