Research Communication | Open Access
Volume 2019 | Communication ID 249
Volume 2019 | Communication ID 249
| Asynchronous exponential growth of solutions of an age structured cell cycle model with checkpoints |
Youssef Elalaoui, Larbi Alaoui
Received |
Accepted |
Published |
Feb 01, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: An age-structured PDE model of the cell division cycle within a population of cells in a common tissue controlled by many complex regulatory networks is analysed. The analysis of the model is based on using the theory developed for the class of translation semigroups that are associated with a core operator ϕ and are solutions of equations of the type m(t)=ϕ(mt). The operator ϕ associated with the model is determined and compactness and spectral properties are established to conclude the asynchronous exponential growth property for the model and the characterization of associated ...