PCR扩增试验的动力学数学模型

PCR技术已日趋成熟,但因为影响因素较多、反应过程比较复杂,直到目前PCR技术已创立近二十年,尚未能给出较好的描述PCR 反应的数学方法。我们根据它的基本原理提出了能够描述其反应过程的动力学方程：Wamp=［Ntarg×(1+P)n1+0.5×Cenz×U×P×Ceactiv×(n-n1)-Ntarg× (1+n×P)］×Cu×M,准确地描述了PCR反应的产物积累规律,建立了PCR反应的动力学数学模型。用动力学数学模型预测的PE 7700仪器的CT值与仪器的实际数值一致。动力学数学模型配合适当的监测设备可以构成自动化的PCR 定量仪器。PE 7700 仪器使用本动力学模型处理、分析数据,定量结果的准确性会更好。各实验室可根据各自的实验条件,由模型估算PCR产物数量,为PCR后产物继续处理提供较准确的数量信息。本模型阐明了PCR反应在多次循环后必然由指数扩增转变为线性扩增的分子基础,为定量PCR 提供了准确的计算方法。 Abstract:The PCR technique has been set up for nearly twenty years and is becoming more and more ripe.But because of the multiple influencing factors and complicated reaction procedures,no mathematical method that can describe the PCR reaction has been given.On the basis of its elementary principle,we suggested a kinetic equation to describe the reaction procedure,Wamp=［Ntarg×(1+P)n1+0.5×Cenz×U×P×Ceactive×(n-nl)-Ntarg×(1+n×P)］×Cu×M.This equation can describe correctly the accumulation rule of PCR product and thus build up the kinetic-mathematical model of PCR reaction.The predicted CT value of PE 7700 by the kinetic-mathematical model was in accordance with the real value detected by the machine.This kinetic-mathematical model accompanied by proper detecting equipment and computer could make an automatic PCR instrument,which would produce much better result.A laboratory can predict the amount of PCR product by this model and provide accurate information for further handling of PCR product according to its own condition.In this model,the molecular basis that PCR reaction is doomed to change from exponential amplification to linear amplification had been clarified.     

新定量PCR数据处理方法的理论探讨

日新月异的生命科学技术的发展及临床医学科学研究的需求,一般的PCR技术已远远不能满足工作的需要。PE公司在进行了大量的PCR动力学研究的基础上,发现了利用荧光标记探针在PCR循环过程中积累的荧光强度达到仪器捡出阈值时,系统的初始模板数量与循环次数之间有线性关系,据此建立了目前的PE 7700 、PE 5700仪器的定量PCR技术,开创了PCR技术的新局面。但是由于这一技术的误差较大,尚不能满足生命科学及临床医学科学研究的需求,因此需要继续研究新的定量PCR技术。PCR动力学数学模型是根据PCR 技术的原理提出的,能够准确描述PCR反应产物分子数量积累规律的动力学方程,给出了PCR产物数量或者荧光强度与初始模板数量及其他反应条件间的函数关系。利用这一关系,根据PCR反应已积累的产物数量,可以实现准确的定量PCR分析,得到初始模板数量达到定量PCR的目的。使用动力学数学模型做定量PCR分析,其结果的误差仅与使用的荧光强度数值的精确度相关。使用精确到6位数的荧光强度数据,模板数自100~1 000 000区间定量结果的准确性可达99%以上。本文根据模拟实验数据进行了初步的定量PCR分析,结果提示,目前的定量PCR仪器使用PCR动力学模型理论处理分析数据,定量分析的结果会比目前的CT值方法在准确性方面提高几十倍以上,可以满足各方面研究工作误差水平的需要。 Abstract:Today standard PCR can't satisfy the need of biotechnique development and clinical research any more.After numerous dynamic research,PE company found there is a linear relation between initial template number and cycling time when the accumulating fluorescent product is detectable.Therefore,they developed a quantitative PCR technique to be used in PE7700 and PE5700.But the error of this technique is too great to satisfy the need of biotechnique development and clinical research.A better quantitative PCR technique is needed.The mathematical model submitted here is combined with the achievement of relative science,and based on the PCR principle and careful analysis of molecular relationship of main members in PCR reaction system.This model describes the function relation between product quantity or fluorescence intensity and initial template number and other reaction conditions,and can reflect the accumulating rule of PCR product molecule accurately.Accurate quantitative PCR analysis can be made use this function relation.Accumulated PCR product quantity can be obtained from initial template number.Using this model to do quantitative PCR analysis,result error is only related to the accuracy of fluorescence intensity or the instrument used.For an example,when the fluorescence intensity is accurate to 6 digits and the template size is between 100 to 1 000 000,the quantitative result accuracy will be more than 99%.The difference of result error is distinct using same condition,same instrument but different analysis method.Moreover,if the PCR quantitative analysis system is used to process data,it will get result 80 times of accuracy than using CT method.