Calculus from the past: multiple delay systems arising in cancer cell modelling. (English) Zbl 1312.34126
This paper studies a multiple delay model arising from cancer cell population dynamics:
\[
{{d {\mathbf x}} \over {dt}} = A {\mathbf x}(t-[{\mathbf T}]).
\]
The asymptotic behavior of the equation is discussed.
Reviewer: Jinzhi Lei (Beijing)
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K06 | Linear functional-differential equations |
| 34K25 | Asymptotic theory of functional-differential equations |
| 92C37 | Cell biology |
References:
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| [2] | Bellman, Differential-difference equations (1963) |
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| [4] | DOI: 10.1007/s00285-003-0254-2 · Zbl 1060.92035 · doi:10.1007/s00285-003-0254-2 |
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| [7] | DOI: 10.1016/S0895-7177(03)90010-0 · Zbl 1050.34109 · doi:10.1016/S0895-7177(03)90010-0 |
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
