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To describe the relationship between the variation of substrates and products with the cell number, the mass balance equations are defined as a set of ordinary differential equations (ODEs) based on biological knowledge and taking into account the inner structure of the cells.
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The order and degree of partial differential equations are defined the same as for ordinary differential equations.
Using R package, the regression equation is defined as Equation (2).
Heat and mass balance equations are given.
Once a model is composed, balance equations are automatically generated.
Based on the concept of averaging the field equations, conservation and balance equations are developed.
The mass balance equations are presented in Table 3.
The recovery is calculated from material balance equations and is defined as the sum of intracellular and extracellular metabolite amounts at the respective time-point divided by initial AS amount.
An energy balance equation may be defined in a similar way, including terms for the exchange of long-wave and shortwave radiation with the Sun and atmosphere and for the transport of sensible and latent heat associated with convection and evaporation.
Fluent simulation tool together with energy balance equations were used.
The most common mathematical tool used for solving these balance equations is flux balance analysis (FBA).
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CEO of Professional Science Editing for Scientists @ prosciediting.com