. 2018 Nov 6;8:16384. doi: 10.1038/s41598-018-34786-w

Table 1.

Dynamic Energy Budget model equations that describe energy flows illustrated in Fig. 2.

Energy flow or state variable dynamics	Equation
Ingestion, ${\dot{p}}_{X}$	${\dot{p}}_{X} = {{\dot{p}}_{X m}} V^{2 / 3} f T_{C}$ $f = (\frac{X}{X_{K} + X})$
Assimilation, ${\dot{p}}_{A}$	${\dot{p}}_{A} = {{\dot{p}}_{A m}} f V^{2 / 3}$ ${{\dot{p}}_{A m}} = a e {{\dot{p}}_{X m}} S_{M}$ $S_{M} = \min (V^{1 / 3}, L_{J}) / L_{b}$
Utilization, ${\dot{p}}_{C}$	${\dot{p}}_{C} = \frac{E / V}{[E_{G}] + κ E / V} (\frac{[E_{G}] {{\dot{p}}_{A m}} V^{2 / 3}}{[E_{m}]}) + [{\dot{p}}_{M}] V$
Somatic growth, ${\dot{p}}_{G}$	${\dot{p}}_{G} = κ {\dot{p}}_{C} - {\dot{p}}_{M}$
Somatic maintenance, ${\dot{p}}_{M}$	${\dot{p}}_{M} = [{\dot{p}}_{M}] V T_{C}$
Reproduction/maturation, ${\dot{p}}_{R}$	${\dot{p}}_{R} = (1 - κ) {\dot{p}}_{C} - {\dot{p}}_{J}$
Reproductive maintenance, ${\dot{p}}_{J}$	${\dot{p}}_{J} = \min (V, V_{P}) [{\dot{p}}_{M}] (\frac{1 - κ}{κ}) T_{C}$
Reserve dynamics, E	$\frac{dE}{dt} = {\dot{p}}_{A} - {\dot{p}}_{C}$
Structure dynamics, V	$\frac{dV}{dt} = {\dot{p}}_{G} / [E_{G}]$
Reproductive buffer dynamics, E_R	$\frac{{dE}_{R}}{dt} = {\dot{p}}_{R} κ_{R}$
Temperature correction, T_c	$T_{C} = e x p [\frac{T_{A}}{T_{1}} - \frac{T_{A}}{T}] {(1 + e x p [\frac{T_{A L}}{T} - \frac{T_{A L}}{T_{L}}] + e x p [\frac{T_{A H}}{T_{H}} - \frac{T_{A H}}{T}])}^{- 1}$ $T_{C} = {\begin{matrix} T_{C}, w h e n s u b m e r g e d \\ T_{C} M_{d}, a e r i a l e x p o s u r e \end{matrix}$