Dissolved and particulate excretory products can be transferred to secondary treatment such as plant (Waller et al. RAS provide suitable living conditions for fish, as a result of a multistep water treatment, such as particle separation, nitrification (biofiltration), gas exchange and temperature control. RAS have a low water consumption (Orellana 2014) and allow for a recycling of excretory products (Waller et al. Sustainable growth of aquaculture requires novel (bio)technologies such as recirculating aquaculture systems (RAS). Given the growing human population, there is a growing demand for fish proteins. Global fish aquaculture reached 50 million tons in 2014 (FAO 2016). For a general introduction to mathematical modelling we refer to, for instance, Sinha and Kuszta ( 1983), Willems and Polderman ( 1998) and Zeigler et al.
Still the model may contain some unknown or incompletely known coefficients, the model parameters, which in case of time-varying behaviour define an additional set of system variables. Combining this information defines the model structure. Then relationships between these variables have to be specified on the basis of prior knowledge, and assumptions about the uncertainties in the model have to be made. Firstly, the system boundaries and the system variables have to be specified.
Obtain or enlarge insight in different phenomena, for example, recovering physical or economic relationships.Īnalyse process behaviour using simulation tools, for example, process training of operators or weather forecasts.Įstimate state variables that cannot be easily measured in real time on the basis of available measurements, for instance, online process information.Ĭontrol, for instance, in the internal model control or model-based predictive control concept or to manage processes.Ī critical step in the modelling of any system is to find a mathematical model which adequately describes the actual situation or state.
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