A new bell-shaped function for idiotypic interactions based on cross-linking View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1996-03

AUTHORS

Rob J. de Boer, Maarten C. Boerlijst, Bernhard Sulzer, Alan S. Perelson

ABSTRACT

Most recent models of the immune network are based upon a phenomenological log bell-shaped interaction function. This function depends on a single parameter, the “field”, which is the sum of all ligand concentrations weighted by their respective affinities. The typical behavior of these models is dominated by percolation, a phenomenon in which a local stimulus spreads globally throughout the network.The usual reason for employing a log bell-shaped interaction function is that B cells are activated by cross-linking of their surface immunoglobulin receptors. Here we formally derive a new phenomenological log bell-shaped function from the chemistry of receptor cross-linking by bivalent ligand. Specifying how this new function depends on the ligand concentrations requires two fields: a binding field and a cross-linking field.When we compare the activation functions for ligand-receptor pairs with different affinities, the one-field and the two-field functions differ markedly. In the case of the one-field activation function, its graph is shifted to increasingly higher concentration as the affinity decreases but keeps its width and height. In the case of the two-field activation function, the graph of a low-affinity interaction is nested within the graphs of all higher-affinity interactions.We show that this difference in the relations among activation functions for different affinities radically changes the network behavior. In models that described B cell proliferation using the one-field activation function, network behavior was dominated by low-affinity interactions. Conversely, in our new model, the high-affinity interactions are the most significant. As a consequence, percolation is no longer the only typical network behavior. More... »

PAGES

285-312

References to SciGraph publications

  • 1989. Unreasonable implications of reasonable idiotypic network assumptions in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1993-11. Memory in idiotypic networks due to competition between proliferation and differentiation in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1995-01. Memory capacity in large idiotypic networks in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1993. Immune network behavior—I. From stationary states to limit cycle oscillations in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1989. Memory but no suppression in low-dimensional symmetric idiotypic networks in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1993-11. Memory in idiotypic networks due to competition between proliferation and differentiation in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1980-11. Tolerance as an active process in NATURE
  • 1993-11. A cayley tree immune network model with antibody dynamics in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1992-09. Dynamics and topology of idiotypic networks in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1989-05. Unreasonable implications of reasonable idiotypic network assumptions in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1980. On Network Theory and H-2 Restriction in CONTEMPORARY TOPICS IN IMMUNOBIOLOGY
  • 1995-01. Memory capacity in large idiotypic networks in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1992-01. Window automata analysis of population dynamics in the immune system in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1992-09. Dynamics and topology of idiotypic networks in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1993. Immune network behavior—II. From oscillations to chaos and stationary states in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1992. Window automata analysis of population dynamics in the immune system in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1993-07. Immune network behavior—II. From oscillations to chaos and stationary states in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1993-07. Immune network behavior—I. From stationary states to limit cycle oscilations in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1993-11. A Cayley tree immune network model with antibody dynamics in BULLETIN OF MATHEMATICAL BIOLOGY
  • 1989-03. Memory but no suppression in low-dimensional symmetric idiotypic networks in BULLETIN OF MATHEMATICAL BIOLOGY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02458310

