Publication Information

{'id': 'https://openalex.org/W1999837610', 'doi': 'https://doi.org/10.1007/s12576-011-0191-6', 'title': 'Vascular tortuosity: a mathematical modeling perspective', 'display_name': 'Vascular tortuosity: a mathematical modeling perspective', 'publication_year': 2012, 'publication_date': '2012-01-17', 'ids': {'openalex': 'https://openalex.org/W1999837610', 'doi': 'https://doi.org/10.1007/s12576-011-0191-6', 'mag': '1999837610', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/22252461'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s12576-011-0191-6', 'pdf_url': 'https://jps.biomedcentral.com/counter/pdf/10.1007/s12576-011-0191-6', 'source': {'id': 'https://openalex.org/S114270954', 'display_name': 'The Journal of Physiological Sciences', 'issn_l': '1880-6546', 'issn': ['1880-6546', '1880-6562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320256', 'host_organization_name': 'BioMed Central', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310320256'], 'host_organization_lineage_names': ['Springer Nature', 'BioMed Central'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref', 'pubmed'], 'open_access': {'is_oa': True, 'oa_status': 'gold', 'oa_url': 'https://jps.biomedcentral.com/counter/pdf/10.1007/s12576-011-0191-6', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5068502134', 'display_name': 'Leith Hathout', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I97018004', 'display_name': 'Stanford University', 'ror': 'https://ror.org/00f54p054', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I97018004']}, {'id': 'https://openalex.org/I1743320', 'display_name': 'Palo Alto University', 'ror': 'https://ror.org/04f812k67', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I1743320']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Leith Hathout', 'raw_affiliation_strings': ['Department of Biology, Stanford University, Palo Alto, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Biology, Stanford University, Palo Alto, USA', 'institution_ids': ['https://openalex.org/I97018004', 'https://openalex.org/I1743320']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5059680664', 'display_name': 'Huy M.', 'orcid': 'https://orcid.org/0000-0001-9682-3412'}, 'institutions': [{'id': 'https://openalex.org/I97018004', 'display_name': 'Stanford University', 'ror': 'https://ror.org/00f54p054', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I97018004']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Huy M. Do', 'raw_affiliation_strings': ['Department of Radiology, Stanford University Medical Center, Palo Alto, USA.'], 'affiliations': [{'raw_affiliation_string': 'Department of Radiology, Stanford University Medical Center, Palo Alto, USA.', 'institution_ids': ['https://openalex.org/I97018004']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 1790, 'currency': 'GBP', 'value_usd': 2195, 'provenance': 'doaj'}, 'apc_paid': {'value': 1790, 'currency': 'GBP', 'value_usd': 2195, 'provenance': 'doaj'}, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 9, 'citation_normalized_percentile': {'value': 0.805726, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 84, 'max': 85}, 'biblio': {'volume': '62', 'issue': '2', 'first_page': '133', 'last_page': '145'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10983', 'display_name': 'Aortic aneurysm repair treatments', 'score': 0.9919, 'subfield': {'id': 'https://openalex.org/subfields/2740', 'display_name': 'Pulmonary and Respiratory Medicine'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10983', 'display_name': 'Aortic aneurysm repair treatments', 'score': 0.9919, 'subfield': {'id': 'https://openalex.org/subfields/2740', 'display_name': 'Pulmonary and Respiratory Medicine'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}, {'id': 'https://openalex.org/T10924', 'display_name': 'Cardiovascular Health and Disease Prevention', 'score': 0.9891, 'subfield': {'id': 