Upper and lower bounds from the maximum principle. Intracellular diffusion with Michaelis-Menten kinetics View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1989-05

AUTHORS

Mónica C. Regalbuto, William Strieder, Arvind Varma

ABSTRACT

Analytical bounding functions for diffusion problems with Michaelis-Menten kinetics were recently presented by Anderson and Arthurs, 1985 (Bull. math. Biol.47, 145–153). Their methods, successful to some extent for a small range of parameters, has the disadvantage of providing a weak upper bound. The optimal approach for the use of one-line bounding kinetics is presented. The use of two-line bounding kinetics is also shown, in order to give, sufficient accuracy in those cases where the one-line approach does not provide satisfactory results. The bounding functions provide excellent upper and lower bounds on the true solution for the entire range of kinetic and transport parameters. More... »

PAGES

325-335

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02460111

DOI

http://dx.doi.org/10.1007/bf02460111

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1007157497

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/2730967


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Biological Transport", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Cells", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Kinetics", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "inDefinedTermSet": "https://www.nlm.nih.gov/mesh/", 
        "name": "Models, Theoretical", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA", 
          "id": "http://www.grid.ac/institutes/grid.131063.6", 
          "name": [
            "Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Regalbuto", 
        "givenName": "M\u00f3nica C.", 
        "id": "sg:person.013743705543.13", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013743705543.13"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA", 
          "id": "http://www.grid.ac/institutes/grid.131063.6", 
          "name": [
            "Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Strieder", 
        "givenName": "William", 
        "id": "sg:person.0656015017.85", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0656015017.85"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA", 
          "id": "http://www.grid.ac/institutes/grid.131063.6", 
          "name": [
            "Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Varma", 
        "givenName": "Arvind", 
        "id": "sg:person.015311351425.35", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015311351425.35"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1016/s0092-8240(83)80019-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1054614581", 
          "https://doi.org/10.1016/s0092-8240(83)80019-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1016/s0092-8240(85)90009-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1054614718", 
          "https://doi.org/10.1016/s0092-8240(85)90009-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02459650", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018068761", 
          "https://doi.org/10.1007/bf02459650"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02460043", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025240438", 
          "https://doi.org/10.1007/bf02460043"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1989-05", 
    "datePublishedReg": "1989-05-01", 
    "description": "Analytical bounding functions for diffusion problems with Michaelis-Menten kinetics were recently presented by Anderson and Arthurs, 1985 (Bull. math. Biol.47, 145\u2013153). Their methods, successful to some extent for a small range of parameters, has the disadvantage of providing a weak upper bound. The optimal approach for the use of one-line bounding kinetics is presented. The use of two-line bounding kinetics is also shown, in order to give, sufficient accuracy in those cases where the one-line approach does not provide satisfactory results. The bounding functions provide excellent upper and lower bounds on the true solution for the entire range of kinetic and transport parameters.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/bf02460111", 
    "inLanguage": "en", 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1018370", 
        "issn": [
          "0092-8240", 
          "1522-9602"
        ], 
        "name": "Bulletin of Mathematical Biology", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "51"
      }
    ], 
    "keywords": [
      "lower bounds", 
      "maximum principle", 
      "true solution", 
      "bounding functions", 
      "diffusion problems", 
      "one-line", 
      "bounds", 
      "optimal approach", 
      "sufficient accuracy", 
      "problem", 
      "parameters", 
      "approach", 
      "function", 
      "satisfactory results", 
      "solution", 
      "Michaelis-Menten kinetics", 
      "transport parameters", 
      "accuracy", 
      "principles", 
      "entire range", 
      "small range", 
      "Anderson", 
      "order", 
      "diffusion", 
      "cases", 
      "intracellular diffusion", 
      "two-line", 
      "results", 
      "disadvantages", 
      "use", 
      "range", 
      "kinetics", 
      "extent", 
      "method", 
      "Analytical bounding functions", 
      "one-line approach"
    ], 
    "name": "Upper and lower bounds from the maximum principle. Intracellular diffusion with Michaelis-Menten kinetics", 
    "pagination": "325-335", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1007157497"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02460111"
        ]
      }, 
      {
        "name": "pubmed_id", 
        "type": "PropertyValue", 
        "value": [
          "2730967"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02460111", 
      "https://app.dimensions.ai/details/publication/pub.1007157497"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-01-01T18:03", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_191.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/bf02460111"
  }
]
 

