Single-Occupancy Binding in Simple Bounded and Unbounded Systems

The number of substrate molecules that can bind to the active site of an enzyme at one time is constrained. This paper develops boundary conditions that correspond to the constraint of single-occupancy binding. Two simple models of substrate molecules diffusing to a single-occupancy site are considered. In the interval model, a fixed number of substrate molecules diffuse in a bounded domain. In the spherical model, a varying number of molecules diffuse in a domain with boundary conditions that model contact with a reservoir containing a large number of substrate molecules. When the diffusive time scale is much shorter than the time scale for entering the single-occupancy site, the dynamics of binding are accurately described by simple approximations.     

Variable copy number of macronuclear DNA molecules in Tetrahymena.

In Tetrahymena, the DNA of the macronucleus exists as very large (100 to 4,000-kb) linear molecules that are randomly partitioned to the daughter cells during cell division. This genetic system leads directly to an assortment of alleles such that all loci become homozygous during vegetative growth. Apparently, there is a copy number control mechanism operative that adjusts the number of each macronuclear DNA molecule so that macronuclear DNA molecules (with their loci) are not lost and aneuploid death is a rare event. In comparing Southern analyses of the DNA from various species of Tetrahymena using histone H4 genes as a probe, we find different band intensities in many species. These differences in band intensities primarily reflect differences in the copy number of macronuclear DNA molecules. The variation in copy number of macronuclear DNA molecules in some species is greater than an order of magnitude. These observations are consistent with a developmental control mechanism that operates by increasing the macronuclear copy number of specific DNA molecules (and the genes located on these molecules) to provide the relatively high gene copy number required for highly expressed proteins.     

The transition from specific to nonspecific desensitization in human basophils

Human basophils can be desensitized to IgE-mediated stimuli either specifically (to the desensitizing antigen only) or nonspecifically (to all antigens). It has been suggested that the specificity of desensitization depends on the number of membrane-bound, antigen-specific IgE antibody molecules per basophil. We have varied the number of IgE antibody molecules/basophil by passive sensitization of mixed leukocyte preparations with increasing concentrations of purified IgE anti-penicillin (BPO) antibody. The cells were then desensitized with penicillin-human serum albumin (BPO-HSA). Desensitization was specific (lack of response to BPO-HSA only) with 1000 specific antibody molecules/basophil, and increasingly nonspecific (greater than 70% desensitization to rechallenge with anti-IgE and ragweed antigen E as well as lack of response to BPO-HSA) as the number of antibody molecules was increased to 14,000. This formally established that the number of specific IgE antibody molecules/basophil determines the mode of desensitization.     

Variable copy number of macronuclear DNA molecules in Tetrahymena

In Tetrahymena, the DNA of the macronucleus exists as very large (100 to 4,000-kb) linear molecules that are randomly partitioned to the daughter cells during cell division. This genetic system leads directly to an assortment of alleles such that all loci become homozygous during vegetative growth. Apparently, there is a copy number control mechanism operative that adjusts the number of each macronuclear DNA molecule so that macronuclear DNA molecules (with their loci) are not lost and aneuploid death is a rare event. In comparing Southern analyses of the DNA from various species of Tetrahymena using histone H4 genes as a probe, we find different band intensities in many species. These differences in band intensities primarily reflect differences in the copy number of macronuclear DNA molecules. The variation in copy number of macronuclear DNA molecules in some species is greater than an order of magnitude. These observations are consistent with a developmental control mechanism that operates by increasing the macronuclear copy number of specific DNA molecules (and the genes located on these molecules) to provide the relatively high gene copy number required for highly expressed proteins. © 1992 Wiley-Liss, Inc.     

Generation of initial molecular dynamics configurations in arbitrary geometries and in parallel

A computational pre-processing tool for generating initial configurations of molecules for molecular dynamics simulations in geometries described by a mesh of unstructured arbitrary polyhedra is described. The mesh is divided into separate zones and each can be filled with a single crystal lattice of atoms. Each zone is filled by creating an expanding cube of crystal unit cells, initiated from an anchor point for the lattice. Each unit cell places the appropriate atoms for the user-specified crystal structure and orientation. The cube expands until the entire zone is filled with the lattice; zones with concave and disconnected volumes may be filled. When the mesh is spatially decomposed into portions for distributed parallel processing, each portion may be filled independently, meaning that the entire molecular system never needs to fit onto a single processor, allowing very large systems to be created. The computational time required to fill a zone with molecules scales linearly with the number of cells in the zone for a fixed number of molecules, and better than linearly with the number of molecules for a fixed number of mesh cells. Our tool, molConfig, has been implemented in the open source C++ code OpenFOAM.     

