Shape anisotropy of a single random-walk polymer

Random walks have been used to describe a wide variety of systems ranging from cell colonies to polymers. Sixty-five years ago, Kuhn [Kuhn, W. (1934) Kolloid-Z. 68, 2–11] made the prediction, backed later by computer simulations, that the overall shape of a random-walk polymer is aspherical, yet no experimental work has directly tested Kuhn's general idea and subsequent computer simulations. By using fluorescence microscopy, we monitored the conformation of individual, long, random-walk polymers (fluorescently labeled DNA molecules) at equilibrium. We found that a polymer most frequently adopts highly extended, nonfractal structures with a strongly anisotropic shape. The ensemble-average ratio of the lengths of the long and short axes of the best-fit ellipse of the polymer was much larger than unity.

Random allocation or allocation at random? Patients’ perspectives of participation in a randomised controlled trial

Objectives To explore trial participants’ understandings of randomisation.

Identification of two short internal ribosome entry sites selected from libraries of random oligonucleotides

Sequences that control translation of mRNA may play critical roles in regulating protein levels. One such element is the internal ribosome entry site (IRES). We previously showed that a 9-nt segment in the 5′ leader sequence of the mRNA encoding Gtx homeodomain protein could function as an IRES. To identify other short sequences with similar properties, we designed a selection procedure that uses a retroviral vector to express dicistronic mRNAs encoding enhanced green and cyan fluorescent proteins as the first and second cistrons, respectively. Expression of the second cistron was dependent upon the intercistronic sequences and was indicative of IRES activity. B104 cells were infected with two retroviral libraries that contained random sequences of 9 or 18 nt in the intercistronic region. Cells expressing both cistrons were sorted, and sequences recovered from selected cells were reassayed for IRES activity in a dual luciferase dicistronic mRNA. Two novel IRESes were identified by this procedure, and both contained segments with complementarity to 18S rRNA. When multiple copies of either segment were linked together, IRES activities were dramatically enhanced. Moreover, these synthetic IRESes were differentially active in various cell types. These properties are similar to those of the previously identified 9-nt IRES module from Gtx mRNA. These results provide further evidence that short nucleotide sequences can function as IRESes and support the idea that some cellular IRESes may be composed of shorter functional modules. The ability to identify IRES modules with specific expression properties may be useful in the design of vectors for biotechnology and gene therapy.

An essential amino acid residue in the protein translocation channel revealed by targeted random mutagenesis of SecY

The SecY/Sec61α family of membrane proteins are the central subunits of the putative protein translocation channel. We introduced random mutations into a segment of Escherichia coli SecY within its cytoplasmic domain 5, which was shown previously to be important for the SecA-dependent translocation activity. Mutations were classified into those retaining function and those gaining a dominant-interfering ability caused by a loss of function. These analyses showed that Arg-357, Pro-358, Gly-359, and Thr-362 are functionally important; Arg-357, conserved in almost all organisms, was identified as an indispensable residue.

Advances in random matrix theory, zeta functions, and sphere packing

Over four hundred years ago, Sir Walter Raleigh asked his mathematical assistant to find formulas for the number of cannonballs in regularly stacked piles. These investigations aroused the curiosity of the astronomer Johannes Kepler and led to a problem that has gone centuries without a solution: why is the familiar cannonball stack the most efficient arrangement possible? Here we discuss the solution that Hales found in 1998. Almost every part of the 282-page proof relies on long computer verifications. Random matrix theory was developed by physicists to describe the spectra of complex nuclei. In particular, the statistical fluctuations of the eigenvalues (“the energy levels”) follow certain universal laws based on symmetry types. We describe these and then discuss the remarkable appearance of these laws for zeros of the Riemann zeta function (which is the generating function for prime numbers and is the last special function from the last century that is not understood today.) Explaining this phenomenon is a central problem. These topics are distinct, so we present them separately with their own introductory remarks.