    DOI

    http://dx.doi.org/10.1007/bf02458310

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1020673669

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/8713661


    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/2008/06", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Biological Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Animals", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "B-Lymphocytes", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Humans", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Immunoglobulin Idiotypes", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Ligands", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Mathematics", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Models, Immunological", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Normal Distribution", 
            "type": "DefinedTerm"
          }, 
          {
            "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
            "name": "Receptors, Immunologic", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Theoretical Biology, Utrecht University, Padualaan 8, 3584 CH, Utrecht, The Netherlands", 
              "id": "http://www.grid.ac/institutes/grid.5477.1", 
              "name": [
                "Theoretical Biology, Utrecht University, Padualaan 8, 3584 CH, Utrecht, The Netherlands"
              ], 
              "type": "Organization"
            }, 
            "familyName": "de Boer", 
            "givenName": "Rob J.", 
            "id": "sg:person.0774503452.97", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0774503452.97"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Zoology, Oxford University, S. Parks Road, OX1 3PS, Oxford, UK", 
              "id": "http://www.grid.ac/institutes/grid.4991.5", 
              "name": [
                "Department of Zoology, Oxford University, S. Parks Road, OX1 3PS, Oxford, UK"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Boerlijst", 
            "givenName": "Maarten C.", 
            "id": "sg:person.01320540311.03", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01320540311.03"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Theoretical Division, MS-K710, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA", 
              "id": "http://www.grid.ac/institutes/grid.148313.c", 
              "name": [
                "Theoretical Division, MS-K710, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Sulzer", 
            "givenName": "Bernhard", 
            "id": "sg:person.0607303464.35", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0607303464.35"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Theoretical Division, MS-K710, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA", 
              "id": "http://www.grid.ac/institutes/grid.148313.c", 
              "name": [
                "Theoretical Division, MS-K710, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Perelson", 
            "givenName": "Alan S.", 
            "id": "sg:person.01335541022.50", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01335541022.50"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/978-1-4684-3701-0_6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014960402", 
              "https://doi.org/10.1007/978-1-4684-3701-0_6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02460702", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023602042", 
              "https://doi.org/10.1007/bf02460702"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(05)80139-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054613644", 
              "https://doi.org/10.1016/s0092-8240(05)80139-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(89)80083-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054614987", 
              "https://doi.org/10.1016/s0092-8240(89)80083-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02460115", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017644408", 
              "https://doi.org/10.1007/bf02460115"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02459926", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006877224", 
              "https://doi.org/10.1007/bf02459926"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(05)80188-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054613693", 
              "https://doi.org/10.1016/s0092-8240(05)80188-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1038/288385a0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044257137", 
              "https://doi.org/10.1038/288385a0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02460701", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012319078", 
              "https://doi.org/10.1007/bf02460701"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(05)80174-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054613679", 
              "https://doi.org/10.1016/s0092-8240(05)80174-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02458319", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031859654", 
              "https://doi.org/10.1007/bf02458319"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02458444", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001691997", 
              "https://doi.org/10.1007/bf02458444"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(05)80167-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054613672", 
              "https://doi.org/10.1016/s0092-8240(05)80167-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(05)80168-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054613673", 
              "https://doi.org/10.1016/s0092-8240(05)80168-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02458618", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001840838", 