Naturally occurring cross-links in yeast chromosomal DNA.

Chromosome-size yeast DNA molecules with a number average molecular weight (Mn) of 3-4 X 10(8) were isolated from sucrose gradients after sedimentation of lysed yeast spheroplasts. Resedimentation showed that the molecules were isolated without introducing appreciable single-strand or double-strand breaks. The presence of cross-links in these molecules was suggested by the observation that the apparent Mn in alkali was greater than expected for separated single strands. Since cross-linked molecules would have strands which fail to separate upon denaturation, this was tested more directly. Neutralization of alkaline denaturing conditions resulted in up to 70% of the intact molecules rapidly reforming duplex structures, as shown by equilibrium banding in CsCI. Experiments with larger E. coli DNA molecules (Mn = 5.2 X 10(8)) indicated that the conditions used were sufficient to denature completely molecules of this size. Results of enzyme treatments suggest that the cross-links are not RNA or protein. Experiments with density-labeled yeast DNA molecules showed that the rapid reformation of duplex DNA is not the consequence either of a bimolecular reaction between separated DNA strands or of intrastrand renaturation. The data indicate that when the yeast DNA molecules are completely denatured, the strands fail to separate. Hence they must be cross-linked. Experiments with sheared DNA show that there are small number of cross-links, one to four, permolecule.     

Initial steps in Haemophilus influenzae transformation. Donor DNA binding in the com10 mutant

The com10 mutant of Haemophilus influenzae binds donor DNA reversibly, but is deficient in uptake. The DNA binding has all the characteristics of interaction with a protein receptor; it is saturable, reversible, and specific. However, binding specificity is 6-fold weaker in com10 than is uptake specificity in wild-type. The binding of small (120 base pairs) and large (14,400 base pairs) DNA molecules were compared. For small molecules, binding data fitted a straight line by Scatchard analysis (Bmax = 4.8 DNA molecules/cell, Kd = 0.5 X 10(-9) M). In contrast, for large DNA molecules, the Scatchard plot was not linear. A high affinity binding (Kd = 0.4 X 10(-12) M) and a lower affinity binding (Kd = 1.2 X 10(-11) M) were found with a total number of 3 molecules bound per cell. In wild-type cells, 3.2 large molecules were taken up per cell, whereas up to 40 small 120-base pair DNA fragments were taken up per cell. Uptake of small DNA molecules followed a Michaelis-Menten function with a Km of 0.5 X 10(-9) M and a maximal initial velocity of 1.5 molecules/cell/min at room temperature. For large DNA molecules, maximal initial velocity was approximately 2 molecules/cell/min at room temperature. The analysis of the binding and uptake data suggest to us that a receptor or a receptor complex is responsible for the uptake of either a single large DNA molecule or, successively, a number of small DNA molecules.     

Quantification of unintegrated HIV-1 DNA at the single cell level in vivo

In the nucleus of HIV-1 infected cells, unintegrated HIV-1 DNA molecules exist in the form of one and two LTR circles and linear molecules with degraded extremities. In tissue culture they are invariably more numerous than the provirus, the relative proportion of integrated to unintegrated forms varies widely from ～1:1 to 1:10 and even over 1:100. In vivo, this ratio is unknown. To determine it, single nuclei from two infected patients with a known provirus copy number were microdissected, HIV DNA was amplified by nested PCR, cloned and individual clones sequenced. Given the extraordinary sequence complexity, we made the assumption that the total number of distinct sequences approximated to real number of amplifiable HIV-1 DNA templates in the nucleus. We found that the number of unintegrated DNA molecules increased linearly with the proviral copy number there being on average 86 unintegrated molecules per provirus.     

