By Jan Hermans
Progressively builds a deep figuring out of macromolecular behavior
Based on all the authors' approximately 40 years of biophysics learn and educating adventure, this article instills readers with a deep knowing of the biophysics of macromolecules. It units a superb origin within the fundamentals via starting with middle actual suggestions comparable to thermodynamics, quantum chemical types, molecular constitution and interactions, and water and the hydrophobic impression. subsequent, the e-book examines statistical mechanics, protein-ligand binding, and conformational balance. ultimately, the authors tackle kinetics and equilibria, exploring underlying idea, protein folding, and stochastic models.
With its robust emphasis on molecular interactions, Equilibria and Kinetics of organic Macromolecules bargains new insights and views on proteins and different macromolecules. The textual content gains insurance of:
- Basic thought, functions, and new learn findings
- Related subject matters in thermodynamics, quantum mechanics, statistical mechanics, and molecular simulations
- Principles and functions of molecular simulations in a committed bankruptcy and interspersed during the text
- Macromolecular binding equilibria from the point of view of statistical mechanics
- Stochastic approaches relating to macromolecules
Suggested readings on the finish of every bankruptcy comprise unique learn papers, studies and monographs, permitting readers to discover person themes in better intensity. on the finish of the textual content, ten appendices supply refreshers on mathematical remedies, together with likelihood, computational equipment, Poisson equations, and defining molecular boundaries.
With its classroom-tested pedagogical procedure, Equilibria and Kinetics of organic Macromolecules is suggested as a graduate-level textbook for biophysics classes and as a reference for researchers who are looking to boost their knowing of macromolecular habit.
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Extra info for Equilibria and Kinetics of Biological Macromolecules
29) P ∂(G/T ) = H. 30) Thus, a complete knowledge of A or G implies a knowledge of all thermodynamic functions. 31) dG = −SdT + VdP + μi dNi to obtain G= Ni μi . 32) Note that this relationship between the free energy and the chemical potential of all species applies only for the Gibbs free energy at ﬁxed T and P . If we take the total differential of this, we obtain dG = Ni dμi + μi dNi . 33) If we equate the total differential of G from this equation with the total differential form of dG given in Eq.
As biological macromolecules interact strongly with water, a change in the activity of water brought about by osmolytes such as glycerol or sucrose can have signiﬁcant effects on, for example, equilibria between conformation states or equilibria for forming macromolecular complexes. This will be taken up in Chapter 9 and again in Chapter 16. Osmotic pressure reﬂects a tendency of solutions to become more dilute. We can think of the free energy as a potential with a corresponding “force” that drives the system to lower values of the potential by making the solution more dilute, similar to the pressure that tends to expand the volume of a gas.
66) This condition for equilibrium can be rewritten as ai νi = KP i ◦ −kB T ln KP = νi μi . 67) 30 THERMODYNAMICS This deﬁnes KP , the equilibrium constant at constant P in terms of the standard chemical potentials of the reactants and the stoichiometry of the reaction. In the case of the above-mentioned simple example this becomes ◦ ◦ aC 2 aA aB 2 ◦ KP = exp[−(2μC − μA − 2μB )/kB T ] = . 68) eq For an ideal solution, the activities can be replaced by concentrations. 69) i where G ◦ is the standard free energy change for the reaction.
Equilibria and Kinetics of Biological Macromolecules by Jan Hermans