An adjoint-based parameter identification algorithm applied to planar cell polarity signaling
An adjoint-based parameter identification algorithm applied to planar cell polarity signaling
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DOI：
10.1109/tac.2007.911362
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发表时间：
2008-01-01
影响因子：
6.8
通讯作者：
Tomlin, Claire J.
中科院分区：
文献类型：
--
作者：
Raffard, Robin L.;Amonlirdviman, Keith;Tomlin, Claire J.
本文提出了一种基于伴随的算法，用于对生物系统的微分方程模型进行自动参数识别。该算法局部求解优化问题，其中成本反映了观测数据与参数化数学模型输出之间的偏差，约束条件是控制参数化方程。该算法的易处理性和收敛速度（局部最小值）非常有利于不使用伴随的数值参数搜索算法。此外，用参数的不同实例来初始化算法允许人们有效地搜索参数空间。介绍了将该算法应用于先前提出的果蝇翅膀中平面细胞极性 (PCP) 信号传导数学模型的结果，并描述了对该算法启用的 PCP 机制的一些新见解。
This paper presents an adjoint-based algorithm for performing automatic parameter identification on differential equation models of biological systems. The algorithm locally solves an optimization problem, in which the cost reflects the deviation between the observed data and the output of the parameterized mathematical model, and the constraints are the governing parameterized equations. The tractability and the speed of convergence (to local minima) of the algorithm are strongly favorable to numerical parameter search algorithms which do not make use of the adjoint. Furthermore, initializing the algorithm with different instantiations of the parameters allows one to effectively search the parameter space. Results of the application of this algorithm to a previously presented mathematical model of planar cell polarity (PCP) signaling in the wings of Drosophila melanogaster are presented, and some new insights into the PCP mechanism that are enabled by the algorithm are described.