Random circular permutation of genes and expressed polypeptide chains: application of the method to the catalytic chains of aspartate transcarbamoylase.

Recent studies on proteins whose N and C termini are in close proximity have demonstrated that folding of polypeptide chains and assembly of oligomers can be accomplished with circularly permuted chains. As yet no methodical study has been conducted to determine how extensively new termini can be introduced and where such termini cannot be tolerated. We have devised a procedure to generate random circular permutations of the catalytic chains of Escherichia coli aspartate transcarbamoylase (ATCase; EC 2.1.3.2) and to select clones that produce active or stable holoenzyme containing permuted chains. A tandem gene construct was made, based on the desired linkage between amino acid residues in the C- and N-terminal regions of the polypeptide chain, and this DNA was treated with a suitable restriction enzyme to yield a fragment containing the rearranged coding sequence for the chain. Circularization achieved with DNA ligase, followed by linearization at random with DNase I, and incorporation of the linearized, repaired, blunt-ended, rearranged genes into a suitable plasmid permitted the expression of randomly permuted polypeptide chains. The plasmid with appropriate stop codons also contained pyrI, the gene encoding the regulatory chain of ATCase. Colonies expressing detectable amounts of ATCase-like molecules containing permuted catalytic chains were identified by an immunoblot technique or by their ability to grow in the absence of pyrimidines in the growth medium. Sequencing of positive clones revealed a variety of novel circular permutations. Some had N and C termini within helices of the wild-type enzyme as well as deletions and insertions. Permutations were concentrated in the C-terminal domain and only few were detected in the N-terminal domain. The technique, which is adaptable generally to proteins whose N and C termini are near each other, can be of value in relating in vivo folding of nascent, growing polypeptide chains to in vitro renaturation of complete chains and determining the role of protein sequence in folding kinetics.

Random phage mimotopes recognized by monoclonal antibodies against the pyruvate dehydrogenase complex-E2 (PDC-E2).

Dihydrolipoamide acetyltransferase, the E2 component of the pyruvate dehydrogenase complex (PDC-E2), is the autoantigen most commonly recognized by autoantibodies in primary biliary cirrhosis (PBC). We identified a peptide mimotope(s) of PDC-E2 by screening a phage-epitope library expressing random dodecapeptides in the pIII coat protein of fd phage using C355.1, a murine monoclonal antibody (mAb) that recognizes a conformation-dependent epitope in the inner lipoyl domain of PDC-E2 and uniquely stains the apical region of bile duct epithelium (BDE) only in patients with PBC. Eight different sequences were identified in 36 phage clones. WMSYPDRTLRTS was present in 29 clones; WESYPFRVGTSL, APKTYVSVSGMV, LTYVSLQGRQGH, LDYVPLKHRHRH, AALWGVKVRHVS, KVLNRIMAGVRH and GNVALVSSRVNA were singly represented. Three common amino acid motifs (W-SYP, TYVS, and VRH) were shared among all peptide sequences. Competitive inhibition of the immunohistochemical staining of PBC BDE was performed by incubating the peptides WMSYPDRTLRTS, WESYPDRTLRTS, APKTYVSVSGMV, and AALWGVKVRHVS with either C355.1 or a second PDC-E2-specific mAb, C150.1. Both mAbs were originally generated to PDC-E2 but map to distinct regions of PDC-E2. Two of the peptides, although selected by reaction with C355.1, strongly inhibited the staining of BDE by C150.1, whereas the peptide APKTYVSVSGMV consistently inhibited the staining of C355.1 on biliary duct epithelium more strongly than the typical mitochondrial staining of hepatocytes. Rabbit sera raised against the peptide WMSYPDRTLRTS stained BDE of livers and isolated bile duct epithelial cells of PBC patients more intensively than controls. The rabbit sera stained all size ducts in normals, but only small/medium-sized ductules in PBC livers. These studies provide evidence that the antigen present in BDE is a molecular mimic of PDC-E2, and not PDC-E2 itself.

