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Find and classify tetrads and quadruplexes in DNA/RNA 3D structure

Project description

Project description

This is an application to analyze base pairing patterns of DNA/RNA 3D structures to find and classify tetrads and quadruplexes. ElTetrado assigns tetrads to one of the ONZ classes (O, N, Z) alongside with the directionality of the tetrad (+/-) determined by the bonds between bases and their non-canonical interactions. The interactions follow Leontis/Westhof classification (Leontis et al. 2001). Watson-Crick (W) edge of first base in the tetrad structure exposed to the Hoogsteen (H) edge of the next nucleobase from the same tetrad sets the tetrad directionality, clockwise (+) or anticlockwise (-). For more details, please refer to Zok et al. (2020) and Popenda et al. (2020)

Installation

Please run:

pip install eltetrado

If you have both Python 2 and Python 3 installed, you need to explicitly call pip3:

pip3 install eltetrado

Dependencies

The project is written in Python 3.6+ and requires mmcif, orjson, NumPy and requests.

Visualization is created by R 3.6+ script which uses R4RNA (Lai et al. 2012) library. The dependency will be automatically installed if not present.

Base pairs and stacking interactions are identified by BPNet (Roy et al. 2022) hosted as a service, so there is no need for installation or configuration of this component.

Usage

ElTetrado is a command line application, which requires to be provided with --input and a path to a PDB or PDBx/mmCIF file.

By default, ElTetrado outputs textual results on the standard output. A JSON version of the output can be obtained with --output switch followed by a path where the file is supposed to be created.

ElTetrado prepares visualization of the whole structure and of each N4-helices, quadruplexes and tetrads. This can be supplemented with canonical base pairs visualization when --complete-2d is set. All color settings are located in the first several lines of the quadraw.R file, you can easily change them without knowledge of R language. If you want ElTetrado to not visualize anything, pass --no-image switch to it.

usage: eltetrado [-h] [-i INPUT] [-o OUTPUT] [-m MODEL]
                 [--stacking-mismatch STACKING_MISMATCH] [--strict]
                 [--no-reorder] [--complete-2d] [--no-image] [--version]

options:
  -h, --help            show this help message and exit
  -i INPUT, --input INPUT
                        path to input PDB or PDBx/mmCIF file
  -o OUTPUT, --output OUTPUT
                        (optional) path for output JSON file
  -m MODEL, --model MODEL
                        (optional) model number to process
  --stacking-mismatch STACKING_MISMATCH
                        a perfect tetrad stacking covers 4 nucleotides; this
                        option can be used with value 1 or 2 to allow this
                        number of nucleotides to be non-stacked with otherwise
                        well aligned tetrad [default=2]
  --strict              nucleotides in tetrad are found when linked only by
                        cWH pairing
  --no-reorder          chains of bi- and tetramolecular quadruplexes should
                        be reordered to be able to have them classified; when
                        this is set, chains will be processed in original
                        order, which for bi-/tetramolecular means that they
                        will likely be misclassified; use with care!
  --complete-2d         when set, the visualization will also show canonical
                        base pairs to provide context for the quadruplex
  --no-image            when set, the visualization will not be created at all
  --version             show program's version number and exit

Chains reorder

ElTetrado keeps a global and unique 5’-3’ index for every nucleotide which is independent from residue numbers. For example, if a structure has chain M with 60 nucleotides and chain N with 15 nucleotides, then ElTetrado will keep index between 0 and 74 which uniquely identifies every nucleotide. Initially, ElTetrado assigns this indices according to the order of chains in the input file. Therefore, if M preceded N then nucleotides in M will be indexed from 0 to 59 and in N from 60 to 74. Otherwise, nucleotides in N will be indexed from 0 to 14 and in M from 15 to 74.

When --no-reorder is present, this initial assignment is used. Otherwise, ElTetrado exhaustively checks all permutations of chains’ orders. Every permutation check induces recalculation of the global and unique 5’-3’ index and in effect it changes ONZ classification of tetrads.

