Agnieszka Bartłomiejczyk
Gdańsk University of Technology
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Publication
Featured researches published by Agnieszka Bartłomiejczyk.
Applied Mathematics and Computation | 2018
Monika Joanna Piotrowska; Agnieszka Bartłomiejczyk; Marek Bodnar
Abstract We propose the generalisation of the p53-Mdm2 protein gene expression model introduced by Monk (2003). We investigate the stability of a unique positive steady state and formulate conditions which guarantee the occurrence of the Hopf bifurcation. We show that oscillatory behaviour can be caused not only by time lag in protein transcription process, but also can be present in the model without time delay. Moreover, we investigate the stability of new born periodic solutions. Theoretical results are illustrated by numerical simulations and interpreted from the biological point of view.
Nonlinear Analysis-real World Applications | 2012
Marek Bodnar; Agnieszka Bartłomiejczyk
Nonlinear Analysis-theory Methods & Applications | 2004
Agnieszka Bartłomiejczyk; Henryk Leszczyński
Applied Numerical Mathematics | 2015
Agnieszka Bartłomiejczyk; Henryk Leszczyński
XXI Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie | 2015
Agnieszka Bartłomiejczyk; Marek Bodnar; Monika Joanna Piotrowska
Rocky Mountain Journal of Mathematics | 2015
Agnieszka Bartłomiejczyk; Henryk Leszczyński; Piotr Zwierkowski
Applicationes Mathematicae | 2015
Agnieszka Bartłomiejczyk; Henryk Leszczyński; Artur Polinski
arXiv: Analysis of PDEs | 2014
Agnieszka Bartłomiejczyk; Henryk Leszczyński; Piotr Zwierkowski
XX Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie | 2014
Agnieszka Bartłomiejczyk; Marek Bodnar
Annales Polonici Mathematici | 2014
Agnieszka Bartłomiejczyk; Henryk Leszczyński
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