Department of Hydrocarbon Chemistry, Faculty of Engineering, Kyoto University The study on polymers having bi-functionality and structure-dependence in their catalytic action was reviewed, as the enzyme model polymer. The enzyme model polymers were itemized into four; polymers having functional groups in their side chain, metal chelated polymers, templet polymers, and polyelectrolytes. They have several types of the bi-functionality in the catalysis and of the structure-dependence in the substrate-binding and the catalysis, respectively. An extent of the catalysis with the enzyme model polymer is different from that with the enxyme, at the present time. Also, it was made a description of the peculiar field which the enzyme model polymers extended.
A theoretical relation between permeability and the affinity of channels specific for the questioned ion species was derived in terms of the fluid mosaic model. It was mentioned that, when the affinity of channels to the permeable ion was not extremely high, the dependence of the chord conductance on membrance potential did not correctly represent the dependecne of the number of the conducting channels on membrane potential. Analyses of the relation of K permeability to [K]0 in Nitella and myelinated nerve fibres revealed that the affinity of K channels was independent of membrane potential, and neither so high that all the conducting channels were occupied by K+, nor so low that only a negligible fraction of the channels was occupied. Under such conditions, the actual relation of the number of open K channels to membrane potential may be estimated from the modified gK vs. E relation obtained by using the instantaneous current voltage relation.