Abstract:Functional mutations in coding regions not only affect the structure and function of the protein products, but may also modulate their expression in some cases. This class of mutations, recently dubbed “duon mutations” due to their dual roles, can potentially have major impacts on downstream pathways. However their significance in diseases such as cancer remain unclear. In a survey covering 4606 samples from 19 cancer types, and integrating allelic expression, overall mRNA expression, regulatory motif perturba… Show more
“…However, the peak in the temperature dependence of specific heat at ∼ 100 K well above T N is characterized by an entropy release of (R/2) ln 2 (R is the gas constant) [12,13], and Raman scattering spectra show fermionic responses [14,15], which have been explained by fractionalized excitations consistent with the Kitaev model. Several experimental studies have found that the application of magnetic field in the honeycome plane can suppress the ZZ order with a critical field of ∼ 7 T [16,17], above which a paramagnetic state appears. Most notably, in a limited field (H) and temperature (T ) range of this field-induced paramagnetic state, the field-dependent thermal Hall conductivity measurements [18][19][20] have revealed a plateau behavior with the value close to one half of quantized thermal Hall conductivity of electronic system.…”
The exactly-solvable Kitaev model of twodimensional honeycome magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic state of α-RuCl 3 , half-integer quantization of thermal Hall conductivity has been reported as a signature of Majorana fermions, but the bulk nature of this state remains elusive. Here, from high-resolution heat capacity measurements under in-plane field rotation, we find strongly angle-dependent low-energy excitations in the bulk of α-RuCl 3 . The excitation gap has a sextuple node structure, and the gap amplitude increases with field, exactly as expected for itinerant Majorana fermions in the Kitaev model. Our thermodynamic results are fully linked with the transport quantization properties, providing the first demonstration of the bulk-edge correspondence in a Kitaev QSL.Quantum spin liquids (QSLs) are enigmatic states of matter, in which quantum fluctuations and frustrations prevent spin configurations in a lattice from any solid-like ordered alignments [1,2]. In the exactly solvable model of two-dimensional honeycome lattice proposed by Kitaev [3], the bond-dependent Ising interactions act as an exchange frustration, leading to a QSL ground state with characteristic excitations of Majorana fermions. These Majorana excitations are important to make non-abelian anyons that are useful for fault-tolerant topological quantum computations. Realizing this intriguing QSL state in real materials is therefore quite important, and there are tremendous efforts to search the QSL states in Mott insulators with strong spin-orbit coupling [4][5][6].In the Kitaev model [3], each S = 1/2 spin at the honeycome site can be converted to two kinds of Majorana fermions, itinerant and localized ones, the latter of which form the so-called Z 2 flux (which may also be called as vison) per hexagon plaquette. By this representation the quantum many-body problem of spins can
“…However, the peak in the temperature dependence of specific heat at ∼ 100 K well above T N is characterized by an entropy release of (R/2) ln 2 (R is the gas constant) [12,13], and Raman scattering spectra show fermionic responses [14,15], which have been explained by fractionalized excitations consistent with the Kitaev model. Several experimental studies have found that the application of magnetic field in the honeycome plane can suppress the ZZ order with a critical field of ∼ 7 T [16,17], above which a paramagnetic state appears. Most notably, in a limited field (H) and temperature (T ) range of this field-induced paramagnetic state, the field-dependent thermal Hall conductivity measurements [18][19][20] have revealed a plateau behavior with the value close to one half of quantized thermal Hall conductivity of electronic system.…”
The exactly-solvable Kitaev model of twodimensional honeycome magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic state of α-RuCl 3 , half-integer quantization of thermal Hall conductivity has been reported as a signature of Majorana fermions, but the bulk nature of this state remains elusive. Here, from high-resolution heat capacity measurements under in-plane field rotation, we find strongly angle-dependent low-energy excitations in the bulk of α-RuCl 3 . The excitation gap has a sextuple node structure, and the gap amplitude increases with field, exactly as expected for itinerant Majorana fermions in the Kitaev model. Our thermodynamic results are fully linked with the transport quantization properties, providing the first demonstration of the bulk-edge correspondence in a Kitaev QSL.Quantum spin liquids (QSLs) are enigmatic states of matter, in which quantum fluctuations and frustrations prevent spin configurations in a lattice from any solid-like ordered alignments [1,2]. In the exactly solvable model of two-dimensional honeycome lattice proposed by Kitaev [3], the bond-dependent Ising interactions act as an exchange frustration, leading to a QSL ground state with characteristic excitations of Majorana fermions. These Majorana excitations are important to make non-abelian anyons that are useful for fault-tolerant topological quantum computations. Realizing this intriguing QSL state in real materials is therefore quite important, and there are tremendous efforts to search the QSL states in Mott insulators with strong spin-orbit coupling [4][5][6].In the Kitaev model [3], each S = 1/2 spin at the honeycome site can be converted to two kinds of Majorana fermions, itinerant and localized ones, the latter of which form the so-called Z 2 flux (which may also be called as vison) per hexagon plaquette. By this representation the quantum many-body problem of spins can
“…found that at least 14% of coding regions in human genomes can bind transcription factors 50 . The prevalence of such sequences and their implication in diseases suggest their important roles in human genomes and diseases 47 – 49 , 51 . Third, we compared the conservation score distributions of CDS and UTR indels between cancer genomes and healthy genomes.…”
Section: Discussionmentioning
confidence: 99%
“…About 15% of codons in the human genome were hypersensitive to DNase I treatment, suggesting the existence of likely dual-use sequences for both amino acid coding and transcriptional regulation 50 . These dual function sequences, termed as duons, were considered to be more conserved than non-duon coding sequences and mutations in these duons could lead to diseases 50 , 51 .…”
Insertions and deletions (Indels) represent one of the major variation types in the human genome and have been implicated in diseases including cancer. To study the features of somatic indels in different cancer genomes, we investigated the indels from two large samples of cancer types: invasive breast carcinoma (BRCA) and lung adenocarcinoma (LUAD). Besides mapping somatic indels in both coding and untranslated regions (UTRs) from the cancer whole exome sequences, we investigated the overlap between these indels and transcription factor binding sites (TFBSs), the key elements for regulation of gene expression that have been found in both coding and non-coding sequences. Compared to the germline indels in healthy genomes, somatic indels contain more coding indels with higher than expected frame-shift (FS) indels in cancer genomes. LUAD has a higher ratio of deletions and higher coding and FS indel rates than BRCA. More importantly, these somatic indels in cancer genomes tend to locate in sequences with important functions, which can affect the core secondary structures of proteins and have a bigger overlap with predicted TFBSs in coding regions than the germline indels. The somatic CDS indels are also enriched in highly conserved nucleotides when compared with germline CDS indels.
“…Four possible group representations for this exon subregion are suggested in the top of the figure (panel a). These types of protein-coding regions are called duons, since their base-triplets encode information not only for aminoacids but also for transcription enhancers [32][33][34]. Fig.…”
Experimental studies reveal that genome architecture splits into natural domains suggesting a well-structured genomic architecture, where, for each species, genome populations are integrated by individual mutational variants. Herein, we show that the architecture of population genomes from the same or closed related species can be quantitatively represented in terms of the direct sum of homocyclic abelian groups defined on the genetic code, where populations from the same species lead to the same canonical decomposition into p -groups. This finding unveils a new ground for the application of the abelian group theory to genomics and epigenomics, opening new horizons for the study of the biological processes (at genomic scale) and provides new lens for genomic medicine.
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