Branching processes in near-critical random environments
Journal article, 2004

Branching processes are studied in random environments that are influenced by the population size and approach criticality as the population gets large. Results are applied to the polymerase chain reaction (PCR), which is empirically known to exhibit first exponential and then linear growth of molecule numbers.

Branching process

Random environment



Peter Jagers

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematical Statistics

Fima C. Klebaner

Monash University

Journal of Applied Probability

0021-9002 (ISSN)

Vol. 41A 17-23

Subject Categories

Production Engineering, Human Work Science and Ergonomics

Bioprocess Technology

Probability Theory and Statistics



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