Lyapunov exponents and phase diagrams reveal multi-factorial control over TRAIL-induced apoptosis
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Lauffenberger_Lyapunov exponents.pdf
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1.86 MB
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Author(s)
Aldridge, Bree B.
Gaudet, Suzanne
Lauffenburger, Douglas A.
Sorger, Peter K.
Date Issued
November 2011
Journal
Molecular Systems Biology
Publisher
Nature Publishing Group
Citation
Aldridge, Bree B et al. “Lyapunov Exponents and Phase Diagrams Reveal Multi-factorial Control over TRAIL-induced Apoptosis.” Molecular Systems Biology 7 (2011). © 2013 Nature Publishing Group
Version
Final published version
Abstract
Receptor-mediated apoptosis proceeds via two pathways: one requiring only a cascade of initiator and effector caspases (type I behavior) and the second requiring an initiator–effector caspase cascade and mitochondrial outer membrane permeabilization (type II behavior). Here, we investigate factors controlling type I versus II phenotypes by performing Lyapunov exponent analysis of an ODE-based model of cell death. The resulting phase diagrams predict that the ratio of XIAP to pro-caspase-3 concentrations plays a key regulatory role: type I behavior predominates when the ratio is low and type II behavior when the ratio is high. Cell-to-cell variability in phenotype is observed when the ratio is close to the type I versus II boundary. By positioning multiple tumor cell lines on the phase diagram we confirm these predictions. We also extend phase space analysis to mutations affecting the rate of caspase-3 ubiquitylation by XIAP, predicting and showing that such mutations abolish all-or-none control over activation of effector caspases. Thus, phase diagrams derived from Lyapunov exponent analysis represent a means to study multi-factorial control over a complex biochemical pathway.
MIT Department
Massachusetts Institute of Technology. Cell Decision Process Center
Massachusetts Institute of Technology. Department of Biological Engineering
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Creative Commons Attribution Noncommercial No Derivative Works 3.0 Unported
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DOI of Published Version
https://doi.org/10.1038/msb.2011.85