              "https://doi.org/10.1007/bf02458618"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/0092-8240(94)00027-a", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054549848", 
              "https://doi.org/10.1016/0092-8240(94)00027-a"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(05)80189-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054613694", 
              "https://doi.org/10.1016/s0092-8240(05)80189-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02460672", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034931480", 
              "https://doi.org/10.1007/bf02460672"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02460673", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040077929", 
              "https://doi.org/10.1007/bf02460673"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1016/s0092-8240(89)80070-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1054614974", 
              "https://doi.org/10.1016/s0092-8240(89)80070-9"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1996-03", 
        "datePublishedReg": "1996-03-01", 
        "description": "Most recent models of the immune network are based upon a phenomenological log bell-shaped interaction function. This function depends on a single parameter, the \u201cfield\u201d, which is the sum of all ligand concentrations weighted by their respective affinities. The typical behavior of these models is dominated by percolation, a phenomenon in which a local stimulus spreads globally throughout the network.The usual reason for employing a log bell-shaped interaction function is that B cells are activated by cross-linking of their surface immunoglobulin receptors. Here we formally derive a new phenomenological log bell-shaped function from the chemistry of receptor cross-linking by bivalent ligand. Specifying how this new function depends on the ligand concentrations requires two fields: a binding field and a cross-linking field.When we compare the activation functions for ligand-receptor pairs with different affinities, the one-field and the two-field functions differ markedly. In the case of the one-field activation function, its graph is shifted to increasingly higher concentration as the affinity decreases but keeps its width and height. In the case of the two-field activation function, the graph of a low-affinity interaction is nested within the graphs of all higher-affinity interactions.We show that this difference in the relations among activation functions for different affinities radically changes the network behavior. In models that described B cell proliferation using the one-field activation function, network behavior was dominated by low-affinity interactions. Conversely, in our new model, the high-affinity interactions are the most significant. As a consequence, percolation is no longer the only typical network behavior.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/bf02458310", 
        "isAccessibleForFree": true, 
        "isFundedItemOf": [
          {
            "id": "sg:grant.2564417", 
            "type": "MonetaryGrant"
          }
        ], 
        "isPartOf": [
          {
            "id": "sg:journal.1018370", 
            "issn": [
              "0092-8240", 
              "1522-9602"
            ], 
            "name": "Bulletin of Mathematical Biology", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "58"
          }
        ], 
        "keywords": [
          "surface immunoglobulin receptors", 
          "B cell proliferation", 
          "B cells", 
          "immunoglobulin receptor", 
          "low-affinity interactions", 
          "ligand-receptor pairs", 
          "high-affinity interaction", 
          "cell proliferation", 
          "idiotypic interactions", 
          "local stimuli", 
          "receptors", 
          "immune network", 
          "respective affinities", 
          "usual reason", 
          "bivalent ligands", 
          "different affinities", 
          "cases", 
          "high concentrations", 
          "proliferation", 
          "function", 
          "concentration", 
          "affinity", 
          "stimuli", 
          "cells", 
          "differences", 
          "ligand concentration", 
          "consequences", 
          "model", 
          "reasons", 
          "ligands", 
          "interaction", 
          "behavior", 
          "new functions", 
          "one-field", 
          "height", 
          "relation", 
          "single parameter", 
          "parameters", 
          "new model", 
          "bell-shaped function", 
          "recent models", 
          "field", 
          "sum", 
          "phenomenon", 
          "bell", 
          "activation function", 
          "pairs", 
          "network", 
          "interaction function", 
          "width", 
          "network behavior", 
          "typical behavior", 
          "most recent models", 
          "chemistry", 
          "percolation", 
          "graph", 
          "typical network behavior"
        ], 
        "name": "A new bell-shaped function for idiotypic interactions based on cross-linking", 
        "pagination": "285-312", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1020673669"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf02458310"
            ]
          }, 
          {
            "name": "pubmed_id", 
            "type": "PropertyValue", 
            "value": [
              "8713661"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf02458310", 
          "https://app.dimensions.ai/details/publication/pub.1020673669"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-09-02T15:47", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220902/entities/gbq_results/article/article_287.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/bf02458310"
      }
    ]
     

