دورية أكاديمية
Ideal adaptive control in biological systems: an analysis of $$\mathbb {P}$$ P -invariance and dynamical compensation properties
العنوان: | Ideal adaptive control in biological systems: an analysis of $$\mathbb {P}$$ P -invariance and dynamical compensation properties |
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المؤلفون: | Akram Ashyani, Yu-Heng Wu, Huan-Wei Hsu, Torbjörn E. M. Nordling |
المصدر: | BMC Bioinformatics, Vol 25, Iss 1, Pp 1-17 (2024) |
بيانات النشر: | BMC, 2024. |
سنة النشر: | 2024 |
المجموعة: | LCC:Computer applications to medicine. Medical informatics LCC:Biology (General) |
مصطلحات موضوعية: | Dynamical compensation property, $$\mathbb {P}$$ P -invariance, Ordinary differential equations, Adaptive proportional-integral feedback, Computer applications to medicine. Medical informatics, R858-859.7, Biology (General), QH301-705.5 |
الوصف: | Abstract Background Dynamical compensation (DC) provides robustness to parameter fluctuations. As an example, DC enables control of the functional mass of endocrine or neuronal tissue essential for controlling blood glucose by insulin through a nonlinear feedback loop. Researchers have shown that DC is related to the structural unidentifiability and the $$\mathbb {P}$$ P -invariance property. The $$\mathbb {P}$$ P -invariance property is a sufficient and necessary condition for the DC property. DC has been seen in systems with at least three dimensions. In this article, we discuss DC and $$\mathbb {P}$$ P -invariance from an adaptive control perspective. An adaptive controller automatically adjusts its parameters to optimise performance, maintain stability, and deal with uncertainties in a system. Results We initiate our analysis by introducing a simplified two-dimensional dynamical model with DC, fostering experimentation and understanding of the system’s behavior. We explore the system’s behavior with time-varying input and disturbance signals, with a focus on illustrating the system’s $$\mathbb {P}$$ P -invariance properties in phase portraits and step-like response graphs. Conclusions We show that DC can be seen as a case of ideal adaptive control since the system is invariant to the compensated parameter. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 1471-2105 |
Relation: | https://doaj.org/toc/1471-2105 |
DOI: | 10.1186/s12859-024-05718-5 |
URL الوصول: | https://doaj.org/article/7bc4dea33cc941d28078a7b00f3af087 |
رقم الأكسشن: | edsdoj.7bc4dea33cc941d28078a7b00f3af087 |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 14712105 |
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DOI: | 10.1186/s12859-024-05718-5 |