- A-Z
- Endocytobiosis and ...
- Volume 3
- Issue 2
- The eukaryotic cell...
- Autor(in)
- Seitenbereich
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113 - 132
- Zusammenfsg.
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It is experimentally evidenced and mathematically obvious that genetically heterogeneous cell organelles reproducing semi-autonomously can compete against each other. This must be true for organelles of different type (e.g., chloroplasts and mitochondria) as well. Coexistence of these organelles are vital for cells, so the integration of their qenetic information by some mechanism is indispensable. It is shown that hypercvclic coupling (as introduced in prebiotic evolution) among the replicative and competitive entities is not needed for coexistence. A mathematical model is set up and analyzed expressing both intracellular competition and intercellular population dynamics. Intracellular, mutually dependent (via 'metabolism') reproduction and death of organelles are modelled by a nonlinear differential equation system. Its stochastic counterpart (master equation) is simulated numerically. Cell types are distinguished by their initial organelle composition. Their dynamics are coupled through 'mutations' to each other thanks to the stochasticity in replication and distribution of organelles during cell division. An Eiqen equation for this cellular quasispecies is deduced and numerically solved. All types of cells coexist in the quasispecies. The stochastic corrector model is the first to deal with intracellular organelle competition far from selective equilibrium thereby linking the fields of endocytobiology and mathematical population biology. Implications for prebiotic svstems are discussed in brief.
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