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Table 1 Values of the model parameters

From: Carotenoid dynamics in Atlantic salmon

Relative rates

Values (per day)

r hc – transfer from chylomicrons to remnants and albumin

0.5

r lc – uptake from chylomicron remnant to liver

5

r la – deposition in liver from albumin

1.2

r ll – uptake into liver from LDL

5

r lh – uptake into liver from HDL

5

r ld – enzymatic degradation and excretion in liver

0.5

r v – uptake by VLDL from liver

0.25

r hv – transfer from VLDL to LDL and albumin

0.5

r hvldl – uptake into HDL from VLDL

0.5

r al – uptake into albumin from LDL at muscle

0.05

r hldl – uptake into HDL from LDL

0.05

R ma – deposition in muscle from albumin

0.00024 mg·(ml blood)-1·day -1

r hm – transfer into HDL from muscle

0.03

r c – bioavailable fraction of astaxanthin fed

0.5

Tissue weight constants

Values

b – blood volume as a fraction of fish weight

0.045 litre blood·(kg fish)-1

l – liver weight as a fraction of fish weight

0.01 kg liver·(kg fish)-1

m – muscle weight as a fraction of fish weight

0.50 kg muscle·(kg fish)-1

γ, λ, ρ – allometric constants

1

Sigmoid values

Values

n ma – Hill coefficient

2

θ ma – threshold

0.00005 mg·(ml blood)-1

Fractions taken up by albumin

Values

φ – from chylomicrons

0.75

η – from VLDL

0.75

Convolution terms

Values

μ 1 – Mean of I ax

1

σ 1 – Standard deviations of I ax

0.001

μ 2 – Mean of Z

20

σ 2 – Standard deviations of Z

12