Damage segregation at fissioning may increase growth rates: a superprocess model

DOI10.1016/j.tpb.2007.02.004zbMath1122.92055arXivq-bio/0608008OpenAlexW1972319831WikidataQ36726375 ScholiaQ36726375MaRDI QIDQ2459077

David Steinsaltz, Steven N. Evans

Publication date: 5 November 2007

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-bio/0608008

zbMATH Keywords

superprocessagingbacteriadamage accumulationintergenerational transfersasymptotic growth

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Applications of branching processes (60J85) Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (12)

Estimating the division kernel of a size-structured population ⋮ Detection of cellular aging in a Galton-Watson process ⋮ Drivers of diversity in individual life courses: sensitivity of the population entropy of a Markov chain ⋮ Statistical theory of asymmetric damage segregation in clonal cell populations ⋮ Parameters estimation for asymmetric bifurcating autoregressive processes with missing data ⋮ Aging and immortality in a cell proliferation model ⋮ Birth, growth and death as structuring operators in bacterial population dynamics ⋮ Slow and fast scales for superprocess limits of age-structured populations ⋮ Limit theorems for Markov processes indexed by continuous time Galton-Watson trees ⋮ Proliferating parasites in dividing cells: Kimmel's branching model revisited ⋮ Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging ⋮ Quenched law of large numbers for branching Brownian motion in a random medium

Cites Work

• Ecole d'Eté de probabilités de Saint-Flour XXI - 1991, du 18 Août au 4 Septembre, 1991
• Risk spreading as an adaptive strategy in iteroparous life histories
• Branching particle systems and superprocesses
• The case for negative senescence
• Qualitative behavior of a selectively neutral allelic model
• The infinitely-many-sites model as a measure-valued diffusion
• A continuous migration model with stable demography
• Stochastic evolution equations and related measure processes
• On the formulation and analysis of general deterministic structured population models. I: Linear theory
• Survival and extinction in a locally regulated population
• The ages of mutations in gene trees
• Genealogical processes for Fleming-Viot models with selection and recombination
• Effects of asymmetric division on a stochastic model of the cell division cycle
• A scaling limit theorem for a class of superdiffusions
• Law of large numbers for a class of superdiffusions
• The co-evolution of intergenerational transfers and longevity: an optimal life history approach
• Quasistationary distributions for one-dimensional diffusions with killing
• Branching diffusion processes in population genetics
• On the properties of bilinear models for the balance between genetic mutation and selection
• Dynamics of bacterial phenotype selection in a colonized host
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Damage segregation at fissioning may increase growth rates: a superprocess model