    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/bf02458310'

    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/bf02458310'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02458310'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02458310'


     

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

    263 TRIPLES      21 PREDICATES      112 URIs      84 LITERALS      16 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf02458310 schema:about N1e14024c0cd542ffbcf10da227626904
    2 N27da1936087644439f3fb8092e387804
    3 N3734c5f72485403ba2e933d998f5bfd7
    4 N6d31470ef49d4f72a74e04b55499b65f
    5 N8dc70309969645878e93efc3ed572601
    6 Nc1b75bc3454c48c38e1b46f60075c0f3
    7 Nc59b2465b24e4939b14b827fcea8ef79
    8 Nd50e7e4064ab46d8842c51374863ae82
    9 Nea7d5a805dc341548e8b73af917a3fed
    10 anzsrc-for:01
    11 anzsrc-for:06
    12 schema:author N5861878dd78b4d5e84822b34842b168a
    13 schema:citation sg:pub.10.1007/978-1-4684-3701-0_6
    14 sg:pub.10.1007/bf02458319
    15 sg:pub.10.1007/bf02458444
    16 sg:pub.10.1007/bf02458618
    17 sg:pub.10.1007/bf02459926
    18 sg:pub.10.1007/bf02460115
    19 sg:pub.10.1007/bf02460672
    20 sg:pub.10.1007/bf02460673
    21 sg:pub.10.1007/bf02460701
    22 sg:pub.10.1007/bf02460702
    23 sg:pub.10.1016/0092-8240(94)00027-a
    24 sg:pub.10.1016/s0092-8240(05)80139-9
    25 sg:pub.10.1016/s0092-8240(05)80167-3
    26 sg:pub.10.1016/s0092-8240(05)80168-5
    27 sg:pub.10.1016/s0092-8240(05)80174-0
    28 sg:pub.10.1016/s0092-8240(05)80188-0
    29 sg:pub.10.1016/s0092-8240(05)80189-2
    30 sg:pub.10.1016/s0092-8240(89)80070-9
    31 sg:pub.10.1016/s0092-8240(89)80083-7
    32 sg:pub.10.1038/288385a0
    33 schema:datePublished 1996-03
    34 schema:datePublishedReg 1996-03-01
    35 schema:description Most recent models of the immune network are based upon a phenomenological log bell-shaped interaction function. This function depends on a single parameter, the “field”, which is the sum of all ligand concentrations weighted by their respective affinities. The typical behavior of these models is dominated by percolation, a phenomenon in which a local stimulus spreads globally throughout the network.The usual reason for employing a log bell-shaped interaction function is that B cells are activated by cross-linking of their surface immunoglobulin receptors. Here we formally derive a new phenomenological log bell-shaped function from the chemistry of receptor cross-linking by bivalent ligand. Specifying how this new function depends on the ligand concentrations requires two fields: a binding field and a cross-linking field.When we compare the activation functions for ligand-receptor pairs with different affinities, the one-field and the two-field functions differ markedly. In the case of the one-field activation function, its graph is shifted to increasingly higher concentration as the affinity decreases but keeps its width and height. In the case of the two-field activation function, the graph of a low-affinity interaction is nested within the graphs of all higher-affinity interactions.We show that this difference in the relations among activation functions for different affinities radically changes the network behavior. In models that described B cell proliferation using the one-field activation function, network behavior was dominated by low-affinity interactions. Conversely, in our new model, the high-affinity interactions are the most significant. As a consequence, percolation is no longer the only typical network behavior.
    36 schema:genre article
    37 schema:isAccessibleForFree true
    38 schema:isPartOf N5877f8ac16474c19a239bb0775ceeb82
    39 N65bfd500ba014961b6bd34852ce99836
    40 sg:journal.1018370
    41 schema:keywords B cell proliferation
    42 B cells
    43 activation function
    44 affinity
    45 behavior
    46 bell
    47 bell-shaped function
    48 bivalent ligands
    49 cases
    50 cell proliferation
    51 cells
    52 chemistry
    53 concentration
    54 consequences
    55 differences
    56 different affinities
    57 field
    58 function
    59 graph
    60 height
    61 high concentrations
    62 high-affinity interaction
    63 idiotypic interactions
    64 immune network
    65 immunoglobulin receptor
    66 interaction
    67 interaction function
    68 ligand concentration
    69 ligand-receptor pairs
    70 ligands
    71 local stimuli
    72 low-affinity interactions
    73 model
    74 most recent models
    75 network
    76 network behavior
    77 new functions
    78 new model
    79 one-field
    80 pairs
    81 parameters
    82 percolation
    83 phenomenon
    84 proliferation
    85 reasons
    86 recent models
    87 receptors
    88 relation
    89 respective affinities
    90 single parameter
    91 stimuli
    92 sum
    93 surface immunoglobulin receptors
    94 typical behavior
