Inputs:

- m
_{E1}^{b}: scalar with reserve density 1 at birth (mol/mol) - m
_{E2}^{b}: scalar with reserve density 2 at birth (mol/mol) - 14-vector with parameters
- v, cm/d, energy conductance
- kap, -, allocation fraction to soma
- mu
_{E1}, J/mol, chemical potential of reserve 1 - mu
_{E2, J/mol, chemical potential of reserve 2} - mu
_{V}, J/mol, chemical potenial of structure - j
_{E1M}, mol/d.mol, specific som maint costs - [M
_{V}], mol/cm^3, density of structure - rho
_{1}, -, preference for reserve 1 (protein) to be used for somatic maintenance - y
_{VE1}, mol/mol, yield of structure on reserve 1 - y
_{VE2}, mol/mol, yield of structure on reserve 2 - E
_{H}^{b}, J, maturity at birth

Ouputs:

- L
_{b}, cm, scalar with length at birth - a
_{b}, d, scalar with age at birth - M
_{E1}^{0}, mol, scalar with initial reserve 1 - M
_{E2}^{0}, mol, scalar with initial reserve 2 - info: indicator for failure (0) or success (1)

`iso_21`

is used in `iso_221`

Inputs:

- tXT: (n,4)-matrix of time since birth, food densities, temperature tXT(1; [2 3]) serves to specify the maternal effect, otherwise food before birth is ignored
- 34-vector of parameters (listed in pairs of frequently related parameters):
- M
_{X1}, M_{X2}, mol, size of food particle of type i - {F
_{X1m}}, {F_{X2m}}, dm^2/d.cm^2, spec searching rates - y
_{P1X1}, y_{P2X2}, mol/mol, yield of feaces i on food i - y
_{E1X1}, y_{E2X1}, mol/mol, yield of reserve Ei on food X1 - y
_{E1X2}, y_{E2X2}, mol/mol, yield of reserve Ei on food X2 - {J
_{X1Am}}, {J_{X2Am}}, mol/d.cm^2, max specific ingestion rate for food Xi - v, kappa, cm/d, energy conductance, -, allocation fraction to soma
- mu
_{E1}, mu_{E2}, J/mol, chemical potential of reserve i - mu
_{V}, j_{E1M}, J/mol, chemical potenial of structure, mol/d.mol, specific som maint costs - {J
_{E1T}}, [M_{V}], mol/d.cm^2, spec surface-area-linked som maint costs J_E1T/ J_E2T = j_E1M/ j_E2M, mol/cm^3, density of structure - k
_{J}, k_{J}^{1}, 1/d, mat maint rate coeff, spec rejuvenation rate - rho
_{1}, del_{V}, -, preference for reserve 1 to be used for som maint, -, threshold for death by shrinking - y
_{VE1}, y_{VE2}, mol/mol, yield of structure on reserve i - kappa
_{E1}, kappa_{E2}, -, fraction of rejected mobilised flux that is returned to reserve - kappa
_{R1}, kappa_{R2}, -, reproduction efficiency for reserve i - E
_{H}^{b}, E_{H}^{p}, J, maturity thresholds at birth, puberty - T
_{A}, h_{H}, K, Arrhenius temperature, 1/d, hazerd due to rejuvenation

- M
- n
_{O}: (4,7)-matrix with chemical indices for organics X1, X2, V, E1, E2, P1, P2 - n
_{M}: (4,4)-matrix with chemical indices for minerals C, H, O, N

Outputs:

- (n,9)-matrix with state variables: cum food eaten (2), reserves (2), (max)structure, (max)maturity , cumulative allocation to reprod (2), hazard
- (n,6)-matrix with other variables: scaled functional responses (2), stress coefficients (2), competition coefficients(2)
- a_b, d, scalar with age at birth
- M_E10, M_E20: scalars with intitial reserves

Example of use: see `mydata_iso_221`

`gr_iso_21`

for growth rate d/dt L (for embryo case)
Inputs: 10 or 11 scalars, the first 6 are listed in pairs of related quantities

- m
_{E1}, m_{E2}: mol/mol, scalars with reserve density - j
_{E1S}, j_{E2S}: mol/d.mol, scalars with spec maintenance flux if from reserve - y
_{VE1}, y_{VE2}: mol/mol, scalars with yield of structure on reserve - mu
_{E1}/ mu_{V}: -, scalar with ratio of chemical potentials (mu_{E1}j_{E1S}= mu_{E2}j_{E2S}) - k
_{E}: 1/d, scalar with reserve turnover rate v/ L - kappa: -, scalar with allowcation fraction to soma
- rho
_{1/sub>: -, scalar with preference for reserve 1 (protein) to be used from somatic maintenance (default 0)} - r
_{0}: 1/d, optional scalar with initial estimate for r

if empty or undefined: 0; else previous result is used

Outputs:

- r: 1/d, scalar with spec growth rate
- j
_{E1}^{S}, j_{E2}^{S}: mol/d.mol, scalars with spec som maintenance flux - j
_{E1C}, j_{E2C}: \ mol/d.mol, scalars with rejected flux of reserve fro growth SUs - info: -, scalar with numerical failure (0) or success (1)

Example of use:
`[r, j_E1_S, j_E2_S, j_E1C, j_E2C, info] = sgr_iso_21 (.4, .6, .02, .04, .8, .8, 1, .1, .8, .1)`

`sgr_iso_21`

for specific growth rate d/dt ln V (for juveniles and adults); `gr_21`

is meant for embryos.
Inputs: 10 or 11 scalars; after the first one, 3 are listed in pairs of related quantities

- L: cm, scalar with structural length
- m
_{E1}, m_{E2}: mol/mol, scalars with reserve density - j
_{E1M}, j_{E2M}: mol/d.mol, scalars with spec maintenance flux if from that reserve - y
_{VE1}, y_{VE2}: mol/mol, scalars with yield of structure on reserve - v: cm/d, scalar with energy conductance
- kappa: -, scalar with allowcation fraction to soma
- rho
_{1}: -, scalar with preference for reserve 1 (protein) to be used for somatic maintenance (default 0) - v
_{B}^{0}: cm/d, optional scalar with initial estimate for v_{B}

if empty or undefined v/3, else previous result is used

Outputs:

- v
_{B}: cm/d, scalar with growth rate d/dt L - j_
_{E1}^{M}, j_{E2}^{M}: mol/d.mol, scalars with spec som maintenance flux - j
_{E1C}, j_{E2C}: mol/d.mol, scalars with rejected flux of reserve fro growth SUs - info: -, scalar with numerical failure (0) or success (1)

Example of use:
`[v_B, j_E1_S, j_E2_S, j_E1C, j_E2C, info] = gr_iso_21 (.1, .4, .6, .02, .04, .8, .8, 1, .02, .8, .1)`

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