ElTetrado keeps a table of tetrad classification scores according to these rules:

  • Type preference: O > N > Z
  • Direction preference: + > -

The table keeps low values for preferred classes i.e. O+ is 0, O- is 1 and so on up to Z- with score 5. For every permutation of chain orders, ElTetrado computes sum of scores for tetrads classification induced by 5’-3’ indexing. We select permutation with the minimum value.

Examples

2HY9: Human telomere DNA quadruplex structure in K+ solution hybrid-1 form

$ curl ftp://ftp.wwpdb.org/pub/pdb/data/structures/divided/mmCIF/my/2hy9.cif.gz | gzip -d > 2hy9.cif
$ ./eltetrado --input 2hy9.cif --output 2hy9.json

Chain order: 1
n4-helix with 3 tetrads
  Oh* V,VI 9a -(pll) quadruplex with 3 tetrads
    1.DG4 1.DG22 1.DG18 1.DG10 cWH cWH cWH cWH O- Vb planarity=0.17  
      direction=hybrid rise=3.21 twist=16.23
    1.DG5 1.DG23 1.DG17 1.DG11 cHW cHW cHW cHW O+ Va planarity=0.1  
      direction=hybrid rise=3.11 twist=27.45
    1.DG6 1.DG24 1.DG16 1.DG12 cHW cHW cHW cHW O+ VIa planarity=0.18  

    Tracts:
      1.DG4, 1.DG5, 1.DG6
      1.DG22, 1.DG23, 1.DG24
      1.DG18, 1.DG17, 1.DG16
      1.DG10, 1.DG11, 1.DG12

    Loops:
      propeller- 1.DT7, 1.DT8, 1.DA9
      lateral- 1.DT13, 1.DT14, 1.DA15
      lateral+ 1.DT19, 1.DT20, 1.DA21

