Browsing by Author "Billing, Alison Emslie"

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    Modelling techniques for biological reaction systems: 1 Mathematical description and model representation
    (Water Research Commission, 1988) Billing, Alison Emslie; Dold, Peter Lorimer
    This paper is the first in a series of three which deals with modelling and numeric techniques for biological reaction systems. A matrix forĀ­ ma rov1des a usef\11. method for model presentation. The matrix ensures clarity as to the compounds, processes, reaction terms and s01chio.metry compnsmg the model. It allows ready comparison of different models and facilitates incorporating the model in a computer slffiulauon program.
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    Open Access
    Modelling techniques for biological systems
    (1987) Billing, Alison Emslie; Dold, Peter Lorimer
    The objective of this investigation has been to develop and evaluate techniques which are appropriate to the modelling and simulation of biological reaction system behaviour. The model used as the basis for analysis of modelling and simulation techniques is a reduced version of the biological model proposed by the IAWPRC Task Group for mathematical modell ing in wastewater treatment design. This limited model has the advantage of being easily manageable in terms of analysis and presentation of the simulation techniQues whilst at the same time incorporating a range of features encountered with biological growth applications in general. Because a model may incorporate a number of different components and large number of biological conversion processes, a convenient method of presentation was found to be a matrix format. The matrix representation ensures clarity as to what compounds, processes and react ion terms are to be incorporated and allows easy comparison of different models. In addition, it facilitates transforming the model into a computer program. Simulation of the system response first involves specifying the reactor configuration and flow patterns. With this information fixed, mass balances for each compound in each reactor can be completed. These mass balances constitute a set of simultaneous non-linear differential and algebraic eQuations which, when solved, characterise the system behaviour.