Ultralow frequency (ULF) electromagnetic waves in Earth's magnetosphere can accelerate charged particles via a process called drift resonance. In the conventional drift resonance theory, a default assumption is that the wave growth rate is time independent, positive, and extremely small. However, this is not the case for ULF waves in the real magnetosphere. The ULF waves must have experienced an earlier growth stage when their energy was taken from external and/or internal sources, and as time proceeds the waves have to be damped with a negative growth rate. Therefore, a more generalized theory on particle behavior during different stages of ULF wave evolution is required. In this paper, we introduce a time‐dependent imaginary wave frequency to accommodate the growth and damping of the waves in the drift resonance theory, so that the wave‐particle interactions during the entire wave lifespan can be studied. We then predict from the generalized theory particle signatures during different stages of the wave evolution, which are consistent with observations from Van Allen Probes. The more generalized theory, therefore, provides new insights into ULF wave evolution and wave‐particle interactions in the magnetosphere.
Aggregation and misfolding of the prion protein (PrP) are thought to be the cause of a family of lethal neurodegenerative diseases affecting humans and other animals. Although the structures of PrP from several species have been solved, still little is known about the mechanisms that lead to the misfolded species. Here, we show that the region of PrP comprising the hairpin formed by the helices H2 and H3 is a stable independently folded unit able to retain its secondary and tertiary structure also in the absence of the rest of the sequence. We also prove that the isolated H2H3 is highly fibrillogenic and forms amyloid fibers morphologically similar to those obtained for the full-length protein. Fibrillization of H2H3 but not of full-length PrP is concomitant with formation of aggregates. These observations suggest a "banana-peeling" mechanism for misfolding of PrP in which H2H3 is the aggregation seed that needs to be first exposed to promote conversion from a helical to a -rich structure.Transmissible spongiform encephalopathies are fatal neurodegenerative pathologies that affect humans as well as several other mammalian species. They are thought to be caused by the aggregation and misfolding of the prion protein (PrP).7 According to the "protein-only" hypothesis (1-3), PrP undergoes an ␣-to- transition from its native state (PrP c ) to a misfolded species (PrP sc ), which is believed to act as a template to "infect" and misfold other PrP copies. As in other misfolding pathologies such as Alzheimer and Parkinson diseases, the neurotoxicity of PrP Sc is thought to be associated to an oligomeric form of the protein rather than to the mature aggregates (4).One of the crucial questions that remains unanswered concerns which region(s) of PrP promotes the polymerization process; this information would be both the key for understanding cross-species infectivity and help in decoding the bases of the aggregation process. Different regions have been proposed to be the fibrillogenic seed. PrP c consists of an unstructured N-terminal tail and a folded C-terminal domain formed by three helices (H1, H2, and H3) and a short-stranded -sheet (formed by S1 and S2). H2 and H3 are connected through a disulfide bridge (5). A common view suggests the S1H1S2 region is crucial for -sheet seeding and PrP Sc formation (6, 7). H1 has been implicated as a primary interaction site between PrP Sc and PrP c (8, 9), whereas the loop between S2 and H2, a rigid loop stabilized by its long range interactions with H3 (10), and the C terminus of H3 has been suggested to be recognized by a "Protein-X" that would affect the conversion of PrP c into PrP Sc (11). A study based on intrachain distance estimation performed on tagged PrP amyloid fibrils obtained under chaotropic treatment suggests the involvement of the H2H3 domain of PrP in amyloid formation (12). H/D exchange studies of the amyloid fibrils from human PrP reveal that the -sheet core of PrP amyloids is formed by H2, the major part of H3, and the loop between them (13, 14).We have fol...
The absence of telomerase in many eukaryotes leads to the gradual shortening of telomeres, causing replicative senescence. In humans, this proliferation barrier constitutes a tumor suppressor mechanism and may be involved in cellular aging. Yet the heterogeneity of the senescence phenotype has hindered the understanding of its onset. Here we investigated the regulation of telomere length and its control of senescence heterogeneity. Because the length of the shortest telomeres can potentially regulate cell fate, we focus on their dynamics in Saccharomyces cerevisiae. We developed a stochastic model of telomere dynamics built on the protein-counting model, where an increasing number of protein-bound telomeric repeats shift telomeres into a nonextendable state by telomerase. Using numerical simulations, we found that the length of the shortest telomere is well separated from the length of the others, suggesting a prominent role in triggering senescence. We evaluated this possibility using classical genetic analyses of tetrads, combined with a quantitative and sensitive assay for senescence. In contrast to mitosis of telomerase-negative cells, which produces two cells with identical senescence onset, meiosis is able to segregate a determinant of senescence onset among the telomerase-negative spores. The frequency of such segregation is in accordance with this determinant being the length of the shortest telomere. Taken together, our results substantiate the length of the shortest telomere as being the key genetic marker determining senescence onset in S. cerevisiae.
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