Monitoring of in vitro and in vivo translation of green fluorescent protein and its fusion proteins by fluorescence correlation spectroscopy

BACKGROUND: Because the process of protein translation is an event of sparse molecules, the measurement requires high sensitivity. One of the candidates for studying the molecules is fluorescence correlation spectroscopy (FCS), which gleans quantitative information from fluctuating fluorescence signals in a diluted solution. METHODS: Using FCS, the translation products of expression plasmid for green fluorescent protein (GFP) and its fusion proteins were measured in vitro and in vivo. RESULTS: In in vitro translation, the number of products increased linearly for 90 min upon concentration of the plasmid. The autocorrelation function for GFP was fitted with a one-component model with a diffusion time of 0.18 ms, which was identical to the value expected from the molecular weight. In the cases of GFP- tagged hypoxia-inducible factor-1 alpha and glucocorticoid receptor, each fitting result was significantly improved with a two-component model. The slow component with a diffusion time of 6 ms appeared to be related to the ribosome or polysome. In response to the addition of dexamethasone, the nuclear translocation from cytosol clearly induced the decrease in number of molecules in the focal point. CONCLUSIONS: FCS permits monitoring of the number of molecules translated in vitro and in vivo, the translation rate, and the molecular weight.     

The creation of a database of odorous compounds focused on molecular rigidity and analysis of the molecular features of the compounds in the database

It is important to select odorous molecules for experiments on olfaction and for the development of an electronic nose. Odorous molecules having a small number of conformers, namely structurally rigid molecules, are assumed to interact with a small number of types of olfactory receptor proteins or to interact with the proteins in a simpler manner than that of fairly flexible molecules. Focusing on the rigidity of molecular structures, we collected 287 odorous molecules from data sources, which included 1205 chemicals in total and a database of the 287 odorous molecules (DB_odMOL) was created using CS ChemFinder Pro (version 5.0). The logarithmic value of the octanol/water partition coefficient (log P) and melting point, boiling point and vapour pressure of the molecules were estimated using CS Chem3D Pro. The database DB_odMOL accumulates these estimated data in addition to literature values for odour quality, odour detection thresholds and the safety of molecules. The rigidity of the 287 molecules was further analysed by conformational analysis performed by molecular mechanics using Conformer in CS Chem3D Pro (version 5) and 72 rigid odorous molecules were selected. The 287 molecules were also analysed based on atomic composition, substructure and molecular size. Sixty-two odorous molecules among the 72 rigid odorous molecules were further selected based on their atomic composition. The 62 rigid molecules with simple atomic composition that were finally selected should be useful for researchers in choosing odorous molecules for the study of olfaction, including the fields of molecular biology, physiology, structure-odour relationships and other fields of the study concerning odour.     

Comprehensive Analysis of the Naturally Processed Peptide Repertoire: Differences between HLA-A and B in the Immunopeptidome

The cytotoxic T cell (CTL) response is determined by the peptide repertoire presented by the HLA class I molecules of an individual. We performed an in-depth analysis of the peptide repertoire presented by a broad panel of common HLA class I molecules on four B lymphoblastoid cell-lines (BLCL). Peptide elution and mass spectrometry analysis were utilised to investigate the number and abundance of self-peptides. Altogether, 7897 unique self-peptides, derived of 4344 proteins, were eluted. After viral infection, the number of unique self-peptides eluted significantly decreased compared to uninfected cells, paralleled by a decrease in the number of source proteins. In the overall dataset, the total number of unique self-peptides eluted from HLA-B molecules was larger than from HLA-A molecules, and they were derived from a larger number of source proteins. These results in B cells suggest that HLA-B molecules possibly present a more diverse repertoire compared to their HLA-A counterparts, which may contribute to their immunodominance. This study provides a unique data set giving new insights into the complex system of antigen presentation for a broad panel of HLA molecules, many of which were never studied this extensively before.     

