An anisotropic interaction model for simulating fingerprints View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-03-04

AUTHORS

Bertram Düring, Carsten Gottschlich, Stephan Huckemann, Lisa Maria Kreusser, Carola-Bibiane Schönlieb

ABSTRACT

Evidence suggests that both the interaction of so-called Merkel cells and the epidermal stress distribution play an important role in the formation of fingerprint patterns during pregnancy. To model the formation of fingerprint patterns in a biologically meaningful way these patterns have to become stationary. For the creation of synthetic fingerprints it is also very desirable that rescaling the model parameters leads to rescaled distances between the stationary fingerprint ridges. Based on these observations, as well as the model introduced by Kücken and Champod we propose a new model for the formation of fingerprint patterns during pregnancy. In this anisotropic interaction model the interaction forces not only depend on the distance vector between the cells and the model parameters, but additionally on an underlying tensor field, representing a stress field. This dependence on the tensor field leads to complex, anisotropic patterns. We study the resulting stationary patterns both analytically and numerically. In particular, we show that fingerprint patterns can be modeled as stationary solutions by choosing the underlying tensor field appropriately. More... »

PAGES

1-36

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00285-019-01338-3

DOI

http://dx.doi.org/10.1007/s00285-019-01338-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112513871

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/30830268


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/2008/1114", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Paediatrics and Reproductive Medicine", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/11", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Medical and Health Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Sussex", 
          "id": "https://www.grid.ac/institutes/grid.12082.39", 
          "name": [
            "Department of Mathematics, University of Sussex, Pevensey II, BN1 9QH, Brighton, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "D\u00fcring", 
        "givenName": "Bertram", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of G\u00f6ttingen", 
          "id": "https://www.grid.ac/institutes/grid.7450.6", 
          "name": [
            "Institute for Mathematical Stochastics, University of G\u00f6ttingen, Goldschmidtstr. 7, 37077, G\u00f6ttingen, Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Gottschlich", 
        "givenName": "Carsten", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of G\u00f6ttingen", 
          "id": "https://www.grid.ac/institutes/grid.7450.6", 
          "name": [
            "Felix-Bernstein-Institute of Mathematical Statistics in the Biosciences, University of G\u00f6ttingen, Goldschmidtstr. 7, 37077, G\u00f6ttingen, Germany"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Huckemann", 
        "givenName": "Stephan", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Cambridge", 
          "id": "https://www.grid.ac/institutes/grid.5335.0", 
          "name": [
            "Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kreusser", 
        "givenName": "Lisa Maria", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Cambridge", 
          "id": "https://www.grid.ac/institutes/grid.5335.0", 
          "name": [
            "Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sch\u00f6nlieb", 
        "givenName": "Carola-Bibiane", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.mehy.2010.02.011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000210824"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-004-0307-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002654113", 
          "https://doi.org/10.1007/s00205-004-0307-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1145/127719.122750", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005190017"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-015-0852-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006835229", 
          "https://doi.org/10.1007/s00205-015-0852-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-015-0852-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006835229", 
          "https://doi.org/10.1007/s00205-015-0852-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.mcm.2010.03.021", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011686253"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jtbi.2004.12.020", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013563309"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1126/science.1179047", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015005058"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jde.2015.08.048", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016411213"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0031-3203(01)00218-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017594179"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jtbi.2012.10.009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018212624"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/nmat4202", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019840885", 
          "https://doi.org/10.1038/nmat4202"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00220-016-2598-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021153633", 
          "https://doi.org/10.1007/s00220-016-2598-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00220-016-2598-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021153633", 
          "https://doi.org/10.1007/s00220-016-2598-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.jde.2015.08.018", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021850900"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1073/pnas.1410272112", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024410519"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aim.2012.03.036", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025322602"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1028717201", 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-84882-254-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028717201", 
          "https://doi.org/10.1007/978-1-84882-254-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-84882-254-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028717201", 
          "https://doi.org/10.1007/978-1-84882-254-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2011.08.057", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036158762"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/ar.1092320414", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036450256"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1145/122718.122749", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036615462"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1111/1523-1747.ep12665903", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037345784", 
          "https://doi.org/10.1111/1523-1747.ep12665903"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00332-012-9132-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037748138", 
          "https://doi.org/10.1007/s00332-012-9132-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/cne.902440408", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039582062"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1371/journal.pone.0035704", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042721059"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.638", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043126036"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/mma.638", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043126036"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.physd.2012.10.002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044032969"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-005-0386-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044755766", 
