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Novel metaheuristic for parameter estimation in nonlinear dynamic biological systems

机译:非线性动态生物系统中用于参数估计的新型元启发法

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Background We consider the problem of parameter estimation (model calibration) in nonlinear dynamic models of biological systems. Due to the frequent ill-conditioning and multi-modality of many of these problems, traditional local methods usually fail (unless initialized with very good guesses of the parameter vector). In order to surmount these difficulties, global optimization (GO) methods have been suggested as robust alternatives. Currently, deterministic GO methods can not solve problems of realistic size within this class in reasonable computation times. In contrast, certain types of stochastic GO methods have shown promising results, although the computational cost remains large. Rodriguez-Fernandez and coworkers have presented hybrid stochastic-deterministic GO methods which could reduce computation time by one order of magnitude while guaranteeing robustness. Our goal here was to further reduce the computational effort without loosing robustness. Results We have developed a new procedure based on the scatter search methodology for nonlinear optimization of dynamic models of arbitrary (or even unknown) structure (i.e. black-box models). In this contribution, we describe and apply this novel metaheuristic, inspired by recent developments in the field of operations research, to a set of complex identification problems and we make a critical comparison with respect to the previous (above mentioned) successful methods. Conclusion Robust and efficient methods for parameter estimation are of key importance in systems biology and related areas. The new metaheuristic presented in this paper aims to ensure the proper solution of these problems by adopting a global optimization approach, while keeping the computational effort under reasonable values. This new metaheuristic was applied to a set of three challenging parameter estimation problems of nonlinear dynamic biological systems, outperforming very significantly all the methods previously used for these benchmark problems.
机译:背景我们考虑了生物系统非线性动力学模型中的参数估计(模型校准)问题。由于这些问题中的许多问题频繁出现病态和多模态,传统的本地方法通常会失败(除非使用参数向量的很好的猜测进行初始化)。为了克服这些困难,已提出使用全局优化(GO)方法作为可靠的替代方法。当前,确定性GO方法无法在合理的计算时间内解决此类中的实际大小问题。相比之下,尽管计算成本仍然很高,但某些类型的随机GO方法已显示出令人鼓舞的结果。 Rodriguez-Fernandez及其同事提出了混合随机确定性GO方法,该方法可以在保证鲁棒性的同时将计算时间减少一个数量级。我们的目标是在不损失鲁棒性的情况下进一步减少计算量。结果我们基于散点搜索方法开发了一种新程序,可对任意(甚至未知)结构的动态模型(即黑匣子模型)进行非线性优化。在这项贡献中,我们描述了这种新颖的元启发式方法,并将其应用到运筹学领域的最新发展中,并将其应用于一系列复杂的识别问题,并就以前的成功方法进行了重要的比较。结论健壮而有效的参数估计方法在系统生物学及相关领域至关重要。本文提出的新的元启发式方法旨在通过采用全局优化方法来确保这些问题的正确解决,同时将计算工作量保持在合理的值范围内。这种新的启发式方法已应用于非线性动态生物系统的三个挑战性参数估计问题集,其性能明显优于以前用于这些基准问题的所有方法。

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