Doctoral Degrees (Biochemistry)

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Browsing Doctoral Degrees (Biochemistry) by Author "Akhurst, Timothy John"

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    Symbolic control analysis of cellular systems
    (Stellenbosch : University of Stellenbosch, 2011-03) Akhurst, Timothy John; Rohwer, J. M.; Hofmeyr, J.-H. S.; University of Stellenbosch. Faculty of Science. Dept. of Biochemistry.
    ENGLISH ABSTRACT: Metabolic Control Analysis (MCA) provides a powerful quantitative framework for understanding and explaining the control and regulation within a cellular system. MCA allows the global control of a steady-state system to be quantified in terms of control coeficients, which we can express in terms of the local properties referred to as elasticity coeficients. MCA relates elasticities to control coeficients through a matrix inversion, thus allowing scientists to predict and quantify how the kinetics of the individual enzymes affect the systemic behaviour of cellular systems. Traditionally we solved this problem numerically, while we used algebraic and symbolic control analysis techniques less frequently. By using symbolic algebraic computation we present a general implementation of the symbolic matrix inversion of MCA, known as SymCA, which requires only the description of any allosteric modifier interactions and the stoichiometry of a cellular system. The algebraic expressions generated allow an in-depth analysis of the distribution of the control within a system and also of the parameters which exhibit the greatest effect on this control distribution. This also applies when the exact values for the elasticities or control coeficients are unknown. We have demonstrated that by quantifying the control patterns, referred to as `routes of regulation', inherent in all control coeficient expressions, we can gain insight into how perturbations are propagated through a cellular system and which regulatory pathways are favoured under changing conditions.