Analyzing the Distribution of Decay Constants in Pulse-Fluorimetry Using the Maximum Entropy Method

The maximum entropy method (MEM) is used to analyze time-resolved pulse-fluorescence spectrometry. The central problem in such analyses is the recovery of the distribution of exponentials describing the decay of the fluorescence (i.e., inverting the Laplace transform) which is, in turn, convolved by the shape of the excitation flash. MEM is shown to give high quality results from both computer-generated “noisy” data and experimental data from chemical and biological molecules.

The use of the Shannon-Jaynes entropy function is justified and both the theoretical and practical advantages of MEM are presented. The MEM results are easy to interpret and can help to overcome some experimental limitations. In particular MEM could be a powerful tool to analyze the heterogeneity of fluorescent emission of biological macromolecules which can be correlated with their conformational dynamics in solution.

     

太赫兹(THz)光谱在生物大分子研究中的应用

太赫兹(THz)辐射是一种新型的远红外相干辐射源,近年来,在生物大分子研究中得到了广泛的应用,特别是在生物分子的结构和动力学特性等方面有着巨大的应用潜力.结合THz光谱的特点,介绍了利用THz光谱对蛋白质、糖类及DNA等生物大分子的探索研究,以及THz技术在测定水环境与生物分子相互作用等方面的应用.探讨了该技术在生物学领域应用中有待解决的问题及发展前景.     

Binding cross-reactivity of Boc-phenylalanine enantiomers on molecularly imprinted polymers

A potential problem associated with molecularly imprinted polymer (MIP) sorbents is that of cross-reactivity. In this study three MIPs (imprinted with Boc-L-phenylalanine, Boc-L-alanine, Boc-L-glutamic acid) plus a non-imprinted control were prepared and examined for their ability to bind differentially the enantiomers of boc-protected phenylalanine in an effort to quantify cross-reactivity and to develop a predictive model. Batch rebinding studies showed a degree of predictability for a number of MIP-ligand pairs, but other combinations showed unexpectedly high levels of cross-reactivity. Despite the general acceptance of heterogeneity of MIP binding sites, many previous studies report linear Scatchard plots, which is indicative of binding site homogeneity. The data from this study produced curves, clearly demonstrating heterogeneity. The theoretical and practical implications of this heterogeneity are discussed. Chirality 9:233–237, 1997. © 1997 Wiley-Liss, Inc.     

Macromolecular crowding in biological systems: hydrodynamics and NMR methods

Most biologically relevant environments involve highly concentrated macromolecular solutions and most biological processes involve macromolecules that diffuse and interact with other macromolecules. Macromolecular crowding is a general phenomenon that strongly affects the transport properties of macromolecules (rotational and translational diffusion) as well as the position of their equilibria. NMR methods can provide information on molecular interactions, as well as on translational and rotational diffusion. In fact, rotational diffusion, through its determinant role in NMR relaxation, places a practical limit on the systems that can be studied by NMR. While in dilute solutions of non-aggregating macromolecules this limit is set by macromolecular size, in crowded solutions excluded volume effects can have a strong effect on the observed diffusion rates. Hydrodynamic theory offers some insight into the magnitude of crowding effects on NMR observable parameters.     

A robust and efficient automated docking algorithm for molecular recognition.

A completely automated method is described for determining the most likely mode of binding of two (macro)molecules from the knowledge of their three-dimensional structures alone. The method is based on well-known graph theoretical techniques and has been used successfully to determine and rationalize the binding of a number of known macromolecular complexes. In this article we present results for a special case of the general molecular recognition problem--given the information concerning the particular atoms involved in the binding for one of the molecules, the algorithm can correctly identify the corresponding (contacting) atoms of the other molecule. The approach used can be easily extended to the general molecular recognition problem and requires the extraction of maximal common subgraphs. In these studies the docking of the macromolecules was achieved without the aid of computer graphics or other visual aids. The algorithm has been used to determine the correct mode of binding of a protein antigen to an antibody in approximately 100 min on a DEC micro VAX 3600.     

