Static Pairwise Annihilation in Complex Networks

We study static annihilation on complex networks, in which pairs of connected particles annihilate at a constant rate during time. Through a mean-field formalism, we compute the temporal evolution of the distribution of surviving sites with an arbitrary number of connections. This general formalism, which is exact for disordered networks, is applied to Kronecker, Erd\"os-R\'enyi (i.e. Poisson) and scale-free networks. We compare our theoretical results with extensive numerical simulations obtaining excellent agreement. Although the mean-field approach applies in an exact way neither to ordered lattices nor to small-world networks, it qualitatively describes the annihilation dynamics in such structures. Our results indicate that the higher the connectivity of a given network element, the faster it annihilates. This fact has dramatic consequences in scale-free networks, for which, once the ``hubs'' have been annihilated, the network disintegrates and only isolated sites are left.Comment: 7 Figures, 10 page

Mechanisms of interaction of radiation with matter

This project is concerned with studies of biological activity-structure relationships in which the mechanisms of interaction of ionizing radiation and benzopyrene (PB) compounds with DNA are being investigated and compared. Emphasis is focused on effects of DNA conformation on its mechanisms of interaction with ionizing radiation, on the influence of structure and stereochemistry of BP metabolites on mechanisms of DNA damage, and on influence of DNA conformation on interactions between BP metabolites and DNA molecules, and the structures of the complexes and adducts which are formed. One basic theme of this project is the use of photoexcited states of BP and nucleic acids as probes of these interactions. In part I of this report, recent progress on elucidating the structures of selected BP-oligonucleotide model adducts by high resolution NMR and gel electrophoresis techniques is summarized. It is shown that the stereochemical properties of benzo(a)pyrene diol epoxide-DNA adducts play a crucial role in determining their interactions with certain exonucleases. These results provide useful models for deriving a better understanding of differences biological activities of BP compounds and the relationships between mutagenicities and the structure properties of BP-DNA adducts. In Part II of this report, a new time-resolved method based on picosecond laser pulse techniques for elucidating the electronic levels involved in electron photoemission and electron transfer in BP and nucleic acid solids is described

DNA Adducts of Decarbamoyl Mitomycin C Efficiently Kill Cells without Wild-Type p53 Resulting from Proteasome-Mediated Degradation of Checkpoint Protein 1

The mitomycin derivative 10-decarbamoyl mitomycin C (DMC) more rapidly activates a p53independent cell death pathway than mitomycin C (MC). We recently documented that an increased proportion of mitosene1-β-adduct formation occurs in human cells treated with DMC in comparison to those treated with MC. Here, we compare the cellular and molecular response of human cancer cells treated with MC and DMC. We find the increase in mitosene 1-β-adduct formation correlates with a condensed nuclear morphology and increased cytotoxicity in human cancer cells with or without p53. DMC caused more DNA damage than MC in the nuclear and mitochondrial genomes. Checkpoint 1 protein (Chk1) was depleted following DMC, and the depletion of Chk1 by DMC was achieved through the ubiquitin proteasome pathway since chemical inhibition of the proteasome protected against Chk1 depletion. Gene silencing of Chk1 by siRNA increased the cytotoxicity of MC. DMC treatment caused a decrease in the level of total ubiquitinated proteins without increasing proteasome activity, suggesting that DMC mediated DNA adducts facilitate signal transduction to a pathway targeting cellular proteins for proteolysis. Thus, the mitosene-1-β stereoisomeric DNA adducts produced by the DMC signal for a p53-independent mode of cell death correlated with reduced nuclear size, persistent DNA damage, increased ubiquitin proteolysis and reduced Chk1 protein

Pattern formation in diffusion-limited reactions

The conditions for macroscopic segregation of A and B in a steady-state A+B → 0 reaction are studied in infinite systems. Segregation occurs in one and two dimensions and is marginal for d =3. We note the dependence of these results on the precise experimental conditions assumed in the theory. We also note the difference between these results and our earlier ones for finite systems where the critical dimension is d =2.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45155/1/10955_2005_Article_BF01044727.pd

PrimPol-dependent single-stranded gap formation mediates homologous recombination at bulky DNA adducts

Stalled replication forks can be restarted and repaired by RAD51-mediated homologous recombination (HR), but HR can also perform post-replicative repair after bypass of the obstacle. Bulky DNA adducts are important replication-blocking lesions, but it is unknown whether they activate HR at stalled forks or behind ongoing forks. Using mainly BPDE-DNA adducts as model lesions, we show that HR induced by bulky adducts in mammalian cells predominantly occurs at post-replicative gaps formed by the DNA/RNA primase PrimPol. RAD51 recruitment under these conditions does not result from fork stalling, but rather occurs at gaps formed by PrimPol re-priming and resection by MRE11 and EXO1. In contrast, RAD51 loading at double-strand breaks does not require PrimPol. At bulky adducts, PrimPol promotes sister chromatid exchange and genetic recombination. Our data support that HR at bulky adducts in mammalian cells involves post-replicative gap repair and define a role for PrimPol in HR-mediated DNA damage tolerance

Base sequence effects on DNA replication influenced by bulky adducts. Final report, March 1, 1995--February 28, 1997

Polycyclic aromatic hydrocarbons (PAH) are environmental pollutants that are present in air, food, and water. While PAH compounds are chemically inert and are sparingly soluble in aqueous solutions, in living cells they are metabolized to a variety of oxygenated derivatives, including the high mutagenic and tumorigenic diol epoxide derivatives. The diol epoxides of the sterically hindered fjord region compound benzo[c]phenanthrene (B[c]PhDE) are among the most powerful tumorigenic compounds in animal model test systems. In this project, site-specifically modified oligonucleotides containing single B[c]PhDE-N{sup 6}-dA lesions derived from the reactions of the 1S,2R,3R,4S and 1R,2S,3S,4R diol epoxides of B[c]PhDE with dA residues were synthesized. The replication of DNA catalyzed by a prokaryotic DNA polymerase (the exonuclease-free Klenow fragment E. Coli Po1 I) in the vicinity of the lesion at base-specific sites on B[c]PhDE-modified template strands was investigated in detail. The Michaelis-Menten parameters for the insertion of single deoxynucleotide triphosphates into growing DNA (primer) strands using the modified dA* and the bases just before and after the dA* residue as templates, depend markedly on the stereochemistry of the B[c]PhDE-modified dA residues. These observations provide novel insights into the mechanisms by which bulky PAH-DNA adducts affect normal DNA replication