24 citations · 83 across the 28 of their papers we have counts for
30 papers
Multitype PCR branching processes
P. Chigansky, F. Klebaner, M. Mrksa +1
To model amplification Polymerase Chain Reaction (PCR) techniques targeting DNA sequences of several types, we introduce a multitype PCR branching process as a generalized version…
Estimation of rates in population-age-dependent processes by means of test functions
Jie Yen Fan, Kais Hamza, Fima C. Klebaner +1
This paper aims to develop practical applications of the model for the highly technical measure-valued populations developed by the authors in \cite{FanEtal20}. We consider the pro…
An approximation of populations on a habitat with large carrying capacity
N. Bauman, P. Chigansky, F. Klebaner
We consider stochastic dynamics of a population which starts from a small colony on a habitat with large but limited carrying capacity. A common heuristics suggests that such popul…
Limit theorems for multi-type general branching processes with population dependence
Jie Yen Fan, Kais Hamza, Peter Jagers +1
A general multi-type population model is considered, where individuals live and reproduce according to their age and type, but also under the influence of the size and composition…
On the establishment of a mutant
J. Baker, P. Chigansky, P. Jagers +1
How long does it take for an initially advantageous mutant to establish itself in a resident population, and what does the population composition look like then? We approach these…
Populations with interaction and environmental dependence: from few, (almost) independent, members into deterministic evolution of high densities
P. Chigansky, P. Jagers, F. C. Klebaner
Many populations, e.g. of cells, bacteria, viruses, or replicating DNA molecules, start small, from a few individuals, and grow large into a noticeable fraction of the environmenta…