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Mathematical models of cell cycle regulation

H. Fuss
2005 Briefings in Bioinformatics  
This paper is a review and analysis of recent approaches attempting to model cell cycle regulation by means of protein-protein interaction networks.  ...  The cell division cycle is a fundamental process of cell biology and a detailed understanding of its function, regulation and other underlying mechanisms is critical to many applications in biotechnology  ...  MODEL ANALYSIS A central objective of mathematical cell cycle models is to facilitate understanding of cell cycle regulation.  ... 
doi:10.1093/bib/6.2.163 pmid:15975225 fatcat:gnmt5fcppbfkzoiie5jty4x6oa

A Data-Driven, Mathematical Model of Mammalian Cell Cycle Regulation

Michael C. Weis, Jayant Avva, James W. Jacobberger, Sree N. Sreenath, Yanchang Wang
2014 PLoS ONE  
Few of .150 published cell cycle modeling efforts use significant levels of data for tuning and validation.  ...  To develop a data-driven model of cell cycle regulation, we used contiguous, dynamic measurements over two time scales (minutes and hours) calculated from static multiparametric cytometry data.  ...  Introduction Cell cycle research expanded dramatically after the discovery of cell cycle regulating genes in yeast in the 1970's [1] .  ... 
doi:10.1371/journal.pone.0097130 pmid:24824602 pmcid:PMC4019653 fatcat:wta23uubmnbdrissdpddufmgcm

Modeling the role of the cell cycle in regulating Proteus mirabilis swarm-colony development

Bruce P. Ayati
2007 Applied Mathematics Letters  
Consequently, we advocate Proteus as a model organism for a multiscale understanding of how and to what extent the life cycle of individual cells affects the macroscopic behavior of a biological system  ...  in the cell cycle from motile swarmer cells to immotile dividing cells (also called swimmer or vegetative cells.)  ...  The Models The structured multiscale models in this paper are based on a mathematical framework with some history behind it.  ... 
doi:10.1016/j.aml.2006.11.003 fatcat:hoqko2tinjaalbpofcfqnqrvf4

Mathematical analysis of the Tyson model of the regulation of the cell division cycle

Alberto d'Onofrio
2005 Nonlinear Analysis  
In this paper, we study the mathematical properties of a family of models of Eukaryotic cell cycle, which extend the qualitative model proposed by Tyson [Proc. Natl. Acad. Sci. 88 (1991) 7328-7332].  ...  of the cell division) are given.  ...  suggested to extend and deepen the biological discussion; the editors of the journal for their excellent and rapid work; Dr.  ... 
doi:10.1016/j.na.2005.03.094 fatcat:xtll4myg7repxnay7mktm5fr3a

Page 122 of None Vol. 53, Issue 2 [page]

2003 None  
—We _ have formulated a mathematical model for regulation of the G;-to-S transition of the mamma- lian cell cycle.  ...  Regulation of the mammalian cell cycle: a model of the G,-to-S transition ZHILIN QU, JAMES N. WEISS, AND W.  ... 

Computational systems biology of the cell cycle

A. Csikasz-Nagy
2009 Briefings in Bioinformatics  
The earliest mathematical descriptions of cell-cycle control evolved into very complex, detailed computational models that describe the regulation of cell division in many different cell types.  ...  Here we review past and present of computational modeling of cell-cycle regulation, and discuss possible future directions of the field.  ...  This can be nicely observed in the field of cell-cycle modeling: from the 1960s we can find mathematical models that try to explain some key aspects of cell-cycle regulation from phenomenological observations  ... 
doi:10.1093/bib/bbp005 pmid:19270018 fatcat:yavlzoopofbm3f4ts63hwr6jai

Overexpression limits of fission yeast cell-cycle regulators in vivo and in silico

H. Moriya, A. Chino, O. Kapuy, A. Csikasz-Nagy, B. Novak
2014 Molecular Systems Biology  
Using the gTOW data, we modified a mathematical model and successfully reproduced the robustness of the S. pombe cell cycle with the model.  ...  Using gTOW, we determined copy number limits for 31 cell-cycle regulators; the limits varied from 1 to 4100.  ...  modeling.  ... 
doi:10.1038/msb.2011.91 pmid:22146300 pmcid:PMC3737731 fatcat:57cksyq3cfb2vez7w3km4q7pjm

The Ups and Downs of Modeling the Cell Cycle

Nicholas T. Ingolia, Andrew W. Murray
2004 Current Biology  
We discuss the impact of mathematical modeling on our understanding of the cell cycle.  ...  These include asking how the various elaborations of the basic oscillator affect the robustness of the system and how cells monitor their size and use this information to control the cell cycle.  ...  Mathematical models of the cell cycle based on these interactions produce oscillations, demonstrating that they are sufficient to recapitulate the known behavior of the cell cycle [18] .  ... 
doi:10.1016/j.cub.2004.09.018 pmid:15380091 fatcat:ijlvxnpgenhxtp2gjluzxxocaa

