Toolbox: iso_21

Life cycle of an isomorph with 2 reserves, 1 structure and several food types. In the present version, reserve 1 is a protein reserve and reserve 2 a non-protein reserve (carbohydrates, lipids etc). Somatic maintenance is preferably from non-protein reserve; growth has a fixed stoichemetry for protein and non-protein. Each type of food contributes to both protein and non-protein reserve, but in a type-specific way. Feeding (including selection) follows the rules of SU-dynamics with interaction, where binding probabilities are linked to the difference between maximum and actual reserves. Model-details and algorithms are discussed in the Comments for Section 5.2.7.

iso_21

Obtains length and age at birth and the initial amounts of reserves, given the reserve densities at birth and parameters.

Inputs:

Ouputs:

iso_21 is used in iso_221


iso_221

Obtains a number of variables as functions of time, given profiles of 2 types of food densities and temperature and parameters.

Inputs:

Outputs:

Example of use: see mydata_iso_221


sgr_iso_21

Obtains the specific growth rate d/dt ln V with 2 reserves as function of the reserve densities (protein and non-protein) and parameters, allowing for shrinking. It uses a Newton Raphson method with continuation. Notice that the reserve turnover rate kE (input number 8) and the specific somatic maintenance jEiS generally change in time (i.e. the surface-linked part of somatic maintenance). See 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

Outputs:

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)


gr_iso_21

Obtains the growth rate d/dt L with 2 reserves as function of the reserve densities (protein and non-protein) and parameters, not allowing for shrinking. It uses a Newton Raphson method with continuation. See 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

Outputs:

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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