Extbase Variable Dump
array(14 items)
   uid => 912 (integer)
   title => '3D Genome Reconstruction from Partially Phased Hi-C Data' (56 chars)
   abstract => 'The 3-dimensional (3D) structure of the genome is of significant importance 
      for many cellular processes. In this paper, we study the problem of reconstr
      ucting the 3D structure of chromosomes from Hi-C data of diploid organisms,
      which poses additional challenges compared to the better-studied haploid set
      ting. With the help of techniques from algebraic geometry, we prove that a s
      mall amount of phased data is sufficient to ensure finite identifiability, b
      oth for noiseless and noisy data. In the light of these results, we propose
      a new 3D reconstruction method based on semidefinite programming, paired wit
      h numerical algebraic geometry and local optimization. The performance of th
      is method is tested on several simulated datasets under different noise leve
      ls and with different amounts of phased data. We also apply it to a real dat
      aset from mouse X chromosomes, and we are then able to recover previously kn
      own structural features.
' (936 chars) authors => array(5 items) 0 => array(3 items) last_name => 'Cifuentes' (9 chars) first_name => 'Diego' (5 chars) sorting => 1 (integer) 1 => array(3 items) last_name => 'Jan' (3 chars) first_name => 'Draisma' (7 chars) sorting => 2 (integer) 2 => array(3 items) last_name => 'Henriksson' (10 chars) first_name => 'Oskar' (5 chars) sorting => 3 (integer) 3 => array(3 items) last_name => 'Korchmaros' (10 chars) first_name => 'Annachiara' (10 chars) sorting => 4 (integer) 4 => array(3 items) last_name => 'Kubjas' (6 chars) first_name => 'Kaie' (4 chars) sorting => 5 (integer) type => '0' (1 chars) keywords => '3D genome organization, Diploid organisms, Hi-C, Applied algebraic geometry,
       Numerical algebraic geometry, Mathematics Subject Classification, 92E10, 92
      -08, 13P25, 14P05, 65H14, 90C90
' (183 chars) year => 2024 (integer) affiliation => 0 (integer) link_paper => '' (0 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => '' (0 chars) doi => '' (0 chars) preprint => '-1' (2 chars)

3D Genome Reconstruction from Partially Phased Hi-C Data

2024: Diego Cifuentes; Draisma Jan; Oskar Henriksson; Annachiara Korchmaros; Kaie Kubjas

The 3-dimensional (3D) structure of the genome is of significant importance for many cellular processes. In this paper, we study the problem of reconstructing the 3D structure of chromosomes from Hi-C data of diploid organisms, which poses additional challenges compared to the better-studied haploid setting. With the help of techniques from algebraic geometry, we prove that a small amount of phased data is sufficient to ensure finite identifiability, both for noiseless and noisy data. In the light of these results, we propose a new 3D reconstruction method based on semidefinite programming, paired with numerical algebraic geometry and local optimization. The performance of this method is tested on several simulated datasets under different noise levels and with different amounts of phased data. We also apply it to a real dataset from mouse X chromosomes, and we are then able to recover previously known structural features.

