摘要
化学主方程对生化反应系统提供了一个建模框架,但它的分析与模拟一直是计算系统生物学的一个难题,到目前为止并没有得到解决.这里,通过引进高维矩阵及其运算规则,首先把化学主方程表示为高维矩阵方程,然后给出了其分析解的形式表示,此外还介绍了一种求解高维矩阵方程的高效数值方法.研究表明:高维矩阵方法似乎解决了化学主方程的分析求解和数值求解问题.
Chemical master equation gives a framework for mathematical modeling of biochemical reaction systems,but its analysis and simulation has been being difficult in the field of computational systems biology. Here,by introducing a high-dimensional matrix and its operators,first the chemical master equation is transformed into a high-dimensional matrix equation,and then a formal expression for the analytical solution to this matrix equation is given.In addition,a 2-order cyclic iterative algorithm is introduced to numerically solve the high-dimensional matrix equation. In a word,the high-dimensional matrix method seems to solve the questions of analytical and numerical solutions to the chemical master equation.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2017年第1期1-5,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金委/重大研究计划/集成(91530320)
科技部973课题(2014CB964703)资助项目
关键词
化学主方程
高维矩阵方程
矩阵指数函数
环路算法
chemical master equation
high-dimensional matrix equation
matrix exponent function
cyclic iterative algorithm
