Abstract
The design space is defined as the combination of materials and process conditions which provides assurance of quality. Identification of the design space is a computationally demanding task especially in high dimensional settings. The active subspaces method is a technique that identifies the most important directions in the parameter space, enabling significant dimension reduction. We show how to apply the active subspaces method for model reductions and identification of design space. The results of constraint global sensitivity analysis match those obtained with the active subspaces method for the considered test case.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Constantine, P.G.: Active Subspaces: Emerging Ideas for Dimension Reduction in Parameter Studies. SIAM (2015)
Garcia-Munoz, S., Luciani, C.V., Vaidyaraman, S., Seibert, K.D.: Definition of design spaces using mechanistic models and geometric projections of probability maps. Org. Process Res. Dev. 19(8), 1012–1023 (2015)
International Council for Harmonisation of Technical Requirements for Pharmaceuticals for Human Use: Q8 Guidance for industry. US Department of Health and Human Services and Food and Drug Administration and others (2006)
Kotidis, P., et al.: Constrained global sensitivity analysis for bioprocess design space identification. Comput. Chem. Eng. 125, 558–568 (2019)
Kucherenko, S., Klymenko, O.V., Shah, N.: Sobol’indices for problems defined in non-rectangular domains. Reliab. Eng. Syst. Saf. 167, 218–231 (2017)
Kucherenko, S., Zaccheus, O.: SobolGSA Software. Imperial College London, UK (2023)
Kucherenko, S., Giamalakis, D., Shah, N., García-Muñoz, S.: Computationally efficient identification of probabilistic design spaces through application of metamodeling and adaptive sampling. Comput. Chem. Eng. 132, 106608 (2020)
Guidance for industry: Q8 (r2) pharmaceutical development (2009)
Zhou, C., Shi, Z., Kucherenko, S., Zhao, H.: A unified approach for global sensitivity analysis based on active subspace and kriging. Reliab. Eng. Syst. Saf. 217, 108080 (2022)
Acknowledgements
We acknowledge the financial support of Eli Lilly and Company and the EPSRC Programme Grant EP/T005556/1.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Kucherenko, S., Shah, N., Zaccheus, O. (2024). Application of Active Subspaces for Model Reduction and Identification of Design Space. In: Lirkov, I., Margenov, S. (eds) Large-Scale Scientific Computations. LSSC 2023. Lecture Notes in Computer Science, vol 13952. Springer, Cham. https://doi.org/10.1007/978-3-031-56208-2_42
Download citation
DOI: https://doi.org/10.1007/978-3-031-56208-2_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-56207-5
Online ISBN: 978-3-031-56208-2
eBook Packages: Computer ScienceComputer Science (R0)