Cited by 21Diabetes Management and ResearchPancreatic function and diabetesHyperglycemia and glycemic control in critically ill and hospitalized patients

A revised Sorensen model: Simulating glycemic and insulinemic response to oral and intra-venous glucose load

Open access
Panunzi, Simona, Pompa, Marcello, Borri, Alessandro, Piemonte, Vincenzo, De Gaetano, Andrea·2020·PLoS ONE

Abstract

In 1978, Thomas J. Sorensen defended a thesis in chemical engineering at the University of California, Berkeley, where he proposed an extensive model of glucose-insulin control, model which was thereafter widely employed for virtual patient simulation. The original model, and even more so its subsequent implementations by other Authors, presented however a few imprecisions in reporting the correct model equations and parameter values. The goal of the present work is to revise the original Sorensen's model, to clearly summarize its defining equations, to supplement it with a missing gastrio-intestinal glucose absorption and to make an implementation of the revised model available on-line to the scientific community.

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Crossref · 10.1371/journal.pone.0237215

Cites

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  • The implemented version of the Sorensen model derives from the equations presented in his original PhD thesis, with the corrections introduced in [28] and modified to account for both possible subcutaneous administration of insulin and for the reduced insulin-sensitivity expected in a diabetic patient with respect to a normal individual.

    “The implemented version of the Sorensen model derives from the equations presented in his original PhD thesis [20], with the corrections introduced in [28] and modified to account for both (possible) subcutaneous administration of insulin and for the reduced insulin-sensitivity, which would be expected in a diabetic patient with respect to a normal individual [1].”

    From A comparison among three maximal mathematical models of the glucose-insulin system (2021) · cites this paper as [28]

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  • The Sorensen model is the most complex of the three models.

    “The Sorensen model is the most complex; it has been extensively described in the Author’s PhD thesis and has been thoroughly analyzed in a previous work [28], correcting some errors which were present in the original description by the Author.”

    From A comparison among three maximal mathematical models of the glucose-insulin system (2021) · cites this paper as [28]

    The Introduction describes the Sorensen model as “perhaps the most complex” among the Sorensen, UVa-Padova and Hovorka models. This supports the comparison among the three, but the citing sentence states the ranking definitively where the source hedges it. (LLM, conf=0.86)

    Experimental — accuracy not yet measured
  • An extended version of the Sorensen model, including a representation of the gastrointestinal tract, was presented in [28] and is used in the present work to simulate experiments where glucose is orally administered.

    “An extended version of the model, including a representation of the gastrointestinal tract, was also presented in [28], and is used in the present work to simulate experiments where glucose is orally administered.”
  • The Sorensen model has been thoroughly analyzed in a previous work [28], correcting some errors which were present in the original description by the Author.

    “The Sorensen model is the most complex; it has been extensively described in the Author’s PhD thesis and has been thoroughly analyzed in a previous work [28], correcting some errors which were present in the original description by the Author.”
  • To make the three models comparable, two subcutaneous compartments were added to the revised Sorensen model, which already includes the gastro-intestinal compartment.

    “To make the three models comparable, two subcutaneous compartments were therefore added to the revised Sorensen model (which already includes the gastro-intestinal compartment [28]).”

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Cites

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Research works printed but not linked: 4

  1. [35]Parker RS, Doyle FJ III, Ward JH, Peppas NA. Robust H∞ Glucose Control in Diabetes Using a Physiological Model. Bioengineering, Food, And Natural PRoducts. 2000; 46(12): 2537– 2549.
  2. [38]Saleem MU, Ferman M, Meraj MA. Stability Analysis of Sorensen’s Model for Controllability and Observability. Proceedings of the Pakistan Academy of Sciences: B Life and Environmental Sciences. 2017; 54(2): 133– 145.
  3. [43]Johnson B. Professional Visual Studio 2017 (English Edition). Wrox; 2017.
  4. [50]Saleem MU, Farman M, Meraj M. A linear control of Hovorka model. SciInt(Lahore). 2016; 1: 15– 18.

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Authors
Panunzi, S., Pompa, M., Borri, A., Piemonte, V., & De Gaetano, A.
Affiliations
  • National Research Council (IT)
  • Università Campus Bio-Medico (IT)
Corresponding author
Panunzi, Simona
Venue
PLoS ONE
Published
2020-08-14
Volume
15
Issue
8
Pages
e0237215
ISSN
1932-6203 (ISSN-L)
OpenAlex
W3049260097
Cited by
21
References
60
Citations by year
2025: 4 · 2024: 5 · 2023: 5 · 2022: 6 · 2021: 1
FWCI
2.26
Type
journal article
Language
en
Open access
Locations
  • PLoS ONE (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Topics
  • Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Diabetes Management and Research
  • Health Sciences › Medicine › Surgery › Pancreatic function and diabetes
  • Health Sciences › Medicine › Endocrinology, Diabetes and Metabolism › Hyperglycemia and glycemic control in critically ill and hospitalized patients
Keywords
glycemic response, insulin response, oral glucose load, virtual patient simulation
MeSH terms
Algorithms, Blood Glucose, Gastric Mucosa, Glucose, Humans, Insulin, Intestinal Absorption, Models, Biological, Gastric Absorption

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