Library

feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 112 (2000), S. 6554-6562 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We use the maximum-entropy method to calculate molecular energy distributions from the moments of the distribution which in turn can be obtained from the temperature dependence of the heat capacity. If one knows the temperature expansion of the heat capacity through the nth power of the temperature, this then gives the exact first (n+2) energy moments. We illustrate the method for the ideal gas (the Maxwell–Boltzmann distribution of kinetic energy) and then use a model function to show that if one knows four or more moments of the energy distribution this allows one to resolve two or more distinct peaks in this function. We examine argon above the critical pressure, a one-dimensional model, and the protein barnase, all of which exhibit bimodal energy distributions. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 111 (1999), S. 8214-8224 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We use the maximum-entropy method to calculate the chain-length distribution as a function of time for cooperative polymerization models involving nucleation and growth. At least the first two moments of the distribution are required for the maximum-entropy method. To obtain the moments we use a generating function to give the moment rate equations which in general involves an infinite set of coupled differential equations which can be truncated to give a finite set by using various closure approximations. In particular we use the maximum-entropy method to treat the reversible growth of chains from a fixed concentration of initiators in which case the initial distribution is a sharp Poisson-type one that then evolves slowly to the very broad equilibrium distribution. For this model we find that there is a scaled time that reduces the time dependence of the moments to a universal set of asymptotic curves. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 106 (1997), S. 1628-1640 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We continue our investigation of a model lattice polymer where only local conformational changes (cooperative trans ↔ cis transitions) are allowed requiring the diffusion of randomness into the interior from the ends of the chain for the process of contraction of an initially extended (all-trans) chain. Simulations of the kinetics show that in the early stages of the dynamics there is a marked tendency for the cis states entering the chain to exist largely on either odd or even numbered sites in the chain thus generating a sublattice asymmetry or order in the molecule, a pattern that is largely lost at equilibrium. A similar soluble continuum model suggests that the net amount of cis in the chain should increase with time approximately as a simple exponential with the relaxation time proportional to the square of the chain length. This suggests that if a given dynamic function is plotted versus the scaled time (time divided by the chain length squared) one will obtain a general function independent of chain length. Simulations of the kinetics of the net amount of cis in the system support this scaling precisely. The difference in the number of cis states on the odd and even sublattices approaches a limiting scaled form, but develops a maximum as the chain length increases. The kinetics of the decrease in the end-to-end distance on contraction slowly approaches a limiting form in the scaled time, developing a t−1/2 tail as the chain length goes to infinity. This later behavior is similar to the critical slowing down in the mean-field approximation to relaxation in the three-dimensional Ising model near the critical point. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 113 (2000), S. 4774-4784 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The probability distribution that a biopolymer has n ligands bound to it can be determined from the ligand-binding curve that gives the average number of ligands bound as a function of free-ligand concentration in solution. One fits the binding curve as a function of ligand concentration locally to an expansion in the ligand concentration. The expansion coefficients can be turned into moments of the ligand-binding distribution function which, using the maximum-entropy method, gives an accurate construction of the entire ligand-binding distribution function. A linear expansion gives two moments of the distribution while a cubic expansion gives four. In many cases two moments are sufficient to give a very accurate distribution function. The method is exactly analogous to the use of heat capacity data as a function of temperature to construct the enthalpy probability distribution. As with the case of the enthalpy distribution applied to proteins, knowledge of four moments of the distribution function is sufficient to resolve bimodal behavior in the distribution function. Several examples using model systems that involve independent units, cooperative units, and ligand-induced conformational changes (illustrating bimodal behavior) are given. We then examine literature data for the titration of ribonuclease and, using our method of moments, resolve all 30 average proton binding constants for the molecule. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 6530-6537 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We compare upper and lower bounds for the rate of the reversible, cooperative adsorption of hard particles from a reservoir at constant activity to a lattice surface where the only cooperative effect is excluded volume. The adsorption rate is proportional to the density of groups of unoccupied lattice sites: holes, large enough to accommodate a particle. The bounds on the rate of adsorption are then bounds on the density of holes. The upper bound for particles that are infinitely mobile on the surface is obtained from the equilibrium Mayer activity series for the pressure, while the lower bound is obtained from the extensive exact series calculated by Gan and Wang [J. Chem. Phys. 108, 3010 (1998)] for the case of irreversible random sequential adsorption where the particles are immobile once adsorbed. In all cases the bounds coincide at low densities. For the one-dimensional lattice with nearest-neighbor exclusion (where the bounds are known exactly) the upper and lower bounds are very close for all densities below the limit of random close packing as they are for the adsorption of hard dimers on two-dimensional lattices. Thus in these cases equilibrium statistical mechanics can give useful information about the kinetics of cooperative processes. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 102 (1995), S. 2604-2613 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The maximum-entropy method is used to construct the end-to-end distribution function for lattice polymers when a large number of moments are known exactly. We use two-dimensional lattice polymers with a finite range of intrachain interaction as examples since, for these systems, the end-to-end distribution function and any number of moments can be calculated exactly using Toeplitz matrices. For chains with strong intrachain interactions the distributions are very non-Gaussian requiring up to six moments to reproduce the main features of the functions. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 105 (1996), S. 1242-1269 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A method is outlined for the computer simulation of the cooperative kinetics required to construct the distribution function for time intervals between fluctuations in conformational states in macromolecules. Using the helix-coil transition in polyamino acids as an example, we develop a Monte Carlo cellular automata approximation of the kinetics of this system in discrete time. This approximation is tested against a number of exact solutions for homopolymers and is then used to calculate moments of the distribution function for the time intervals between switches in conformational state at a given site (e.g., given a switch from coil to helix at zero time, how long will it take before the state switches back). The maximum-entropy method is used to construct the very broad distribution function from the moments. In heteropolymers the diffusion of helix-coil boundaries is reduced, helix being more localized on strong helix-forming residues. We investigate the effect of a specific sequence of amino acid residues on conformational fluctuations by using the known σ and s values for the naturally occurring amino acids to simulate the kinetics of helix formation (limiting the range of cooperativity to the α-helix) in sperm whale myoglobin, giving the time evolution to the equilibrium probability profile in this system. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 8
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Biochemistry 6 (1967), S. 3791-3800 
    ISSN: 1520-4995
    Source: ACS Legacy Archives
    Topics: Biology , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 9
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    Macromolecules 24 (1991), S. 3361-3367 
    ISSN: 1520-5835
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 4862-4877 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Cooperative interactions between reacting species (nonideal effects) enhance the nonlinear character of chemical reactions kinetics. In the limit that the equilibration between the solvent and the reactants and products is rapid compared to the rate of conversion of reactants to products (and vice versa), one can use grand partition function techniques to calculate the probabilities of the appropriate reactant and product complexes with solvent. This leads in turn to the rate equation in terms of the activities of the particles; relations from equilibrium statistical mechanics allow one to convert back and forth between concentrations and activities. For the example of chemistry occurring in a one-dimensional lattice gas, a grand partition function-like quantity is used to generate the rate equation (a sum over all solvent cages weighted with the appropriate rate constants). A general form is given for the linearized rate equation in nonideal systems arbitrarily far from equilibrium. As expected, it is found that nonideality as well as distance from equilibrium can lead to instabilities and oscillations. As an example, we treat a simple association reaction (2x↔y), where the only nonideal effect is excluded volume. If we make the system open by allowing x to enter the system with a rate proportional to the number of vacant lattice sites (and y to leave the system with first order kinetics), then far from equilibrium this reaction shows oscillations (stable spirals) with and without the effect of excluded volume. We discuss the use of the angle between the eigenvectors (in the appropriate coordinate system) as a measure of the distance to the onset of oscillation.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...