'https://openalex.org/subfields/2705', 'display_name': 'Cardiology and Cardiovascular Medicine'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}, {'id': 'https://openalex.org/T10193', 'display_name': 'Coronary Interventions and Diagnostics', 'score': 0.9856, 'subfield': {'id': 'https://openalex.org/subfields/2746', 'display_name': 'Surgery'}, 'field': {'id': 'https://openalex.org/fields/27', 'display_name': 'Medicine'}, 'domain': {'id': 'https://openalex.org/domains/4', 'display_name': 'Health Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/tortuosity', 'display_name': 'Tortuosity', 'score': 0.91981375}], 'concepts': [{'id': 'https://openalex.org/C185250623', 'wikidata': 'https://www.wikidata.org/wiki/Q2301683', 'display_name': 'Tortuosity', 'level': 3, 'score': 0.91981375}, {'id': 'https://openalex.org/C12713177', 'wikidata': 'https://www.wikidata.org/wiki/Q1900281', 'display_name': 'Perspective (graphical)', 'level': 2, 'score': 0.66365486}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.40098965}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.19522482}, {'id': 'https://openalex.org/C127313418', 'wikidata': 'https://www.wikidata.org/wiki/Q1069', 'display_name': 'Geology', 'level': 0, 'score': 0.16149116}, {'id': 'https://openalex.org/C187320778', 'wikidata': 'https://www.wikidata.org/wiki/Q1349130', 'display_name': 'Geotechnical engineering', 'level': 1, 'score': 0.060322106}, {'id': 'https://openalex.org/C6648577', 'wikidata': 'https://www.wikidata.org/wiki/Q622669', 'display_name': 'Porosity', 'level': 2, 'score': 0.0}], 'mesh': [{'descriptor_ui': 'D001808', 'descriptor_name': 'Blood Vessels', 'qualifier_ui': 'Q000033', 'qualifier_name': 'anatomy & histology', 'is_major_topic': True}, {'descriptor_ui': 'D008953', 'descriptor_name': 'Models, Anatomic', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': True}, {'descriptor_ui': 'D008955', 'descriptor_name': 'Models, Cardiovascular', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': True}, {'descriptor_ui': 'D055592', 'descriptor_name': 'Biophysical Phenomena', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': False}, {'descriptor_ui': 'D001808', 'descriptor_name': 'Blood Vessels', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': False}, {'descriptor_ui': 'D001808', 'descriptor_name': 'Blood Vessels', 'qualifier_ui': 'Q000502', 'qualifier_name': 'physiology', 'is_major_topic': False}, {'descriptor_ui': 'D000795', 'descriptor_name': 'Fabry Disease', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': False}, {'descriptor_ui': 'D000795', 'descriptor_name': 'Fabry Disease', 'qualifier_ui': 'Q000473', 'qualifier_name': 'pathology', 'is_major_topic': False}, {'descriptor_ui': 'D006801', 'descriptor_name': 'Humans', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': False}, {'descriptor_ui': 'D055641', 'descriptor_name': 'Mathematical Concepts', 'qualifier_ui': '', 'qualifier_name': None, 'is_major_topic': False}], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s12576-011-0191-6', 'pdf_url': 'https://jps.biomedcentral.com/counter/pdf/10.1007/s12576-011-0191-6', 'source': {'id': 'https://openalex.org/S114270954', 'display_name': 'The Journal of Physiological Sciences', 'issn_l': '1880-6546', 'issn': ['1880-6546', '1880-6562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320256', 'host_organization_name': 'BioMed Central', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310320256'], 'host_organization_lineage_names': ['Springer Nature', 'BioMed Central'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10717352', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764455111', 'display_name': 'PubMed Central', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://pubmed.ncbi.nlm.nih.gov/22252461', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306525036', 'display_name': 'PubMed', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s12576-011-0191-6', 'pdf_url': 