AAAGGGTTAGGGTTAGGGTTAGGGAA
...([{...(((...)))...)]}..
...([{...)]}...(((...)))..
Click to see the output JSON
{
  "metals": [],
  "nucleotides": [
    {
      "index": 1,
      "chain": "1",
      "number": 1,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA1",
      "shortName": "A",
      "chi": 22.308282830857802,
      "glycosidicBond": "syn"
    },
    {
      "index": 2,
      "chain": "1",
      "number": 2,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA2",
      "shortName": "A",
      "chi": -123.05454402191421,
      "glycosidicBond": "anti"
    },
    {
      "index": 3,
      "chain": "1",
      "number": 3,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA3",
      "shortName": "A",
      "chi": -94.96579955603106,
      "glycosidicBond": "anti"
    },
    {
      "index": 4,
      "chain": "1",
      "number": 4,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG4",
      "shortName": "G",
      "chi": 79.28363721639316,
      "glycosidicBond": "syn"
    },
    {
      "index": 5,
      "chain": "1",
      "number": 5,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG5",
      "shortName": "G",
      "chi": -126.01709201555563,
      "glycosidicBond": "anti"
    },
    {
      "index": 6,
      "chain": "1",
      "number": 6,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG6",
      "shortName": "G",
      "chi": -127.26656202302102,
      "glycosidicBond": "anti"
    },
    {
      "index": 7,
      "chain": "1",
      "number": 7,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DT7",
      "shortName": "T",
      "chi": -63.10830751967371,
      "glycosidicBond": "syn"
    },
    {
      "index": 8,
      "chain": "1",
      "number": 8,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DT8",
      "shortName": "T",
      "chi": -138.79520345559828,
      "glycosidicBond": "anti"
    },
    {
      "index": 9,
      "chain": "1",
      "number": 9,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA9",
      "shortName": "A",
      "chi": -148.83990757408878,
      "glycosidicBond": "anti"
    },
    {
      "index": 10,
      "chain": "1",
      "number": 10,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG10",
      "shortName": "G",
      "chi": 58.7787525019158,
      "glycosidicBond": "syn"
    },
    {
      "index": 11,
      "chain": "1",
      "number": 11,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG11",
      "shortName": "G",
      "chi": -123.85746807924986,
      "glycosidicBond": "anti"
    },
    {
      "index": 12,
      "chain": "1",
      "number": 12,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG12",
      "shortName": "G",
      "chi": -84.36679807284759,
      "glycosidicBond": "syn"
    },
    {
      "index": 13,
      "chain": "1",
      "number": 13,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DT13",
      "shortName": "T",
      "chi": -30.819029132834157,
      "glycosidicBond": "syn"
    },
    {
      "index": 14,
      "chain": "1",
      "number": 14,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DT14",
      "shortName": "T",
      "chi": -168.51776782812965,
      "glycosidicBond": "anti"
    },
    {
      "index": 15,
      "chain": "1",
      "number": 15,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA15",
      "shortName": "A",
      "chi": -105.72881577106517,
      "glycosidicBond": "anti"
    },
    {
      "index": 16,
      "chain": "1",
      "number": 16,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG16",
      "shortName": "G",
      "chi": 74.3227942181243,
      "glycosidicBond": "syn"
    },
    {
      "index": 17,
      "chain": "1",
      "number": 17,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG17",
      "shortName": "G",
      "chi": 81.08424926936044,
      "glycosidicBond": "syn"
    },
    {
      "index": 18,
      "chain": "1",
      "number": 18,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG18",
      "shortName": "G",
      "chi": -122.90397217111551,
      "glycosidicBond": "anti"
    },
    {
      "index": 19,
      "chain": "1",
      "number": 19,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DT19",
      "shortName": "T",
      "chi": -102.98239337113938,
      "glycosidicBond": "anti"
    },
    {
      "index": 20,
      "chain": "1",
      "number": 20,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DT20",
      "shortName": "T",
      "chi": -112.1514601849715,
      "glycosidicBond": "anti"
    },
    {
      "index": 21,
      "chain": "1",
      "number": 21,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA21",
      "shortName": "A",
      "chi": -89.07113063649612,
      "glycosidicBond": "syn"
    },
    {
      "index": 22,
      "chain": "1",
      "number": 22,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG22",
      "shortName": "G",
      "chi": 83.44318693001902,
      "glycosidicBond": "syn"
    },
    {
      "index": 23,
      "chain": "1",
      "number": 23,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG23",
      "shortName": "G",
      "chi": -115.41210237198398,
      "glycosidicBond": "anti"
    },
    {
      "index": 24,
      "chain": "1",
      "number": 24,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DG24",
      "shortName": "G",
      "chi": -111.14845782593531,
      "glycosidicBond": "anti"
    },
    {
      "index": 25,
      "chain": "1",
      "number": 25,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA25",
      "shortName": "A",
      "chi": -58.323530637551954,
      "glycosidicBond": "syn"
    },
    {
      "index": 26,
      "chain": "1",
      "number": 26,
      "icode": null,
      "molecule": "DNA",
      "fullName": "1.DA26",
      "shortName": "A",
      "chi": -90.84065243137135,
      "glycosidicBond": "anti"
    }
  ],
  "basePairs": [
    {
      "nt1": "1.DA3",
      "nt2": "1.DA9",
      "lw": "tSW"
    },
    {
      "nt1": "1.DG4",
      "nt2": "1.DG10",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG4",
      "nt2": "1.DG22",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG5",
      "nt2": "1.DG11",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG5",
      "nt2": "1.DG23",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG6",
      "nt2": "1.DG12",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG6",
      "nt2": "1.DG24",
      "lw": "cHW"
    },
    {
      "nt1": "1.DA9",
      "nt2": "1.DA3",
      "lw": "tWS"
    },
    {
      "nt1": "1.DG10",
      "nt2": "1.DG4",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG10",
      "nt2": "1.DG18",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG11",
      "nt2": "1.DG5",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG11",
      "nt2": "1.DG17",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG12",
      "nt2": "1.DG6",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG12",
      "nt2": "1.DG16",
      "lw": "cWH"
    },
    {
      "nt1": "1.DT14",
      "nt2": "1.DA25",
      "lw": "tWW"
    },
    {
      "nt1": "1.DG16",
      "nt2": "1.DG12",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG16",
      "nt2": "1.DG24",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG17",
      "nt2": "1.DG11",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG17",
      "nt2": "1.DG23",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG18",
      "nt2": "1.DG10",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG18",
      "nt2": "1.DG22",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG22",
      "nt2": "1.DG4",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG22",
      "nt2": "1.DG18",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG23",
      "nt2": "1.DG5",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG23",
      "nt2": "1.DG17",
      "lw": "cHW"
    },
    {
      "nt1": "1.DG24",
      "nt2": "1.DG6",
      "lw": "cWH"
    },
    {
      "nt1": "1.DG24",
      "nt2": "1.DG16",
      "lw": "cHW"
    },
    {
      "nt1": "1.DA25",
      "nt2": "1.DT14",
      "lw": "tWW"
    }
  ],
  "helices": [
    {
      "quadruplexes": [
        {
          "tetrads": [
            {
              "id": "1.DG4-1.DG22-1.DG18-1.DG10",
              "nt1": "1.DG4",
              "nt2": "1.DG22",
              "nt3": "1.DG18",
              "nt4": "1.DG10",
              "onz": "O-",
              "gbaClassification": "Vb",
              "planarityDeviation": 0.17372283960377805,
              "ionsChannel": [],
              "ionsOutside": []
            },
            {
              "id": "1.DG5-1.DG23-1.DG17-1.DG11",
              "nt1": "1.DG5",
              "nt2": "1.DG23",
              "nt3": "1.DG17",
              "nt4": "1.DG11",
              "onz": "O+",
              "gbaClassification": "Va",
              "planarityDeviation": 0.10474313820007483,
              "ionsChannel": [],
              "ionsOutside": []
            },
            {
              "id": "1.DG6-1.DG24-1.DG16-1.DG12",
              "nt1": "1.DG6",
              "nt2": "1.DG24",
              "nt3": "1.DG16",
              "nt4": "1.DG12",
              "onz": "O+",
              "gbaClassification": "VIa",
              "planarityDeviation": 0.18293509778060615,
              "ionsChannel": [],
              "ionsOutside": []
            }
          ],
          "onzm": "Oh*",
          "loopClassification": {
            "classification": "9a",
            "loop_progression": "-(pll)"
          },
          "gbaClassification": [
            "V",
            "VI"
          ],
          "tracts": [
            [
              "1.DG4",
              "1.DG5",
              "1.DG6"
            ],
            [
              "1.DG22",
              "1.DG23",
              "1.DG24"
            ],
            [
              "1.DG18",
              "1.DG17",
              "1.DG16"
            ],
            [
              "1.DG10",
              "1.DG11",
              "1.DG12"
            ]
          ],
          "loops": [
            {
              "type": "propeller-",
              "nucleotides": [
                "1.DT7",
                "1.DT8",
                "1.DA9"
              ]
            },
            {
              "type": "lateral-",
              "nucleotides": [
                "1.DT13",
                "1.DT14",
                "1.DA15"
              ]
            },
            {
              "type": "lateral+",
              "nucleotides": [
                "1.DT19",
                "1.DT20",
                "1.DA21"
              ]
            }
          ]
        }
      ],
      "tetradPairs": [
        {
          "tetrad1": "1.DG4-1.DG22-1.DG18-1.DG10",
          "tetrad2": "1.DG5-1.DG23-1.DG17-1.DG11",
          "direction": "hybrid",
          "rise": 3.2109650905140654,
          "twist": 16.228973729066034
        },
        {
          "tetrad1": "1.DG5-1.DG23-1.DG17-1.DG11",
          "tetrad2": "1.DG6-1.DG24-1.DG16-1.DG12",
          "direction": "hybrid",
          "rise": 3.1149939255558747,
          "twist": 27.448958336697046
        }
      ]
    }
  ],
  "dotBracket": {
    "sequence": "AAAGGGTTAGGGTTAGGGTTAGGGAA",
    "line1": "...([{...(((...)))...)]}..",
    "line2": "...([{...)]}...(((...))).."
  }
}

4RJ1: Structural variations and solvent structure of UGGGGU quadruplexes stabilized by Sr2+ ions

$ curl https://www.ebi.ac.uk/pdbe/static/entry/download/4rj1-assembly-1.cif.gz | gzip -d > 4rj1-1.cif
$ ./eltetrado --input 4rj1-1.cif --output 4rj1-1.json

Chain order: A AB AA AC B BC BA BB
n4-helix with 10 tetrads
  Op* VIII n/a quadruplex with 5 tetrads
    A.U1006 AC.U1006 AA.U1006 AB.U1006 cWH cWH cWH cWH O- VIIIa planarity=1.06 ions_channel=NA ions_outside=A.U1006: [SR] AA.U1006: [SR] AB.U1006: [SR] AC.U1006: [SR]
      direction=parallel rise=3.37 twist=39.96
    A.G1005 AC.G1005 AA.G1005 AB.G1005 cHW cHW cHW cHW O+ VIIIa planarity=0.8  
      direction=parallel rise=3.31 twist=25.9
    A.G1004 AC.G1004 AA.G1004 AB.G1004 cHW cHW cHW cHW O+ VIIIa planarity=0.41 ions_channel=SR 
      direction=parallel rise=3.34 twist=35.81
    A.G1003 AC.G1003 AA.G1003 AB.G1003 cHW cHW cHW cHW O+ VIIIa planarity=0.55 ions_channel=SR 
      direction=parallel rise=3.29 twist=27.12
    A.G1002 AC.G1002 AA.G1002 AB.G1002 cHW cHW cHW cHW O+ VIIIa planarity=0.54  ions_outside=AB.G1002: [CA] AC.G1002: [CA] AA.G1002: [CA] A.G1002: [CA]

    Tracts:
      A.U1006, A.G1005, A.G1004, A.G1003, A.G1002
      AC.U1006, AC.G1005, AC.G1004, AC.G1003, AC.G1002
      AA.U1006, AA.G1005, AA.G1004, AA.G1003, AA.G1002
      AB.U1006, AB.G1005, AB.G1004, AB.G1003, AB.G1002

  Op* VIII n/a quadruplex with 5 tetrads
    B.G2002 BC.G2002 BA.G2002 BB.G2002 cWH cWH cWH cWH O+ VIIIa planarity=0.67  
      direction=parallel rise=3.37 twist=27.41
    B.G2003 BC.G2003 BA.G2003 BB.G2003 cWH cWH cWH cWH O+ VIIIa planarity=0.58 ions_channel=SR ions_outside=B.G2003: [CA] BA.G2003: [CA] BB.G2003: [CA] BC.G2003: [CA]
      direction=parallel rise=3.32 twist=35.04
    B.G2004 BC.G2004 BA.G2004 BB.G2004 cWH cWH cWH cWH O+ VIIIa planarity=0.23 ions_channel=SR 
      direction=parallel rise=3.27 twist=25.15
    B.G2005 BC.G2005 BA.G2005 BB.G2005 cWH cWH cWH cWH O+ VIIIa planarity=0.78 ions_channel=NA 
      direction=parallel rise=7.14 twist=43.41
    B.U2006 BC.U2006 BA.U2006 BB.U2006 cHW cHW cHW cHW O- VIIIa planarity=1.58 ions_channel=NA,NA 