Model Predictions of MDM2 Mediated Cell Regulation

Mandri N. Obeyesekere, Edwin Tecarro, Guillermina Lozano
2004 Cell Cycle  
In this work we present a mathematical approach to elucidate possible mechanisms involving mdm2 in the regulation of the cell cycle.  ...  To answer this question, we first formulate a mathematical model of the dynamics of the cell cycle regulatory proteins during the DNA synthesis phase and mitosis.  ...  We develop a nonlinear dynamical system (the mathematical model) with a minimal set of variables (eight) as the regulators of the two phases of the cell cycle, S and M phases.  ... 
doi:10.4161/cc.3.5.854 fatcat:6qhtjbucsvhpnfacjardah2e6i

Modeling epigenetic regulation of PRC1 protein accumulation in the cell cycle

Marzena Dolbniak, Marek Kimmel, Jaroslaw Smieja
2015 Biology Direct  
Cell cycle regulation has been subject of mathematical modeling by a number of authors that resulted in many interesting models and application of analytic techniques ranging from stochastic processes  ...  Findings of the current paper include tight regulation of the cell cycle (particularly the timing of the cell cycle) even that PRC1 is only one of the players in cell dynamics.  ...  Cell cycle regulation has been subject of mathematical modeling by a number of authors which resulted in many interesting models and application of analytic techniques ranging from stochastic processes  ... 
doi:10.1186/s13062-015-0078-1 pmid:26458878 pmcid:PMC4603771 fatcat:wicvwteihzfhpjvqb4lpebozny

Mathematical Modeling of p53 Pathways

Eunjung Kim, Jae-Young Kim, Joo-Yong Lee
2019 International Journal of Molecular Sciences  
When activated under DNA damage stress, p53 regulates hundreds of genes that are involved in DNA repair, cell cycle, and apoptosis.  ...  In this review, we discuss several mathematical modeling approaches in exploring the p53 pathways.  ...  Mathematical models that integrated ODE models for cell cycle and DNA damage network predicted the role of p53 in determining immediate or sustained cell cycle types [38, 39] .  ... 
doi:10.3390/ijms20205179 pmid:31635420 pmcid:PMC6834204 fatcat:vg4f2jhlh5fsdnviivxazifu24

The role of modelling in identifying drug targets for diseases of the cell cycle

Robert G. Clyde, James L. Bown, Ted R. Hupp, Nikolai Zhelev, John W. Crawford
2006 Journal of the Royal Society Interface  
We review the current status of theoretical models for the cell cycle in light of these new challenges.  ...  The cell cycle is implicated in diseases that are the leading cause of mortality and morbidity in the developed world.  ...  However, research into the various proteins and mechanisms that regulate the cell cycle has resulted in progressively better descriptions of the cell cycle and in response to this, mathematical models  ... 
doi:10.1098/rsif.2006.0146 pmid:16971330 pmcid:PMC1664649 fatcat:wii72t5v2vhvve7dkixyuf63za

Cyclin-Dependent Kinases as Drug Targets for Cell Growth and Proliferation Disorders. A Role for Systems Biology Approach in Drug Development. Part II—CDKs as Drug Targets in Hypertrophic Cell Growth. Modelling of Drugs Targeting CDKs

Michael A. Idowu
2012 Biotechnology & Biotechnological Equipment  
cell cycle regulation based on single cell studies.  ...  Validating cDKs as targets for disease of the cell cycle involves evaluating and understanding some of the key roles that cDKs play in cell cycle regulation. one way of demonstrating this might be to run  ... 
doi:10.5504/bbeq.2011.0142 fatcat:p6kofx42ubad3kbpbqrqaa7imy

Notes from the Cell Cycle World: Less Is More

Mary Hoff
2013 PLoS Biology  
Selected PLOS Biology research articles are accompanied by a synopsis written for a general audience to provide non-experts with insight into the significance of the published work.  ...  Returning to the mathematical model, the researchers were able to show how the model could explain the lack of real Minimal mathematical modeling and forward genetics reveals that an asymmetric cell cycle  ...  valuable mathematical modeling tool for defining and exploring the fundamental regulatory mechanisms behind other, more complex cell cycles, including those of eukaryotes.  ... 
doi:10.1371/journal.pbio.1001748 pmid:24391469 pmcid:PMC3876975 fatcat:4ulzwxc5fjaondtjpcgfc4m2zi

Introductory Review of Computational Cell Cycle Modeling [chapter]

Andres Kriete, Eishi Noguchi, Christian Sell
2014 Msphere  
Here we review some aspects of this process as it pertains to cell cycle modeling.  ...  Recent advances in the modeling of the cell cycle through computer simulation demonstrate the power of systems biology.  ...  Acknowledgments This work was supported in part by NIH (GM0776043 to E.N.) and Drexel University College of Medicine Aging Research Initiative.  ... 
doi:10.1007/978-1-4939-0888-2_12 pmid:24906317 pmcid:PMC4133988 fatcat:22v75563mrahvaot2txfiqgmlm
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