          "https://doi.org/10.1007/s00205-005-0386-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-005-0386-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044755766", 
          "https://doi.org/10.1007/s00205-005-0386-1"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.physd.2010.08.003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049010083"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-3806(89)90097-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049683188"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0165-3806(89)90097-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049683188"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00205-013-0644-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052823397", 
          "https://doi.org/10.1007/s00205-013-0644-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1049/iet-bmt.2012.0003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1056818625"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1049/iet-bmt.2013.0065", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1056818678"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0951-7715/22/3/009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059109876"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0951-7715/28/8/2847", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059110459"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.15.319", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060466419"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.15.319", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060466419"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.66.1481", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060839313"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.66.1481", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060839313"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tifs.2009.2033219", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061629661"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tip.2011.2170696", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061643011"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tpami.2007.70826", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061743440"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/090757290", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062856261"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/100804504", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062859232"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202510004921", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062963240"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202511400021", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062963335"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202511400057", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062963338"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202511400069", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062963339"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202515500050", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062963608"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1209/epl/i2004-10161-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064237091"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1215/00127094-2010-211", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064411279"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/dcdsb.2014.19.1227", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071736976"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3934/krm.2008.1.415", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071740758"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4171/rmi/376", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072320675"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4310/cms.2009.v7.n2.a2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072458908"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1077484413", 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202517500324", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1090221120"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0218202518500112", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1092962296"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/icpr.2000.903586", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1093221442"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/ispa.2015.7306036", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1093760448"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/gsm/058", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098710084"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1145/122718.122750", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098881404"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10851-017-0780-y", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1099704960", 
          "https://doi.org/10.1007/s10851-017-0780-y"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://app.dimensions.ai/details/publication/pub.1108460996", 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2019-03-04", 
    "datePublishedReg": "2019-03-04", 
    "description": "Evidence suggests that both the interaction of so-called Merkel cells and the epidermal stress distribution play an important role in the formation of fingerprint patterns during pregnancy. To model the formation of fingerprint patterns in a biologically meaningful way these patterns have to become stationary. For the creation of synthetic fingerprints it is also very desirable that rescaling the model parameters leads to rescaled distances between the stationary fingerprint ridges. Based on these observations, as well as the model introduced by K\u00fccken and Champod we propose a new model for the formation of fingerprint patterns during pregnancy. In this anisotropic interaction model the interaction forces not only depend on the distance vector between the cells and the model parameters, but additionally on an underlying tensor field, representing a stress field. This dependence on the tensor field leads to complex, anisotropic patterns. We study the resulting stationary patterns both analytically and numerically. In particular, we show that fingerprint patterns can be modeled as stationary solutions by choosing the underlying tensor field appropriately.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00285-019-01338-3", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isFundedItemOf": [
      {
        "id": "sg:grant.3956827", 
        "type": "MonetaryGrant"
      }, 
      {
        "id": "sg:grant.4576861", 
        "type": "MonetaryGrant"
      }, 
      {
        "id": "sg:grant.4576864", 
        "type": "MonetaryGrant"
      }
    ], 
    "isPartOf": [
      {
        "id": "sg:journal.1081642", 
        "issn": [
          "0303-6812", 
          "1432-1416"
        ], 
        "name": "Journal of Mathematical Biology", 
        "type": "Periodical"
      }
    ], 
    "name": "An anisotropic interaction model for simulating fingerprints", 
    "pagination": "1-36", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "8b00504948b36c7781583aacc837cb8427a59d6e6954dc29acb0d03cc9ca18aa"
        ]
      }, 
      {
        "name": "pubmed_id", 
        "type": "PropertyValue", 
        "value": [
          "30830268"
        ]
      }, 
      {
        "name": "nlm_unique_id", 
        "type": "PropertyValue", 
        "value": [
          "7502105"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00285-019-01338-3"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1112513871"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00285-019-01338-3", 
      "https://app.dimensions.ai/details/publication/pub.1112513871"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T11:03", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000352_0000000352/records_60354_00000004.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs00285-019-01338-3"
  }
]
 

