Evolutionary Game Theoretic Insights on the SIRS Model of the COVID-19 Pandemic.

The effectiveness of control measures against the diffusion of the COVID-19 pandemic is grounded on the assumption that people are prepared and disposed to cooperate. From a strategic decision point of view, cooperation is the unreachable strategy of the prisoner's dilemma game, where the temptation to exploit the others and the fear to be betrayed by them drives the people behavior, which eventually results fully defective. In this work, we integrate the SIRS epidemic model with the replicator equation of evolutionary games in order to study the interplay between the infection spreading and the propensity of people to become cooperative under the pressure of the epidemic. We find that the developed model possesses several steady states, including fully or partially cooperative ones and that the presence of such states allows to take the disease under control. Moreover, assuming a seasonal variation of the infection rate, the system presents rich dynamics, including chaotic behavior and epidemic extinction.

Lumping evolutionary game dynamics on networks.

We study evolutionary game dynamics on networks (EGN), where players reside in the vertices of a graph, and games are played between neighboring vertices. The model is described by a system of ordinary differential equations which depends on players payoff functions, as well as on the adjacency matrix of the underlying graph. Since the number of differential equations increases with the number of vertices in the graph, the analysis of EGN becomes hard for large graphs. Building on the notion of lumpability for Markov chains, we identify conditions on the network structure allowing to reduce the original graph. In particular, we identify a partition of the vertex set of the graph and show that players in the same block of a lumpable partition have equivalent dynamical behaviors, whenever their payoff functions and initial conditions are equivalent. Therefore, vertices belonging to the same partition block can be merged into a single vertex, giving rise to a reduced graph and consequently to a simplified system of equations. We also introduce a tighter condition, called strong lumpability, which can be used to identify dynamical symmetries in EGN which are related to the interchangeability of players in the system.

Molecular characterization of five Italian families with inherited severe factor XIII deficiency.

Factor XIII (FXIII) deficiency is a very rare (1:2 000 000) severe autosomal recessive bleeding disorder, mostly due to mutations in the coagulation FXIII A-subunit gene. We have studied the molecular basis of FXIII deficiency in five unrelated Italian families. The coding region, intron-exon boundaries and 5'- and 3'-untranslated regions of the FXIII gene encoding the A subunit were amplified and directly sequenced. Candidate mutations were identified in all the patients. Three novel mutations occurred in three patients. These include a novel homozygous deletion of two base pairs (bp) in exon 14 (c.2002-2003 DelCT). This deletion causes a frameshift from Leu667 and the formation of a stop codon at amino acid position 681. The second patient presents a novel homozygous (c.2126 G>A) transition in exon 15, predicting a Ser708Asn in Barrel 2 domain. The third patient is compound heterozygote for two missense mutations, a previously reported Arg260His substitution, and a novel transition in exon 4 (c.560 C>T) predicting a Pro186Leu in the core domain. The remaining two patients have two previously reported mutations: a 4-bp homozygous deletion in exon 11 (c.1392-1395 Del AATT), previously reported to occur in the Vicenza Area, and a homozygous nonsense mutation in exon 8 (c.979 C>T) predicting an Arg326X in the core domain. The novel mutations occurred at amino acid residues highly conserved among different species (pig, monkey, mouse and dog) and were not detected in 110 normal alleles. Structural analysis shows that Pro186Leu mutation leads to the replacement of the rigid proline pyrrolidine ring by the larger and more flexible leucine side chain and Ser708Asn may probably disrupt the hydrogen bond with Ala291.

Spectrum of mutations in Albanian patients with haemophilia A: identification of ten novel mutations in the factor VIII gene.

