Curnow R N
Department of Applied Statistics, University of Reading, U.K.
J Theor Biol. 1988 Sep 9;134(1):51-7. doi: 10.1016/s0022-5193(88)80301-1.
In a recent paper Giulio & Caldararo (1987) used a Markov chain model to study the evolution of proteins. Unfortunately, their use of a first-order Markov chain model at the amino acid level is incorrect. The model has to be applied at the codon level [Jorre & Curnow (1975a)] followed by amalgamation of the codon states corresponding to each amino acid and of the three codons specifying termination. The model is correctly applied in this paper. The results obtained do not differ substantially from those obtained by Giulio & Caldararo (1987). The interpretation of the results as supporting the neutralist view of protein evolution is criticized.
朱利奥和卡尔达拉罗（1987年）在最近的一篇论文中使用马尔可夫链模型来研究蛋白质的进化。不幸的是，他们在氨基酸水平上使用一阶马尔可夫链模型是不正确的。该模型必须应用于密码子水平[乔尔和卡诺（1975a）]，然后合并对应于每个氨基酸的密码子状态以及指定终止的三个密码子。本文正确应用了该模型。所得结果与朱利奥和卡尔达拉罗（1987年）所得结果没有实质性差异。将结果解释为支持蛋白质进化的中性论观点受到了批评。
