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Time-delayed model of immune response in plants

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posted on 2023-06-08, 23:35 authored by G Neofytou, Yuliya KyrychkoYuliya Kyrychko, Konstantin BlyussKonstantin Blyuss
In the studies of plant infections, the plant immune response is known to play an essential role. In this paper we derive and analyse a new mathematical model of plant immune response with particular account for post-transcriptional gene silencing (PTGS). Besides biologically accurate representation of the PTGS dynamics, the model explicitly includes two time delays to represent the maturation time of the growing plant tissue and the non-instantaneous nature of the PTGS. Through analytical and numerical analysis of stability of the steady states of the model we identify parameter regions associated with recovery and resistant phenotypes, as well as possible chronic infections. Dynamics of the system in these regimes is illustrated by numerical simulations of the model.

History

Publication status

  • Published

File Version

  • Accepted version

Journal

Journal of Theoretical Biology

ISSN

0022-5193

Publisher

Elsevier

Volume

389

Page range

28-39

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2015-12-02

First Open Access (FOA) Date

2017-01-22

First Compliant Deposit (FCD) Date

2016-06-07

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