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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| _version_ | 1832556068632264704 |
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| author | Vladimir Balan Ileana Rodica Nicola |
| author_facet | Vladimir Balan Ileana Rodica Nicola |
| author_sort | Vladimir Balan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-60162dd7df9b404d993f695f20b9f554 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-60162dd7df9b404d993f695f20b9f5542025-02-03T05:46:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5184851848Linear and structural stability of a cell division process modelVladimir Balan0Ileana Rodica Nicola1Department of Mathematics I, University Politehnica of Bucharest, Splaiul Independentei 313, Bucharest 060042, RomaniaDepartment of Mathematics I, University Politehnica of Bucharest, Splaiul Independentei 313, Bucharest 060042, RomaniaThe 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.http://dx.doi.org/10.1155/IJMMS/2006/51848 |
| spellingShingle | Vladimir Balan Ileana Rodica Nicola Linear and structural stability of a cell division process model International Journal of Mathematics and Mathematical Sciences |
| title | Linear and structural stability of a cell division
process model |
| title_full | Linear and structural stability of a cell division
process model |
| title_fullStr | Linear and structural stability of a cell division
process model |
| title_full_unstemmed | Linear and structural stability of a cell division
process model |
| title_short | Linear and structural stability of a cell division
process model |
| title_sort | linear and structural stability of a cell division process model |
| url | http://dx.doi.org/10.1155/IJMMS/2006/51848 |
| work_keys_str_mv | AT vladimirbalan linearandstructuralstabilityofacelldivisionprocessmodel AT ileanarodicanicola linearandstructuralstabilityofacelldivisionprocessmodel |