Field theory for a reaction-diffusion model of quasispecies dynamics

RNA viruses are known to replicate with extremely high mutation rates. These rates are actually close to the so-called error threshold. This threshold is in fact a critical point beyond which genetic information is lost through a second-order phase transition, which has been dubbed the ``error catastrophe.'' Here we explore this phenomenon using a field theory approximation to the spatially extended Swetina-Schuster quasispecies model [J. Swetina and P. Schuster, Biophys. Chem. {\bf 16}, 329 (1982)], a single-sharp-peak landscape. In analogy with standard absorbing-state phase transitions, we develop a reaction-diffusion model whose discrete rules mimic the Swetina-Schuster model. The field theory representation of the reaction-diffusion system is constructed. The proposed field theory belongs to the same universality class than a conserved reaction-diffusion model previously proposed [F. van Wijland {\em et al.}, Physica A {\bf 251}, 179 (1998)]. From the field theory, we obtain the full set of exponents that characterize the critical behavior at the error threshold. Our results present the error catastrophe from a new point of view and suggest that spatial degrees of freedom can modify several mean field predictions previously considered, leading to the definition of characteristic exponents that could be experimentally measurable.Comment: 13 page

Same task rules, different responses:Goal neglect, stimulus-response mapping and response modalities

To complete complex tasks, individuals must actively maintain task rules to direct behavior correctly. Failure to use task rules appropriately, termed goal neglect, has been shown across both vocal and manual response modalities. However, previous goal maintenance studies have differed not only in the response modality that they require, but also in the complexity of the stimulus–response mappings that participants must use during the task. The present study examines the effects of both response modality and stimulus–response mapping complexity, separately, on the rate of goal neglect in a modification of a classic goal maintenance task. Seventy-two younger adults were administered a shape-monitoring task, with three between-subjects response conditions: a vocal response with a simple stimulus–response mapping, a vocal response with a complex stimulus–response mapping, and a manual response with a complex stimulus–response mapping. Contrasting the rate at which task rules were neglected between response conditions showed that participants using complex stimulus–response mappings committed more frequent goal neglect than those using simple mappings, but that participants using vocal or manual responses did not differ in their rate of goal neglect once both responses required complex mappings. This suggests that the need to represent novel and complex stimulus–response mappings, of any modality, at the same time as novel task rules within working memory leads to some task rules being insufficiently maintained

The HIV-1 transmission bottleneck

It is well established that most new systemic infections of HIV-1 can be traced back to one or a limited number of founder viruses. Usually, these founders are more closely related to minor HIV-1 populations in the blood of the presumed donor than to more abundant lineages. This has led to the widely accepted idea that transmission selects for viral characteristics that facilitate crossing the mucosal barrier of the recipient’s genital tract, although the specific selective forces or advantages are not completely defined. However, there are other steps along the way to becoming a founder virus at which selection may occur. These steps include the transition from the donor’s general circulation to the genital tract compartment, survival within the transmission fluid, and establishment of a nascent stable local infection in the recipient’s genital tract. Finally, there is the possibility that important narrowing events may also occur during establishment of systemic infection. This is suggested by the surprising observation that the number of founder viruses detected after transmission in intravenous drug users is also limited. Although some of these steps may be heavily selective, others may result mostly in a stochastic narrowing of the available founder pool. Collectively, they shape the initial infection in each recipient

Analysis of the Temporal Relationship between Human Immunodeficiency Virus Type 1 Quasispecies in Sequential Blood Samples and Various Organs Obtained at Autopsy

We studied the temporal relationship between human immunodeficiency type 1 (HIV-1) quasispecies in tissues and in peripheral blood mononuclear cells (PBMC) of infected individuals. Sequential PBMC and tissue samples from various organs obtained at autopsy from three patients who died of AIDS-related complications were available for analysis. Biological HIV-1 clones were isolated from PBMC samples, and cellular tropism and syncytium-inducing (SI) capacity were determined. Genomic DNA was isolated from 1 cm(3) of organ tissue, and proviral DNA was amplified by means of PCR and cloned with the PGEM-T vector system. A 185-bp region encompassing the third variable domain of the virus envelope, known to influence HIV-1 biological properties, was sequenced. HIV-1 could be amplified from all PBMC and organ samples, except from liver tissue for two patients. Both SI and non-syncytium-inducing (NSI) genotypes could be detected in the different tissues. Tissue-specific quasispecies were observed in brain, lung, and testis. Lymphoid tissues, such as bone marrow, lymph node, and spleen, harbored several different variants similar to those detected in blood in the last PBMC samples. In general, only tissues in which macrophages are likely to be the main target cell for HIV-1 harbored NSI HIV-1 sequences that clustered separately. Both SI and NSI sequences that clustered with sequences from late-stage PBMC were present in other tissues, which may indicate that the presence of HIV-1 in those tissues is secondary to lymphocyte infiltration rather than to tissue tropism of HIV-1 itself. These data suggest that the viral reservoir may be limited, which will have important implications for the success of HIV-1 eradication

Infectious Cellular Load in Human Immunodeficiency Virus Type 1 (HIV-1)-Infected Individuals and Susceptibility of Peripheral Blood Mononuclear Cells from Their Exposed Partners to Non-Syncytium-Inducing HIV-1 as Major Determinants for HIV-1 Transmission in Homosexual Couples

To study risk factors for homosexual transmission of human immunodeficiency virus type 1 (HIV-1), we compared 10 monogamous homosexual couples between whom transmission of HIV-1 had occurred with 10 monogamous homosexual couples between whom HIV-1 transmission had not occurred despite high-risk sexual behavior. In the group of individuals who did not transmit virus, peripheral cellular infectious load was lower and the CD4(+) T-cell counts were higher than in the group of transmitters. HIV-1 RNA levels in serum did not differ between transmitters and nontransmitters. Compared with peripheral blood mononuclear cells (PBMC) from normal healthy blood donors, 8 of 10 nonrecipients and only 3 of 8 recipients had PBMC with reduced susceptibility to in vitro infection with non-syncytium-inducing (NSI) HIV-1 variants isolated from either their respective partners or an unrelated individual. No difference in susceptibility was observed for infection with a syncytium-inducing variant. Among the individuals who had PBMC with reduced susceptibility, five nonrecipients and one recipient had PBMC that were equally or even less susceptible to NSI variants than PBMC that had low susceptibility and that were derived from healthy blood donors that were heterozygous for a 32-bp deletion in the CCR5 gene (CCR5 Δ32). Three of these individuals (all nonrecipients) had a CCR5 Δ32 heterozygous genotype themselves, confirming an association between low susceptibility to NSI variants and CCR5 Δ32 heterozygosity. All three recipients with less susceptible PBMC had partners with a high infectious cellular load; inversely, both nonrecipients with normally susceptible PBMC had partners with a very low infectious cellular load. These results suggest that a combination of susceptibility of target cells and inoculum size upon homosexual exposure largely determines whether HIV-1 infection is established