Misc,

The Fas trimer hysteron model: bistability in apoptosis from receptor clustering

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(2009)cite arxiv:0912.1548 Comment: 26 pages, 6 figures; supplementary information, 15 pages, 6 figures.

Abstract

Apoptosis is a highly regulated cell death mechanism involved in many physiological processes. One of the key components of extrinsically activated apoptosis is the death receptor Fas, which, on binding to its cognate ligand, oligomerize to form the death-inducing signaling complex, a pivotal trigger of apoptosis. Motivated by recent experimental data demonstrating the capacity of Fas to self-stabilize in their signaling forms, we propose a mathematical model of death ligand-receptor interaction that exhibits hysteresis. This provides an upstream mechanism for bistability in apoptosis, which is seen to be a consequence of biologically observed receptor trimerization. We analyze the bistability thresholds of the model, which furthermore possesses robustness of bistability, and provide a model assessment criterion using tools from algebraic geometry. Our results strongly suggest a role for Fas and other death receptors in generating robust threshold switching between coherent life and death states. Discussion includes an analogy with ferromagnetism and the generalization of self-stabilization to other apoptotic complexes such as the apoptosome.

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