Genetic analysis was carried out in 37 Albanian patients with haemophilia A. The factor VIII intron 22 inversion was detected only in 2/19 (10.5%) apparently unrelated patients with severe haemophilia A, while the intron 1 inversion was absent. A total of 19 different gene mutations were identified. Ten mutations were novel: four null mutations in severe haemophilia A patients (Gln1090X, Cys1832X, 2374delT, 5676insT) and six missense mutations (five in severe haemophilia A) (Ile76Thr, Leu299Pro, Asp525Glu, Cys692Tyr, His1755Leu and Trp1835Cys). None of these novel mutations occurred at CpG hotspots. These results further emphasize the extreme heterogeneity of the molecular basis of haemophilia A. The low prevalence of intron 22 inversion in Albanian patients with severe haemophilia A should be addressed by further studies.

Phenotypic APC resistance in carriers of the A20210 prothrombin mutation is associated with an increased risk of venous thrombosis.

We hypothesized that increased prothrombin levels associated with G20210A prothrombin gene mutation could affect the results of activated protein C (APC) resistance phenotype and increase the risk of venous thrombosis (VT). The increasing addition of purified prothrombin in plasma of 90 normal subjects resulted in a parallel significant increase of APC resistance. Significantly different mean n-APC-SR in 879 GG20210 subjects compared to 27 heterozygous carriers of isolated G20210A mutation was observed (1.0 +/- 0.12 vs. 0.95 +/- 0.11; P = 0.02) in a random sample of 906 normal population subjects. Twenty-seven families with VT and isolated G20210A mutation consecutively diagnosed during 1998-1999 were evaluated. Mean n-APC-SR was significantly lower in the 80 G20210A carriers compared to 58 GG 20210 relatives investigated, even after sex and age adjustment (0.92 +/- 0.08 vs. 1.05 +/- 0.13; P < 0.0001). A strong relationship between plasma prothrombin level and n-APC-SR was observed in the families. When n-APC-SR values were grouped in tertiles, the odds ratio for VTE, after exclusion of the index cases and adjustment for 20210 status, for subjects in the lowest tertile (n-APC-SR 0.73-0.90) was 4.58 (95% CI 0.78-26.88) compared to upper tertile (n-APC-SR 1.01-1.30). In conclusion, in subjects with G20210A mutation APC resistance is significantly increased, correlates with plasma prothrombin level and the carriers with the lowest APC resistance values have an increased risk of VTE.

A comparative evaluation of gene transfer into blood cells using the same retroviral backbone for independent expression of the EGFP and deltaLNGFR marker genes.

BACKGROUND AND OBJECTIVES: Retroviral vectors are widely used to deliver foreign genes to hematopoietic stem cells (HSC). Improvement of marking protocols needs reporter genes to allow rapid detection and efficient selection of transduced cells. The great potential of EGFP and LNGFR as reporter systems prompted us to compare them simultaneously, using the same retroviral backbone and the same gene transfer procedures. DESIGN AND METHODS: The EGFP and LNGFR coding sequences were separately cloned into the MFG retroviral backbone. A cloning strategy assuring that both genes utilize the same ATG as the start codon was adopted. Marker gene expression, viral titers, transduction efficiency, and vector stability were evaluated in expanded amphotropic packaging clones and human hematopoietic cell lines by flow cytometry and PCR analysis. Vectors were also tested for their ability to transduce CD34+ peripheral blood cells. RESULTS: A significantly larger number of MFG- LNGFR packaging clones were obtained that produced high viral titers. A direct correlation between viral titer and marker gene expression in packaging clones was demonstrated for both constructs. Similar expression kinetics and absence of in vitro toxicity in transduced cells were also observed for both constructs. Successful infection of CD34+ cells was achieved even after a short time of exposure to recombinant viruses. INTERPRETATION AND CONCLUSIONS: Our results demonstrate that EGFP and LNGFR marker genes are equally useful for a rapid, specific and non-toxic detection of transduced cells. The MFG-EGFP construct appears useful to optimize gene transfer protocols in vitro. On the other hand, the MFG-LNGFR construct, for making possible a more efficient selection of high titer producer clones, as well as for safety and adaptability to the in vivo use, is more suitable for clinical applications.