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Table 1 Optimized parameter values of the TK model along with the corresponding process they describe

From: Mathematical model of uptake and metabolism of arsenic(III) in human hepatocytes - Incorporation of cellular antioxidant response and threshold-dependent behavior

Notation

Parameter

Value

Units

Description

1

kATG int

0.25

1/min

Rate of production of ATG

2

kMADG int

90

1/min

Rate of production of MADG

3

kDMAG

0.0122

1/min

Rate of production of DMAG

4

koxd

33.254

1/min

Rate of oxidation of DMAIII

5

koxm

0.2375

1/min

Rate of oxidation of MMAIII

6

kiAsIIIint

320

1/min

Rate of production of iAsIII

7

kMMAIIIint

1200

1/min

Rate of production of MMAIII

8

n3

8

-

Hill coefficient of inhibition of MMAIII production

9

Kd3

12.94

μM

Dissociation constant of inhibition of MMAIII

10

fGSHm

0.992

-

Coefficient of inhibition of MADG hydrolysis

11

kgin

704.96

1/min

Rate of GSH production increase

12

kDMAIIIint

0.8472

1/min

Rate of production of DMAIII

13

fGSHd

0.9988

-

Coefficient of inhibition of DMAG hydrolysis

14

Vmaxt2

1.237

pmol/min

Maximal rate of MADG efflux

15

Kmt2

19.47

μM

Half saturation constant of MADG efflux

16

kmin

512.27

1/min

Rate of upregulation of MRP

17

kss

4.26

1/min

Steady state rate of efflux of iAsIII

18

Ï„e

10

min

Time constant of AQP9 inactivation

19

k0

4.2

1/min

Initial rate of efflux of iAsIII

20

kinf

1.613

1/min

Influx of iAsIII

21

kMMAext

0.0006

1/min

Rate of efflux of MMA

22

fm

0.2

-

Coefficient of efflux of MMA

23

Vmaxt1

0.35

pmol/min

Maximal rate of ATG efflux

24

Kmt1

2.3

μM

Half saturation constant of ATG efflux

25

kDMAext

0.002

1/min

Rate of efflux of DMA

26

fd

3

-

Coefficient of efflux of DMA

27

Vmaxm

50

pmol/min

Maximal rate of ATG methylation

28

Kmm

9.32

μM

Half saturation constant of ATG methylation

29

n1

1.22

-

Hill coefficient of ATG methylation

30

Kd1

0.315

μM

Dissociation constant of ATG methylation

31

Kim

1.53

μM

Inhibition constant of ATG methylation

32

Kid

1

μM

Inhibition constant of MADG methylation

33

Vmaxd

8

pmol/min

Maximal rate of MADG methylation

34

Kmd

0.034

μM

Half saturation constant of MADG methylation

35

n2

1.83

-

Hill coefficient of MADG methylation

36

Kd2

2.33

μM

Dissociation constant of MADG methylation

37

kain

1.64

1/min

Rate of AS3MT efficiency increase

38

fA

50

-

Coefficient of MADG methylation inactivation

39

kTR

0.99

1/min

Rate of TR signaling

40

kTRinact

987.13

1/min

Rate of TR inactivation

41

TRC

15

-

Constant of TR inactivation

42

N

1.75

-

Hill coefficient of TR inactivation

43

TR0

9.27

1/min

Steady state value of TR activity