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/s00285-019-01338-3'

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/s00285-019-01338-3'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00285-019-01338-3'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00285-019-01338-3'


 

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

289 TRIPLES      21 PREDICATES      87 URIs      18 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00285-019-01338-3 schema:about anzsrc-for:11
2 anzsrc-for:1114
3 schema:author N98fcbe0889cc47d8a2a770b10dc7f28d
4 schema:citation sg:pub.10.1007/978-1-84882-254-2
5 sg:pub.10.1007/s00205-004-0307-8
6 sg:pub.10.1007/s00205-005-0386-1
7 sg:pub.10.1007/s00205-013-0644-6
8 sg:pub.10.1007/s00205-015-0852-3
9 sg:pub.10.1007/s00220-016-2598-7
10 sg:pub.10.1007/s00332-012-9132-7
11 sg:pub.10.1007/s10851-017-0780-y
12 sg:pub.10.1038/nmat4202
13 sg:pub.10.1111/1523-1747.ep12665903
14 https://app.dimensions.ai/details/publication/pub.1028717201
15 https://app.dimensions.ai/details/publication/pub.1077484413
16 https://app.dimensions.ai/details/publication/pub.1108460996
17 https://doi.org/10.1002/ar.1092320414
18 https://doi.org/10.1002/cne.902440408
19 https://doi.org/10.1002/mma.638
20 https://doi.org/10.1016/0165-3806(89)90097-7
21 https://doi.org/10.1016/j.aim.2012.03.036
22 https://doi.org/10.1016/j.jde.2015.08.018
23 https://doi.org/10.1016/j.jde.2015.08.048
24 https://doi.org/10.1016/j.jtbi.2004.12.020
25 https://doi.org/10.1016/j.jtbi.2012.10.009
26 https://doi.org/10.1016/j.mcm.2010.03.021
27 https://doi.org/10.1016/j.mehy.2010.02.011
28 https://doi.org/10.1016/j.na.2011.08.057
29 https://doi.org/10.1016/j.physd.2010.08.003
30 https://doi.org/10.1016/j.physd.2012.10.002
31 https://doi.org/10.1016/s0031-3203(01)00218-7
32 https://doi.org/10.1049/iet-bmt.2012.0003
33 https://doi.org/10.1049/iet-bmt.2013.0065
34 https://doi.org/10.1073/pnas.1410272112
35 https://doi.org/10.1088/0951-7715/22/3/009
36 https://doi.org/10.1088/0951-7715/28/8/2847
37 https://doi.org/10.1090/gsm/058
38 https://doi.org/10.1103/physreva.15.319
39 https://doi.org/10.1103/revmodphys.66.1481
40 https://doi.org/10.1109/icpr.2000.903586
41 https://doi.org/10.1109/ispa.2015.7306036
42 https://doi.org/10.1109/tifs.2009.2033219
43 https://doi.org/10.1109/tip.2011.2170696
44 https://doi.org/10.1109/tpami.2007.70826
45 https://doi.org/10.1126/science.1179047
46 https://doi.org/10.1137/090757290
47 https://doi.org/10.1137/100804504
48 https://doi.org/10.1142/s0218202510004921
49 https://doi.org/10.1142/s0218202511400021
50 https://doi.org/10.1142/s0218202511400057
51 https://doi.org/10.1142/s0218202511400069
52 https://doi.org/10.1142/s0218202515500050
53 https://doi.org/10.1142/s0218202517500324
54 https://doi.org/10.1142/s0218202518500112
55 https://doi.org/10.1145/122718.122749
56 https://doi.org/10.1145/122718.122750
57 https://doi.org/10.1145/127719.122750
58 https://doi.org/10.1209/epl/i2004-10161-2
59 https://doi.org/10.1215/00127094-2010-211
60 https://doi.org/10.1371/journal.pone.0035704
61 https://doi.org/10.3934/dcdsb.2014.19.1227
62 https://doi.org/10.3934/krm.2008.1.415
63 https://doi.org/10.4171/rmi/376
64 https://doi.org/10.4310/cms.2009.v7.n2.a2
65 schema:datePublished 2019-03-04
66 schema:datePublishedReg 2019-03-04
