Skip to main content
SpringerLink
Log in

On a simple model of insulin secretion

  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

A model of the insulin secretion process is presented. The model aims to be a simple one as compared with previous models, i.e. it predicts experimental evidence on insulin secretion under a variety of glucose inputs with a mathematical structure of low complexity. The model predicts in the β-pancreas two linearly connected pools of stored and promptly releasable insulin. Insulin synthesis and release have been modelled as nonlinear glucose-controlled processes. Validation of the model is made by simulation studies both on insulin secretion data as well as on blood insulin concentration data, by aggregating the proposed model to a compartmental model of insulin kinetics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bergman, R. N. andUrquhart, J. (1971) The pilot gland approach to study of insulin secretory dynamics.Recent Prog. Horm. Res.,27, 583–605.

    Google Scholar 

  • Bergman, R. N. andBucolo, R. J. (1973) Nonlinear metabolic dynamics of the pancreas and liver.J. Dyn. Syst. Meas. Contr, Trans. ASME, Series G,95, 296–300.

    Google Scholar 

  • Botz, C. K. (1976) An improved control algorithm for an artificial β-cell.IEEE Trans. Biomed. Eng.,23, 252–255.

    Google Scholar 

  • Cerasi, E., Fick, G. andRudemo, M. (1974) A mathematical model for the glucose-induced insulin release in man.Europ. J. Clin. Invest.,4, 267–278.

    Article  Google Scholar 

  • Cerasi, E. (1975) Insulin secretion mechanism of the stimulation by glucose.Qt. Rev. Biophys.,8, 1–41.

    Article  Google Scholar 

  • Cobelli, C., Federspil, G., Pacini, G., Salvan, A. andScandellari, C. (1979) Modeling and simulation of the blood glucose regulation system.In L. Dekker, G. Savastano andG. C. Van Steenkiste (Eds.),Simulation of systems. Preprints of IMACS Congress 1979, Sorrento, Italy, Sept. 24–28, North-Holland, Amsterdam, 675–684.

    Google Scholar 

  • Grodsky, G. M. (1972) A threshold distribution hypothesis for packet storage of insulin and its mathematical modeling.J. Clin. Invest.,51, 2047–2059.

    Google Scholar 

  • Lerner, R. L. andPorte Jr., D. (1971) Relationships between intravenous glucose loads, insulin responses and glucose disappearance rate.J. Clin. Endocr.,33, 409–417.

    Article  Google Scholar 

  • Ličko, V. andSilvers, A. (1975) Open-loop glucose-insulin control with threshold secretory mechanism: analysis of intravenous glucose tolerance tests in man.Math. Biosci.,27, 319–332.

    Article  MATH  Google Scholar 

  • Sherwin, R. S., Kramer, K. J., Tobin, J. D., Insel, P. A., Liljenquist, J. E., Berman, M. andAndres, R. (1974) A model of the kinetics of insulin in man.J. Clin. Invest.,53, 1481–1492.

    Google Scholar 

Download references

Author information

Author notes

  1. C. Cobelli

    Present address: LADSEB-CNR, Corso Stati Iluiti 4, 35100, Padua, Italy

Authors and Affiliations

  1. Laboratorio per Ricerche di Dinamica dei Sistemi e di Bioingegneria (LADSEB), Consiglio Nazionale delle Ricerche (CNR), padova, Italy

    C. Cobelli, G. Pacini & A. Salvan

Authors
  1. C. Cobelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. Pacini
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Salvan
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cobelli, C., Pacini, G. & Salvan, A. On a simple model of insulin secretion. Med. Biol. Eng. Comput. 18, 457–463 (1980). https://doi.org/10.1007/BF02443317

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02443317

Keywords

Search

Navigation