A class of mathematical models involving a convection-reaction partial differential equation (PDE) is introduced with reference to recovering human granulopoiesis after high dose chemotherapy with stem cell support. The stability properties of the model are addressed by means of numerical investigations and analysis. A simplified model with proliferation rate and mobilization rate independent o...

We review the basic pathology of cyclical neutropenia in both humans and the grey collie, and examine the role that mathematical modeling of hematopoietic cell production has played in our understanding of the origins of this fascinating dynamical disease.

The kinetics of neutrophilic granulocytes half disappearance time shortened to 2.3 hr. and monocytes were examined simulMoreover, the intravascular granulocyte dietaneously in a patient suffering from cyclic tribution changed in favor of the marginal neutropenia. During the remission phase of granulocyte pool. During the neutropenic the disease the observed kinetic data for phase, the intravasc...

INTRODUCTION Felty's syndrome is an uncommon but severe extra-articular manifestation of rheumatoid arthritis. Felty's syndrome is characterized by the triad of rheumatoid arthritis, neutropenia, and splenomegaly. The lifetime risk of Felty's syndrome for a rheumatoid arthritis patient is less than 1% and there are only few case reports of Felty's syndrome with neutropenia preceded clinical evi...

A 16-month-old male patient with cyclic neutropenia was found to have cyclic fluctuations of monocytes, lymphocytes, platelets, and eosinophils in the peripheral blood. Changes in lymphocyte counts were not obviously related to B, T, or natural killer cells. All classes of immunoglobulins were elevated throughout the cycle. Studies of the marrow morphology revealed remarkable cyclic oscillation...

Sir, Hematopoiesis has been suggested to show a cyclic behavior under both normal and pathologic conditions,1-3 although other studies have not confirmed such a hypothesis.4,5 We report a peculiar case characterized by cyclic oscillations of neutrophils, monocytes and CD8+ lymphocytes in an asymptomatic subject. These findings suggest the existence of periodic hematopoiesis with a clinical expr...