On the Mathematical Model of a Biomedical Process with Delay

Pogorevici, A.; Juratoni, Adina; Bundău, Olivia

doi:10.1063/1.3637853

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Cited by 2 publications

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“…In this paper, we consider the model from [4] and the process described into [1], which analyze an angiogenesis model with time delay. The model described in [4] has the following form:…”

Section: Setup Of the Modelmentioning

confidence: 99%

See 1 more Smart Citation

Hopf bifurcations analysis for a mathematical model of a biomedical process

Pogorevici¹,

Juratoni²,

Bundău³

2012

AIP Conference Proceedings

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In this paper we consider the model with time delay from [4], which describe tumor growth depending on vascular mass and regulation of new vessel formation through a key angiogenic factor. This model presents a Hopf bifurcation. Choosing the delay as a bifurcation parameter we determine the direction and stability of the bifurcating periodic solutions by applying the normal form theory and the center manifold theorem.

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“…In this paper, we consider the model from [4] and the process described into [1], which analyze an angiogenesis model with time delay. The model described in [4] has the following form:…”

Section: Setup Of the Modelmentioning

confidence: 99%

“…In [4] we investigated the existence of the Hopf bifurcation for system (1), using time delay as a bifurcation parameter. The system (1) has the same fixed points as the system without delay.…”

Section: Setup Of the Modelmentioning

confidence: 99%