Keywords: 3D genome organization, Diploid organisms, Hi-C, Applied algebraic geometry, Numerical algebraic geometry, Mathematics Subject Classification, 92E10, 92-08, 13P25, 14P05, 65H14, 90C90
Extbase Variable Dump
array(14 items)
   uid => 1 (integer)
   title => 'Annotation-Free Identification of Potential Synteny Anchors' (60 chars)
   abstract => '' (0 chars)
   authors => array(3 items)
      0 => array(3 items)
         last_name => 'Käther' (7 chars)
         first_name => 'Karl' (4 chars)
         sorting => 1 (integer)
      1 => array(3 items)
         last_name => 'Lemke' (5 chars)
         first_name => 'Steffen' (7 chars)
         sorting => 2 (integer)
      2 => array(3 items)
         last_name => 'Stadler' (7 chars)
         first_name => 'Peter Florian' (13 chars)
         sorting => 3 (integer)
   type => '0' (1 chars)
   keywords => '' (0 chars)
   year => 2023 (integer)
   affiliation => 0 (integer)
   link_paper => 'https://link.springer.com/content/pdf/10.1007/978-3-031-34953-9_17' (66 chars)
   link_supplements => '' (0 chars)
   file_published => 0 (integer)
   journal => 'Bioinformatics and Biomedical Engineering; Lecture Notes in Computer Science' (76 chars)
   doi => '10.1007/978-3-031-34953-9_17' (28 chars)
   preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 13 (integer)
   title => 'Best Match Graphs With Binary Trees' (35 chars)
   abstract => '' (0 chars)
   authors => array(4 items)
      0 => array(3 items)
         last_name => 'Schaller' (8 chars)
         first_name => 'David' (5 chars)
         sorting => 1 (integer)
      1 => array(3 items)
         last_name => 'Geiß' (5 chars)
         first_name => 'Manüla' (7 chars)
         sorting => 2 (integer)
      2 => array(3 items)
         last_name => 'Hellmuth' (8 chars)
         first_name => 'Marc' (4 chars)
         sorting => 3 (integer)
      3 => array(3 items)
         last_name => 'Stadler' (7 chars)
         first_name => 'Peter Florian' (13 chars)
         sorting => 4 (integer)
   type => '0' (1 chars)
   keywords => 'Applied Mathematics, Genetics, Biotechnology' (44 chars)
   year => 2023 (integer)
   affiliation => 0 (integer)
   link_paper => 'http://xplorestaging.ieee.org/ielx7/8857/10144451/09684987.pdf?arnumber=9684
      987
' (79 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => 'IEEE/ACM Transactions on Computational Biology and Bioinformatics' (65 chars) doi => '10.1109/tcbb.2022.3143870' (25 chars) preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 2 (integer)
   title => 'Comparison of Atom Maps' (23 chars)
   abstract => 'The computation of reliable, chemically correct atom maps from educt/product
       pairs has turned out to be a difficult problem in cheminformatics because t
      he chemically correct solution is not necessarily an optimal solution for co
      mbinatorial formulations such as maximum common subgraph problems. As a cons
      equence, competing models have been devised and compared in extensive benchm
      arking studies. Due to isomorphisms among products and educts it is not imme
      diately obvious, however, when two atom maps for a given educt/product pairs
       are the same. We formalize here the equivalence of atom maps and show that
      equivalence of atom maps is in turn equivalent to the isomorphism of labeled
       auxiliary graphs. In particular, we demonstrate that Fujita's Imaginary Tra
      nsition State can be used for this purpose. Numerical experiments show that
      practical feasibility. Generalizations to the equivalence of subgraph matche
      s, double pushout graph transformation rules, and mechanisms of multi-step r
      eactions are discussed briefly.