Effects of photoproducts on the binding properties of protoporphyrin IX to proteins

Photosensitisers are the photoactive molecules used in photodynamic therapy (PDT) of cancer. Despite the importance of their interaction with polypeptides, only the binding to plasma proteins has been investigated in some detail. In our study we compared the binding of Protoporphyrin IX (a clinically useful photosensitiser) to an immunoglobulin G, with the binding to albumins. Binding to IgG is relevant because a possible method of increasing tumour specificity of photosensitisers is to bind them to tumour-specific antibodies. Binding constants to albumins and the immunoglobulin were comparable ( congruent with6 x 10(-6) M(-1)). The apparent number of PPIX molecules bound to each protein was also within a similar range (from 4 to 7). The absence of a shift in the emission spectrum of PPIX bound to IgG, however, indicates that either larger aggregates of PPIX bind to the immunoglobulin or that the binding site leaves PPIX exposed to the buffer. We observed that PPIX photoproducts compete with PPIX for the same binding sites. The number of PPIX molecules bound to each protein in the presence of photoproducts decreased by 50-80%. Due to the spectral overlap between PPIX and its photoproducts, the binding in the presence of photoproducts was investigated using Derivative Synchronous Fluorescence Spectroscopy (DSFS) to improve the spectral separation between chromophores in solution. We also concluded that fluorescence measurements underestimate the number of PPIX molecules binding each protein. In fact, non-linear Scatchard plots (in the case of albumin binding) by definition yield a minimum number of molecules attached to a protein. Moreover, the binding of large aggregates, formed by an unknown number of PPIX molecules, to IgG results in the underestimate of the number of molecules bound. The number of PPIX molecules bound to these proteins is also much larger than the number of sites estimated by protein fluorescence quenching.     

Kinetic Origin of Heredity in a Replicating System with a Catalytic Network

The origin of heredity is studied as a recursive state in a replicatingprotocell consisting of many molecule species in mutually catalyzingreaction networks. Protocells divide when the number of molecules, increasing due to replication, exceeds a certain threshold. We study how the chemicals in a catalytic network can form recursive production states in the presence of errors in the replication process. Depending on the balance between the total number of molecules in a cell and the number of molecule species, we have found three phases; a phase without a recursive production state, a phase with itinerancy over a few recursive states, and a phase with fixedrecursive production states. Heredity is realized in the latter two phaseswhere molecule species that are population-wise in the minority are preserved and control the phenotype of the cell. It is shown that evolvability is realized in the itinerancy phase, where a change in the number of minority molecules controls a change of the chemical state.     

Complement fixation by model immune complexes free in solution and bound onto cell surfaces.

Immunoglobin (IgG) molecules with anti-2,4-dinitrophenyl activity were covalently cross-linked by using three cross-linking reagents. The resulting oligomers were separated into monomer, dimer, trimer, and heavy fractions. These stable assemblages of IgG molecules were capable of fixing dilute whole guinea pig complement in solution. When oligomers were further aggregated noncovalently into larger complexes, all were able to fix complement. Radioiodinated oligomers were attached to 2,4,6,-trinitrophenylsulfonic acid treated sheep red blood cells (N3ph-SRBC), and the number of bound molecules was determined from the cell-associated radioactivity. Complement-mediated lysis of N3ph-SRBC was then assayed over a range of levels of bound protein and at increasing concentrations of complement. The lytic efficiencies of all oligomers increased with the number of bound molecules, with complement concentration, with hapten density on N3ph-SRBC, and with oligomer size. The results suggest that two adjacent IgG molecules may not serve as a unit signal for triggering the complement cascade, but instead, initiation occurs with increasing efficiency as the size of cell-bound IgG clusters increases.     

BCL2 and BAX mRNA concentration profile in fibrillary astrocytoma

A high level of the BCL2 protein and the lack of apoptosis promoting protein BAX are beginning to be treated as markers of cellular resistance to anti-neoplastic drugs. The object of the study were specimens from stereotactic biopsy of Astrocytoma fibrillare in the central brain area, inaccessible to conventional surgery. The cytological preparations have been evaluated with histopathological and immunohistochemical methods in order to determine the origin of the tumour and assess cell proliferation activity. The molecular analysis conducted in order to determine the sensitivity of the tumour to radio- or chemotherapy included the determination of the number of mRNA BCL2 alpha and beta molecules and of BAX in 1 microg total RNA obtained from microscope slides. A higher expression of BAX than of BCL2-alpha is a prognosis for a positive result of chemo- or radiotherapy. A trace number of mRNA BCL2-beta molecules and a smaller number of mRNA BCL2-alpha molecules than mRNA BAX is a good prognosis for therapy.     

