PERPETUAL POINTS IN THE CAJAL-LIKE INTERSTICIAL CELL MODEL
Abstract eng: 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.
Contributors:
Publisher:
Institute of Thermomechanics AS CR, v.v.i., Praha
Conference Title:
Conference Title:
Engineering Mechanics 2016
Conference Venue:
Svratka, CZ
Conference Dates:
2016-05-09 / 2016-05-12
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.
Record appears in:
Record created 2016-08-16, last modified 2016-08-16
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