Search

The Mathematical mechanism of biological aging

Recurso electrónico / Electronic resource
MARC record
Tag12Value
LDR  00000cab a2200000 4500
001  MAP20210010804
003  MAP
005  20210405200905.0
008  210331e20210301esp|||p |0|||b|spa d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
24514‎$a‎The Mathematical mechanism of biological aging‎$c‎Boquan Cheng...[et al.]
520  ‎$a‎Despite aging being a universal and ever-present biological phenomenon, describing this aging mechanism in accurate mathematical termsin particular, how to model the aging pattern and quantify the aging ratehas been an unsolved challenge for centuries. In this article, we propose a class of Coxian-type Markovian models that can provide a quantitative description of the well-known aging characteristicsthe genetically determined, progressive, and essentially irreversible process. Our model has a unique structure, including a constant transition rate for the aging process, and a functional form for the relationship between aging and death with a shape parameter to capture the biologically deteriorating effect due to aging. The force of moving from one state to another in the Markovian process indicates the intrinsic biological aging force. The associated increasing exiting rate captures the external force of stress due to mortality risk on a living organism. The idea of the article is developed from Lin and Liu's paper, Markov Aging Process and Phase-type Law of Mortality, that was published in 2007. A big difference is that, in this article, our model uses a functional form for model parameters, which allows a parsimonious yet flexible representation for various aging patterns. Our proposed mathematical framework can be used to classify the aging pattern and the key parameters of the model can be used to measure and compare how human aging evolves over time and across populations.
650 4‎$0‎MAPA20080568771‎$a‎Envejecimiento
650 4‎$0‎MAPA20080602437‎$a‎Matemática del seguro
650 4‎$0‎MAPA20080592042‎$a‎Modelos matemáticos
650 4‎$0‎MAPA20160009774‎$a‎Edad biológica
7001 ‎$0‎MAPA20210005381‎$a‎Cheng, Boquan
7730 ‎$w‎MAP20077000239‎$t‎North American actuarial journal‎$d‎Schaumburg : Society of Actuaries, 1997-‎$x‎1092-0277‎$g‎01/03/2021 Tomo 25 Número 1 - 2021 , p. 73-93