67 schema:description Evidence suggests that both the interaction of so-called Merkel cells and the epidermal stress distribution play an important role in the formation of fingerprint patterns during pregnancy. To model the formation of fingerprint patterns in a biologically meaningful way these patterns have to become stationary. For the creation of synthetic fingerprints it is also very desirable that rescaling the model parameters leads to rescaled distances between the stationary fingerprint ridges. Based on these observations, as well as the model introduced by Kücken and Champod we propose a new model for the formation of fingerprint patterns during pregnancy. In this anisotropic interaction model the interaction forces not only depend on the distance vector between the cells and the model parameters, but additionally on an underlying tensor field, representing a stress field. This dependence on the tensor field leads to complex, anisotropic patterns. We study the resulting stationary patterns both analytically and numerically. In particular, we show that fingerprint patterns can be modeled as stationary solutions by choosing the underlying tensor field appropriately.
68 schema:genre research_article
69 schema:inLanguage en
70 schema:isAccessibleForFree false
71 schema:isPartOf sg:journal.1081642
72 schema:name An anisotropic interaction model for simulating fingerprints
73 schema:pagination 1-36
74 schema:productId N0fa97143ed8c4f62bbe0d7e113ba099d
75 Nb924603048f24de4ab718c08da6bf079
76 Nc5030b31492b46b8b0894f6a21f5b95a
77 Ncbb4836f75964b368a69f28aa37f7495
78 Ne92e559aa5b9448e8f53d60c6ffcbca7
79 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112513871
80 https://doi.org/10.1007/s00285-019-01338-3
81 schema:sdDatePublished 2019-04-11T11:03
82 schema:sdLicense https://scigraph.springernature.com/explorer/license/
83 schema:sdPublisher N3eb5e9b1bf9e43ca81fc981908d45e5f
84 schema:url https://link.springer.com/10.1007%2Fs00285-019-01338-3
85 sgo:license sg:explorer/license/
86 sgo:sdDataset articles
87 rdf:type schema:ScholarlyArticle
88 N0fa97143ed8c4f62bbe0d7e113ba099d schema:name dimensions_id
89 schema:value pub.1112513871
90 rdf:type schema:PropertyValue
91 N3eb5e9b1bf9e43ca81fc981908d45e5f schema:name Springer Nature - SN SciGraph project
92 rdf:type schema:Organization
93 N5bc0acc14b1c4d59855afc8bc2cff718 schema:affiliation https://www.grid.ac/institutes/grid.12082.39
94 schema:familyName Düring
95 schema:givenName Bertram
96 rdf:type schema:Person
97 N817ffee53d124c8ab49c4931e4e86a03 schema:affiliation https://www.grid.ac/institutes/grid.5335.0
98 schema:familyName Schönlieb
99 schema:givenName Carola-Bibiane
100 rdf:type schema:Person
101 N8aaf12b3a36646b692cc15b81a5ba5ad rdf:first Nbed922a5e6ad4adf9e5a73ef0afb40e9
102 rdf:rest Nca4d471147a543618c9a5b2abaa1f970
103 N9434829423504922b20740c31849593f schema:affiliation https://www.grid.ac/institutes/grid.7450.6
104 schema:familyName Huckemann
105 schema:givenName Stephan
106 rdf:type schema:Person
107 N98fcbe0889cc47d8a2a770b10dc7f28d rdf:first N5bc0acc14b1c4d59855afc8bc2cff718
108 rdf:rest N8aaf12b3a36646b692cc15b81a5ba5ad
109 Nb7f5d3b581654835b58444ffce99ec7b schema:affiliation https://www.grid.ac/institutes/grid.5335.0
110 schema:familyName Kreusser
111 schema:givenName Lisa Maria
112 rdf:type schema:Person
113 Nb924603048f24de4ab718c08da6bf079 schema:name doi
114 schema:value 10.1007/s00285-019-01338-3
115 rdf:type schema:PropertyValue
116 Nbed922a5e6ad4adf9e5a73ef0afb40e9 schema:affiliation https://www.grid.ac/institutes/grid.7450.6
117 schema:familyName Gottschlich
118 schema:givenName Carsten
119 rdf:type schema:Person
120 Nc46f534e028041e3965a87fe7faf3d0e rdf:first N817ffee53d124c8ab49c4931e4e86a03
121 rdf:rest rdf:nil
122 Nc5030b31492b46b8b0894f6a21f5b95a schema:name readcube_id
123 schema:value 8b00504948b36c7781583aacc837cb8427a59d6e6954dc29acb0d03cc9ca18aa
124 rdf:type schema:PropertyValue
125 Nca4d471147a543618c9a5b2abaa1f970 rdf:first N9434829423504922b20740c31849593f
