Smith J D
Department of Mathematics, Iowa State University, Ames 50011, USA.
Math Biosci. 1996 Apr 1;133(1):69-83. doi: 10.1016/0025-5564(95)00081-x.
Gibbs' canonical ensemble model from equilibrium statistical mechanics furnishes solutions to Eigen's phenomenological rate equations under constant total organization in cases with or without mutability. The evolution of species with mutation under constant total organization reduces to the evolution of substantial virtual species without mutation under the same constant total organization. Application of the canonical ensemble model provides an exact correspondence between thermodynamic and biological parameters. In particular, evolutionary time, as the analog of temperature, emerges as a statistical aggregate of the condition of the evolving system.
来自平衡统计力学的吉布斯正则系综模型,为具有或不具有可变性的恒定总组织情况下的艾根现象学速率方程提供了解决方案。在恒定总组织下具有突变的物种进化,简化为在相同恒定总组织下无突变的实质虚拟物种的进化。正则系综模型的应用提供了热力学参数与生物学参数之间的精确对应关系。特别是,作为温度类似物的进化时间,表现为进化系统状态的统计集合。