Random mutagenesis of Thermus aquaticus DNA polymerase I: concordance of immutable sites in vivo with the crystal structure.

Expression of Thermus aquaticus (Taq) DNA polymerase I (pol I) in Escherichia, coli complements the growth defect caused by a temperature-sensitive mutation in the host pol I. We replaced the nucleotide sequence encoding amino acids 659-671 of the O-helix of Taq DNA pol I, corresponding to the substrate binding site, with an oligonucleotide containing random nucleotides. Functional Taq pol I mutants were selected based on colony formation at the nonpermissive temperature. By using a library with 9% random substitutions at each of 39 positions, we identified 61 active Taq pol I mutants, each of which contained from one to four amino acid substitutions. Some amino acids, such as alanine-661 and threonine-664, were tolerant of several or even many diverse replacements. In contrast, no replacements or only conservative replacements were identified at arginine-659, lysine-663, and tyrosine-671. By using a library with totally random nucleotides at five different codons (arginine-659, arginine-660, lysine-663, phenylalanine-667, and glycine-668), we confirmed that arginine-659 and lysine-663 were immutable, and observed that only tyrosine substituted for phenylalanine-667. The two immutable residues and the two residues that tolerate only highly conservative replacements lie on the side of O-helix facing the incoming deoxynucleoside triphosphate, as determined by x-ray analysis. Thus, we offer a new approach to assess concordance of the active conformation of an enzyme, as interpreted from the crystal structure, with the active conformation inferred from in vivo function.

The sigma subunit of Escherichia coli RNA polymerase senses promoter spacing.

The promoters recognized by sigma 70, the primary sigma of Escherichia coli, consist of two highly conserved hexamers located at -10 and -35 bp from the start point of transcription, separated by a preferred spacing of 17 bp. sigma factors have two distinct DNA binding domains that recognize the two hexamer sequences. However, the component of RNA polymerase recognizing the length of the spacing between hexamers has not been determined. Using an equilibrium DNA binding competition assay, we demonstrate that a polypeptide of sigma 70 carrying both DNA binding domains is very sensitive to promoter spacing, whereas a sigma 70 polypeptide with only one DNA binding domain is not. Furthermore, a mutant sigma, selected for increasing transcription of the minimal lac promoter (18-bp spacer), has an altered response to promoter spacing in vivo and in vitro. Our data support the idea that sigma makes simultaneous, productive contacts at both the -10 and the -35 regions of the promoter and discerns the spacing between these conserved regions.

Novel human DNA alkyltransferases obtained by random substitution and genetic selection in bacteria.

DNA repair alkyltransferases protect organisms against the cytotoxic, mutagenic, and carcinogenic effects of alkylating agents by transferring alkyl adducts from DNA to an active cysteine on the protein, thereby restoring the native DNA structure. We used random sequence substitutions to gain structure-function information about the human O6-methylguanine-DNA methyltransferase (EC 2.1.1.63), as well as to create active mutants. Twelve codons surrounding but not including the active cysteine were replaced by a random nucleotide sequence, and the resulting random library was selected for the ability to provide alkyltransferase-deficient Escherichia coli with resistance to the methylating agent N-methyl-N'-nitro-N-nitrosoguanidine. Few amino acid changes were tolerated in this evolutionarily conserved region of the protein. One mutation, a valine to phenylalanine change at codon 139 (V139F), was found in 70% of the selected mutants; in fact, this mutant was selected much more frequently than the wild type. V139F provided alkyltransferase-deficient bacteria with greater protection than the wild-type protein against both the cytotoxic and mutagenic effects of N-methyl-N'-nitro-N-nitrosoguanidine, increasing the D37 over 4-fold and reducing the mutagenesis rate 2.7-5.5-fold. This mutant human alkyltransferase, or others similarly created and selected, could be used to protect bone marrow cells from the cytotoxic side effects of alkylation-based chemotherapeutic regimens.

Active barnase variants with completely random hydrophobic cores.

The central structural feature of natural proteins is a tightly packed and highly ordered hydrophobic core. If some measure of exquisite, native-like core packing is necessary for enzymatic function, this would constitute a significant obstacle to the development of novel enzymes, either by design or by natural or experimental evolution. To test the minimum requirements for a core to provide sufficient structural integrity for enzymatic activity, we have produced mutants of the ribonuclease barnase in which 12 of the 13 core residues have together been randomly replaced by hydrophobic alternatives. Using a sensitive biological screen, we find that a strikingly high proportion of these mutants (23%) retain enzymatic activity in vivo. Further substitution at the 13th core position shows that a similar proportion of completely random hydrophobic cores supports enzyme function. Of the active mutants produced, several have no wild-type core residues. These results imply that hydrophobicity is nearly a sufficient criterion for the construction of a functional core and, in conjunction with previous studies, that refinement of a crudely functional core entails more stringent sequence constraints than does the initial attainment of crude core function. Since attainment of crude function is the critical initial step in evolutionary innovation, the relatively scant requirements contributed by the hydrophobic core would greatly reduce the initial hurdle on the evolutionary pathway to novel enzymes. Similarly, experimental development of novel functional proteins might be simplified by limiting core design to mere specification of hydrophobicity and using iterative mutation-selection to optimize core structure.

A synthetic random basic copolymer with promiscuous binding to class II major histocompatibility complex molecules inhibits T-cell proliferative responses to major and minor histocompatibility antigens in vitro and confers the capacity to prevent murine graft-versus-host disease in vivo.

Graft-versus-host disease (GVHD) is a T-cell-mediated disease of transplanted donor T cells recognizing host alloantigens. Data presented in this report show, to our knowledge, for the first time that a synthetic copolymer of the amino acids L-Glu, L-Lys, L-Ala, and L-Tyr (molecular ratio, 1.9:6.0:4.7:1.0; Mr, 6000-8500) [corrected], termed GLAT, with promiscuous binding to multiple major histocompatibility complex class II alleles is capable of preventing lethal GVHD in the B10.D2 --> BALB/c model (both H-2d) across minor histocompatibility barriers. Administration of GLAT over a limited time after transplant significantly reduced the incidence, onset, and severity of disease. GLAT also improved long-term survival from lethal GVHD: 14/25 (56%) of experimental mice survived > 140 days after transplant compared to 2/26 of saline-treated or to 1/10 of hen egg lysozyme-treated control mice (P < 0.01). Long-term survivors were documented to be fully chimeric by PCR analysis of a polymorphic microsatellite region in the interleukin 1beta gene. In vitro, GLAT inhibited the mixed lymphocyte culture in a dose-dependent fashion across a variety of major barriers tested. Furthermore, GLAT inhibited the response of nylon wool-enriched T cells to syngeneic antigen-presenting cells presenting minor histocompatibility antigens. Prepulsing of the antigen-presenting cells with GLAT reduced the proliferative response, suggesting that GLAT inhibits antigen presentation.

Isolation of virus-neutralizing RNAs from a large pool of random sequences.

RNA and ribonuclease-resistant RNA analogs that bound and neutralized Rous sarcoma virus (RSV) were isolated from a large pool of random sequences by multiple cycles of in vitro selection using infectious viral particles. The selected RNA pool of RSV-binding sequences at a concentration of 0.16 microM completely neutralized the virus. Of 19 sequences cloned from the selected pool, 5 inhibited RSV infection. The selected RNA and RNA analogs were shown to neutralize RSV by interacting with the virus, rather than by adversely affecting the host cells. The selection of the anti-RSV RNA and RNA analogs by intact virions immediately suggests the potential application of this approach to develop RNA and RNA analogs as inhibitors of other viruses such as human immunodeficiency virus.