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/bf02460111'

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/bf02460111'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02460111'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02460111'


 

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

148 TRIPLES      22 PREDICATES      72 URIs      60 LITERALS      12 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02460111 schema:about N060c827acf3246389e3e3ccedb881ecb
2 N0c72ed22e1ba4153b5acbf07c4238c38
3 N571137c90d3645e6934640aef1e20aa8
4 Nc1ae5903164542c2a9ae2627aa7fe04a
5 Nf75120ea6eee4d56b61b333590c7bf0e
6 anzsrc-for:01
7 anzsrc-for:0101
8 schema:author N23f82a4783b7444aaeebbe573328f7e7
9 schema:citation sg:pub.10.1007/bf02459650
10 sg:pub.10.1007/bf02460043
11 sg:pub.10.1016/s0092-8240(83)80019-6
12 sg:pub.10.1016/s0092-8240(85)90009-6
13 schema:datePublished 1989-05
14 schema:datePublishedReg 1989-05-01
15 schema:description Analytical bounding functions for diffusion problems with Michaelis-Menten kinetics were recently presented by Anderson and Arthurs, 1985 (Bull. math. Biol.47, 145–153). Their methods, successful to some extent for a small range of parameters, has the disadvantage of providing a weak upper bound. The optimal approach for the use of one-line bounding kinetics is presented. The use of two-line bounding kinetics is also shown, in order to give, sufficient accuracy in those cases where the one-line approach does not provide satisfactory results. The bounding functions provide excellent upper and lower bounds on the true solution for the entire range of kinetic and transport parameters.
16 schema:genre article
17 schema:inLanguage en
18 schema:isAccessibleForFree false
19 schema:isPartOf N1717f054d1fe4c49ab2592cce0392953
20 Ne2ddda7afe83443e8a0c4fb1f32d9f07
21 sg:journal.1018370
22 schema:keywords Analytical bounding functions
23 Anderson
24 Michaelis-Menten kinetics
25 accuracy
26 approach
27 bounding functions
28 bounds
29 cases
30 diffusion
31 diffusion problems
32 disadvantages
33 entire range
34 extent
35 function
36 intracellular diffusion
37 kinetics
38 lower bounds
39 maximum principle
40 method
41 one-line
42 one-line approach
43 optimal approach
44 order
45 parameters
46 principles
47 problem
48 range
49 results
50 satisfactory results
51 small range
52 solution
53 sufficient accuracy
54 transport parameters
55 true solution
56 two-line
57 use
58 schema:name Upper and lower bounds from the maximum principle. Intracellular diffusion with Michaelis-Menten kinetics
59 schema:pagination 325-335
60 schema:productId N02f8b89825cc49229702ddff3fa6e44f
61 N23eaa43b9e9848efb243d34ad0f99e8a
62 Ne408aff7119444879a6624c6a1eb9da8
63 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007157497
64 https://doi.org/10.1007/bf02460111
65 schema:sdDatePublished 2022-01-01T18:03
66 schema:sdLicense https://scigraph.springernature.com/explorer/license/
67 schema:sdPublisher N1ab9550eca9048e5afe8f4571a928460
68 schema:url https://doi.org/10.1007/bf02460111
69 sgo:license sg:explorer/license/
70 sgo:sdDataset articles
71 rdf:type schema:ScholarlyArticle
72 N02f8b89825cc49229702ddff3fa6e44f schema:name doi
73 schema:value 10.1007/bf02460111
74 rdf:type schema:PropertyValue
75 N060c827acf3246389e3e3ccedb881ecb schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
76 schema:name Models, Theoretical
77 rdf:type schema:DefinedTerm
78 N0c72ed22e1ba4153b5acbf07c4238c38 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
79 schema:name Cells
