Multiple ion binding equilibria, reaction kinetics, and thermodynamics in dynamic models of biochemical pathways.

The operation of biochemical systems in vivo and in vitro is strongly influenced by complex interactions between biochemical reactants and ions such as H(+), Mg(2+), K(+), and Ca(2+). These are important second messengers in metabolic and signaling pathways that directly influence the kinetics and thermodynamics of biochemical systems. Herein we describe the biophysical theory and computational methods to account for multiple ion binding to biochemical reactants and demonstrate the crucial effects of ion binding on biochemical reaction kinetics and thermodynamics. In simulations of realistic systems, the concentrations of these ions change with time due to dynamic buffering and competitive binding. In turn, the effective thermodynamic properties vary as functions of cation concentrations and important environmental variables such as temperature and overall ionic strength. Physically realistic simulations of biochemical systems require incorporating all of these phenomena into a coherent mathematical description. Several applications to physiological systems are demonstrated based on this coherent simulation framework.

[1]  R. Veech,et al.  Effects of pH and free Mg2+ on the Keq of the creatine kinase reaction and other phosphate hydrolyses and phosphate transfer reactions. , 1979, The Journal of biological chemistry.

[2]  D. Burk,et al.  The Determination of Enzyme Dissociation Constants , 1934 .

[3]  C. Gibbs The cytoplasmic phosphorylation potential. Its possible role in the control of myocardial respiration and cardiac contractility. , 1985, Journal of molecular and cellular cardiology.

[4]  K. Vinnakota,et al.  Computer Modeling of Mitochondrial Tricarboxylic Acid Cycle, Oxidative Phosphorylation, Metabolite Transport, and Electrophysiology* , 2007, Journal of Biological Chemistry.

[5]  R. Scopes Studies with a reconstituted muscle glycolytic system. The rate and extent of glycolysis in simulated post-mortem conditions. , 1974, The Biochemical journal.

[6]  A. Guyton,et al.  Textbook of Medical Physiology , 1961 .

[7]  A. Schoolwerth,et al.  Metabolite transport in mitochondria. , 1979, Annual review of biochemistry.

[8]  Daniel A Beard,et al.  Detailed kinetics and regulation of mammalian NAD-linked isocitrate dehydrogenase. , 2008, Biochimica et biophysica acta.

[9]  M. Kushmerick Multiple equilibria of cations with metabolites in muscle bioenergetics. , 1997, The American journal of physiology.

[10]  Daniel A Beard,et al.  Phosphate metabolite concentrations and ATP hydrolysis potential in normal and ischaemic hearts , 2008, The Journal of physiology.

[11]  Daniel A. Beard,et al.  Detailed Enzyme Kinetics in Terms of Biochemical Species: Study of Citrate Synthase , 2008, PloS one.

[12]  R. Alberty,et al.  Relations between biochemical thermodynamics and biochemical kinetics. , 2006, Biophysical chemistry.

[13]  B. Korzeniewski Theoretical studies on the regulation of oxidative phosphorylation in intact tissues. , 2001, Biochimica et biophysica acta.

[14]  Lufang Zhou,et al.  Regulation of lactate production at the onset of ischaemia is independent of mitochondrial NADH/NAD+: insights from in silico studies , 2005, The Journal of physiology.

[15]  A. Katz Physiology of the heart , 1977 .

[16]  A. Lehninger Principles of Biochemistry , 1984 .

[17]  William C Stanley,et al.  Myocardial substrate metabolism in the normal and failing heart. , 2005, Physiological reviews.

[18]  Hong Qian,et al.  Chemical Biophysics: Conventions and calculations for biochemical systems , 2008 .

[19]  R. Alberty Thermodynamics of Biochemical Reactions , 2003 .

[20]  M. Vendelin,et al.  Regulation of mitochondrial respiration in heart cells analyzed by reaction-diffusion model of energy transfer. , 2000, American journal of physiology. Cell physiology.

[21]  E. Clarke,et al.  Evaluation of Debye–Hückel limiting slopes for water between 0 and 150°C , 1980 .

[22]  Hong Qian,et al.  Chemical Biophysics: Biochemical reaction networks , 2008 .

[23]  Daniel A Beard,et al.  Analysis of cardiac mitochondrial Na+–Ca2+ exchanger kinetics with a biophysical model of mitochondrial Ca2+ handing suggests a 3: 1 stoichiometry , 2008, The Journal of physiology.

[24]  Hong Qian,et al.  Chemical Biophysics: Quantitative Analysis of Cellular Systems , 2008 .

[25]  Melissa L Kemp,et al.  Dynamics of muscle glycogenolysis modeled with pH time course computation and pH-dependent reaction equilibria and enzyme kinetics. , 2006, Biophysical journal.

[26]  K Ugurbil,et al.  Myocardial oxygenation and high-energy phosphate levels during graded coronary hypoperfusion. , 2001, American journal of physiology. Heart and circulatory physiology.

[27]  Robert G Weiss,et al.  Is the failing heart energy starved? On using chemical energy to support cardiac function. , 2004, Circulation research.

[28]  R. Alberty,et al.  The effect of pH on fumarase activity in acetate buffer. , 1955, The Journal of biological chemistry.

[29]  K Ugurbil,et al.  Bioenergetic abnormalities associated with severe left ventricular hypertrophy. , 1993, The Journal of clinical investigation.

[30]  R S Balaban,et al.  Relation between work and phosphate metabolite in the in vivo paced mammalian heart. , 1986, Science.

[31]  R. Alberty Levels of thermodynamic treatment of biochemical reaction systems. , 1993, Biophysical journal.

[32]  J. Bassingthwaighte,et al.  Myocardial density and composition: a basis for calculating intracellular metabolite concentrations. , 2004, American journal of physiology. Heart and circulatory physiology.

[33]  Daniel A Beard,et al.  Oxidative ATP synthesis in skeletal muscle is controlled by substrate feedback. , 2007, American journal of physiology. Cell physiology.

[34]  Marko Vendelin,et al.  Analysis of functional coupling: mitochondrial creatine kinase and adenine nucleotide translocase. , 2004, Biophysical journal.

[35]  G. Dobson,et al.  Effect of temperature on the creatine kinase equilibrium. , 1992, The Journal of biological chemistry.

[36]  M. Konishi,et al.  Cytoplasmic free concentrations of Ca2+ and Mg2+ in skeletal muscle fibers at rest and during contraction. , 1998, The Japanese journal of physiology.

[37]  H. Qian,et al.  Relationship between Thermodynamic Driving Force and One-Way Fluxes in Reversible Processes , 2006, PloS one.

[38]  R. Alberty A Short History of the Thermodynamics of Enzyme-catalyzed Reactions , 2004, Journal of Biological Chemistry.

[39]  D. Maughan,et al.  On the composition of the cytosol of relaxed skeletal muscle of the frog. , 1988, The American journal of physiology.

[40]  G. Dobson,et al.  Adjustment of K' to varying pH and pMg for the creatine kinase, adenylate kinase and ATP hydrolysis equilibria permitting quantitative bioenergetic assessment. , 1995, The Journal of experimental biology.

[41]  G. Dobson,et al.  Adjustment of K' for the creatine kinase, adenylate kinase and ATP hydrolysis equilibria to varying temperature and ionic strength. , 1996, The Journal of experimental biology.