Skip to main content

New Technique for Simulation of Organism Subsystems

  • Chapter
Model Development and Optimization

Part of the book series: Applied Optimization ((APOP,volume 28))

  • 252 Accesses

Abstract

It is shown that the earlier considered technique for development mathematical modeling can be applied and grounded for simulation of various organism subsystems (OS) with applications to medicine and health care. In this connection, the mathematical models obtained can be useful for both common and nontraditional modes of a disease treatment. General theory is displayed on the examples of the subsystem of blood sugar and primary-pancreatic diabetes, cancers modeling, and the novel approach to low dose exposure effects’ extrapolation of OS modeling.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adam J. A., Bellomo N., A Survey of Models for Tumor-Immune System Dynamics, BirkMuser, 1997, 344 pp.

    Google Scholar 

  2. Asachenkov A., Marchuk G., Mohler R., Zuev S., Disease Dynamics, BirkMuser, 1994, 316 pp.

    Google Scholar 

  3. Cobelli C., Federspil G., Pocini G., Salvan A., and Scandellari C., An Integrated Mathematical Model of the Dynamics of Blood Glucose and Its Normal Control, Mathematical bio-sciences, 58, 1982, 27–60.

    Article  MATH  Google Scholar 

  4. Glushkov V.M., Cancer Problem from a Position of Systems General Theory, Kiev: Inst, of Cybernetics, Reprint 79–26, 1979, 20 pp. (in Russian).

    Google Scholar 

  5. Glushkov V.M., Ivanov V.V., Yanenko V.M., Methodological Problems of Mathematical Methods Application to Biology, Kiev: Inst, of Cybernetics, Reprint 79–60, 1979, 65 pp. (in Russian).

    MathSciNet  Google Scholar 

  6. Guide on Physiology. Physiology of Endocrine System, L.: Nauka, 1979, 679 pp. (in Russian).

    Google Scholar 

  7. Handbook for Therapeutist, M.: Meditsina, 1979,655 pp. (in Russian).

    Google Scholar 

  8. Kaplan D., Glass L., Understanding Nonlinear Dynamics, Springer, 1995, 400 pp.

    Google Scholar 

  9. Murray J.D., Mathematical Biology, New York: Springer, 1993, 767 pp.

    Book  MATH  Google Scholar 

  10. New Technologies and Concepts for Reducing Drug Toxicity, CRC Press, 1993,154 pp.

    Google Scholar 

  11. Pogozhev I.B., Application of Mathematical Models of Diseases in Clinic Practice, M.: Nauka, 1988, 192 pp. (in Russian).

    Google Scholar 

  12. Toffolo G., Bergman R.N., Finegood D.T., Bowdon C.R. and Cobelli C., Quantitative Estimate of Beta-Cells Sensitivity to Glucose in the Intact Organism: a Minimal Model of Insulin Kinetics in the Dog, Diabetes, 29, 1980, 979–990.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Ivanov, V.V. (1999). New Technique for Simulation of Organism Subsystems. In: Model Development and Optimization. Applied Optimization, vol 28. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4062-5_11

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-4062-5_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6819-9

  • Online ISBN: 978-1-4615-4062-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics