A stochastic approximation algorithm with Markov chain Monte-Carlo method for incomplete data estimation problems

We propose a general procedure for solving incomplete data estimation problems. The procedure can be used to find the maximum likelihood estimate or to solve estimating equations in difficult cases such as estimation with the censored or truncated regression model, the nonlinear structural measurement error model, and the random effects model. The procedure is based on the general principle of stochastic approximation and the Markov chain Monte-Carlo method. Applying the theory on adaptive algorithms, we derive conditions under which the proposed procedure converges. Simulation studies also indicate that the proposed procedure consistently converges to the maximum likelihood estimate for the structural measurement error logistic regression model.

Critical transport properties of random metals in large magnetic fields

The threshold behavior of the transport properties of a random metal in the critical region near a metal–insulator transition is strongly affected by the measuring electromagnetic fields. In spite of the randomness, the electrical conductivity exhibits striking phase-coherent effects due to broken symmetry, which greatly sharpen the transition compared with the predictions of effective medium theories, as previously explained for electrical conductivities. Here broken symmetry explains the sign reversal of the T → 0 magnetoconductance of the metal–insulator transition in Si(B,P), also previously not understood by effective medium theories. Finally, the symmetry-breaking features of quantum percolation theory explain the unexpectedly very small electrical conductivity temperature exponent α = 0.22(2) recently observed in Ni(S,Se)2 alloys at the antiferromagnetic metal–insulator transition below T = 0.8 K.

Random locomotion and chemotaxis of human blood polymorphonuclear leukocytes (PMN) in the presence of EDTA: PMN in close quarters require neither leukocyte integrins nor external divalent cations

Divalent cations are thought essential for motile function of leukocytes in general, and for the function of critical adhesion molecules in particular. In the current study, under direct microscopic observation with concomitant time-lapse video recording, we examined the effects of 10 mM EDTA on locomotion of human blood polymorphonuclear leukocytes (PMN). In very thin slide preparations, EDTA did not impair either random locomotion or chemotaxis; motile behavior appeared to benefit from the close approximation of slide and coverslip (“chimneying”). In preparations twice as thick, PMN in EDTA first exhibited active deformability with little or no displacement, then rounded up and became motionless. However, on creation of a chemotactic gradient, the same cells were able to orient and make their way to the target, often, however, losing momentarily their purchase on the substrate. In either of these preparations without EDTA, specific antibodies to β2 integrins did not prevent random locomotion or chemotaxis, even when we added antibodies to β1 and αvβ3 integrins and to integrin-associated protein, and none of these antibodies added anything to the effects of EDTA. In the more turbulent environment of even more media, effects of anti-β2 integrins became evident: PMN still could locomote but adhered to substrate largely by their uropods and by uropod-associated filaments. We relate these findings to the reported independence from integrins of PMN in certain experimental and disease states. Moreover, we suggest that PMN locomotion in close quarters is not only integrin-independent, but independent of external divalent cations as well.

Use of genetic suppressor elements to dissect distinct biological effects of separate p53 domains.

p53 is a multifunctional tumor suppressor protein involved in the negative control of cell growth. Mutations in p53 cause alterations in cellular phenotype, including immortalization, neoplastic transformation, and resistance to DNA-damaging drugs. To help dissect distinct functions of p53, a set of genetic suppressor elements (GSEs) capable of inducing different p53-related phenotypes in rodent embryo fibroblasts was isolated from a retroviral library of random rat p53 cDNA fragments. All the GSEs were 100-300 nucleotides long and were in the sense orientation. They fell into four classes, corresponding to the transactivator (class I), DNA-binding (class II), and C-terminal (class III) domains of the protein and the 3'-untranslated region of the mRNA (class IV). GSEs in all four classes promoted immortalization of primary cells, but only members of classes I and III cooperated with activated ras to transform cells, and only members of class III conferred resistance to etoposide and strongly inhibited transcriptional transactivation by p53. These observations suggest that processes related to control of senescence, response to DNA damage, and transformation involve different functions of the p53 protein and furthermore indicate a regulatory role for the 3'-untranslated region of p53 mRNA.

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.