Abstract:
:The apoptotic caspase-3/8 feedback loop describes the core of the extrinsic pro-apoptotic signaling pathway, an essential part of apoptosis. Latter is a prototype of the programmed cell death, which enables organisms to remove damaged or infected cells. The reaction network of the caspase-3/8 feedback loop in a single cell is modeled by a reaction-diffusion system, which shows a bistable behavior. In this work, we present an appropriate bounded invariant region for the bistable reaction-diffusion system in order to theoretically confirm that diffusion rapidly balances the concentrations of the different caspase types. This justifies the decomposition of the dynamics into a diffusion dominated part on a very short time scale and a pure reaction driven dynamics on a large time scale.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Daub Mdoi
10.1007/s11538-013-9892-8subject
Has Abstractpub_date
2013-11-01 00:00:00pages
2271-88issue
11eissn
0092-8240issn
1522-9602journal_volume
75pub_type
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