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Bifurcations in a white-blood-cell production model
- Source :
- Comptes Rendus Biologies, Comptes Rendus Biologies, Elsevier, 2004, 327 (3), pp.201-10
- Publication Year :
- 2004
- Publisher :
- Elsevier BV, 2004.
-
Abstract
- International audience; We study the dynamics of a model of white-blood-cell (WBC) production. The model consists of two compartmental differential equations with two discrete delays. We show that from normal to pathological parameter values, the system undergoes supercritical Hopf bifurcations and saddle-node bifurcations of limit cycles. We characterize the steady states of the system and perform a bifurcation analysis. Our results indicate that an increase in apoptosis rate of either hematopoietic stem cells or WBC precursors induces a Hopf bifurcation and an oscillatory regime takes place. These oscillations are seen in some hematological diseases.
- Subjects :
- Periodicity
MESH: Periodicity
Differential equation
Quantitative Biology::Tissues and Organs
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
MESH: Hematopoiesis
[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]
Apoptosis
Models, Biological
General Biochemistry, Genetics and Molecular Biology
MESH: Hematopoietic Stem Cells
Quantitative Biology::Cell Behavior
MESH: Dogs
MESH: Leukocytes
Leukocyte Count
symbols.namesake
Dogs
White blood cell
Leukocytes
medicine
Animals
MESH: Animals
Bifurcation
[INFO.INFO-BI] Computer Science [cs]/Bioinformatics [q-bio.QM]
Hopf bifurcation
[SDV.BIBS] Life Sciences [q-bio]/Quantitative Methods [q-bio.QM]
General Immunology and Microbiology
MESH: Apoptosis
Dynamics (mechanics)
Mathematical analysis
MESH: Mathematics
MESH: Models, Biological
General Medicine
Delay differential equation
Hematopoietic Stem Cells
MESH: Hematologic Diseases
Hematologic Diseases
[SDV.BIBS]Life Sciences [q-bio]/Quantitative Methods [q-bio.QM]
Hematopoiesis
medicine.anatomical_structure
Bifurcation analysis
MESH: Leukocyte Count
Production model
symbols
[INFO.INFO-BI]Computer Science [cs]/Bioinformatics [q-bio.QM]
General Agricultural and Biological Sciences
Mathematics
Subjects
Details
- ISSN :
- 16310691
- Volume :
- 327
- Database :
- OpenAIRE
- Journal :
- Comptes Rendus Biologies
- Accession number :
- edsair.doi.dedup.....36ebbe05a0a8d4b289fc7932e305f2e4
- Full Text :
- https://doi.org/10.1016/j.crvi.2003.05.005