126 rdf:rest Nf4573874640142aaa3bda84650a2f90c
127 Ncbb4836f75964b368a69f28aa37f7495 schema:name pubmed_id
128 schema:value 30830268
129 rdf:type schema:PropertyValue
130 Ne92e559aa5b9448e8f53d60c6ffcbca7 schema:name nlm_unique_id
131 schema:value 7502105
132 rdf:type schema:PropertyValue
133 Nf4573874640142aaa3bda84650a2f90c rdf:first Nb7f5d3b581654835b58444ffce99ec7b
134 rdf:rest Nc46f534e028041e3965a87fe7faf3d0e
135 anzsrc-for:11 schema:inDefinedTermSet anzsrc-for:
136 schema:name Medical and Health Sciences
137 rdf:type schema:DefinedTerm
138 anzsrc-for:1114 schema:inDefinedTermSet anzsrc-for:
139 schema:name Paediatrics and Reproductive Medicine
140 rdf:type schema:DefinedTerm
141 sg:grant.3956827 http://pending.schema.org/fundedItem sg:pub.10.1007/s00285-019-01338-3
142 rdf:type schema:MonetaryGrant
143 sg:grant.4576861 http://pending.schema.org/fundedItem sg:pub.10.1007/s00285-019-01338-3
144 rdf:type schema:MonetaryGrant
145 sg:grant.4576864 http://pending.schema.org/fundedItem sg:pub.10.1007/s00285-019-01338-3
146 rdf:type schema:MonetaryGrant
147 sg:journal.1081642 schema:issn 0303-6812
148 1432-1416
149 schema:name Journal of Mathematical Biology
150 rdf:type schema:Periodical
151 sg:pub.10.1007/978-1-84882-254-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028717201
152 https://doi.org/10.1007/978-1-84882-254-2
153 rdf:type schema:CreativeWork
154 sg:pub.10.1007/s00205-004-0307-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002654113
155 https://doi.org/10.1007/s00205-004-0307-8
156 rdf:type schema:CreativeWork
157 sg:pub.10.1007/s00205-005-0386-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044755766
158 https://doi.org/10.1007/s00205-005-0386-1
159 rdf:type schema:CreativeWork
160 sg:pub.10.1007/s00205-013-0644-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052823397
161 https://doi.org/10.1007/s00205-013-0644-6
162 rdf:type schema:CreativeWork
163 sg:pub.10.1007/s00205-015-0852-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006835229
164 https://doi.org/10.1007/s00205-015-0852-3
165 rdf:type schema:CreativeWork
166 sg:pub.10.1007/s00220-016-2598-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021153633
167 https://doi.org/10.1007/s00220-016-2598-7
168 rdf:type schema:CreativeWork
169 sg:pub.10.1007/s00332-012-9132-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037748138
170 https://doi.org/10.1007/s00332-012-9132-7
171 rdf:type schema:CreativeWork
172 sg:pub.10.1007/s10851-017-0780-y schema:sameAs https://app.dimensions.ai/details/publication/pub.1099704960
173 https://doi.org/10.1007/s10851-017-0780-y
174 rdf:type schema:CreativeWork
175 sg:pub.10.1038/nmat4202 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019840885
176 https://doi.org/10.1038/nmat4202
177 rdf:type schema:CreativeWork
178 sg:pub.10.1111/1523-1747.ep12665903 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037345784
179 https://doi.org/10.1111/1523-1747.ep12665903
180 rdf:type schema:CreativeWork
181 https://app.dimensions.ai/details/publication/pub.1028717201 schema:CreativeWork
182 https://app.dimensions.ai/details/publication/pub.1077484413 schema:CreativeWork
183 https://app.dimensions.ai/details/publication/pub.1108460996 schema:CreativeWork
184 https://doi.org/10.1002/ar.1092320414 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036450256
185 rdf:type schema:CreativeWork
186 https://doi.org/10.1002/cne.902440408 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039582062
187 rdf:type schema:CreativeWork
188 https://doi.org/10.1002/mma.638 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043126036
189 rdf:type schema:CreativeWork
190 https://doi.org/10.1016/0165-3806(89)90097-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049683188
191 rdf:type schema:CreativeWork
192 https://doi.org/10.1016/j.aim.2012.03.036 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025322602
193 rdf:type schema:CreativeWork
194 https://doi.org/10.1016/j.jde.2015.08.018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021850900
195 rdf:type schema:CreativeWork
196 https://doi.org/10.1016/j.jde.2015.08.048 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016411213
197 rdf:type schema:CreativeWork
198 https://doi.org/10.1016/j.jtbi.2004.12.020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013563309
199 rdf:type schema:CreativeWork
200 https://doi.org/10.1016/j.jtbi.2012.10.009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018212624
201 rdf:type schema:CreativeWork
202 https://doi.org/10.1016/j.mcm.2010.03.021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011686253
203 rdf:type schema:CreativeWork
204 https://doi.org/10.1016/j.mehy.2010.02.011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000210824
205 rdf:type schema:CreativeWork
206 https://doi.org/10.1016/j.na.2011.08.057 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036158762
207 rdf:type schema:CreativeWork
208 https://doi.org/10.1016/j.physd.2010.08.003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049010083
209 rdf:type schema:CreativeWork
210 https://doi.org/10.1016/j.physd.2012.10.002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044032969
211 rdf:type schema:CreativeWork
212 https://doi.org/10.1016/s0031-3203(01)00218-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017594179
213 rdf:type schema:CreativeWork
214 https://doi.org/10.1049/iet-bmt.2012.0003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056818625
215 rdf:type schema:CreativeWork
216 https://doi.org/10.1049/iet-bmt.2013.0065 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056818678
217 rdf:type schema:CreativeWork
218 https://doi.org/10.1073/pnas.1410272112 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024410519
219 rdf:type schema:CreativeWork
220 https://doi.org/10.1088/0951-7715/22/3/009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059109876
221 rdf:type schema:CreativeWork
222 https://doi.org/10.1088/0951-7715/28/8/2847 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059110459
223 rdf:type schema:CreativeWork
224 https://doi.org/10.1090/gsm/058 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098710084
225 rdf:type schema:CreativeWork
226 https://doi.org/10.1103/physreva.15.319 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060466419
227 rdf:type schema:CreativeWork
228 https://doi.org/10.1103/revmodphys.66.1481 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060839313
229 rdf:type schema:CreativeWork
230 https://doi.org/10.1109/icpr.2000.903586 schema:sameAs https://app.dimensions.ai/details/publication/pub.1093221442
231 rdf:type schema:CreativeWork
232 https://doi.org/10.1109/ispa.2015.7306036 schema:sameAs https://app.dimensions.ai/details/publication/pub.1093760448
233 rdf:type schema:CreativeWork
234 https://doi.org/10.1109/tifs.2009.2033219 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061629661
235 rdf:type schema:CreativeWork
236 https://doi.org/10.1109/tip.2011.2170696 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061643011
237 rdf:type schema:CreativeWork
238 https://doi.org/10.1109/tpami.2007.70826 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061743440
239 rdf:type schema:CreativeWork
240 https://doi.org/10.1126/science.1179047 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015005058
