On the Conditions of Hopf Bifurcation for ATM Protein and DNA Damage Signal Model; Cuts off the DNA Healing Process
Z. Tanouri, O. Rabiei Motlagh, H. M. Mohammadinezhad
Journal of Advances in Mathematics and Computer Science · pp. 395–400 · Published 23 Jul 2015
10.9734/BJMCS/2015/14435Abstract
In this paper, we consider some available models and then introduce a model which simulates the interaction between ATM protein and DNA damage signal, which motivated biologically. Next we find a Hopf bifurcation for this system. Biologically we find a region for the DNA damage signal and ATM protein where solutions in this region are not of those solutions that DNA healing process occurs on these. In fact entering solutions in this region aren’t biologically appropriate solutions.
Cited by 2
Samira Mahmooee, Omid RabieiMotlagh, Haji M. Mohammadinejad · European Journal of Control · 2023
Hui Lv, Tao Sun, Qiang Zhang · Lecture Notes in Computer Science · 2022
Related research
- Delayed Nutrient Conversion for a Single Species Periodic Chemostat — shares topic coverage
- Stability and Bifurcation Analysis for a Hepatitis C Virus Transmissions Model with Time Delay — shares topic coverage
- Application of Multiple Scale Method to a Discretized Financial PDE — shares topic coverage
- Periodic Solutions of a Time Delay Stage-structured Prey-predator Model — shares topic coverage
- Hopf Bifurcation Analysis for a Two Species Periodic Chemostat Model with Discrete Delays — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
2
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.