| Autor: |
Pauline Hogeweg, Maarten C. Boerlijst |
| Rok vydání: |
1995 |
| Předmět: |
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| Zdroj: |
Physica D: Nonlinear Phenomena. 88:29-39 |
| ISSN: |
0167-2789 |
| DOI: |
10.1016/0167-2789(95)00178-7 |
| Popis: |
In this paper we study a partial differential equation model of cyclic catalysis of replicating entities (i.e. a hypercycle). In the presence of a spatial gradient in the decay rate of molecules we observe spiral drift towards the region of faster rotating spirals. On a radial gradient one spiral anchors in the region of fasterst rotation. If the drop in the gradient is large enough, this spiral will break up in the periphery and form new spiral centres. The system settles in a dynamic equilibrium. This equilibrium turns out to be persistent even against strong parasites, i.e., molecules that receive increased catalysis but do not give any catalysis. If just one peripheral spiral manages to escape the first attacking wave of the parasite, this spiral will gradually push out the parasites and in the long run the dynamic equilibrium will be completely restored. We conclude that a gradient can supply regenerative power to the hypercycle. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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