Page 109 - Thermodynamics of Biochemical Reactions
P. 109

Thernwdyanamics of Biochemical Reactions. Robert A. Alberty
                                                                               Copyright 0 2003 John Wiley & Sons, Inc.
                                                                                              ISBN 0-471-22851-6



































                         m  6.1   Calculation of  Net  Reactions  Using Matrix
                                  Multiplication
                         5s  6.2   Calculation of  Pathways by Solving Linear
                                  Equations
                         :&   6.3   Use of  a Legendre Transform for Reactions
                                  Involving Water as a Reactant
                                  Calculations of  Equilibrium  Compositions for
                                  Systems of  Biochemical  Reactions
                            6.5   Three Levels of  Calculations of Compositions
                                  for Systems of  Biochemical  Reactions
                            6.6   Consideration of Glycolysis at Specified [ATP],
                                  [ADPI, [INADOXI, CNAD,,,I,  and [Pi]
                         88i  6.7   Calculation of the Equilibrium  Composition for
                                  Glycolysis





                         Systems of  biochemical  reactions like glycolysis, the citric acid  cycle, and larger
                         and  smaller  sequential  and  cyclic  sets  of  enzyme-catalyzed  reactions  present
                         challenges  to make calculations  and  to obtain an overview. The calculations  of
                         equilibrium compositions for these systems of reactions are different from equilib-
                         rium  calculations  on  chemical  reactions  because  additional constraints,  which
                         arise from the enzyme mechanisms, must be taken into account. These additional
                         constraints are taken into account when the stoichiometric number matrix is used
                         in  the  equilibrium  calculation  via  the  program  equcalcrx,  but  they  must  be
                         explicitly  written  out  when  the  conservation  matrix  is  used  with  the  program
                         equcalcc. The stoichiometric  number matrix for a system of  reactions can also be
                         used to calculate net  reactions and pathways.
                             Since concentrations  of  ATP, ADP, NAD,,,  and NAD,,,  may  be in  steady
                         states, it is of interest to calculate equilibrium compositions that correspond with
                         these  steady  state concentrations.  These  calculations  are  referred  to  as  level  3
                         equilibrium  calculations because  they  are based  on  the  introduction  of  [ATP],
                         [ADP],  and the like, as natural variables by  use of  a  Legendre transform.







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