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Bayesian inference and model choice in a hidden stochastic two-compartment model of hematopoietic stem cell fate decisions
Stochastic two-compartment model hidden Markov models reversible jump MCMC hematopoiesis stem cell asymmetric division
2010/11/8
Despite rapid advances in experimental cell biology, the in vivo behavior of hematopoietic stem cells (HSC) cannot be directly ob-served and measured. Previously we modeled feline hematopoiesis using ...
Fluctuations for a conservative interface model on a wall
Equilibrium fluctuations Interface model Stochastic partial differential equations hard wall
2009/6/12
We consider an effective interface model on a hard wall in(1+1)dimensions,with conservation of the area between the interface and the wall.We prove that the equilibrium fluctuations of the height vari...
Limit theorems for an epidemic model on the complete graph
Epidemic model random walk complete graph Markov chains Law of Large Numbers Central Limit Theorem
2009/6/12
We study the following random walks system on the complete graph with n vertices.At time zero,there is a number of active and inactive particles living on the vertices.Active particles move as continu...
A fixed point approach to model random fields
Random elds Limit theorems for vector-valued random variables Interacting random processes statistical mechanics type models
2009/6/12
A fixed point approach to model random fields.
A population model for Λ-coalescents with neutral mutations
probability measure measure value Markov process
2009/3/23
Bertoin and Le Gall (2003) introduced a certain probability measure valued Markov process that describes the evolution of a population, such that a sample from this population would exhibit a genealog...