A Model for Branch Competition View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-11-28

AUTHORS

Thomas C. Halsey

ABSTRACT

Branching (or tip-splitting) is a ubiquitous feature of growth processes in nature. We introduce a simple model, linear in growth probabilities, of branch competition that combines tip-splitting processes, local screening, and extinction of branches whose growth has come to an end. This model admits an exact solution; which is corroborated by numerical results. An extension of the model that depends quadratically upon growth probabilities exhibits a phase transition, with non-trivial scaling in the neighborhood of that transition. More... »

PAGES

713-725

References to SciGraph publications

  • 2001-02. Aggregation in the Plane and Loewner's Equation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10955-016-1670-1

    DOI

    http://dx.doi.org/10.1007/s10955-016-1670-1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1034725827


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "ExxonMobil Upstream Research Company, 22777 Springwoods Village Parkway, 77389, Spring, TX, USA", 
              "id": "http://www.grid.ac/institutes/None", 
              "name": [
                "ExxonMobil Upstream Research Company, 22777 Springwoods Village Parkway, 77389, Spring, TX, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Halsey", 
            "givenName": "Thomas C.", 
            "id": "sg:person.07417417117.67", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07417417117.67"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/s002200000340", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032418742", 
              "https://doi.org/10.1007/s002200000340"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-11-28", 
        "datePublishedReg": "2016-11-28", 
        "description": "Branching (or tip-splitting) is a ubiquitous feature of growth processes in nature. We introduce a simple model, linear in growth probabilities, of branch competition that combines tip-splitting processes, local screening, and extinction of branches whose growth has come to an end. This model admits an exact solution; which is corroborated by numerical results. An extension of the model that depends quadratically upon growth probabilities exhibits a phase transition, with non-trivial scaling in the neighborhood of that transition.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/s10955-016-1670-1", 
        "inLanguage": "en", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1040979", 
            "issn": [
              "0022-4715", 
              "1572-9613"
            ], 
            "name": "Journal of Statistical Physics", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3-4", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "167"
          }
        ], 
        "keywords": [
          "branching", 
          "ubiquitous feature", 
          "competition", 
          "extinction", 
          "growth", 
          "exact solution", 
          "numerical results", 
          "non-trivial scaling", 
          "growth process", 
          "process", 
          "simple model", 
          "model", 
          "growth probability", 
          "probability", 
          "screening", 
          "branches", 
          "solution", 
          "extension", 
          "transition", 
          "scaling", 
          "neighborhood", 
          "features", 
          "nature", 
          "end", 
          "results", 
          "phase transition", 
          "local screening", 
          "branch competition", 
          "tip-splitting processes", 
          "extinction of branches"
        ], 
        "name": "A Model for Branch Competition", 
        "pagination": "713-725", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1034725827"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10955-016-1670-1"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10955-016-1670-1", 
          "https://app.dimensions.ai/details/publication/pub.1034725827"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2021-11-01T18:25", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20211101/entities/gbq_results/article/article_685.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/s10955-016-1670-1"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s10955-016-1670-1'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10955-016-1670-1'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10955-016-1670-1'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10955-016-1670-1'


     

    This table displays all metadata directly associated to this object as RDF triples.

    92 TRIPLES      22 PREDICATES      56 URIs      47 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10955-016-1670-1 schema:about anzsrc-for:01
    2 anzsrc-for:02
    3 schema:author N8028a0b3d9bc465e9ca454d54bc8dc10
    4 schema:citation sg:pub.10.1007/s002200000340
    5 schema:datePublished 2016-11-28
    6 schema:datePublishedReg 2016-11-28
    7 schema:description Branching (or tip-splitting) is a ubiquitous feature of growth processes in nature. We introduce a simple model, linear in growth probabilities, of branch competition that combines tip-splitting processes, local screening, and extinction of branches whose growth has come to an end. This model admits an exact solution; which is corroborated by numerical results. An extension of the model that depends quadratically upon growth probabilities exhibits a phase transition, with non-trivial scaling in the neighborhood of that transition.
    8 schema:genre article
    9 schema:inLanguage en
    10 schema:isAccessibleForFree false
    11 schema:isPartOf Nb01ea33fe5d343fb8d3a05ef03ef240a
    12 Ndeb93b2483e04bcb96d6a8a02b7c48cc
    13 sg:journal.1040979
    14 schema:keywords branch competition
    15 branches
    16 branching
    17 competition
    18 end
    19 exact solution
    20 extension
    21 extinction
    22 extinction of branches
    23 features
    24 growth
    25 growth probability
    26 growth process
    27 local screening
    28 model
    29 nature
    30 neighborhood
    31 non-trivial scaling
    32 numerical results
    33 phase transition
    34 probability
    35 process
    36 results
    37 scaling
    38 screening
    39 simple model
    40 solution
    41 tip-splitting processes
    42 transition
    43 ubiquitous feature
    44 schema:name A Model for Branch Competition
    45 schema:pagination 713-725
    46 schema:productId N505d29a5d8024efabaf6cadb70684ec4
    47 N88dd3357a44c4c2b8d8fed74ebeb5547
    48 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034725827
    49 https://doi.org/10.1007/s10955-016-1670-1
    50 schema:sdDatePublished 2021-11-01T18:25
    51 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    52 schema:sdPublisher N36750a3f95234434920453aef96523d1
    53 schema:url https://doi.org/10.1007/s10955-016-1670-1
    54 sgo:license sg:explorer/license/
    55 sgo:sdDataset articles
    56 rdf:type schema:ScholarlyArticle
    57 N36750a3f95234434920453aef96523d1 schema:name Springer Nature - SN SciGraph project
    58 rdf:type schema:Organization
    59 N505d29a5d8024efabaf6cadb70684ec4 schema:name dimensions_id
    60 schema:value pub.1034725827
    61 rdf:type schema:PropertyValue
    62 N8028a0b3d9bc465e9ca454d54bc8dc10 rdf:first sg:person.07417417117.67
    63 rdf:rest rdf:nil
    64 N88dd3357a44c4c2b8d8fed74ebeb5547 schema:name doi
    65 schema:value 10.1007/s10955-016-1670-1
    66 rdf:type schema:PropertyValue
    67 Nb01ea33fe5d343fb8d3a05ef03ef240a schema:issueNumber 3-4
    68 rdf:type schema:PublicationIssue
    69 Ndeb93b2483e04bcb96d6a8a02b7c48cc schema:volumeNumber 167
    70 rdf:type schema:PublicationVolume
    71 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    72 schema:name Mathematical Sciences
    73 rdf:type schema:DefinedTerm
    74 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    75 schema:name Physical Sciences
    76 rdf:type schema:DefinedTerm
    77 sg:journal.1040979 schema:issn 0022-4715
    78 1572-9613
    79 schema:name Journal of Statistical Physics
    80 schema:publisher Springer Nature
    81 rdf:type schema:Periodical
    82 sg:person.07417417117.67 schema:affiliation grid-institutes:None
    83 schema:familyName Halsey
    84 schema:givenName Thomas C.
    85 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07417417117.67
    86 rdf:type schema:Person
    87 sg:pub.10.1007/s002200000340 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032418742
    88 https://doi.org/10.1007/s002200000340
    89 rdf:type schema:CreativeWork
    90 grid-institutes:None schema:alternateName ExxonMobil Upstream Research Company, 22777 Springwoods Village Parkway, 77389, Spring, TX, USA
    91 schema:name ExxonMobil Upstream Research Company, 22777 Springwoods Village Parkway, 77389, Spring, TX, USA
    92 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...