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Table 1 Model overview.

From: Long-term prediction of fish growth under varying ambient temperature using a multiscale dynamic model

Submodel

Variables

Interpetation

Dim.

Eqn.

Param.

timescale

Protein

a a

Free amino acids (AA) concentration

â„™20

Table 2

Table 3

medium

 

a p

Amino acids channeled to protein synthesis

â„™20

  

medium

 

a b

Amino acids channeled to catabolism (break-down)

â„™20

  

medium

 

p a

Tissue protein, given by its amino acids composition

â„™20

  

slow

Lipid

AcCoA cyt

Acetyl-CoA in the cytosol

â„™1

Table 4

Table 5

fast

 

malCoA

Malonyl-CoA

â„™1

  

fast

 

FA

Fatty acids (palmitate)

â„™1

  

medium

 

TAG

Tri-acylglycerol

â„™1

  

slow

Intermediate metabolism

pyr

Pyruvate

â„™1

Table

Table 8

fast

    

6, 7

  
 

AcCoA

Acetyl-Coa (matrix)

â„™1

  

fast

 

cit

Citrate concentrations in the mitochondria

â„™1

  

fast

 

iso

Isocitrate concentrations in the mitochondria

â„™1

  

fast

 

keto

α-ketoglutrate concentrations in the mitochondria

â„™1

  

fast

 

succ

Succinate concentrations in the mitochondria

â„™1

  

fast

 

mal

Malate concentrations in the mitochondria

R1

  

fast

 

oxal

Oxaloacetate concentrations in the mitochondria

â„™1

  

fast

 

mal cyt

Malate concentrations in the cytosol

â„™1

  

fast

 

oxal cyt

Oxaloacetate concentrations in the cytosol

â„™1

  

fast

 

Glu

Glucose concentrations (glycolysis process)

â„™1

Table 9

Table 9

fast

 

g6p

glucose-6-phosphate concentrations (glycolysis)

â„™1

  

fast

 

pGt

6-phosphogluconate concentrations (glycolysis)

â„™1

  

fast

 

G3p

glyceraldehyde 3-phospate concentrations (glycolysis)

â„™1

  

fast

(feed)

u feed

The nutrients FA, glucose and 20 amino acids consumed

â„™23

N/A

N/A

medium

Output

y(t)

The output of the model, consists of protein (sum of its amino acids), storage lipids (TAG), NH3, O2 and CO2, all in units of gram

â„™5

N/A

N/A

f/s/m

  1. The model states, input and output variables and its respective timescales. The underscore cyt denotes variables in the cytosol. Amino acids (AA) vectors consist of the 20 amino acids. All units are given in [μmol] unless stated otherwise.