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Background
A challenging problem in current systems biology is that of parameter inference in biological pathways expressed as coupled ordinary differential equations (ODEs). Conventional methods that repeatedly numerically solve the ODEs have large associated computational costs. Aimed at reducing this cost, new concepts using gradient matching have been proposed, which bypass the need for numerical integration. This paper presents a recently established adaptive gradient matching approach, using Gaussian processes (GPs), combined with a parallel tempering scheme, and conducts a comparative evaluation with current state-of-the-art methods used for parameter inference in ODEs. Among these contemporary methods is a technique based on reproducing kernel Hilbert spaces (RKHS). This has previously shown promising results for parameter estimation, but under lax experimental settings. We look at a range of scenarios to test the robustness of this method. We also change the approach of inferring the penalty parameter from AIC to cross validation to improve the stability of the method.Methods
Methodology for the recently proposed adaptive gradient matching method using GPs, upon which we build our new method, is provided. Details of a competing method using RKHS are also described here.Results
We conduct a comparative analysis for the methods described in this paper, using two benchmark ODE systems. The analyses are repeated under different experimental settings, to observe the sensitivity of the techniques.Conclusions
Our study reveals that for known noise variance, our proposed method based on GPs and parallel tempering achieves overall the best performance. When the noise variance is unknown, the RKHS method proves to be more robust.Areas covered: Beyond microbe identification, MALDI-TOF MS offers great opportunities for fast strain typing and detection of antimicrobial susceptibility/resistance in both bacterial and fungal organisms. Drawing on evidence from PubMed literature searches, clinical microbiology laboratory experience, and the authors’ opinions, this review summarizes recent significant advances and ongoing challenges in these areas.
Expert commentary: In the near future, it is expected that the implementation of new analytical algorithms, automation of procedures, and refinement of assays will enhance the clinical and epidemiological usefulness of MALDI-TOF and other MS technologies. 相似文献