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Compact Kernel Of A Metabolic Flux Balance Solution Space, The: Concepts, Algorithms And Implementation (Hardcover)
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Compact Kernel Of A Metabolic Flux Balance Solution Space, The: Concepts, Algorithms And Implementation (Hardcover)
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This monograph offers a fundamentally new approach to facilitate
the study of metabolic networks in cells. It aims to overcome the
limitations of either just a single FBA solution, or an
overwhelming number of extreme pathways in a realistic network.
Instead it focusses on the FBA solution space and describes it in a
simplified way by extracting just a bounded subspace: the Solution
Space Kernel or SSK. This reduces the relevant number of flux space
dimensions by orders of magnitude, and allows its location, size
and shape to be characterised. It is a multi-stage process,
requiring many new concepts and algorithms for manipulating
polytopes in high dimensional spaces.The book introduces and
develops these concepts in a pragmatic way that takes into account
the difficulties of performing analyses in a flux space with
dimensions counting in the hundreds or thousands. It emphasizes the
details of implementation in computational code and applications to
realistic models are demonstrated. For many cases, the number of
constraints and flux variables that fully specify the SSK polytope
is only a single or double-digit number. This allows the range of
metabolic states accessible to a cell to be further interpreted
geometrically in terms of a manageable set of orthogonal diameters
and aspect ratios. In addition, explicit representative fluxes,
giving the centre and periphery of the solution space kernel,
become available for further exploration.
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