A computational model for telomere-dependent cell-replicative aging

Portugal, Rodrigo de Souza; Land, Marcelo Gerardin Poirot; Svaiter, B. F.

doi:10.1016/j.biosystems.2007.10.003

Cited by 21 publications

(30 citation statements)

References 18 publications

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“…In particular, we address the issue of sigmoidal growth curves of cell populations and how these can be explained by telomere shortening. The first paper making such a connection seems to be Portugal et al [29], whose model is a special case of ours. We show that different types of growth curves are obtained depending on assumptions about whether mother cells maintain the telomere length and whether the lifespan is finite or infinite, and also depending on whether telomere maintenance can be restored after an initial period of shortening.…”

Section: Discussionmentioning

confidence: 99%

“…Now, instead assume that a telomere unit is lost in both mother and daughter, which is the assumption of, for example, Portugal et al [29]. By 'infinite lifespan' we really mean that the replicative lifespan of a cell is affected only by telomere shortening, which means that we now get P i (N = i) = 1 for all i.…”

Section: Example 3: Infinite Lifespan Mother Loses Telomeresmentioning

confidence: 99%

“…In Portugal et al [29], telomere shortening was suggested as an explanation for such growth curves. More specifically, under certain assumptions, the growth curve was shown to be very closely approximated by the so-called Gompertz function, which is one of several classes of functions whose graphs exhibit sigmoidal shape.…”

Section: P Olofssonmentioning

confidence: 99%

“…Vondraček [31], Tan [34], Olofsson [23], Sozou and Kirkwood [33], op den Buijs et al [28], Dyson et al [9], and Portugal et al [29].…”

Section: P Olofssonmentioning

confidence: 99%

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Can telomere shortening explain sigmoidal growth curves?

Olofsson

2010

Journal of Biological Dynamics

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Section: Discussionmentioning

confidence: 99%

Section: Example 3: Infinite Lifespan Mother Loses Telomeresmentioning

confidence: 99%

Section: P Olofssonmentioning

confidence: 99%

“…Vondraček [31], Tan [34], Olofsson [23], Sozou and Kirkwood [33], op den Buijs et al [28], Dyson et al [9], and Portugal et al [29].…”

Section: P Olofssonmentioning

confidence: 99%

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Can telomere shortening explain sigmoidal growth curves?

Olofsson

2010

Journal of Biological Dynamics

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“…On the mathematical side, computer simulation of a very simple discrete-time stochastic model of telomere regulated growth yielded growth curves similar to the Gompertzian model [13]. The basic assumption of this model was a linear decrease in mitosis probability with telomere shortening.…”

Section: Introductionmentioning

confidence: 99%

A Markovian Growth Dynamics on Rooted Binary Trees Evolving According to the Gompertz Curve

2012

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Abstract. Inspired by biological dynamics, we consider a growth Markov process taking values on the space of rooted binary trees, similar to the AldousShields model [1]. Fix n ≥ 1 and β > 0. We start at time 0 with the tree composed of a root only. At any time, each node with no descendants, independently from the other nodes, produces two successors at rate β(n−k)/n, where k is the distance from the node to the root. Denote by Zn(t) the number of nodes with no descendants at time t and let Tn = β −1 n ln(n/ ln 4)+(ln 2)/(2β). We prove that 2 −n Zn(Tn + nτ ), τ ∈ R, converges to the Gompertz curve exp(−(ln 2) e −βτ ). We also prove a central limit theorem for the martingale associated to Zn(t).

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Aging and computational systems biology

Mooney

Morgan

Auley

2016

WIREs Mechanisms of Disease

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Aging research is undergoing a paradigm shift, which has led to new and innovative methods of exploring this complex phenomenon. The systems biology approach endeavors to understand biological systems in a holistic manner, by taking account of intrinsic interactions, while also attempting to account for the impact of external inputs, such as diet. A key technique employed in systems biology is computational modeling, which involves mathematically describing and simulating the dynamics of biological systems. Although a large number of computational models have been developed in recent years, these models have focused on various discrete components of the aging process, and to date no model has succeeded in completely representing the full scope of aging. Combining existing models or developing new models may help to address this need and in so doing could help achieve an improved understanding of the intrinsic mechanisms which underpin aging.

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A computational model for telomere-dependent cell-replicative aging

Cited by 21 publications

References 18 publications

Can telomere shortening explain sigmoidal growth curves?

Can telomere shortening explain sigmoidal growth curves?

A Markovian Growth Dynamics on Rooted Binary Trees Evolving According to the Gompertz Curve

Aging and computational systems biology

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