Conformations of macromolecules and their complexes from heterogeneous datasets

We describe a new generation of algorithms capable of mapping the structure and conformations of macromolecules and their complexes from large ensembles of heterogeneous snapshots, and demonstrate the feasibility of determining both discrete and continuous macromolecular conformational spectra. These algorithms naturally incorporate conformational heterogeneity without resort to sorting and classification, or prior knowledge of the type of heterogeneity present. They are applicable to single-particle diffraction and image datasets produced by X-ray lasers and cryo-electron microscopy, respectively, and particularly suitable for systems not easily amenable to purification or crystallization.     

Study of immunochemical heterogeneity of Azospirillum brasilense lipopolysaccharides

A comparative immunochemical analysis of lipopolysaccharides (LPS) in Azospirillum brasilense model strains Sp7 and Sp245 and in mutants with transformed somatic antigens has been performed. According to the results of a complex of various immunochemical methods, including studies with polyclonal antibodies against the LPS these bacteria, their LPS consist of an assembly of macromolecules with different antigenic characteristics. Two types of O-specific polysaccharides (O-PS) are present in the LPS of every strain of A. brasilense under study. The major difference between the two O-PS is the antigenic heterogeneity of one of them. This heterogeneous O-PS has been shown to possess at least two O-factors (antigenic determinants) different in their structure. Meanwhile, according to all the tests performed, the other O-PS in every strain is immunochemically homogeneous and identical to one of the determinants revealed in the more diversified O-PS. The LPS heterogeneity among the given strains may be due to the pattern of O-specific polysaccharide synthesis, one of the O-PS being an intermediate in the synthesis of the other.     

Can anomalous signal of sulfur become a tool for solving protein crystal structures?

A general method for solving the phase problem from native crystals of macromolecules has long eluded structural biology. For well diffracting crystals this goal can now be achieved, as is shown here, thanks to modern data collection techniques and new statistical phasing algorithms. Using solely a native crystal of tetragonal hen egg-white lysozyme, a protein of 14 kDa molecular mass, it was possible to detect the positions of the ten sulfur and seven chlorine atoms from their anomalous signal, and proceed from there to obtain an electron-density map of very high quality.     

Heterogeneity in bacterial surface polysaccharides,probed on a single-molecule basis

The heterogeneity in bacterial surface macromolecules was probed by examining individual macromolecules on the surface of Pseudomonas putida KT2442 via single-molecule force spectroscopy (SMFS). Using an atomic force microscope (AFM), the silicon nitride tip was brought into contact with biopolymer molecules on bacterial cells and these macromolecules were stretched. Force-extension measurements on different bacterial cells showed a range of adhesion affinities and polymer lengths. However, substantial heterogeneity was also observed in the force-extension curves on a single bacterium. A given bacterium has biopolymers that range in size from tens to hundreds of nanometers, with adhesion affinities for the AFM tip from nearly zero to greater than 1 nN. A distribution of polymer sizes was confirmed by size-exclusion chromatography. The freely jointed chain (FJC) model for polymer elasticity was applied to individual force-extension curves in order to estimate the contour lengths and segment lengths of the polymer chains. A range of segment lengths was obtained using the FJC model, from 0.154-0.45 nm in water, 0.154-0.32 nm in 0.01 M KCl, and 0.154-0.65 nm in 0.1 M KCl. The modeling confirms that the heterogeneity in biopolymers is more than a matter of differences in molecular weights, since a range of stiffnesses (segment lengths) was also observed. The effect of salt concentration on biopolymer conformation and adhesion was also explored. While the biopolymers were flexible in all solvents, they were slightly more extended in water than in either of the salt solutions (0.01 and 0.1 M KCl). The adhesion of polysaccharides with the AFM tip was not dependent on salt concentration, because the polymers were not highly charged and heterogeneity overwhelmed any trends that could be observed in adhesion with respect to solution ionic strength. These experiments indicate that heterogeneity in biopolymer properties on an individual bacterium and within a population of bacterial cells may be much greater than previously believed and should be incorporated into models of bacterial adhesion.     

Classifying tissue samples from measurements on cells with within-class tissue sample heterogeneity

We consider here the problem of classifying a macro-level object based on measurements of embedded (micro-level) observations within each object, for example, classifying a patient based on measurements on a collection of a random number of their cells. Classification problems with this hierarchical, nested structure have not received the same statistical understanding as the general classification problem. Some heuristic approaches have been developed and a few authors have proposed formal statistical models. We focus on the problem where heterogeneity exists between the macro-level objects within a class. We propose a model-based statistical methodology that models the log-odds of the macro-level object belonging to a class using a latent-class variable model to account for this heterogeneity. The latent classes are estimated by clustering the macro-level object density estimates. We apply this method to the detection of patients with cervical neoplasia based on quantitative cytology measurements on cells in a Papanicolaou smear. Quantitative cytology is much cheaper and potentially can take less time than the current standard of care. The results show that the automated quantitative cytology using the proposed method is roughly equivalent to clinical cytopathology and shows significant improvement over a statistical model that does not account for the heterogeneity of the data.     

Modeling of ion transport. Analysis of possible mechanisms of intracellular osmoregulation]

It seems likely that the operation of the vacuolar mechanism of active transport of water (VMATW) is based on the following. An exceeding osmotic pressure is created within an originally small vacuole (e. g. due to rapid enzymatis hydrolysis of macromolecules inside the vacuole) and consequently water enters the vacuole, as well as molecules and ions according to the gradients of their chemical potentials. After a while the contents of the swelling vacuole is thrown out to the external medium. An analysis of the efficiency of VMATW system in the stationary case shows that the efficiency of VMATW can be rather high to create the ionic heterogeneity.     

Some structural,biochemical and biophysical characteristics of L-929 cells growing in the presence of hyperosmotic sorbitol concentrations

Mouse L-929 cells (a fibroblast-like line) were transferred from normal growth medium to one supplemented with 0.3 M sorbitol, doubling the normal external osmotic pressure. After a short lag phase and minimal cell death, the cells began to grow, and the growth rate reached that of controls after about one week. These chronically grown cells (S) have been compared to those of control cultures (C) with regard to general morphology, ability to reverse when returned to normal condition, water content, volume and selected metabolic parameters. S-cell cultures exhibited considerable heterogeneity but most contained vesicle-like cytoplasmic structures, sometimes in abundance. These structures do not appear to be completely bounded by membranes, but that is uncertain. S cells become larger and contain more water than C cells; however, the ratio of total water to total dry mass is indistinguishable from controls suggesting regulation at that level. S and C cells were found to be remarkably similar, on a per cell basis, with regard to their rate of respiration and the incorporation of glucose into metabolites and macromolecules. These results are interpreted in terms of current views on the composition and organization of the aqueous compartments of animal Cells.     

Single molecule conformational analysis of DNA G-quadruplexes

Single molecule fluorescence resonance energy transfer (FRET) can be employed to study conformational heterogeneity and real-time dynamics of biological macromolecules. Here we present single molecule studies on human genomic DNA G-quadruplex sequences that occur in the telomeres and in the promoter of a proto-oncogene. The findings are discussed with respect to the proposed biological function(s) of such motifs in living cells.     

Spatial structure,host heterogeneity and parasite virulence: implications for vaccine‐driven evolution

Natural host‐parasite interactions exhibit considerable variation in host quality, with profound consequences for disease ecology and evolution. For instance, treatments (such as vaccination) may select for more transmissible or virulent strains. Previous theory has addressed the ecological and evolutionary impact of host heterogeneity under the assumption that hosts and parasites disperse globally. Here, we investigate the joint effects of host heterogeneity and local dispersal on the evolution of parasite life‐history traits. We first formalise a general theoretical framework combining variation in host quality and spatial structure. We then apply this model to the specific problem of parasite evolution following vaccination. We show that, depending on the type of vaccine, spatial structure may select for higher or lower virulence compared to the predictions of non‐spatial theory. We discuss the implications of our results for disease management, and their broader fundamental relevance for other causes of host heterogeneity in nature.     

Study of immunochemical heterogeneity of <Emphasis Type="Italic">Azospirillum brasilense</Emphasis> lipopolysaccharides

A comparative immunochemical analysis of lipopolysaccharides (LPS) in Azospirillum brasilense model strains Sp7 and Sp245 and in mutants with altered somatic antigens has been performed. According to the results of a complex of various immunochemical methods, including studies with polyclonal antibodies against the LPS these bacteria, their LPS consist of an assembly of macromolecules with different antigenic characteristics. Two types of O-specific polysaccharides (O-PS) are present in the LPS of every strain of A. brasilense under study. The major difference between the two O-PS is the antigenic heterogeneity of one of them. This heterogeneous O-PS has been shown to possess at least two O-factors (antigenic determinants) different in their structure. Meanwhile, according to all the tests performed, the other O-PS in every strain is immunochemically homogeneous and identical to one of the determinants revealed in the more diversified O-PS. The LPS heterogeneity among the given strains may be due to the pattern of O-specific polysaccharide synthesis, one of the O-PS being an intermediate in the synthesis of the other.     

