Biopolymerization chain reactions in protein synthesis

In this paper biopolymerization reaction of DNA molecules was studied. Chemical and mathematical models were considered. A complex mathematical model of biopolymerization generating microscopic and macroscopic balances of probability distribution function was derived. The three stages initiation, elongation and termination reactions were examined. The distribution function of the oligomers specifies concentration, and temperatures in the spatial coordinates and time and length of the oligonucleotides chains. The algorithm for oligomers concentration distribution and temperature distribution functions simulation was derived.本文针对DNA分子的生物聚合反应（biopolymerization reaction）展开研究。研究中考量了化学模型与数学模型两类研究框架，推导得到了生物聚合反应的复杂数学模型，该模型可生成满足微观与宏观平衡条件的概率分布函数。本文考察了引发、延伸与终止三个核心反应阶段。该寡聚物（oligomers）的分布函数可表征空间坐标、时间维度下的浓度与温度参数，以及寡核苷酸链（oligonucleotide chains）的链长信息。最终推导得到了用于模拟寡聚物浓度分布与温度分布函数的算法。