Sandblom J, Ring A, Eisenman G
Biophys J. 1982 May;38(2):93-104. doi: 10.1016/S0006-3495(82)84535-9.
By introducing external driving forces in rate-theory models of transport we show how the Eyring rate equations can be transformed into Ohm's law with potentials that obey Kirchhoff's second law. From such a formalism the state diagram of a multioccupancy multicomponent system can be directly converted into linear network with resistors connecting nodal (branch) points and with capacitances connecting each nodal point with a reference point. The external forces appear as emf or current generators in the network. This theory allows the algebraic methods of linear network theory to be used in solving the flux equations for multistate models and is particularly useful for making proper simplifying approximation in models of complex membrane structure. Some general properties of linear network representation are also deduced. It is shown, for instance, that Maxwell's reciprocity relationships of linear networks lead directly to Onsager's relationships in the near equilibrium region. Finally, as an example of the procedure, the equivalent circuit method is used to solve the equations for a few transport models.
通过在输运速率理论模型中引入外部驱动力，我们展示了如何将艾林速率方程转化为具有服从基尔霍夫第二定律的势的欧姆定律。从这样一种形式体系出发，多占据多组分系统的状态图可以直接转换为一个线性网络，其中电阻连接节点（分支）点，电容将每个节点点与一个参考点相连。外部力在网络中表现为电动势或电流发生器。该理论允许将线性网络理论的代数方法用于求解多状态模型的通量方程，并且对于在复杂膜结构模型中进行适当的简化近似特别有用。还推导了线性网络表示的一些一般性质。例如，表明线性网络的麦克斯韦互易关系在近平衡区域直接导致昂萨格关系。最后，作为该过程的一个例子，等效电路方法被用于求解一些输运模型的方程。