    Tracts:
      B.G2002, B.G2003, B.G2004, B.G2005, B.U2006
      BC.G2002, BC.G2003, BC.G2004, BC.G2005, BC.U2006
      BA.G2002, BA.G2003, BA.G2004, BA.G2005, BA.U2006
      BB.G2002, BB.G2003, BB.G2004, BB.G2005, BB.U2006

UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU
.([{<A-.([{<A-.)]}>a-.)]}>a-.([{<A-.)]}>a-.([{<A-.)]}>a
.([{<A-.)]}>a-.([{<A-.)]}>a-.([{<A-.([{<A-.)]}>a-.)]}>a
Click to see the output JSON
{
  "metals": [
    {
      "symbol": "Sr",
      "count": 8
    },
    {
      "symbol": "Na",
      "count": 4
    },
    {
      "symbol": "Ca",
      "count": 12
    }
  ],
  "nucleotides": [
    {
      "index": 1,
      "chain": "A",
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          "tetrad1": "B.G2003-BC.G2003-BA.G2003-BB.G2003",
          "tetrad2": "B.G2004-BC.G2004-BA.G2004-BB.G2004",
          "direction": "parallel",
          "rise": 3.318000000000005,
          "twist": 35.04072146975963
        },
        {
          "tetrad1": "B.G2004-BC.G2004-BA.G2004-BB.G2004",
          "tetrad2": "B.G2005-BC.G2005-BA.G2005-BB.G2005",
          "direction": "parallel",
          "rise": 3.2689999999999966,
          "twist": 25.149997949938147
        },
        {
          "tetrad1": "B.G2005-BC.G2005-BA.G2005-BB.G2005",
          "tetrad2": "B.U2006-BC.U2006-BA.U2006-BB.U2006",
          "direction": "parallel",
          "rise": 7.140499999999998,
          "twist": 43.40609492262336
        }
      ]
    }
  ],
  "dotBracket": {
    "sequence": "UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU-UGGGGU",
    "line1": ".([{<A-.([{<A-.)]}>a-.)]}>a-.([{<A-.)]}>a-.([{<A-.)]}>a",
    "line2": ".([{<A-.)]}>a-.([{<A-.)]}>a-.([{<A-.([{<A-.)]}>a-.)]}>a"
  }
}

Funding

This research was supported by the National Science Centre, Poland [2016/23/B/ST6/03931, 2019/35/B/ST6/03074] and Mloda Kadra project [09/91/SBAD/0684] from Poznan University of Technology, and carried out in the European Centre for Bioinformatics and Genomics (Poland). The authors also acknowledge partial support by the statutory funds of Poznan University of Technology, Polish Ministry of Science and Higher Education, and the Institute of Bioorganic Chemistry, PAS within intramural financing program.

Bibliography

  1. Contact Networks in RNA: A Structural Bioinformatics Study with a New Tool. P. Roy, D. Bhattacharyya. Journal of Computer-Aided Molecular Design. 2022. 36(2):131–140. doi:10.1007/s10822-021-00438-x

  2. Topology-Based Classification of Tetrads and Quadruplex Structures. M. Popenda, J. Miskiewicz, J. Sarzynska, T. Zok, M. Szachniuk. Bioinformatics. 2020. 36(4):1129–1134. doi:10.1093/bioinformatics/btz738

  3. ElTetrado: A Tool for Identification and Classification of Tetrads and Quadruplexes. T. Zok, M. Popenda, M. Szachniuk. BMC Bioinformatics. 2020. 21(1):40. doi:10.1186/s12859-020-3385-1

  4. R-Chie : A Web Server and R Package for Visualizing RNA Secondary Structures. D. Lai, J.R. Proctor, J.Y.A. Zhu, I.M. Meyer. Nucleic Acids Research. 2012. 40(12):e95. doi:f99845

  5. Geometric Nomenclature and Classification of RNA Base Pairs. N.B. Leontis, E. Westhof. RNA. 2001. 7(4):499–512. doi:10.1017/s1355838201002515

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