'https://jps.biomedcentral.com/counter/pdf/10.1007/s12576-011-0191-6', 'source': {'id': 'https://openalex.org/S114270954', 'display_name': 'The Journal of Physiological Sciences', 'issn_l': '1880-6546', 'issn': ['1880-6546', '1880-6562'], 'is_oa': True, 'is_in_doaj': True, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320256', 'host_organization_name': 'BioMed Central', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310320256'], 'host_organization_lineage_names': ['Springer Nature', 'BioMed Central'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 16, 'referenced_works': ['https://openalex.org/W1517912795', 'https://openalex.org/W1603230122', 'https://openalex.org/W1606467544', 'https://openalex.org/W163499446', 'https://openalex.org/W1952239748', 'https://openalex.org/W2014186757', 'https://openalex.org/W2036258799', 'https://openalex.org/W2045690769', 'https://openalex.org/W2073604166', 'https://openalex.org/W2076705404', 'https://openalex.org/W2084757048', 'https://openalex.org/W2088813643', 'https://openalex.org/W2143400933', 'https://openalex.org/W2171857332', 'https://openalex.org/W4231953093', 'https://openalex.org/W642875728'], 'related_works': ['https://openalex.org/W4242461735', 'https://openalex.org/W4200526323', 'https://openalex.org/W3189172001', 'https://openalex.org/W3101152546', 'https://openalex.org/W2771232776', 'https://openalex.org/W2748952813', 'https://openalex.org/W2497324722', 'https://openalex.org/W2050474108', 'https://openalex.org/W2015139878', 'https://openalex.org/W1999837610'], 'abstract_inverted_index': {'Although': [0], 'vascular': [1], 'tortuosity': [2, 48, 66, 83, 86, 101, 174, 177], 'is': [3, 42, 49, 55, 114, 132], 'a': [4, 62, 98, 126, 139, 158], 'ubiquitous': [5], 'phenomenon,': [6], 'almost': [7], 'no': [8], 'mathematical': [9, 63], 'models': [10], 'exist': [11, 89], 'to': [12, 80, 161, 171], 'describe': [13], 'its': [14], 'shape.': [15], 'Given': [16], 'that': [17, 44, 134, 148], 'the': [18, 45, 94, 135], 'shape': [19, 46], 'of': [20, 29, 31, 47, 65, 96, 100, 128], 'tortuous': [21], 'vessel': [22, 32, 144], 'curves': [23, 117], 'seems': [24], 'fairly': [25], 'uniform': [26], 'across': [27, 35], 'orders': [28], 'magnitude': [30], 'size': [33], 'and': [34, 71, 121, 154], 'vast': [36], 'differences': [37], 'in': [38, 90, 118, 122, 125, 156, 179], 'anatomic': [39], 'substrata,': [40], 'it': [41], 'hypothesized': [43], 'not': [50], 'purely': [51], 'random': [52], 'but': [53], 'rather': [54], 'governed': [56], 'by': [57], 'physical': [58], 'principles.': [59], 'We': [60], 'present': [61], 'model': [64, 75, 99, 113, 137, 166], 'based': [67], 'on': [68], 'optimality': [69, 152], 'principles,': [70, 153], 'show': [72], 'how': [73], 'this': [74], 'can': [76], 'potentially': [77], 'be': [78, 169], 'used': [79], 'distinguish': [81, 172], 'physiologic': [82, 173], 'from': [84, 175], 'abnormal': [85, 176], 'which': [87, 105], 'may': [88, 167], 'disease': [91, 180], 'states.': [92, 181], 'Using': [93], 'calculus': [95], 'variations,': [97], 'has': [102], 'been': [103], 'developed': [104], 'minimizes': [106], 'average': [107, 163], 'curvature': [108], 'per': [109], 'unit': [110], 'length.': [111], 'The': [112, 165], 'tested': [115], 'against': [116], 'normal': [119, 143], 'vessels': [120, 124, 150], 'diseased': [123], 'case': [127], "Fabry's": [129], 'disease.': [130], 'It': [131], 'found': [133, 178], 'theoretical': [136], 'provides': [138], 'good': [140], 'fit': [141], 'for': [142], 'tortuosity.': [145], 'This': [146], 'suggests': [147], 'blood': [149], 'obey': [151], 'curve': [155], 'such': [157], 'way': [159], 'as': [160], 'minimize': [162], 'curvature.': [164], 'also': [168], 'able': [170]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1999837610', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 2}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}], 'updated_date': '2025-01-10T07:52:47.734744', 'created_date': '2016-06-24'}