Unified approach to growth and aging in biological, technical and biotechnical systems

Castorina, P.; Blanchard, Philippe

doi:10.1186/2193-1801-1-7

Cited by 15 publications

(10 citation statements)

References 17 publications

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“…The PDFs for these distributions are given in Appendix A. These distributions are widely used in reliability theory [5, 49, 55], survival analysis [43], and studies of aging and lifespan for both mechanical and biological systems using a reliability theory approach [6, 10, 25, 26, 33]. Although the Weibull is widely used as a failure distribution [5], aside from the papers by Friese et al [22, 23], ours is the only use of the Weibull as an RBC lifespan distribution to our knowledge.…”

Section: Introductionmentioning

confidence: 99%

Models for the red blood cell lifespan

Shrestha¹,

Horowitz

Hollot

et al. 2016

J Pharmacokinet Pharmacodyn

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The lifespan of red blood cells (RBCs) plays an important role in the study and interpretation of various clinical conditions. Yet, confusion about the meanings of fundamental terms related to cell survival and their quantification still exists in the literature. To address these issues, we started from a compartmental model of RBC populations based on an arbitrary full lifespan distribution, carefully defined the residual lifespan, current age, and excess lifespan of the RBC population, and then derived the distributions of these parameters. For a set of residual survival data from biotin-labeled RBCs, we fit models based on Weibull, gamma, and lognormal distributions, using nonlinear mixed effects (NLME) modeling and parametric bootstrapping. From the estimated Weibull, gamma, and lognormal parameters we computed the respective population mean full lifespans (95% confidence interval): 115.60 (109.17–121.66), 116.71 (110.81–122.51), and 116.79 (111.23–122.75) days together with the standard deviations of the full lifespans: 24.77 (20.82–28.81), 24.30 (20.53–28.33), and 24.19 (20.43–27.73). We then estimated the 95th percentiles of the lifespan distributions (a surrogate for the maximum lifespan): 153.95 (150.02–158.36), 159.51 (155.09–164.00), and 160.40 (156.00–165.58) days, the mean current ages (or the mean residual lifespans): 60.45 (58.18–62.85), 60.82 (58.77–63.33), and 57.26 (54.33–60.61) days, and the residual half-lives: 57.97 (54.96–60.90), 58.36 (55.45–61.26), and 58.40 (55.62–61.37) days, for the Weibull, gamma, and lognormal models respectively. Corresponding estimates were obtained for the individual subjects. The three models provide equally excellent goodness-of-fit, reliable estimation, and physiologically plausible values of the directly interpretable RBC survival parameters.

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Section: Introductionmentioning

confidence: 99%

Models for the red blood cell lifespan

Shrestha¹,

Horowitz

Hollot

et al. 2016

J Pharmacokinet Pharmacodyn

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“…1 e), as those reported by Regen ( 1941 ) in A. virginica who interpreted the presence of triads as the possible non division of one of the megaspores of the dyad to enter meiosis II. Gomez-Rodríguez et al ( 2012 ) observed the formation of triads in the pollen microsporogenesis of A. tequilana and A. angustifolia which are formed by a mechanism where a failure in meiosis II in a cell of the dyad prevented the formation of cell wall in the daughter nuclei, which finally are restored, leading to the formation of a 2n microspore and two n microspores (unreduced gametes).…”

Section: Resultsmentioning

confidence: 99%

Embryogenesis in Polianthes tuberosa L var. Simple: from megasporogenesis to early embryo development

González-Gutiérrez

Rodrı́guez-Garay

2016

SpringerPlus

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The genus Polianthes belongs to the subfamily Agavoideae of the Asparagaceae family formerly known as Agavaceae. The genus is endemic to México and comprises about 15 species, among them is Polianthes tuberosa L. The aim of this work was to study and characterize the embryo sac and early embryo development of this species in order to generate basic knowledge for its use in taxonomy, in vitro fertilization and production of haploid plants and to complement studies already performed in other genera and species belonging to the Agavoideae sub-family. It was found that the normal development of the P. tuberosa var. Simple embryo sac follows a monosporic pattern of the Polygonum type and starts its development from the chalazal megaspore. At maturity, the embryo sac is of a pyriform shape with a chalazal haustorial tube where the antipodals are located, just below the hypostase, which connects the embryo sac with the nucellar tissue of the ovule. The central cell nucleus shows a high polarity, being located at the chalazal extreme of the embryo sac. The position of cells inside the P. tuberosa embryo sac may be useful for in depth studies about the double fertilization. Furthermore, it was possible to make a chronological description of the events that happen from fertilization and early embryo development to the initial development of the endosperm which was classified as of the helobial type.

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“…For technical devices, the previous classification scheme has been generalized since the specific growth rate of Weibull law has a power dependence on t which is not reproduced by equation (4). The behavior α f (t) ; t n , with n positive integer, corresponds to terms O ( n n 1 a -) ( ) in the expansion of Φ(α) and therefore for a general classification scheme of the specific growth/aging/failure rate of biological and technical systems one has to consider [9]:…”

Section: Classification Of Growth Lawsmentioning

confidence: 99%

“…the exponential growth, can be neglected if one considers the GL, the generalized logistic or more complex growth laws for the biological systems (there is no problem to include this term in the expansion); (c) the first sum in the expansion has fractional powers. As a by-product of the proposed classification scheme one can easily evaluate the aging/failure of combined new bio-technical 'manufactured products' [9].…”

Section: Classification Of Growth Lawsmentioning

confidence: 99%

“…Let us now study some specific solutions of equations (8), (9) and the applications to the Fermi-Dirac distribution of a free gas and, in more details, to the electrical conductivity of Silicon Carbide(SiC). = ¹ = for i3 one gets the logistic (and generalized logistic) equation for f, that we discuss in more details in the following applications.…”

Section: Thermal Behaviormentioning

confidence: 99%

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Unified description of thermal behaviors by macroscopic growth laws

Castorina

Lanteri

2019

J. Phys. Commun.

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Complex systems, in many different scientific sectors, show coarse-grain properties with simple growth laws with respect to fundamental microscopic algorithms. The known classification schemes of the growth laws refer to time evolution of biological and technical systems. We propose to apply the previous classifications to phenomenological analysis of thermal systems with a cross-fertilization among different sectors. As an example, the Fermi-Dirac distribution function and the electrical activation in implanted silicon carbide are discussed.

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Unified approach to growth and aging in biological, technical and biotechnical systems

Cited by 15 publications

References 17 publications

Models for the red blood cell lifespan

Models for the red blood cell lifespan

Embryogenesis in Polianthes tuberosa L var. Simple: from megasporogenesis to early embryo development

Unified description of thermal behaviors by macroscopic growth laws

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