TASK DEFINITION: In this task, you're given a paragraph from the research paper and your task is to generate a suitable title for the research paper based on the given paper. Under 100 words is a good title length.
PROBLEM: This study investigates property securities bubbles and crashes by using a dynamic mathematical methodology developed from the previous research (Watanabe et al. 2007a, b [31,32]). The improved model is used to detect the bubble and crash periods in five international countries/cities (namely, . By this model definition, we are able to detect the beginning of each bubble period even before it bursts. Meanwhile, the empirical results show that most of property securities markets experienced bubble periods between 2003 and 2007, and crashes happened in Apr 2008 triggered by the Subprime Mortgage Crisis of US. In contrast, Japan suffered the shortest bubble period and no evidence has documented the existence of crash there.

SOLUTION: Physica A A dynamic mathematical test of international property securities bubbles and crashes

PROBLEM: Background: The HIV-1 RNA genome has a biased nucleotide composition with a surplus of As. Several hypotheses have been put forward to explain this striking phenomenon, but the A-count of the HIV-1 genome has thus far not been systematically manipulated. The reason for this reservation is the likelihood that known and unknown sequence motifs will be affected by such a massive mutational approach, thus resulting in replication-impaired virus mutants. We present the first attempt to increase and decrease the A-count in a relatively small polymerase (pol) gene segment of HIV-1 RNA. To minimize the mutational impact, a new mutational approach was developed that is inspired by natural sequence variation as present in HIV-1 isolates. This phylogeny-instructed mutagenesis allowed us to create replication-competent HIV-1 mutants with a significantly increased or decreased local A-count. The local A-count of the wild-type (wt) virus (40.2%) was further increased to 46.9% or reduced to 31.7 and 26.3%. These HIV-1 variants replicate efficiently in vitro, despite the fact that the pol changes cause a quite profound move in HIV-SIV sequence space. Extrapolating these results to the complete 9 kb RNA genome, we may cautiously suggest that the A-rich signature does not have to be maintained. This survey also provided clues that silent codon changes, in particular from G-to-A, determine the subtype-specific sequence signatures.

SOLUTION: HIV-1 tolerates changes in A-count in a small segment of the pol gene

PROBLEM: Background: Mutations in the PB1 subunit of RNA-dependent RNA polymerase (RdRp) of influenza A virus can affect replication fidelity. Before the influenza A/H1N1 pandemic in 2009, most human influenza A/H1N1 viruses contained the avian-associated residue, serine, at position 216 in PB1. However, near the onset of the 2009 pandemic, human viruses began to acquire the mammalian-associated residue, glycine, at PB1-216, and PB1-216G became predominant in human viruses thereafter. Methods: Using entropy-based analysis algorithm, we have previously identified several host-specific aminoacid signatures that separated avian and swine viruses from human influenza viruses. The presence of these host-specific signatures in human influenza A/H1N1 viruses suggested that these mutations were the result of adaptive genetic evolution that enabled these influenza viruses to circumvent host barriers, which resulted in cross-species transmission. We investigated the biological impact of this natural avian-to-mammalian signature substitution at PB1-216 in human influenza A/H1N1 viruses. Results: We found that PB1-216G viruses had greater mutation potential, and were more sensitive to ribavirin than PB1-216S viruses. In oseltamivir-treated HEK293 cells, PB1-216G viruses generated mutations in viral neuraminidase at a higher rate than PB1-216S viruses. By contrast, PB1-216S viruses were more virulent in mice than PB1-216G viruses. These results suggest that the PB1-S216G substitution enhances viral epidemiological fitness by increasing the frequency of adaptive mutations in human influenza A/H1N1 viruses. Our results thus suggest that the increased adaptability and epidemiological fitness of naturally arising human PB1-216G viruses, which have a canonical low-fidelity replicase, were the biological mechanisms underlying the replacement of PB1-216S viruses with a high-fidelity replicase following the emergence of pdmH1N1. We think that continued surveillance of such naturally occurring PB1-216 variants among others is warranted to assess the potential impact of changes in RdRp fidelity on the adaptability and epidemiological fitness of human A/H1N1 influenza viruses.

SOLUTION:
Naturally occurring mutations in PB1 affect influenza A virus replication fidelity, virulence, and adaptability