Raul Florin Horhat

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Specific activator and repressor transcription factors which bind to specific regulator DNA sequences, play an important role in gene activity control. Interactions between genes coding such transcripion factors should explain the different stable or sometimes oscillatory gene activities characteristic for different tissues. In this paper, the dynamic(More)
In this paper we analyze a simple mathematical model which describes the interaction between the proteins p53 and Mdm2. For the stationary state we discuss the local stability and the existence of the Hopf bifurcation. Choosing the delay as a bifurcation parameter we study the direction and stability of the bifurcating periodic solutions. Some numerical(More)
The objective of this paper is to investigate the stability of limit cycles of a mathematical model with a distributed delay which describes the interaction between p53 and mdm2. Choosing the delay as a bifurca-tion parameter we study the direction and stability of the bifurcating periodic solutions using the normal form and the center manifold theorem.(More)
p53 gene is a central hub in a network that have the role to protect the cells against carcinogenesis. A lot of research work has been done in this field, a huge amount of data was collected and many experiments have been performed. For a better understanding of the processes and for the help of experiments design some mathematical models were proposed in(More)
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