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22  M. J. SUTCLIFFE AND N. S. SCRUTTON



                               random mutagenesis – producing modest success, but dependent on being
                               able to ‘pull out’ an improved enzyme by ‘fishing’ in a very large collection
                               of randomly modified enzymes. However, development of a suitable test
                               (i.e. producing the correct ‘bait’) to identify an improved enzyme is intrin-
                               sically very difficult. Therefore the rational approach, although generally
                               unsuccessful, cannot be ignored.
                                  Enzymes are large biological molecules – usually proteins – that speed
                               up chemical reactions. Molecules that speed up chemical reactions, but are
                               unchanged afterwards, are known as catalysts. The substances that
                               enzymes act on are known as substrates. Enzymes exhibit remarkable
                               specificity for their substrate molecules, and can approach ‘catalytic per-
                               fection’. A popular approach to modelling catalysis has been to visualise an
                               energy barrier that must be surmounted to proceed from reactants to prod-
                               ucts (Figure 2.1). The greater the height of this energy barrier, the slower
                               the rate of reaction. Enzymes (like other catalysts) reduce the energy
                               required to pass over this barrier, thereby increasing reaction rate. The
                               structure of the reactant at the top of the barrier is energetically unstable,
                               and is known as the ‘transition state’. The energy required to pass over the
                               barrier is the so-called ‘activation energy’ – the barrier is surmounted by
                               thermal excitation of the substrate. This classical over-the-barrier treat-
                               ment – known as transition state theory – has been used to picture enzyme-
                               catalysed reactions over the past 50 years. However, recent developments
                               indicate that this ‘textbook’ illustration is fundamentally flawed (at least
                               in some circumstances).
                                  The transition state theory considers only the particle-like properties
                               of matter. However, matter (especially those particles with smaller mass)
                               can also be considered as having wave-like properties – this is known as
                               the wave–particle duality of matter. For enzyme-catalysed reactions, an
                               alternative picture to transition state theory has emerged from considering
                               the wave–particle duality of matter. All matter exhibits both particle- and
                               wave-like properties. Large ‘pieces’ of matter, like tennis balls, exhibit pre-
                               dominantly particle-like properties. Very small ‘pieces’ of matter, like
                               photons (of which light is composed), whilst showing some particle-like
                               properties exhibit mainly wave-like properties. One important feature of
                               the wave-like properties of matter is that it can pass through regions that
                               would be inaccessible if it were treated as a particle, i.e. the wave-like prop-
                               erties mean that matter can pass through regions where there is zero prob-
                               ability of finding it. This can be visualised, for example, by considering the
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