Linear and structural stability of a cell division process model
The paper investigates the linear stability of mammalian physiology time-delayed flow for three distinct cases (normal cell cycle, a neoplasmic cell cycle, and multiple cell arrest states), for the Dirac, uniform, and exponential distributions. For the Dirac distribution case, it is shown that the m...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/51848 |
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| Summary: | The paper investigates the linear stability of mammalian
physiology time-delayed flow for three distinct cases (normal cell
cycle, a neoplasmic cell cycle, and multiple cell arrest states),
for the Dirac, uniform, and exponential distributions. For the
Dirac distribution case, it is shown that the model exhibits a
Hopf bifurcation for certain values of the parameters involved in
the system. As well, for these values, the structural stability of
the SODE is studied, using the five KCC-invariants of the
second-order canonical extension of the SODE, and all the cases
prove to be Jacobi unstable. |
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| ISSN: | 0161-1712 1687-0425 |