241 rdf:type schema:CreativeWork
242 https://doi.org/10.1137/090757290 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062856261
243 rdf:type schema:CreativeWork
244 https://doi.org/10.1137/100804504 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062859232
245 rdf:type schema:CreativeWork
246 https://doi.org/10.1142/s0218202510004921 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062963240
247 rdf:type schema:CreativeWork
248 https://doi.org/10.1142/s0218202511400021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062963335
249 rdf:type schema:CreativeWork
250 https://doi.org/10.1142/s0218202511400057 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062963338
251 rdf:type schema:CreativeWork
252 https://doi.org/10.1142/s0218202511400069 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062963339
253 rdf:type schema:CreativeWork
254 https://doi.org/10.1142/s0218202515500050 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062963608
255 rdf:type schema:CreativeWork
256 https://doi.org/10.1142/s0218202517500324 schema:sameAs https://app.dimensions.ai/details/publication/pub.1090221120
257 rdf:type schema:CreativeWork
258 https://doi.org/10.1142/s0218202518500112 schema:sameAs https://app.dimensions.ai/details/publication/pub.1092962296
259 rdf:type schema:CreativeWork
260 https://doi.org/10.1145/122718.122749 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036615462
261 rdf:type schema:CreativeWork
262 https://doi.org/10.1145/122718.122750 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098881404
263 rdf:type schema:CreativeWork
264 https://doi.org/10.1145/127719.122750 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005190017
265 rdf:type schema:CreativeWork
266 https://doi.org/10.1209/epl/i2004-10161-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064237091
267 rdf:type schema:CreativeWork
268 https://doi.org/10.1215/00127094-2010-211 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064411279
269 rdf:type schema:CreativeWork
270 https://doi.org/10.1371/journal.pone.0035704 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042721059
271 rdf:type schema:CreativeWork
272 https://doi.org/10.3934/dcdsb.2014.19.1227 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071736976
273 rdf:type schema:CreativeWork
274 https://doi.org/10.3934/krm.2008.1.415 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071740758
275 rdf:type schema:CreativeWork
276 https://doi.org/10.4171/rmi/376 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072320675
277 rdf:type schema:CreativeWork
278 https://doi.org/10.4310/cms.2009.v7.n2.a2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072458908
279 rdf:type schema:CreativeWork
280 https://www.grid.ac/institutes/grid.12082.39 schema:alternateName University of Sussex
281 schema:name Department of Mathematics, University of Sussex, Pevensey II, BN1 9QH, Brighton, UK
282 rdf:type schema:Organization
283 https://www.grid.ac/institutes/grid.5335.0 schema:alternateName University of Cambridge
284 schema:name Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK
285 rdf:type schema:Organization
286 https://www.grid.ac/institutes/grid.7450.6 schema:alternateName University of Göttingen
287 schema:name Felix-Bernstein-Institute of Mathematical Statistics in the Biosciences, University of Göttingen, Goldschmidtstr. 7, 37077, Göttingen, Germany
288 Institute for Mathematical Stochastics, University of Göttingen, Goldschmidtstr. 7, 37077, Göttingen, Germany
289 rdf:type schema:Organization
 




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


...