Engineering Mechanics

Proceedings Vol. 22 (2016)

ENGINEERING MECHANICS 2016

22nd INTERNATIONAL CONFERENCE
May 9 – 12, 2016, Svratka, Czech Republic

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Editors: Igor Zolotarev and Vojtěch Radolf

ISBN 978-80-87012-59-8 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

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PERPETUAL POINTS IN THE CAJAL-LIKE INTERSTICIAL CELL MODEL

Rosenberg J., Byrtus M.
pages 527 - 530, full text

Cajal-like interstitial cells (IC-LC) play important role in both physiological and pathological function of the bladder. The authors developed relative simple mathematical model consisting of five nonlinear ODEs. The model accuracy was verified using published experimental results. Deeper analysis of this model has shown existence of the multi-stable and hidden attractors which can have important influence on the behavior of the whole bladder. As the most effective way to obtain these attractors seems to be to use the method based on the calculation of the perpetual point. In the contribution is shortly introduced the definition of these points. Although this method is till now not fully proved it allows to calculate some multi-stable or hidden attractors. The goal is to show the application of this method on the more complex 5D system. This is presented on suitably chosen example.

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All papers were reviewed by members of the scientific committee.

Engineering Mechanics

International Conference

Proceedings Vol. 22 (2016)

ENGINEERING MECHANICS 2016