ibrahim2

R1

Mad1_CMad2 + OMad2 = Mad1_CMad2_OMad2

R2

Mad1_CMad2_OMad2 + Cdc20 > Mad1_CMad2 + Cdc20_CMad2

R3

Cdc20_CMad2 > Cdc20 + OMad2

R4

Cdc20_CMad2 + Bub3_BubR1 = MCC

R5

Bub3_BubR1 + Cdc20 = Bub3_BubR1_Cdc20

R6

OMad2 + Cdc20 > Cdc20_CMad2

R7

MCC + APC > MCC_APC

R7b

MCC_APC > OMad2 + Bub3_BubR1 + APC_Cdc20

R8

APC + Cdc20 = APC_Cdc20

Global parameters

mt_attachment

Trigger: gt(time, 2000)

Delay:

Assignments:

  • u_prime = const_val_1
  • u = const_val_0

Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.


Species:

Reactions:


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In-silico modeling of the mitotic spindle assembly checkpoint.

  • Bashar Ibrahim
  • Stephan Diekmann
  • Eberhard Schmitt
  • Peter Dittrich
PLoS ONE 2008; 3 (2):
Abstract
BACKGROUND: The Mitotic Spindle Assembly Checkpoint ((M)SAC) is an evolutionary conserved mechanism that ensures the correct segregation of chromosomes by restraining cell cycle progression from entering anaphase until all chromosomes have made proper bipolar attachments to the mitotic spindle. Its malfunction can lead to cancer.
PRINCIPLE FINDINGS: We have constructed and validated for the human (M)SAC mechanism an in silico dynamical model, integrating 11 proteins and complexes. The model incorporates the perspectives of three central control pathways, namely Mad1/Mad2 induced Cdc20 sequestering based on the Template Model, MCC formation, and APC inhibition. Originating from the biochemical reactions for the underlying molecular processes, non-linear ordinary differential equations for the concentrations of 11 proteins and complexes of the (M)SAC are derived. Most of the kinetic constants are taken from literature, the remaining four unknown parameters are derived by an evolutionary optimization procedure for an objective function describing the dynamics of the APC:Cdc20 complex. MCC:APC dissociation is described by two alternatives, namely the "Dissociation" and the "Convey" model variants. The attachment of the kinetochore to microtubuli is simulated by a switching parameter silencing those reactions which are stopped by the attachment. For both, the Dissociation and the Convey variants, we compare two different scenarios concerning the microtubule attachment dependent control of the dissociation reaction. Our model is validated by simulation of ten perturbation experiments.
CONCLUSION: Only in the controlled case, our models show (M)SAC behaviour at meta- to anaphase transition in agreement with experimental observations. Our simulations revealed that for (M)SAC activation, Cdc20 is not fully sequestered; instead APC is inhibited by MCC binding.
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000187) Biomodels notes: This model describes the controlled dissociation variant of the mitotic spindle assembly checkpoint. If the tool you use has problems with events, you can uncomment the assignment rules for u and u_prime and comment out the list of events. See Biomodels Database for more information (http://www.ebi.ac.uk/biomodels-main/BIOMD0000000187). JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.