Global stability of a partial differential equation with distributed delay due to cellular replication

By Mostafa Adimy, F. Crauste. 2003

79 citations recorded by the source corpus.

In this paper, we investigate a nonlinear partial differential equation, arising from a model of cellular proliferation. This model describes the production of blood cells in the bone marrow. It is represented by a partial differential equation with a retardation of the maturation variable and a distributed temporal delay. Our aim is to prove that the behaviour of primitive cells influences the global behaviour of the population.

Subfields: Computer Networks and Communications, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/086911001c348f8439935bda4bcf6783b2762f4e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Benoit Perthame

In Modeling and Simulation

1. St'ephane Mischler
2. Benoit Perthame
3. Philippe Michel
4. Pierre Gabriel
5. J. Scher
6. Marie Doumic-Jauffret
7. Bertrand Cloez
8. José Antonio Carrillo

In Public Health, Environmental and Occupational Health

1. Philippe Michel
2. Benoit Perthame
3. St'ephane Mischler
4. Sepideh Mirrahimi
5. Emeric Bouin

Citations in the corpus

• General relative entropy inequality: an illustration on growth models (2005, background): “This is the case of hematopoiesis ([1]) and also of example 3 below.”