Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System

Bibliographic Details
Main Author:	Wu, Ming
Language:	English
Published:	Ohio University / OhioLINK 2011
Subjects:	Electrical Engineering Systems Science monotonicity analysis averaging analysis CaMKII activation systems biology
Online Access:	http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1299866038

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spelling	ndltd-OhioLink-oai-etd.ohiolink.edu-ohiou12998660382021-08-03T05:46:45Z Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System Wu, Ming Electrical Engineering Systems Science monotonicity analysis averaging analysis CaMKII activation systems biology <p>Ca2+/calmodulin-dependent protein kinase II (CaMKII) is thought to be a key contributor to the induction of long-term potentiation (LTP). Researchers have developed a variety of mathematical models of CaMKII activation intended to produce simulation outputs that agrees with empirical observations. Our research focuses on one such model to which recent theoretical results for input-output monotone systems are applied. Several key findings in the literature are reproduced using simple algebraic computations as opposed to exhaustive, simulation-based analysis when the system input is constant.</p><p>However, the system input is often periodic in experimental settings, so another important part of our research is averaging analysis, which provides us a way to build up an average model that approximates the original system asymptotically as the perturbation tends to zero. Meanwhile, we intend to establish that the CaMKII activation system acts as a low-pass filter which filters out high frequency components in the input signal. Thus the CaMKII activation system with a periodic input can be approximated by an averaged system with a constant input. In this way, not only is the computational burden of the simulation greatly reduced, but also the system analysis can be simplified significantly.</p> 2011-04-25 English text Ohio University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1299866038 http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1299866038 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection	NDLTD
language	English
sources	NDLTD
topic	Electrical Engineering Systems Science monotonicity analysis averaging analysis CaMKII activation systems biology
spellingShingle	Electrical Engineering Systems Science monotonicity analysis averaging analysis CaMKII activation systems biology Wu, Ming Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System
author	Wu, Ming
author_facet	Wu, Ming
author_sort	Wu, Ming
title	Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System
title_short	Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System
title_full	Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System
title_fullStr	Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System
title_full_unstemmed	Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System
title_sort	averaging and monotonicity analysis of ca2+/calmodulin-dependent protein kinase-phosphatase system
publisher	Ohio University / OhioLINK
publishDate	2011
url	http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1299866038
work_keys_str_mv	AT wuming averagingandmonotonicityanalysisofca2calmodulindependentproteinkinasephosphatasesystem
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Averaging and Monotonicity Analysis of Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System

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