    95 typical network behavior
    96 usual reason
    97 width
    98 schema:name A new bell-shaped function for idiotypic interactions based on cross-linking
    99 schema:pagination 285-312
    100 schema:productId N2e26e498a78b4b59b8b6ca6df828772e
    101 N6630e8727f1a4cb7bdd00561b62eb35b
    102 Nf5615d4a59af4b0e81c532d304f76089
    103 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020673669
    104 https://doi.org/10.1007/bf02458310
    105 schema:sdDatePublished 2022-09-02T15:47
    106 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    107 schema:sdPublisher N7720a7109aea4e8d98e370164d5defcc
    108 schema:url https://doi.org/10.1007/bf02458310
    109 sgo:license sg:explorer/license/
    110 sgo:sdDataset articles
    111 rdf:type schema:ScholarlyArticle
    112 N1e14024c0cd542ffbcf10da227626904 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    113 schema:name Mathematics
    114 rdf:type schema:DefinedTerm
    115 N27da1936087644439f3fb8092e387804 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    116 schema:name B-Lymphocytes
    117 rdf:type schema:DefinedTerm
    118 N2e26e498a78b4b59b8b6ca6df828772e schema:name pubmed_id
    119 schema:value 8713661
    120 rdf:type schema:PropertyValue
    121 N3734c5f72485403ba2e933d998f5bfd7 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    122 schema:name Receptors, Immunologic
    123 rdf:type schema:DefinedTerm
    124 N3cb78a9b5a3c4053a47671ddf9d43514 rdf:first sg:person.01335541022.50
    125 rdf:rest rdf:nil
    126 N5861878dd78b4d5e84822b34842b168a rdf:first sg:person.0774503452.97
    127 rdf:rest Nfded5f3bab61402597210bab1887d01a
    128 N5877f8ac16474c19a239bb0775ceeb82 schema:volumeNumber 58
    129 rdf:type schema:PublicationVolume
    130 N62a4c754609441b98d17bf0f7a42f50e rdf:first sg:person.0607303464.35
    131 rdf:rest N3cb78a9b5a3c4053a47671ddf9d43514
    132 N65bfd500ba014961b6bd34852ce99836 schema:issueNumber 2
    133 rdf:type schema:PublicationIssue
    134 N6630e8727f1a4cb7bdd00561b62eb35b schema:name dimensions_id
    135 schema:value pub.1020673669
    136 rdf:type schema:PropertyValue
    137 N6d31470ef49d4f72a74e04b55499b65f schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    138 schema:name Humans
    139 rdf:type schema:DefinedTerm
    140 N7720a7109aea4e8d98e370164d5defcc schema:name Springer Nature - SN SciGraph project
    141 rdf:type schema:Organization
    142 N8dc70309969645878e93efc3ed572601 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    143 schema:name Ligands
    144 rdf:type schema:DefinedTerm
    145 Nc1b75bc3454c48c38e1b46f60075c0f3 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    146 schema:name Animals
    147 rdf:type schema:DefinedTerm
    148 Nc59b2465b24e4939b14b827fcea8ef79 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    149 schema:name Immunoglobulin Idiotypes
    150 rdf:type schema:DefinedTerm
    151 Nd50e7e4064ab46d8842c51374863ae82 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    152 schema:name Normal Distribution
    153 rdf:type schema:DefinedTerm
    154 Nea7d5a805dc341548e8b73af917a3fed schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
    155 schema:name Models, Immunological
    156 rdf:type schema:DefinedTerm
    157 Nf5615d4a59af4b0e81c532d304f76089 schema:name doi
    158 schema:value 10.1007/bf02458310
    159 rdf:type schema:PropertyValue
    160 Nfded5f3bab61402597210bab1887d01a rdf:first sg:person.01320540311.03
    161 rdf:rest N62a4c754609441b98d17bf0f7a42f50e
    162 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    163 schema:name Mathematical Sciences
    164 rdf:type schema:DefinedTerm
    165 anzsrc-for:06 schema:inDefinedTermSet anzsrc-for:
    166 schema:name Biological Sciences
    167 rdf:type schema:DefinedTerm
    168 sg:grant.2564417 http://pending.schema.org/fundedItem sg:pub.10.1007/bf02458310
    169 rdf:type schema:MonetaryGrant
    170 sg:journal.1018370 schema:issn 0092-8240
    171 1522-9602
    172 schema:name Bulletin of Mathematical Biology
    173 schema:publisher Springer Nature
    174 rdf:type schema:Periodical
    175 sg:person.01320540311.03 schema:affiliation grid-institutes:grid.4991.5
    176 schema:familyName Boerlijst
    177 schema:givenName Maarten C.
    178 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01320540311.03
    179 rdf:type schema:Person
    180 sg:person.01335541022.50 schema:affiliation grid-institutes:grid.148313.c
    181 schema:familyName Perelson
    182 schema:givenName Alan S.
    183 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01335541022.50
    184 rdf:type schema:Person
    185 sg:person.0607303464.35 schema:affiliation grid-institutes:grid.148313.c
    186 schema:familyName Sulzer
    187 schema:givenName Bernhard
    188 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0607303464.35
    189 rdf:type schema:Person
