Table 1 List of core parameters

1

k _Mp73E+

0.00015

MITF phosphorylation on S73, ERK dependent (Mol^-1min^-1)

2

k _Mp73-

0.03

MITF de-phosphorylation on S73 (min^-1)

3

k _Mp73a+

0.025

MITF auto-phosphorylation on S73 (min^-1)

4

k _Mp409+

0.0001

MITF phosphorylation on S409 (Mol^-1min^-1)

5

k _Mp409-

0.04

MITF de-phosphorylation on S409 (min^-1)

6

k _Mass

0.01

MITF/PIAS3 association (Mol^-1min^-1)

7

k _Mdiss

1

MITF/PIAS3 dissociation (min^-1)

8

k _Mp73ass

0.03

MITFp79/PIAS3 association (Mol^-1min^-1)

9

k _Mp73diss

0.5

MITFp79/PIAS3 dissociation (min^-1)

10

k _Mp409ass

0.0001

MITFp409/PIAS3 association (Mol^-1min^-1)

11

k _Mp409diss

1

MITFp409/PIAS3 dissociation (min^-1)

12

k _Mppass

0.01

MITFpp/PIAS3 association (Mol^-1min^-1)

13

k _Mppdiss

1

MITFpp/PIAS3 dissociation (min^-1)

14

k _Sp+

0.0002

STAT3 phosphorylation (Mol^-1min^-1)

15

k _Sp-

0.04

STAT3 de-phosphorylation (min^-1)

16

k _Spass

0.005

STAT3p/PIAS3 association (Mol^-1min^-1)

17

k _Spdiss

0.2

STAT3p/PIAS3 dissociation (min^-1)

18

p _MITF

1

MITF production (Mol min^-1)

19

γ _MITF

0.0012

MITF degradation (min^-1)

20

γ _MITFp73

0.02

MITFp73 degradation (min^-1)

21

γ _MITFp409

0.01

MITFp409 degradation (min^-1)

22

P _PLAS3

0.262

PIAS3 production (Mol min^-1)

23

γ _PLAS3

0.008

PIAS3 degradation (min^-1)

24

P _STAT3

0.211

STAT3 production (Mol min^-1)

25

γ _STAT3

0.002

STAT3 degradation (min^-1)

26

k _Rp+

0.0004

RSK1 phosphorylation (Mol^-1min^-1)

27

k _Rp

0.04

RSK1 de-phosphorylation (min^-1)

28

ERK _p

10

ERKp concentration (Mol)

29

JAK _p

10

JAKp concentration (Mol)

30

K _u

0.0001

Ubiquitination (Mol^-1min^-1)