Cell Death: Linear Control Analysis of Eissing's Model

Readman, Mark C. and Kalamatianos, Dimitrios (2012) Cell Death: Linear Control Analysis of Eissing's Model. [MIMS Preprint]

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Abstract

We deconstruct Eissing's intrinsic apoptosis model using linear control theory. In the life steady state the linearised dynamics are shown to be a tightly coupled but unstable multi- variable system. The life steady state is stabilized biochemically by decentralised XIAP and CARP acting as lead controllers. The small gain theorem is used to analyse stability and to give insight into how the inhibitors naturally modulate cell death and highlighting the role played by positive and negative feedback. Finally we use simulations to examine the extent to which recovery is possible once apoptosis has been initiated.

Item Type: MIMS Preprint
Uncontrolled Keywords: Apoptosis, Caspase Activation, Biochemical Pathways, Feedback control, Dementia, CICADA
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 92 Biology and other natural sciences
MSC 2010, the AMS's Mathematics Subject Classification > 93 Systems theory; control
Depositing User: Dr Mark Muldoon
Date Deposited: 12 Jan 2012
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1759

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