Araujo2016 - Positive feedback in Cdk1 signalling keeps mitotic duration short and constant

This model is described in the article:
Abstract:
Cell division is characterized by a sequence of events by which a cell gives rise to two daughter cells. Quantitative measurements of cell-cycle dynamics in single cells showed that despite variability in G1-, S-, and G2 phases, duration of mitosis is short and remarkably constant. Surprisingly, there is no correlation between cell-cycle length and mitotic duration, suggesting that mitosis is temporally insulated from variability in earlier cell-cycle phases. By combining live cell imaging and computational modeling, we showed that positive feedback is the molecular mechanism underlying the temporal insulation of mitosis. Perturbing positive feedback gave rise to a sluggish, variable entry and progression through mitosis and uncoupled duration of mitosis from variability in cell cycle length. We show that positive feedback is important to keep mitosis short, constant, and temporally insulated and anticipate it might be a commonly used regulatory strategy to create modularity in other biological systems.
This model is hosted on BioModels Database and identified by: BIOMD0000000657.
To cite BioModels Database, please use: Chelliah V et al. BioModels: ten-year anniversary. Nucl. Acids Res. 2015, 43(Database issue):D542-8.
To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.
Metadata information

Name | Description | Size | Actions |
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Model files |
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BIOMD0000000657.xml | SBML L2V4 representation of Araujo2016 - Positive feedback in Cdk1 signalling keeps mitotic duration short and constant | 50.95 KB | Preview | Download |
Additional files |
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BIOMD0000000657_urn.xml | Auto-generated SBML file with URNs | 50.83 KB | Preview | Download |
models.cps | This COPASI file comprises the model and can reproduce Figure 7B of the reference publication. | 71.75 KB | Preview | Download |
BIOMD0000000657.m | Auto-generated Octave file | 5.24 KB | Preview | Download |
BIOMD0000000657-biopax2.owl | Auto-generated BioPAX (Level 2) | 7.30 KB | Preview | Download |
BIOMD0000000657.xpp | Auto-generated XPP file | 3.50 KB | Preview | Download |
BIOMD0000000657.vcml | Auto-generated VCML file | 32.92 KB | Preview | Download |
BIOMD0000000657.png | Auto-generated Reaction graph (PNG) | 20.39 KB | Preview | Download |
BIOMD0000000657.svg | Auto-generated Reaction graph (SVG) | 7.69 KB | Preview | Download |
BIOMD0000000657.sci | Auto-generated Scilab file | 154.00 bytes | Preview | Download |
BIOMD0000000657-biopax3.owl | Auto-generated BioPAX (Level 3) | 9.02 KB | Preview | Download |
- Model originally submitted by : Rahuman Sheriff
- Submitted: Oct 4, 2017 2:17:35 PM
- Last Modified: Dec 21, 2018 6:28:05 PM
Revisions
-
Version: 6
- Submitted on: Dec 21, 2018 6:28:05 PM
- Submitted by: administrator
- With comment: Include the additional files provided by the submitter in the original submission: models.cps
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Version: 5
- Submitted on: Nov 9, 2018 4:04:32 PM
- Submitted by: Rahuman Sheriff
- With comment: Minor update in model annotation.
-
Version: 3
- Submitted on: Oct 4, 2017 3:41:20 PM
- Submitted by: Rahuman Sheriff
- With comment: Notes updated using online editor.
-
Version: 2
- Submitted on: Oct 6, 2017 10:21:07 AM
- Submitted by: Rahuman Sheriff
- With comment: Current version of Araujo2016 - Positive feedback in Cdk1 signalling keeps mitotic duration short and constant
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Version: 1
- Submitted on: Oct 4, 2017 2:17:35 PM
- Submitted by: Rahuman Sheriff
- With comment: Original import of New Model
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revisions as only public revisions are displayed here. Any private revisions
of this model will only be shown to the submitter and their collaborators.
: Variable used inside SBML models
Species | Initial Concentration/Amount |
---|---|
CycB G2/mitotic-specific cyclin-B1 |
59.9999999999999 nmol |
Cdk1CycB Cyclin-dependent kinase 1 ; cyclin B1-CDK1 complex ; G2/mitotic-specific cyclin-B1 |
20.0 nmol |
APC Adenomatous polyposis coli protein |
0.0 nmol |
Reactions | Rate | Parameters |
---|---|---|
Cell*((Ks-Adeg*CycB)-Bdeg*APC^n_apc*CycB/(EC50apc^n_apc+APC^n_apc)) Cell*((Ks-Adeg*CycB)-Bdeg*APC^n_apc*CycB/(EC50apc^n_apc+APC^n_apc)) |
Ks = 0.1; EC50apc = 0.5; n_apc = 10.0; Bdeg = 0.02; Adeg = 0.001 | |
Cell*((((Ks-Adeg*Cdk1CycB)-Bdeg*APC^n_apc*Cdk1CycB/(EC50apc^n_apc+APC^n_apc))+(Acdc+Bcdc*Cdk1CycB^n_cdc/(EC50cdc^n_cdc+Cdk1CycB^n_cdc))*(CycB-Cdk1CycB))-(Awee+Bwee*EC50wee^n_wee/(EC50wee^n_wee+Cdk1CycB^n_wee))*Cdk1CycB) Cell*((((Ks-Adeg*Cdk1CycB)-Bdeg*APC^n_apc*Cdk1CycB/(EC50apc^n_apc+APC^n_apc))+(Acdc+Bcdc*Cdk1CycB^n_cdc/(EC50cdc^n_cdc+Cdk1CycB^n_cdc))*(CycB-Cdk1CycB))-(Awee+Bwee*EC50wee^n_wee/(EC50wee^n_wee+Cdk1CycB^n_wee))*Cdk1CycB) |
EC50apc = 0.5; n_apc = 10.0; Bdeg = 0.02; EC50wee = 30.0; Awee = 0.5; n_cdc = 10.0; Ks = 0.1; EC50cdc = 30.0; Acdc = 0.5; Bwee = 1.0; n_wee = 10.0; Adeg = 0.001; Bcdc = 1.5 | |
Cell*((AK+BK*(Cdk1CycB/200)^n_K/((Cdk1CycB/200)^n_K+EC50K^n_K))*(1-APC)-(AP+BP*EC50P^n_P/(APC^n_P+EC50P^n_P))*APC) Cell*((AK+BK*(Cdk1CycB/200)^n_K/((Cdk1CycB/200)^n_K+EC50K^n_K))*(1-APC)-(AP+BP*EC50P^n_P/(APC^n_P+EC50P^n_P))*APC) |
EC50K = 0.18; BP = 0.5; EC50P = 0.18; BK = 0.25; AK = 0.0; n_P = 5.0; n_K = 5.0; AP = 0.025 |
(added: 04 Oct 2017, 15:26:41, updated: 04 Oct 2017, 15:26:41)