https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/Head https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/assertion https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/provenance https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/pubinfo https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/assertion https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 http://purl.org/dc/terms/description A hierarchical Bell model, which extends Bell's rate theory of bond rupture to explicitly include the hierarchical architecture of a protein (how many H-bonds break together and how they are arranged), gives a structure–property relationship for the strength of protein domains. https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 http://purl.org/dc/terms/type mathematical-law https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/Claim https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 http://www.w3.org/2000/01/rdf-schema#comment Notation basis: The abstract names the model and says it derives from Bell's theory; the Bell force–rate form written here is the standard one the model extends. The hierarchical form (how E_b and x_b scale with b) is in the full text, which is not vendored, so it is not written here. https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 http://www.w3.org/2000/01/rdf-schema#label The hierarchical Bell model: a structure–property law for protein strength https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 http://www.w3.org/2004/02/skos/core#notation F(v) = \frac{k_B T}{x_b}\,\ln\frac{v}{v_0} + \frac{E_b}{x_b}, \quad E_b,\ x_b \text{ set by the number } b \text{ of H-bonds rupturing together} https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 https://w3id.org/delphi/ontology/context Theodor Ackbarow et al., “Hierarchies, multiple energy barriers, and robustness govern the fracture mechanics of α-helical and β-sheet protein domains”, Proceedings of the National Academy of Sciences 104, 16410-16415 (2007), doi:10.1073/pnas.0705759104; Abstract. Scope: Protein domains whose strength is set by clustered H-bond rupture https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/provenance https://doi.org/10.1073/pnas.0705759104 http://purl.org/dc/terms/bibliographicCitation Theodor Ackbarow, Xuefeng Chen, Sinan Keten, Markus J. Buehler. Hierarchies, multiple energy barriers, and robustness govern the fracture mechanics of α-helical and β-sheet protein domains. Proceedings of the National Academy of Sciences 104, 16410-16415 (2007). doi:10.1073/pnas.0705759104 https://doi.org/10.1073/pnas.0705759104 http://purl.org/dc/terms/creator Theodor Ackbarow, Xuefeng Chen, Sinan Keten, Markus J. 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Checked by build/check.py. https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/quote http://www.w3.org/ns/prov#hadPrimarySource https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=DOI:10.1073/pnas.0705759104&resultType=core&format=json https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/quote http://www.w3.org/ns/prov#wasQuotedFrom https://doi.org/10.1073/pnas.0705759104 https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/quote https://schema.org/text We derive the hierarchical Bell model, a theory that explicitly considers the hierarchical architecture of proteins, providing a rigorous structure-property relationship. https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sourceChecksum http://spdx.org/rdf/terms#algorithm http://spdx.org/rdf/terms#checksumAlgorithm_sha256 https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sourceChecksum http://spdx.org/rdf/terms#checksumValue 4f052f4a8a9ddc7dfecc384493c31e0f00fcd9873ded36486b8618493fdf4e18 https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sourceChecksum http://www.w3.org/2000/01/rdf-schema#comment Checksum of the vendored text file inputs/2007-hierarchies.abstract.txt, not of the publisher's copy. https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=DOI:10.1073/pnas.0705759104&resultType=core&format=json http://spdx.org/rdf/terms#checksum https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sourceChecksum https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=DOI:10.1073/pnas.0705759104&resultType=core&format=json http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.w3.org/ns/prov#Entity https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=DOI:10.1073/pnas.0705759104&resultType=core&format=json http://www.w3.org/2000/01/rdf-schema#label Abstract of Hierarchies, multiple energy barriers, and robustness govern the fracture mechanics of α-helical and β-sheet protein domains, as read https://www.ebi.ac.uk/europepmc/webservices/rest/search?query=DOI:10.1073/pnas.0705759104&resultType=core&format=json https://schema.org/about https://doi.org/10.1073/pnas.0705759104 https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/pubinfo https://w3id.org/delphi/resource/domain/buehler-protein-materials http://www.w3.org/2000/01/rdf-schema#label buehler-protein-materials https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://purl.org/dc/terms/created 2026-11-08T04:38:11.893Z https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://purl.org/dc/terms/creator https://orcid.org/0009-0007-4948-9192 https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://purl.org/dc/terms/license https://creativecommons.org/licenses/by/4.0/ https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://purl.org/nanopub/x/hasNanopubType https://w3id.org/delphi/ontology/Claim https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://purl.org/nanopub/x/introduces https://w3id.org/delphi/resource/claim/buehler-2007-hierarchies-03 https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc http://www.w3.org/2000/01/rdf-schema#label Theodor Ackbarow et al. 2007 claim: The hierarchical Bell model: a structure–property law for protein strength https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc https://w3id.org/delphi/ontology/domain https://w3id.org/delphi/resource/domain/buehler-protein-materials https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sig http://purl.org/nanopub/x/hasAlgorithm RSA https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sig http://purl.org/nanopub/x/hasPublicKey MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sig http://purl.org/nanopub/x/hasSignature Wd7SmHThu+Ae501WWSmHuxoBoY+OtSKYzwJ1BpERtrqI3jX8SsVbqp5g+nOweg3Y8R1NFASADY8nn6H+n5wqb2MTz3L0ERZD6Q+AqxaMEstL8fzm2Ou5wewEOicSUOVrDnM/fbSDsjNjf+d9GuZZzs6bwpBPWDywV8cj6IZhEXJbkPlAY1GfFiixN3nkNGPHxmJuYhrpN0W9H2g3J/XQQK8a85avwWMiv2MIo5stHzpnoi7qeaBQdPlEYlsYLksHZe0RGfUEqa/zpM+u3bsSD9hp7oy6NCOlItYbkvHTkOU9jTYoV7Fl5ToSKVXS/sQvMy13RtLOfssPJRGjKZKVow== https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sig http://purl.org/nanopub/x/hasSignatureTarget https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc https://w3id.org/np/RAMGzs7eaG0gHGlDa5Kdhzt8O-7FBsGkPtDW0m_J3NSoc/sig http://purl.org/nanopub/x/signedBy https://orcid.org/0009-0007-4948-9192