80 rdf:type schema:DefinedTerm
81 N1717f054d1fe4c49ab2592cce0392953 schema:issueNumber 3
82 rdf:type schema:PublicationIssue
83 N1ab9550eca9048e5afe8f4571a928460 schema:name Springer Nature - SN SciGraph project
84 rdf:type schema:Organization
85 N23eaa43b9e9848efb243d34ad0f99e8a schema:name pubmed_id
86 schema:value 2730967
87 rdf:type schema:PropertyValue
88 N23f82a4783b7444aaeebbe573328f7e7 rdf:first sg:person.013743705543.13
89 rdf:rest Nb98d11f39f6b45beb3a74a3ee13c66bc
90 N571137c90d3645e6934640aef1e20aa8 schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
91 schema:name Biological Transport
92 rdf:type schema:DefinedTerm
93 Nb98d11f39f6b45beb3a74a3ee13c66bc rdf:first sg:person.0656015017.85
94 rdf:rest Nc6d0b8c56f2b436b8fdab6afe0357a5f
95 Nc1ae5903164542c2a9ae2627aa7fe04a schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
96 schema:name Mathematics
97 rdf:type schema:DefinedTerm
98 Nc6d0b8c56f2b436b8fdab6afe0357a5f rdf:first sg:person.015311351425.35
99 rdf:rest rdf:nil
100 Ne2ddda7afe83443e8a0c4fb1f32d9f07 schema:volumeNumber 51
101 rdf:type schema:PublicationVolume
102 Ne408aff7119444879a6624c6a1eb9da8 schema:name dimensions_id
103 schema:value pub.1007157497
104 rdf:type schema:PropertyValue
105 Nf75120ea6eee4d56b61b333590c7bf0e schema:inDefinedTermSet https://www.nlm.nih.gov/mesh/
106 schema:name Kinetics
107 rdf:type schema:DefinedTerm
108 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
109 schema:name Mathematical Sciences
110 rdf:type schema:DefinedTerm
111 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
112 schema:name Pure Mathematics
113 rdf:type schema:DefinedTerm
114 sg:journal.1018370 schema:issn 0092-8240
115 1522-9602
116 schema:name Bulletin of Mathematical Biology
117 schema:publisher Springer Nature
118 rdf:type schema:Periodical
119 sg:person.013743705543.13 schema:affiliation grid-institutes:grid.131063.6
120 schema:familyName Regalbuto
121 schema:givenName Mónica C.
122 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013743705543.13
123 rdf:type schema:Person
124 sg:person.015311351425.35 schema:affiliation grid-institutes:grid.131063.6
125 schema:familyName Varma
126 schema:givenName Arvind
127 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015311351425.35
128 rdf:type schema:Person
129 sg:person.0656015017.85 schema:affiliation grid-institutes:grid.131063.6
130 schema:familyName Strieder
131 schema:givenName William
132 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0656015017.85
133 rdf:type schema:Person
134 sg:pub.10.1007/bf02459650 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018068761
135 https://doi.org/10.1007/bf02459650
136 rdf:type schema:CreativeWork
137 sg:pub.10.1007/bf02460043 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025240438
138 https://doi.org/10.1007/bf02460043
139 rdf:type schema:CreativeWork
140 sg:pub.10.1016/s0092-8240(83)80019-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054614581
141 https://doi.org/10.1016/s0092-8240(83)80019-6
142 rdf:type schema:CreativeWork
143 sg:pub.10.1016/s0092-8240(85)90009-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1054614718
144 https://doi.org/10.1016/s0092-8240(85)90009-6
145 rdf:type schema:CreativeWork
146 grid-institutes:grid.131063.6 schema:alternateName Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA
147 schema:name Department of Chemical Engineering, University of Notre Dame, 46556, Notre Dame, IN, USA
148 rdf:type schema:Organization
 




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


...