Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycle

The cell cycle is regulated by a large number of enzymes and transcription factors. We have developed a modular description of the cell cycle, based on a set of interleaved modular feedback loops, each leading to a cyclic behavior. The slowest loop is the E2F transcription and ubiquitination, which...

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Main Authors: Orit Lavi, Doron Ginsberg, Yoram Louzoun
Format: Article
Language:English
Published: AIMS Press 2011-03-01
Series:Mathematical Biosciences and Engineering
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Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.445
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author Orit Lavi
Doron Ginsberg
Yoram Louzoun
author_facet Orit Lavi
Doron Ginsberg
Yoram Louzoun
author_sort Orit Lavi
collection DOAJ
description The cell cycle is regulated by a large number of enzymes and transcription factors. We have developed a modular description of the cell cycle, based on a set of interleaved modular feedback loops, each leading to a cyclic behavior. The slowest loop is the E2F transcription and ubiquitination, which determines the cycling frequency of the entire cell cycle. Faster feedback loops describe the dynamics of each Cyclin by itself. Our model shows that the cell cycle progression as well as the checkpoints of the cell cycle can be understood through the interactions between the main E2F feedback loop and the driven Cyclin feedback loops.Multiple models were proposed for the cell cycle dynamics; each with differing basic mechanisms. We here propose a new generic formalism. In contrast with existing models, the proposed formalism allows a straightforward analysis and understanding of the dynamics, neglecting the details of each interaction. This model is not sensitive to small changes in the parameters used and it reproduces the observed behavior of the transcription factor E2F and different Cyclins in continuous or regulated cycling conditions. The modular description of the cell cycle resolves the gap between cyclic models, solely based on protein-protein reactions and transcription reactions based models. Beyond the explanation of existing observations, this model suggests the existence of unknown interactions, such as the need for a functional interaction between Cyclin B and retinoblastoma protein (Rb) de-phosphorylation.
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spelling doaj-art-83ab5934e2b64590b01824bfa54983ca2025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018244546110.3934/mbe.2011.8.445Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycleOrit Lavi0Doron Ginsberg1Yoram Louzoun2Department of Mathematics, Bar Ilan University, Ramat Gan 52900Department of Mathematics, Bar Ilan University, Ramat Gan 52900Department of Mathematics, Bar Ilan University, Ramat Gan 52900The cell cycle is regulated by a large number of enzymes and transcription factors. We have developed a modular description of the cell cycle, based on a set of interleaved modular feedback loops, each leading to a cyclic behavior. The slowest loop is the E2F transcription and ubiquitination, which determines the cycling frequency of the entire cell cycle. Faster feedback loops describe the dynamics of each Cyclin by itself. Our model shows that the cell cycle progression as well as the checkpoints of the cell cycle can be understood through the interactions between the main E2F feedback loop and the driven Cyclin feedback loops.Multiple models were proposed for the cell cycle dynamics; each with differing basic mechanisms. We here propose a new generic formalism. In contrast with existing models, the proposed formalism allows a straightforward analysis and understanding of the dynamics, neglecting the details of each interaction. This model is not sensitive to small changes in the parameters used and it reproduces the observed behavior of the transcription factor E2F and different Cyclins in continuous or regulated cycling conditions. The modular description of the cell cycle resolves the gap between cyclic models, solely based on protein-protein reactions and transcription reactions based models. Beyond the explanation of existing observations, this model suggests the existence of unknown interactions, such as the need for a functional interaction between Cyclin B and retinoblastoma protein (Rb) de-phosphorylation.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.445odebiomathematicsrobustnessforced oscilators.stability
spellingShingle Orit Lavi
Doron Ginsberg
Yoram Louzoun
Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycle
Mathematical Biosciences and Engineering
ode
biomathematics
robustness
forced oscilators.
stability
title Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycle
title_full Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycle
title_fullStr Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycle
title_full_unstemmed Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycle
title_short Regulation of modular Cyclin and CDK feedback loops by an E2F transcriptionoscillator in the mammalian cell cycle
title_sort regulation of modular cyclin and cdk feedback loops by an e2f transcriptionoscillator in the mammalian cell cycle
topic ode
biomathematics
robustness
forced oscilators.
stability
url https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.445
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AT yoramlouzoun regulationofmodularcyclinandcdkfeedbackloopsbyane2ftranscriptionoscillatorinthemammaliancellcycle