Mosayebi Raziyeh, Bahrami Fariba
School of Electrical and computer Engineering, College of Engineering, University of Tehran, Tehran, Iran.
CIPCE, School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran, Iran.
Theor Biol Med Model. 2018 Nov 5;15(1):17. doi: 10.1186/s12976-018-0089-6.
Mathematical modeling has achieved a broad interest in the field of biology. These models represent the associations among the metabolism of the biological phenomenon with some mathematical equations such that the observed time course profile of the biological data fits the model. However, the estimation of the unknown parameters of the model is a challenging task. Many algorithms have been developed for parameter estimation, but none of them is entirely capable of finding the best solution. The purpose of this paper is to develop a method for precise estimation of parameters of a biological model.
In this paper, a novel particle swarm optimization algorithm based on a decomposition technique is developed. Then, its root mean square error is compared with simple particle swarm optimization, Iterative Unscented Kalman Filter and Simulated Annealing algorithms for two different simulation scenarios and a real data set related to the metabolism of CAD system.
Our proposed algorithm results in 54.39% and 26.72% average reduction in root mean square error when applied to the simulation and experimental data, respectively.
The results show that the metaheuristic approaches such as the proposed method are very wise choices for finding the solution of nonlinear problems with many unknown parameters.
数学建模在生物学领域引起了广泛关注。这些模型用一些数学方程来表示生物现象代谢之间的关联,以使观察到的生物数据的时间进程曲线符合该模型。然而,模型未知参数的估计是一项具有挑战性的任务。已经开发了许多用于参数估计的算法,但没有一种算法能够完全找到最佳解决方案。本文的目的是开发一种精确估计生物模型参数的方法。
本文开发了一种基于分解技术的新型粒子群优化算法。然后,针对两种不同的模拟场景以及与CAD系统代谢相关的真实数据集,将其均方根误差与简单粒子群优化算法、迭代无迹卡尔曼滤波器和模拟退火算法进行比较。
当应用于模拟数据和实验数据时,我们提出的算法分别使均方根误差平均降低了54.39%和26.72%。
结果表明,诸如本文提出的方法之类的元启发式方法是解决具有许多未知参数的非线性问题的明智选择。