Clustering in Cell Cycle Dynamics with General Response/Signaling Feedback - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Journal of Theoretical Biology Année : 2012

Clustering in Cell Cycle Dynamics with General Response/Signaling Feedback

Todd Young
  • Fonction : Auteur
Richard Buckalew
  • Fonction : Auteur
Gregory Moses
  • Fonction : Auteur
Erik Boczko
  • Fonction : Auteur

Résumé

Motivated by experimental and theoretical work on autonomous oscillations in yeast, we analyze ordinary differential equations models of large populations of cells with cell-cycle dependent feedback. We assume a particular type of feedback that we call Responsive/Signaling (RS), but do not specify a functional form of the feedback. We study the dynamics and emergent behaviour of solutions, particularly temporal clustering and stability of clustered solutions. We establish the existence of certain periodic clustered solutions as well as "uniform" solutions and add to the evidence that cell-cycle dependent feedback robustly leads to cell-cycle clustering. We highlight the fundamental differences in dynamics between systems with negative and positive feedback. For positive feedback systems the most important mechanism seems to be the stability of individual isolated clusters. On the other hand we find that in negative feedback systems, clusters must interact with each other to reinforce coherence. We conclude from various details of the mathematical analysis that negative feedback is most consistent with observations in yeast experiments.

Dates et versions

hal-00803131 , version 1 (21-03-2013)

Identifiants

Citer

Todd Young, Bastien Fernandez, Richard Buckalew, Gregory Moses, Erik Boczko. Clustering in Cell Cycle Dynamics with General Response/Signaling Feedback. Journal of Theoretical Biology, 2012, 292, pp.103-115. ⟨10.1016/j.jtbi.2011.10.002⟩. ⟨hal-00803131⟩
2118 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More