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Abstract
We present a class of models aiming to describe generic protocells hypotheses,
improving a model introduced elsewhere[13]. These models, inspired by the 'Los Alamos bug' hypothesis, are composed by two coupled subsystems: a selfreplicating moleculeSRM and a lipid container. The latter grows thanks to the replication of the former, which in turn can produce copies of itself thanks to the very existence of the lipid container, as it is assumed that SRMs are preferentially found in the lipid phase. Nevertheless, due to abstraction level of our models, they can be applied to a wider set of detailed protocell hypotheses. It can thus be shown that, under fairly general assumptions of generic nonlinear growth law for the container and replication for the SRM, the two growth rates synchronize, so that the lipid container doubles its size when the quantity of selfreplicating molecules has also doubled ' thus giving rise to exponential growth of the population of protocells. Such synchronization had been postulated a priori in previous models of protocells, while it is here an emergent property. Our technique, combining a continuoustime formalism, for the growth between two successive protocell divisions, and a discrete map, relating the quantity of selfreplicating molecules in successive generations, allows one to derive several properties in an analytical way.
Original language  English 

Title of host publication  Proc. of the 2006 International Symposium on Mathematical and Computational Biology 
Subtitle of host publication  BIOMAT 2006 
Editors  Rubem Mondaini, Rui Dilão 
Publisher  World Scientific 
Pages  3752 
Number of pages  16 
ISBN (Print)  9789812707680 
Publication status  Published  2007 
Keywords
 synchronization
 selfreplication
 dynamical model
 protocell
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Projects
 1 Active

Dynamical systems meet biology : synchronization of metabolism and growth
1/09/06 → …
Project: Research
Activities
 1 Participation in conference

BIOMAT 2006 International Symposium on Mathematical and Computational Biology
Timoteo Carletti (Contributor)
25 Nov 2006 → 30 Nov 2006Activity: Participating in or organising an event types › Participation in conference