' (1019 chars) authors => array(4 items) 0 => array(3 items) last_name => 'Gonzalez Laffitte' (17 chars) first_name => 'Marcos E.' (9 chars) sorting => 1 (integer) 1 => array(3 items) last_name => 'Beier' (5 chars) first_name => 'Nora' (4 chars) sorting => 2 (integer) 2 => array(3 items) last_name => 'Domschke' (8 chars) first_name => 'Nico' (4 chars) sorting => 3 (integer) 3 => array(3 items) last_name => 'Stadler' (7 chars) first_name => 'Peter Florian' (13 chars) sorting => 4 (integer) type => '0' (1 chars) keywords => 'Applied Mathematics, Computational Theory and Mathematics, Computer Science
      Applications, General Chemistry
' (107 chars) year => 2023 (integer) affiliation => 0 (integer) link_paper => 'https://match.pmf.kg.ac.rs/issues/m90n1/m90n1_75-102.html' (57 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => 'Match Communications in Mathematical and in Computer Chemistry' (62 chars) doi => '10.46793/match.90-1.075g' (24 chars) preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 893 (integer)
   title => 'Defining the landscape of circular RNAs in neuroblastoma unveils a global su
      ppressive function of MYCN
' (102 chars) abstract => 'Circular RNAs (circRNAs) are a regulatory RNA class. While cancer-driving fu
      nctions have been identified for single circRNAs, how they modulate gene exp
      ression in cancer is not well understood. We investigate circRNA expression
      in the pediatric malignancy, neuroblastoma, through deep whole-transcriptome
       sequencing in 104 primary neuroblastomas covering all risk groups. We demon
      strate that MYCN amplification, which defines a subset of high-risk cases,
      causes globally suppressed circRNA biogenesis directly dependent on the DHX9
       RNA helicase. We detect similar mechanisms in shaping circRNA expression in
       the pediatric cancer medulloblastoma implying a general MYCN effect. Compar
      isons to other cancers identify 25 circRNAs that are specifically upregulate
      d in neuroblastoma, including circARID1A. Transcribed from the ARID1A tumor
       suppressor gene, circARID1A promotes cell growth and survival, mediated by
      direct interaction with the KHSRP RNA-binding protein. Our study highlights
      the importance of MYCN regulating circRNAs in cancer and identifies molecula
      r mechanisms, which explain their contribution to neuroblastoma pathogenesis
      .
' (1141 chars) authors => array(30 items) 0 => array(3 items) last_name => 'Fuchs' (5 chars) first_name => 'Steffen' (7 chars) sorting => 1 (integer) 1 => array(3 items) last_name => 'Danßmann' (9 chars) first_name => 'Clara' (5 chars) sorting => 2 (integer) 2 => array(3 items) last_name => 'Klironomos' (10 chars) first_name => 'Filippos' (8 chars) sorting => 3 (integer) 3 => array(3 items) last_name => 'Winkler' (7 chars) first_name => 'Annika' (6 chars) sorting => 4 (integer) 4 => array(3 items) last_name => 'Fallmann' (8 chars) first_name => 'Jörg' (5 chars) sorting => 5 (integer) 5 => array(3 items) last_name => 'Krützfeldt' (11 chars) first_name => 'Louisa Marie' (12 chars) sorting => 6 (integer) 6 => array(3 items) last_name => 'Szymansky' (9 chars) first_name => 'Annabell' (8 chars) sorting => 7 (integer) 7 => array(3 items) last_name => 'Naderi' (6 chars) first_name => 'Julian' (6 chars) sorting => 8 (integer) 8 => array(3 items) last_name => 'Bernhart' (8 chars) first_name => 'Stephan H. F.' (14 chars) sorting => 9 (integer) 9 => array(3 items) last_name => 'Grunewald' (9 chars) first_name => 'Laura' (5 chars) sorting => 10 (integer) 10 => array(3 items) last_name => 'Helmsaür' (9 chars) first_name => 'Konstantin' (10 chars) sorting => 11 (integer) 11 => array(3 items) last_name => 'Rodrigüz Fos' (13 chars) first_name => 'Elias' (5 chars) sorting => 12 (integer) 12 => array(3 items) last_name => 'Kirchner' (8 chars) first_name => 'Marieluise' (10 chars) sorting => 13 (integer) 13 => array(3 items) last_name => 'Mertins' (7 chars) first_name => 'Philipp' (7 chars) sorting => 14 (integer) 14 => array(3 items) last_name => 'Astrahantseff' (13 chars) first_name => 'Kathy' (5 chars) sorting => 15 (integer) 15 => array(3 items) last_name => 'Sünkel' (7 chars) first_name => 'Christin' (8 chars) sorting => 16 (integer) 16 => array(3 items) last_name => 'Todling' (7 chars) first_name => 'Jorn' (4 chars) sorting => 17 (integer) 17 => array(3 items) last_name => 'Meggetto' (8 chars) first_name => 'Fabienne' (8 chars) sorting => 18 (integer) 18 => array(3 items) last_name => 'Remke' (5 chars) first_name => 'Marc' (4 chars) sorting => 19 (integer) 19 => array(3 items) last_name => 'Stadler' (7 chars) first_name => 'Peter Florian' (13 chars) sorting => 20 (integer) 20 => array(3 items) last_name => 'Hundsdorfer' (11 chars) first_name => 'Patrick' (7 chars) sorting => 21 (integer) 21 => array(3 items) last_name => 'Deubzer' (7 chars) first_name => 'Hedwig E.' (9 chars) sorting => 22 (integer) 22 => array(3 items) last_name => 'Künkele' (8 chars) first_name => 'Annette' (7 chars) sorting => 23 (integer) 23 => array(3 items) last_name => 'Lang' (4 chars) first_name => 'Peter' (5 chars) sorting => 24 (integer) 24 => array(3 items) last_name => 'Fuchs' (5 chars) first_name => 'Jörg' (5 chars) sorting => 25 (integer) 25 => array(3 items) last_name => 'Henssen' (7 chars) first_name => 'Anton G.' (8 chars) sorting => 26 (integer) 26 => array(3 items) last_name => 'Eggert' (6 chars) first_name => 'Angelika' (8 chars) sorting => 27 (integer) 27 => array(3 items) last_name => 'Rajewsky' (8 chars) first_name => 'Nikolaus' (8 chars) sorting => 28 (integer) 28 => array(3 items) last_name => 'Hertwig' (7 chars) first_name => 'Falk' (4 chars) sorting => 29 (integer) 29 => array(3 items) last_name => 'Schulte' (7 chars) first_name => 'Johannes H.' (11 chars) sorting => 30 (integer) type => '0' (1 chars) keywords => 'General Physics and Astronomy, General Biochemistry, Genetics and Molecular
      Biology, General Chemistry, Multidisciplinary
' (121 chars) year => 2023 (integer) affiliation => 0 (integer) link_paper => 'https://www.nature.com/articles/s41467-023-38747-4.pdf' (54 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => 'Nature Communications' (21 chars) doi => '10.1038/s41467-023-38747-4' (26 chars) preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 4 (integer)
   title => 'Led-Seq: ligation-enhanced double-end sequence-based structure analysis of 
      RNA
' (79 chars) abstract => 'Structural analysis of RNA is an important and versatile tool to investigate
       the function of this type of molecules in the cell as well as in vitro. Sev
      eral robust and reliable procedures are available, relying on chemical modif
      ication inducing RT stops or nucleotide misincorporations during reverse tra
      nscription. Others are based on cleavage reactions and RT stop signals. Howe
      ver, these methods address only one side of the RT stop or misincorporation
      position. Here, we describe Led-Seq, a new approach based on lead-induced cl
      eavage of unpaired RNA positions, where both resulting cleavage products are
      
      
      A ligases. In a deep sequencing analysis, the cleavage sites are identified
      as ligation positions, avoiding possible false positive signals based on pre
      mature RT stops. With a benchmark set of transcripts in Escherichia coli, we
       show that Led-Seq is an improved and reliable approach based on metal ion-i
      nduced phosphodiester hydrolysis to investigate RNA structures in vivo.
' (1135 chars) authors => array(7 items) 0 => array(3 items) last_name => 'Kolberg' (7 chars) first_name => 'Tim' (3 chars) sorting => 1 (integer) 1 => array(3 items) last_name => 'Von Lohneysen' (13 chars) first_name => 'Sarah' (5 chars) sorting => 2 (integer) 2 => array(3 items) last_name => 'Ozerova' (7 chars) first_name => 'Iuliia' (6 chars) sorting => 3 (integer) 3 => array(3 items) last_name => 'Wellner' (7 chars) first_name => 'Karolin' (7 chars) sorting => 4 (integer) 4 => array(3 items) last_name => 'Hartmann' (8 chars) first_name => 'Roland K.' (9 chars) sorting => 5 (integer) 5 => array(3 items) last_name => 'Stadler' (7 chars) first_name => 'Peter Florian' (13 chars) sorting => 6 (integer) 6 => array(3 items) last_name => 'Mörl' (5 chars) first_name => 'Mario' (5 chars) sorting => 7 (integer) type => '0' (1 chars) keywords => 'Genetics' (8 chars) year => 2023 (integer) affiliation => 0 (integer) link_paper => 'https://academic.oup.com/nar/article-pdf/51/11/e63/50669469/gkad312.pdf' (71 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => 'Nucleic Acids Research' (22 chars) doi => '10.1093/nar/gkad312' (19 chars) preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 3 (integer)
   title => 'Local RNA Folding Revisisted' (28 chars)
   abstract => '' (0 chars)
   authors => array(7 items)
      0 => array(3 items)
         last_name => 'Waldl' (5 chars)
         first_name => 'Maria' (5 chars)
         sorting => 1 (integer)
      1 => array(3 items)
         last_name => 'Spicher' (7 chars)
         first_name => 'Thomas' (6 chars)
         sorting => 2 (integer)
      2 => array(3 items)
         last_name => 'Lorenz' (6 chars)
         first_name => 'Ronny' (5 chars)
         sorting => 3 (integer)
      3 => array(3 items)
         last_name => 'Beckmann' (8 chars)
         first_name => 'Irene K.' (8 chars)
         sorting => 4 (integer)
      4 => array(3 items)
         last_name => 'Hofacker' (8 chars)
         first_name => 'Ivo L.' (6 chars)
         sorting => 5 (integer)
      5 => array(3 items)
         last_name => 'Von Lohneysen' (13 chars)
         first_name => 'Sarah' (5 chars)
         sorting => 6 (integer)
      6 => array(3 items)
         last_name => 'Stadler' (7 chars)
         first_name => 'Peter Florian' (13 chars)
         sorting => 7 (integer)
   type => '0' (1 chars)
   keywords => 'Computer Science Applications, Molecular Biology, Biochemistry' (62 chars)
   year => 2023 (integer)
   affiliation => 0 (integer)
   link_paper => 'https://www.worldscientific.com/doi/pdf/10.1142/S0219720023500166' (65 chars)
   link_supplements => '' (0 chars)
   file_published => 0 (integer)
   journal => 'Journal of Bioinformatics and Computational Biology' (51 chars)
   doi => '10.1142/s0219720023500166' (25 chars)
   preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 5 (integer)
   title => 'Planar median graphs and cubesquare-graphs' (42 chars)
   abstract => '' (0 chars)
   authors => array(4 items)
      0 => array(3 items)
         last_name => 'Seemann' (7 chars)
         first_name => 'Carsten R.' (10 chars)
         sorting => 1 (integer)
      1 => array(3 items)
         last_name => 'Moulton' (7 chars)
         first_name => 'Vincent' (7 chars)
         sorting => 2 (integer)
      2 => array(3 items)
         last_name => 'Stadler' (7 chars)
         first_name => 'Peter Florian' (13 chars)
         sorting => 3 (integer)
      3 => array(3 items)
         last_name => 'Hellmuth' (8 chars)
         first_name => 'Marc' (4 chars)
         sorting => 4 (integer)
   type => '0' (1 chars)
   keywords => 'Applied Mathematics, Discrete Mathematics and Combinatorics' (59 chars)
   year => 2023 (integer)
   affiliation => 0 (integer)
   link_paper => 'https://api.elsevier.com/content/article/PII:S0166218X23000203?httpAccept=te
      xt/xml
' (82 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => 'Discrete Applied Mathematics' (28 chars) doi => '10.1016/j.dam.2023.01.022' (25 chars) preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 6 (integer)
   title => 'Quasi-best match graphs' (23 chars)
   abstract => '' (0 chars)
   authors => array(4 items)
      0 => array(3 items)
         last_name => 'Korchmaros' (10 chars)
         first_name => 'Annachiara' (10 chars)