    190 sg:person.0774503452.97 schema:affiliation grid-institutes:grid.5477.1
    191 schema:familyName de Boer
    192 schema:givenName Rob J.
    193 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0774503452.97
    194 rdf:type schema:Person
    195 sg:pub.10.1007/978-1-4684-3701-0_6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014960402
    196 https://doi.org/10.1007/978-1-4684-3701-0_6
    197 rdf:type schema:CreativeWork
    198 sg:pub.10.1007/bf02458319 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031859654
    199 https://doi.org/10.1007/bf02458319
    200 rdf:type schema:CreativeWork
    201 sg:pub.10.1007/bf02458444 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001691997
    202 https://doi.org/10.1007/bf02458444
    203 rdf:type schema:CreativeWork
    204 sg:pub.10.1007/bf02458618 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001840838
    205 https://doi.org/10.1007/bf02458618
    206 rdf:type schema:CreativeWork
    207 sg:pub.10.1007/bf02459926 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006877224
    208 https://doi.org/10.1007/bf02459926
    209 rdf:type schema:CreativeWork
    210 sg:pub.10.1007/bf02460115 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017644408
    211 https://doi.org/10.1007/bf02460115
    212 rdf:type schema:CreativeWork
    213 sg:pub.10.1007/bf02460672 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034931480
    214 https://doi.org/10.1007/bf02460672
    215 rdf:type schema:CreativeWork
    216 sg:pub.10.1007/bf02460673 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040077929
    217 https://doi.org/10.1007/bf02460673
    218 rdf:type schema:CreativeWork
    219 sg:pub.10.1007/bf02460701 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012319078
    220 https://doi.org/10.1007/bf02460701
    221 rdf:type schema:CreativeWork
    222 sg:pub.10.1007/bf02460702 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023602042
    223 https://doi.org/10.1007/bf02460702
    224 rdf:type schema:CreativeWork
    225 sg:pub.10.1016/0092-8240(94)00027-a schema:sameAs https://app.dimensions.ai/details/publication/pub.1054549848
    226 https://doi.org/10.1016/0092-8240(94)00027-a
    227 rdf:type schema:CreativeWork
    228 sg:pub.10.1016/s0092-8240(05)80139-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054613644
    229 https://doi.org/10.1016/s0092-8240(05)80139-9
    230 rdf:type schema:CreativeWork
    231 sg:pub.10.1016/s0092-8240(05)80167-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054613672
    232 https://doi.org/10.1016/s0092-8240(05)80167-3
    233 rdf:type schema:CreativeWork
    234 sg:pub.10.1016/s0092-8240(05)80168-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054613673
    235 https://doi.org/10.1016/s0092-8240(05)80168-5
    236 rdf:type schema:CreativeWork
    237 sg:pub.10.1016/s0092-8240(05)80174-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054613679
    238 https://doi.org/10.1016/s0092-8240(05)80174-0
    239 rdf:type schema:CreativeWork
    240 sg:pub.10.1016/s0092-8240(05)80188-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054613693
    241 https://doi.org/10.1016/s0092-8240(05)80188-0
    242 rdf:type schema:CreativeWork
    243 sg:pub.10.1016/s0092-8240(05)80189-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054613694
    244 https://doi.org/10.1016/s0092-8240(05)80189-2
    245 rdf:type schema:CreativeWork
    246 sg:pub.10.1016/s0092-8240(89)80070-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054614974
    247 https://doi.org/10.1016/s0092-8240(89)80070-9
    248 rdf:type schema:CreativeWork
    249 sg:pub.10.1016/s0092-8240(89)80083-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054614987
    250 https://doi.org/10.1016/s0092-8240(89)80083-7
    251 rdf:type schema:CreativeWork
    252 sg:pub.10.1038/288385a0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044257137
    253 https://doi.org/10.1038/288385a0
    254 rdf:type schema:CreativeWork
    255 grid-institutes:grid.148313.c schema:alternateName Theoretical Division, MS-K710, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA
    256 schema:name Theoretical Division, MS-K710, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA
    257 rdf:type schema:Organization
    258 grid-institutes:grid.4991.5 schema:alternateName Department of Zoology, Oxford University, S. Parks Road, OX1 3PS, Oxford, UK
    259 schema:name Department of Zoology, Oxford University, S. Parks Road, OX1 3PS, Oxford, UK
    260 rdf:type schema:Organization
    261 grid-institutes:grid.5477.1 schema:alternateName Theoretical Biology, Utrecht University, Padualaan 8, 3584 CH, Utrecht, The Netherlands
    262 schema:name Theoretical Biology, Utrecht University, Padualaan 8, 3584 CH, Utrecht, The Netherlands
    263 rdf:type schema:Organization
     




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


    ...