Dynamics of internal water in fatty acid binding protein: computer simulations and comparison with experiments

Multiple molecular dynamics (MD) simulations of fully solvated rat intestinal fatty acid binding protein (I-FABP) were conducted to investigate the dynamics of internal water molecules. Although the long time average of the number of internal water molecules in I-FABP is 22 as shown by the X-ray crystal structure, MD simulations predict large variations in the instantaneous number of internal water molecules on the nanosecond time scale. The computational model employed predicts that w135 (internal) and w217 (located on the protein surface) may be the water molecules with long residence times observed in previously reported magnetic relaxation dispersion studies. The average residence time of approximately 20 internal water molecules occupying the fatty acid binding cavity is estimated to be between 0.6 and 2.0 nanoseconds. Exchange of internal water in I-FABP appears to occur almost exclusively through the interface of beta-strands EF with the rest of the protein, which has significant implications for the pathways of the fatty acid entry and exit from the binding cavity. Proteins 2001;43:65-72.     

Rearrangements in unintegrated retroviral DNA are complex and are the result of multiple genetic determinants.

We used a replication-competent retrovirus shuttle vector based on a DNA clone of the Schmidt-Ruppin A strain of Rous sarcoma virus to characterize rearrangements in circular viral DNA. In this system, circular molecules of viral DNA present after acute infection of cultured cells were cloned as plasmids directly into bacteria. The use of a replication-competent shuttle vector permitted convenient isolation of a large number of viral DNA clones; in this study, over 1,000 clones were analyzed. The circular DNA molecules could be placed into a limited number of categories. Approximately one-third of the rescued molecules had deletions in which one boundary was very near the edge of a long terminal repeat (LTR) unit. Subtle differences in the patterns of deletions in circular DNAs with one versus two copies of the LTR sequence were observed, and differences between deletions emanating from the right and left boundaries of the LTR were seen. A virus with a missense mutation in the region of the pol gene responsible for integration and exhibiting a temperature sensitivity phenotype for replication had a marked decrease in the number of rescued molecules with LTR-associated deletions when infection was performed at the nonpermissive temperature. This result suggests that determinants in the pol gene, possibly in the integration protein, play a role in the generation of LTR-associated deletions. Sequences in a second region of the genome, probably within the viral gag gene, were also found to affect the types of circular viral DNA molecules present after infection. Sequences in this region from different strains of avian sarcoma-leukosis viruses influenced the fraction of circular molecules with LTR-associated deletions, as well as the relative proportion of circular molecules with either one or two copies of the LTR. Thus, the profile of rearrangements in unintegrated viral DNA is complex and dependent upon the nature of sequences in the gag and pol regions.     

Substitution of arginine for glycine at position 847 in the triple-helical domain of the alpha 1 (I) chain of type I collagen produces lethal osteogenesis imperfecta. Molecules that contain one or two abnormal chains differ in stability and secretion

Dermal fibroblasts from a fetus with perinatal lethal OI synthesized normal and abnormal type I procollagen molecules. The abnormal molecules contained one or two pro alpha 1 (I) chains in which glycine at position 847 in the triple helical region was substituted by arginine as the result of a de novo G-to-A transition in the first base of the glycine codon. The substitution resulted in increased posttranslational modification amino-terminal of the mutation site of all chains in molecules that contained one or more abnormal chains. Secretion of the overmodified molecules was impaired, and intracellular retention of molecules which contained two abnormal chains was greater than that of molecules which contained one abnormal chain. The thermal stability of molecules that contained two abnormal chains was markedly lower than that of molecules containing one abnormal chain. After cleavage of molecules with vertebrate collagenase, the thermal stability of the overmodified A fragments was greater than that of the normal molecules. Our findings indicate that the cell distinguishes three classes of molecules and suggest that these molecules differ depending on the number of abnormal chains in the trimer.     

Dendrimer-based fluorescent indicators: in vitro and in vivo applications

BackgroundThe development of fluorescent proteins and synthetic molecules whose fluorescence properties are controlled by the environment makes it possible to monitor physiological and pathological events in living systems with minimal perturbation. A large number of small organic dyes are available and routinely used to measure biologically relevant parameters. Unfortunately their application is hindered by a number of limitations stemming from the use of these small molecules in the biological environment.ConclusionWe believe that the proposed architecture can represent a useful and novel tool in fluorescence imaging that can be widely applied in conjunction with a broad range of sensing dyes and experimental setups.