         sorting => 1 (integer)
      1 => array(3 items)
         last_name => 'Schaller' (8 chars)
         first_name => 'David' (5 chars)
         sorting => 2 (integer)
      2 => array(3 items)
         last_name => 'Hellmuth' (8 chars)
         first_name => 'Marc' (4 chars)
         sorting => 3 (integer)
      3 => array(3 items)
         last_name => 'Stadler' (7 chars)
         first_name => 'Peter Florian' (13 chars)
         sorting => 4 (integer)
   type => '0' (1 chars)
   keywords => 'Applied Mathematics, Discrete Mathematics and Combinatorics' (59 chars)
   year => 2023 (integer)
   affiliation => 0 (integer)
   link_paper => 'https://api.elsevier.com/content/article/PII:S0166218X23000173?httpAccept=te
      xt/xml
' (82 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => 'Discrete Applied Mathematics' (28 chars) doi => '10.1016/j.dam.2023.01.015' (25 chars) preprint => '-1' (2 chars)
Extbase Variable Dump
array(14 items)
   uid => 725 (integer)
   title => 'Relative Timing Information and Orthology inEvolutionary Scenarios' (66 chars)
   abstract => 'Background: Evolutionary scenarios describing the evolution of a family of g
      enes within a collection of species comprise the mapping of the vertices of
      a gene tree T to vertices and edges of a species tree S. The relative timing
       of the last common ancestors of two extant genes (leaves of T) and the last
       common ancestors of the two species (leaves of S) in which they reside is i
      ndicative of horizontal gene transfers (HGT) and ancient duplications. Ortho
      logous gene pairs, on the other hand, require that their last common ancesto
      rs coincides with a corresponding speciation event. The relative timing info
      rmation of gene and species divergences is captured by three colored graphs
      that have the extant genes as vertices and the species in which the genes ar
      e found as vertex colors: the equal-divergence-time (EDT) graph, the later-d
      ivergence-time (LDT) graph and the prior-divergence-time (PDT) graph, which
      together form an edge partition of the complete graph. Results: Here we giv
      e a complete characterization in terms of informative and forbidden triples
      that can be read off the three graphs and provide a polynomial time algorith
      m for constructing an evolutionary scenario that explains the graphs, provid
      ed such a scenario exists. While both LDT and PDT graphs are cographs, this
      is not true for the EDT graph in general. We show that every EDT graph is pe
      rfect. While the information about LDT and PDT graphs is necessary to recogn
      ize EDT graphs in polynomial-time for general scenarios, this extra informat
      ion can be dropped in the HGT-free case. However, recognition of EDT graphs
      without knowledge of putative LDT and PDT graphs is NP-complete for general
      scenarios. In contrast, PDT graphs can be recognized in polynomial-time. We
      finally connect the EDT graph to the alternative definitions of orthology th
      at have been proposed for scenarios with horizontal gene transfer. With one
      exception, the corresponding graphs are shown to be colored cographs.
' (1969 chars) authors => array(6 items) 0 => array(3 items) last_name => 'Schaller' (8 chars) first_name => 'David' (5 chars) sorting => 1 (integer) 1 => array(3 items) last_name => 'Hartmann' (8 chars) first_name => 'Tom' (3 chars) sorting => 2 (integer) 2 => array(3 items) last_name => 'Lafond' (6 chars) first_name => 'Manül' (6 chars) sorting => 3 (integer) 3 => array(3 items) last_name => 'Stadler' (7 chars) first_name => 'Peter Florian' (13 chars) sorting => 4 (integer) 4 => array(3 items) last_name => 'Wieseke' (7 chars) first_name => 'Nicolas' (7 chars) sorting => 5 (integer) 5 => array(3 items) last_name => 'Hellmuth' (8 chars) first_name => 'Marc' (4 chars) sorting => 6 (integer) type => '0' (1 chars) keywords => '' (0 chars) year => 2023 (integer) affiliation => 0 (integer) link_paper => 'https://www.researchsquare.com/article/rs-2678762/v1' (52 chars) link_supplements => '' (0 chars) file_published => 0 (integer) journal => '' (0 chars) doi => '10.21203/rs.3.rs-2678762/v1' (27 chars) preprint => '-1' (2 chars)