Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis
The cell-division cycle and apoptosis are key cellular processes deregulated during carcinogenesis. Recent work of Aguda and Algar suggests a modular organization of regulatory molecular pathways linking the cellular processes of division and apoptosis. We carry out a detailed mathematical analysis...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.473 |
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| author | Gheorghe Craciun Baltazar Aguda Avner Friedman |
| author_facet | Gheorghe Craciun Baltazar Aguda Avner Friedman |
| author_sort | Gheorghe Craciun |
| collection | DOAJ |
| description | The cell-division cycle and apoptosis are key cellular processes deregulated during carcinogenesis. Recent work of Aguda and Algar suggests a modular organization of regulatory molecular pathways linking the cellular processes of division and apoptosis. We carry out a detailed mathematical analysis of the Aguda-Algar model to unravel the dynamics implicit in the model structure. In addition, we further explore model parameters that control the bifurcations corresponding to the aforementioned cellular state transitions. We show that this simple model predicts interesting behavior, such as hysteretic oscillations and different conditions in which apoptosis is triggered. |
| format | Article |
| id | doaj-art-16bf38068d704686b5227ff28170f116 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-16bf38068d704686b5227ff28170f1162025-01-24T01:49:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-07-012347348510.3934/mbe.2005.2.473Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And ApoptosisGheorghe Craciun0Baltazar Aguda1Avner Friedman2Mathematical Biosciences Institute, Ohio State University, 125 W. 18th Avenue, Columbus, OH 43210Systems Biology Group, Bioinformatics Institute, 30 Biopolis Street, #07-01 Matrix, Singapore 138671Mathematical Biosciences Institute, Ohio State University, 125 W. 18th Avenue, Columbus, OH 43210The cell-division cycle and apoptosis are key cellular processes deregulated during carcinogenesis. Recent work of Aguda and Algar suggests a modular organization of regulatory molecular pathways linking the cellular processes of division and apoptosis. We carry out a detailed mathematical analysis of the Aguda-Algar model to unravel the dynamics implicit in the model structure. In addition, we further explore model parameters that control the bifurcations corresponding to the aforementioned cellular state transitions. We show that this simple model predicts interesting behavior, such as hysteretic oscillations and different conditions in which apoptosis is triggered.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.473cellular processes modelsapoptosis.molecular pathwayscell cycle |
| spellingShingle | Gheorghe Craciun Baltazar Aguda Avner Friedman Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis Mathematical Biosciences and Engineering cellular processes models apoptosis. molecular pathways cell cycle |
| title | Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis |
| title_full | Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis |
| title_fullStr | Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis |
| title_full_unstemmed | Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis |
| title_short | Mathematical Analysis Of A Modular Network Coordinating The Cell Cycle And Apoptosis |
| title_sort | mathematical analysis of a modular network coordinating the cell cycle and apoptosis |
| topic | cellular processes models apoptosis. molecular pathways cell cycle |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.473 |
| work_keys_str_mv | AT gheorghecraciun mathematicalanalysisofamodularnetworkcoordinatingthecellcycleandapoptosis AT baltazaraguda mathematicalanalysisofamodularnetworkcoordinatingthecellcycleandapoptosis AT avnerfriedman mathematicalanalysisofamodularnetworkcoordinatingthecellcycleandapoptosis |