Calcium_Influx

Calcium_Influx

∅ = Z

Calcium_Influx_stimulation

Calcium Influx by stimulation

∅ = Z

Calcium_into_cytoplasm

Calcium influx to cytoplasm

Y = Z

Calcium_into_store

Calcium Influx

Z = Y

Leakage

Calcium Leakage

Y = Z

Leakage_from_cytoplasm

Leakage from cytoplasm

Z = ∅

TF_degradation

TF degradation

X = ∅

TF_synthesis

TF Synthesis

∅ = X

TF_synthesis_basal

TF_synthesis_basal

∅ = X

Global parameters
Calcium_Influx
Calcium_Influx_stimulation
Calcium_into_cytoplasm
Calcium_into_store
Leakage
Leakage_from_cytoplasm
TF_degradation
TF_synthesis_basal

Assignment rules

Kd = Kd0 / (1.0 + pow(Z, 4.0) / pow(Kb, 4.0))

kf = kf0 * (1.0 + gamma * pow(Z, 4.0) / (pow(Ka, 4.0) + pow(Z, 4.0)))

Function definitions

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


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Abstract
This work presents both deterministic and stochastic models of genetic expression modulated by intracellular calcium (Ca2+) oscillations, based on macroscopic differential equations and chemical Langevin equations, respectively. In deterministic case, the oscillations of intracellular Ca2+ decrease the effective Ca2+ threshold for the activation of transcriptional activator (TF-A). The average activation of TF-A increases with the increase of the average amplitude of intracellular Ca2+ oscillations, but decreases with the increase of the period of intracellular Ca2+ oscillations, which are qualitatively consistent with the experimental results on the gene expression in lymphocytes. In stochastic case, it is found that a large internal fluctuation of the biochemical reaction can enhance gene expression efficiency specifically at a low level of external stimulations or at a small rate of TF-A dimer phosphorylation activated by Ca2+, which reduces the threshold of the average intracellular Ca2+ concentration for gene expression.
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000166). Biomodels notes: "The model reproduces Figure 3 of the reference publication. The model was integrated and simulated using Copasi v4.5 (Build 30)." JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.