000012489 001__ 12489
000012489 005__ 20160816141448.0
000012489 04107 $$aeng
000012489 046__ $$k2016-05-09
000012489 100__ $$aRosenberg, J.
000012489 24500 $$aPERPETUAL POINTS IN THE CAJAL-LIKE INTERSTICIAL CELL MODEL

000012489 24630 $$n22.$$pEngineering Mechanics 2016
000012489 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Praha
000012489 506__ $$arestricted
000012489 520__ $$2eng$$aCajal-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.

000012489 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012489 653__ $$aCajal-like interstitial cells, bladder, nonlinear dynamical system, hidden attractors, perpetual points.

000012489 7112_ $$aEngineering Mechanics 2016$$cSvratka, CZ$$d2016-05-09 / 2016-05-12$$gEM2016
000012489 720__ $$aRosenberg, J.$$iByrtus, M.
000012489 8560_ $$ffischerc@itam.cas.cz
000012489 8564_ $$s1003563$$uhttps://invenio.itam.cas.cz/record/12489/files/119bo_o_bio.pdf$$yOriginal version of the author's contribution as presented on CD, id 119, section BIO.
000012489 962__ $$r12369
000012489 980__ $$aPAPER