Loading...
Please wait, while we are loading the content...
Similar Documents
Feedback Loops With Time Scales
| Content Provider | Semantic Scholar |
|---|---|
| Author | Brandt, Stefan |
| Copyright Year | 2010 |
| Abstract | Feedback loops are a central motive in biological regulatory networks, playing an important role finding hysteresis effects and oscillatory behavior. In this thesis we develop a general system of coupled feedback loops, combining a fast positive feedback loop with a slow negative one. The introduction of different time scales allows a deeper investigation of a three-dimensional prototype. We prove the existence of a line of Hopf bifurcations, a line of homoclinic orbits, and canard cycles. Furthermore we give a numerical description of four generic cases in an associated planar case. As an application of coupled feedback loops we investigate a model of the blood coagulation system. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://mediatum.ub.tum.de/doc/808883/808883.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |