A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells
| dc.contributor.author | Adimy, Mostafa | |
| dc.contributor.author | Pujo-Menjouet, Laurent | |
| dc.date.accessioned | 2021-01-27T21:14:05Z | |
| dc.date.available | 2021-01-27T21:14:05Z | |
| dc.date.issued | 2003-10-23 | |
| dc.description.abstract | In this paper, we investigate a linear population model of cells that are capable of simultaneous proliferation and maturation. We consider the case when the time required for a cell to divide depends on its maturity. This model is described by first order partial differential system with a retardation of the maturation variable and a time delay depending on this maturity. Both delays are due to cell replication. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Adimy, M., & Pujo-Menjouet, L. (2003). A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells. <i>Electronic Journal of Differential Equations, 2003</i>(107), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13158 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Structured population | |
| dc.subject | Cell cycle | |
| dc.subject | Stem cells | |
| dc.subject | First order partial differential equation with delays | |
| dc.subject | Non constant delay | |
| dc.title | A mathematical model describing cellular division with a proliferating phase duration depending on the maturity of cells | |
| dc.type | Article |