L1 and L2 norms in sensitivity analysis of signaling pathway models

Malgorzata Kardynska; Jaroslaw Smieja

doi:10.1109/MMAR.2016.7575202

L¹ and L² norms in sensitivity analysis of signaling pathway models

Department of Systems Biology and Engineering (RAU/RAU1)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

Sensitivity methods have been originally developed for analysis of technical systems and recently have gained increasing importance in systems biology. Among others, they provide means to rank parameters of mathematical models describing complex systems, according to their influence on system behavior. Parameter rankings can be derived using different sensitivity measures. This paper is focused on two types of norms, most often used in such analysis. Using simple, illustrative dynamical models as well as models of signaling pathways, it shows how much the results of sensitivity analysis depend on the choice of the norm.

Original language	English
Title of host publication	2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	589-594
Number of pages	6
ISBN (Electronic)	9781509018666
DOIs	https://doi.org/10.1109/MMAR.2016.7575202
Publication status	Published - 22 Sept 2016
Event	21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016 - Miedzyzdroje, Poland Duration: 29 Aug 2016 → 1 Sept 2016

Publication series

Name	2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016

Conference

Conference	21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016
Country/Territory	Poland
City	Miedzyzdroje
Period	29/08/16 → 1/09/16

ASJC Scopus subject areas

Control and Optimization
Control and Systems Engineering
Artificial Intelligence

Access to Document

10.1109/MMAR.2016.7575202

Cite this

Kardynska, M., & Smieja, J. (2016). L¹ and L² norms in sensitivity analysis of signaling pathway models. In 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016 (pp. 589-594). Article 7575202 (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MMAR.2016.7575202

Kardynska, Malgorzata ; Smieja, Jaroslaw. / L¹ and L² norms in sensitivity analysis of signaling pathway models. 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 589-594 (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016).

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abstract = "Sensitivity methods have been originally developed for analysis of technical systems and recently have gained increasing importance in systems biology. Among others, they provide means to rank parameters of mathematical models describing complex systems, according to their influence on system behavior. Parameter rankings can be derived using different sensitivity measures. This paper is focused on two types of norms, most often used in such analysis. Using simple, illustrative dynamical models as well as models of signaling pathways, it shows how much the results of sensitivity analysis depend on the choice of the norm.",

author = "Malgorzata Kardynska and Jaroslaw Smieja",

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doi = "10.1109/MMAR.2016.7575202",

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Kardynska, M & Smieja, J 2016, L¹ and L² norms in sensitivity analysis of signaling pathway models. in 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016., 7575202, 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016, Institute of Electrical and Electronics Engineers Inc., pp. 589-594, 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016, Miedzyzdroje, Poland, 29/08/16. https://doi.org/10.1109/MMAR.2016.7575202

L¹ and L² norms in sensitivity analysis of signaling pathway models. / Kardynska, Malgorzata ; Smieja, Jaroslaw.
2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 589-594 7575202 (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Sensitivity methods have been originally developed for analysis of technical systems and recently have gained increasing importance in systems biology. Among others, they provide means to rank parameters of mathematical models describing complex systems, according to their influence on system behavior. Parameter rankings can be derived using different sensitivity measures. This paper is focused on two types of norms, most often used in such analysis. Using simple, illustrative dynamical models as well as models of signaling pathways, it shows how much the results of sensitivity analysis depend on the choice of the norm.

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Kardynska M , Smieja J. L¹ and L² norms in sensitivity analysis of signaling pathway models. In 2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 589-594. 7575202. (2016 21st International Conference on Methods and Models in Automation and Robotics, MMAR 2016). doi: 10.1109/MMAR.2016.7575202