Reliability modelling for biological ageing

Some stochastic approaches to modelling biological ageing are studied. The assumption is made that a random resource is acquired by an organism at birth. Failure (death) occurs when the accumulated wear exceeds this initial resource, modelled by discrete or continuous random variables. Deterioration...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part O, Journal of risk and reliability Journal of risk and reliability, 2008-03, Vol.222 (1), p.1-6
Main Author: Finkelstein, M S
Format: Article
Language:English
Subjects:
Aging
Aging (biology)
Biological models (mathematics)
Continuity (mathematics)
Damage accumulation
Death
Deterioration
Evolutionary biology
Failure
Healing
Mathematical models
Modelling
Mortality
Noise prediction
Probability theory
Random variables
Randomness
Reliability
Reliability analysis
Repair
Shot noise
Wear
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Summary:Some stochastic approaches to modelling biological ageing are studied. The assumption is made that a random resource is acquired by an organism at birth. Failure (death) occurs when the accumulated wear exceeds this initial resource, modelled by discrete or continuous random variables. Deterioration in repairable objects is also considered. Two models are discussed. The first one is an imperfect repair model. It is shown that under certain assumptions the accumulated damage in this model is bounded. The second model is based on the shot noise process and takes into account the ‘healing effect’, when an increment of damage after each shock is decreasing with time.
ISSN:1748-006X
1748-0078
DOI:10.1243/1748006XJRR65