A combined test of linkage heterogeneity.

This paper focuses on the problem of testing for heterogeneity once linkage is established. In an investigation of genetic linkage, Morton first proposed a general purpose test to detect heterogeneity in the recombination fraction. Two more commonly used tests of linkage heterogeneity are the admixture test (A-test) of Smith, Ott, and Risch and Baron, and the B-test of Risch. All are likelihood-ratio tests, but they differ in the models specifying the heterogeneity. A new test of heterogeneity in the presence of linkage is presented here. I propose a mixture model of heterogeneity, which allows the recombination fraction to vary among families, as does the B-model, yet also allows some families to be unlinked, as the A-model does. This model contains the A and B models as special cases and thus allows a direct test (D-test), which can provide justification for choosing one of these extremes.     

From sequence to 3D structure of hyperbranched molecules: application to surface modified PAMAM dendrimers

The molecular modeling of hyperbranched molecules is currently constrained by difficulties in model building, due partly to lack of parameterization of their building blocks. We have addressed this problem with specific relevance to a class of hyperbranched macromolecules known as dendrimers by describing a new concept and developing a method that translates monomeric linear sequences into a full atomistic model of a hyperbranched molecule. Such molecular-modeling-based advances will enable modeling studies of important biological interactions between naturally occurring macromolecules and synthetic macromolecules. Our results also suggest that it should be possible to apply this sequence-based methodology to generate hyperbranched structures of other dendrimeric structures and of linear polymers.     

Structural studies of chromatin remodeling factors

Changes of chromatin structure require participation of chromatin remodeling factors (CRFs), which are ATP-dependent multisubunit complexes that change the structure of the nucleosome without covalently modifying its components. CRFs act together with other protein factors to regulate the extent of chromatin condensation. Four CRF families are currently distinguished based on their structural and biochemical characteristics: SWI/SNF, ISWI, Mi-2/CHD, and SWR/INO80. X-ray diffraction analysis and electron microscopy are the main methods to obtain structural information about macromolecules. CRFs are difficult to obtain in crystal because of their large sizes and structural heterogeneity, and transmission electron microscopy (TEM) is mostly employed in their structural studies. The review considers all structures obtained for CRFs by TEM and discusses several models of CRF–nucleosome interactions.     

Some Fundamental Molecular Mechanisms of Contractility in Fibrous Macromolecules

The fundamental molecular mechanisms of contractility and tension development in fibrous macromolecules are developed from the point of view of the principles of polymer physical chemistry. The problem is treated in a general manner to encompass the behavior of all macromolecular systems irrespective of their detailed chemical structure and particular function, if any. Primary attention is given to the contractile process which accompanies the crystal-liquid transition in axially oriented macromolecular systems. The theoretical nature of the process is discussed, and many experimental examples are given from the literature which demonstrate the expected behavior. Experimental attention is focused on the contraction of fibrous proteins, and the same underlying molecular mechanism is shown to be operative for a variety of different systems.     

Determination of sedimentation coefficients for small peptides.

Direct fitting of sedimentation velocity data with numerical solutions of the Lamm equations has been exploited to obtain sedimentation coefficients for single solutes under conditions where solvent and solution plateaus are either not available or are transient. The calculated evolution was initialized with the first experimental scan and nonlinear regression was employed to obtain best-fit values for the sedimentation and diffusion coefficients. General properties of the Lamm equations as data analysis tools were examined. This method was applied to study a set of small peptides containing amphipathic heptad repeats with the general structure Ac-YS-(AKEAAKE)nGAR-NH2, n = 2, 3, or 4. Sedimentation velocity analysis indicated single sedimenting species with sedimentation coefficients (s(20,w) values) of 0.37, 0.45, and 0.52 S, respectively, in good agreement with sedimentation coefficients predicted by hydrodynamic theory. The described approach can be applied to synthetic boundary and conventional loading experiments, and can be extended to analyze sedimentation data for both large and small macromolecules in order to define shape, heterogeneity, and state of association.