EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL

From MaRDI portal
Publication:3573106

DOI10.1142/S021820251000443XzbMath1201.35086arXiv0907.5467MaRDI QIDQ3573106

Marie Doumic, Pierre Gabriel

Publication date: 30 June 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.5467




Related Items (62)

Time asymptotics for a critical case in fragmentation and growth-fragmentation equationsSpectral analysis of semigroups and growth-fragmentation equationsEstimating the division rate and kernel in the fragmentation equationOn spectral gaps of growth-fragmentation semigroups with mass loss or deathA mathematical model of the dynamics of prion aggregates with chaperone-mediated fragmentationPeriodic asymptotic dynamics of the measure solutions to an equal mitosis equationUniqueness of weak solutions to a prion equation with polymer joiningOn spectral gaps of growth-fragmentation semigroups in higher moment spacesEstimating the division rate for the growth-fragmentation equationRecovering the fragmentation rate in the growth-fragmentation equationSpectral expansions of non-self-adjoint generalized Laguerre semigroupsRelative Entropy Method for Measure Solutions of the Growth-Fragmentation EquationLinks between deterministic and stochastic approaches for invasion in growth-fragmentation-death modelsDynamics of concentration in a population model structured by age and a phenotypical traitGlobal stability for the prion equation with general incidenceAsynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rateExponential ergodicity of a degenerate age-size piecewise deterministic processDiscrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle modelPDE Models of Adder Mechanisms in Cellular ProliferationA numerical approach to determine mutant invasion fitness and evolutionary singular strategiesA probabilistic approach to spectral analysis of growth-fragmentation equationsThe shape of the polymerization rate in the prion equationON A CELL DIVISION EQUATION WITH A LINEAR GROWTH RATESelf-similarity in a general aggregation-fragmentation problem. Application to fitness analysisRate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equationsThe strong Malthusian behavior of growth-fragmentation processesAnalyzing plasmid segregation: existence and stability of the eigensolution in a non-compact caseA Probabilistic Look at Conservative Growth-Fragmentation EquationsAsymptotic behaviour of neuron population models structured by elapsed-timeCell Division And The Pantograph EquationAdaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equationExponential equilibration of genetic circuits using entropy methodsEigensolutions and spectral analysis of a model for vertical gene transfer of plasmidsHow to Be Positive in Natural Sciences?Numerical rate function determination in partial differential equations modeling cell population dynamicsExistence of global classical and weak solutions to a prion equation with polymer joiningLong-time asymptotics for polymerization modelsAsymptotic behavior of the growth-fragmentation equation with bounded fragmentation rateA short remark on a growth-fragmentation equationA numerical framework for computing steady states of structured population models and their stabilityHow does variability in cell aging and growth rates influence the malthus parameter?Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the correctorSome simple but challenging Markov processesOptimization of an amplification protocol for misfolded proteins by using relaxed controlStatistical estimation of a growth-fragmentation model observed on a genealogical treeA size and space structured model describing interactions of tumor cells with immune cells reveals cancer persistent equilibrium states in tumorigenesisA combined model of aggregation, fragmentation, and exchange processes: insights from analytical calculationsSpectral Gap for the Growth-Fragmentation Equation via Harris's TheoremOn a family of critical growth-fragmentation semigroups and refracted Lévy processesLong-time behavior and Darwinian optimality for an asymmetric size-structured branching processLimit theorems for some branching measure-valued processesCyclic asymptotic behaviour of a population reproducing by fission into two equal partsOn a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviorsOn the non existence of non negative solutions to a critical growth-fragmentation equationSteady distribution of the incremental model for bacteria proliferationA probabilistic view on the long-time behaviour of growth-fragmentation semigroups with bounded fragmentation ratesDiscrete growth-decay-fragmentation equation: well-posedness and long-term dynamicsWellposedness of a DNA replication model based on a nucleation-growth processOptimal geometric control applied to the protein misfolding cyclic amplification processPrion dynamics with size dependency–strain phenomenaExponential relaxation to self-similarity for the superquadratic fragmentation equationOn solutions to a class of functional differential equations with time-dependent coefficients



Cites Work


This page was built for publication: EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL