Dmitry Shtokalo » Публикация
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Опубликовано
2007-06-20
Опубликовано на SciPeople2009-12-28 07:29:00
ЖурналJournal of Applied and Industrial Mathematics
Study of a model of linear biomolecular synthesis with reversible processes
Аннотация
The results are presented of studying a mathematical model of linear biomolecular
synthesis which accounts for the reversibility of attaching a monomer to a growing molecule and
some spontaneous termination of the synthesis. A previous model of a synthesis ignored the influence
of reversibility and sinks. It is shown that if the rate of the monomer attachment (the direct process)
exceeds the rate of the monomer removal (the reverse process) then the passage to the limit model
with infinitely many stages leads to a delay differential equation. For any other ratios of the rates, the
solution reaches a stationary state.
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