Table 1. Overview of variables, parameters and observables of the mathematical model (equation (2.1)).
symbol | description | value | |
---|---|---|---|
variables | X | expression of pro-endocrine transcription factor Ngn3 | 0 (initial) |
Y | expression of transcription factor Ptf1a | 0 (initial) | |
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average Ngn3 expression in neighbouring cells | 0 (initial) | |
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average Ptf1a expression in neighbouring cells | 0 (initial) | |
parameters | a | strength of lateral inhibition | 1 |
b | strength of lateral stabilization | 20 | |
c | strength of intracellular inhibition | 1 | |
θ | external activation | 0.1 | |
n | Hill coefficient | 4 | |
ηx | amplitude of Gaussian white noise on X | 10−4 | |
ηy | amplitude of Gaussian white noise on Y | 0 | |
observables | τx | time until symmetry break in X | |
τy | time until super-induction of Y | ||
ε | ratio of endocrine cells |