A Mathematical Model of Neutrophil Production and Control in Normal Man

Overview

Journal J Math Biol

Date 2017 Mar 18

PMID 28303306

Citations 22

Authors

S I Rubinow

J L Lebowitz

Affiliations

Soon will be listed here.

Abstract

A comprehensive mathematical model of neutrophil production in normal man is presented. The model incorporates three control elements which regulate homeostatically the rates of release of marrow cells to proliferation, maturation, and to the blood. The steady state properties of the model are demonstrated analytically. The basic equations of the model, which are nonlinear, have been integrated numerically. The solutions so obtained display graphically the dynamical response of the system to various perturbations, which simulate experimental investigations that have been made in the past of granulocytopoiesis. By an appropriate choice of values of the parameters characterizing the system, it is shown how most of the principal kinetic properties of the neutrophil production and control system are represented in a quantitative manner.

Citing Articles

Stem cell graft dose and composition could impact on the expansion of donor-derived clones after allogeneic hematopoietic stem cell transplantation - a virtual clinical trial.

Stiehl T Front Immunol. 2024; 15:1321336.

PMID: 39737169 PMC: 11682905. DOI: 10.3389/fimmu.2024.1321336.

Modelling post-chemotherapy stem cell dynamics in the bone marrow niche of AML patients.

Zhu C, Stiehl T Sci Rep. 2024; 14(1):25060.

PMID: 39443599 PMC: 11500015. DOI: 10.1038/s41598-024-75429-7.

Comparison of Predator-Prey Model and Hawk-Dove Game for Modelling Leukemia.

Sultana M, Khan F, Khalid M, Al-Moneef A, Ali A, Bazighifan O Comput Intell Neurosci. 2022; 2022:9957514.

PMID: 36188674 PMC: 9522487. DOI: 10.1155/2022/9957514.

Multistage hematopoietic stem cell regulation in the mouse: A combined biological and mathematical approach.

Bonnet C, Gou P, Girel S, Bansaye V, Lacout C, Bailly K iScience. 2021; 24(12):103399.

PMID: 34877482 PMC: 8627979. DOI: 10.1016/j.isci.2021.103399.

Cell Cycle Heritability and Localization Phase Transition in Growing Populations.

Nozoe T, Kussell E Phys Rev Lett. 2021; 125(26):268103.

PMID: 33449732 PMC: 8528515. DOI: 10.1103/PhysRevLett.125.268103.

References

Lin M, BOURONCLE B . The size and transit time of nondividing subpool of precursor cells in acute leukemia. Blood. 1967; 29(1):63-76. View

LUNDMARK K . Bone marrow cell proliferation in health and in haematological disease during childhood. Acta Paediatr Scand. 1966; :Suppl 162:1-88. View

CRADDOCK Jr C, Perry S, Lawrence J . The dynamics of leukopoiesis and leukocytosis, as studied by leukopheresis and isotopic techniques. J Clin Invest. 1956; 35(3):285-96. PMC: 438809. DOI: 10.1172/JCI103276. View

KILLMANN S, CRONKITE E, FLIEDNER T, BOND V . MITOTIC INDICES OF HUMAN BONE MARROW CELLS. 3. DURATION OF SOME PHASES OF ERYTHROCYTIC AND GRANULOCYTIC PROLIFERATION COMPUTED FROM MITOTIC INDICES. Blood. 1964; 24:267-80. View

Lawrence J, CRADDOCK Jr C . Stem cell competition: the response to antineutrophilic serum as affected by hemorrhage. J Lab Clin Med. 1968; 72(5):731-8. View

Morley A, STOHLMAN Jr F . Studies on the regulation of granulopoiesis. I. The response to neutropenia. Blood. 1970; 35(3):312-21. View

Kuroyanagi T, Saito M . PROLIFERATIVE OF LEUKEMIC CELLS STUDIED WITH TRITIATED THYMIDINE IN VITRO. Tohoku J Exp Med. 1963; 80:168-74. DOI: 10.1620/tjem.80.168. View

LAJTHA L, Gilbert C, PORTEOUS D, Alexanian R . KINETICS OF A BONE-MARROW STEM-CELL POPULATION. Ann N Y Acad Sci. 1964; 113:742-52. DOI: 10.1111/j.1749-6632.1964.tb40701.x. View

Morley A . A neutrophil cycle in healthy individuals. Lancet. 1966; 2(7475):1220-2. DOI: 10.1016/s0140-6736(66)92303-8. View

10.

Stryckmans P, CRONKITE E, Fache J, FLIEDNER T, Ramos J . Deoxyribonucleic acid synthesis time of erythropoietic and granulopoietic cells in human beings. Nature. 1966; 211(5050):717-20. DOI: 10.1038/211717a0. View

11.

SCHERBAUM O, Rasch G . Cell size distribution and single cell growth in Tetrahymena pyriformis GL. Acta Pathol Microbiol Scand. 1957; 41(3):161-82. DOI: 10.1111/j.1699-0463.1957.tb01014.x. View

12.

Till J, McCulloch E . A direct measurement of the radiation sensitivity of normal mouse bone marrow cells. Radiat Res. 1961; 14:213-22. View

13.

Warner H, Athens J . AN ANALYSIS OF GRANULOCYTE KINETICS IN BLOOD AND BONE MARROW. Ann N Y Acad Sci. 1964; 113:523-36. DOI: 10.1111/j.1749-6632.1964.tb40689.x. View

14.

Mauri C, Torelli U, Artusi T, Grossi G, Emilia G . [Radioautographic studies on the RNA and protein metabolism of immature cells in acute leukemia. Preliminary report]. Schweiz Med Wochenschr. 1965; 95(44):1485-7. View

15.

van Bekkum D, Van Noord M, Maat B, Dicke K . Attempts at identification of hemopoietic stem cell in mouse. Blood. 1971; 38(5):547-58. View

16.

Gordon A, HANDLER E, SIEGEL C, DORNFEST B, LOBUE J . PLASMA FACTORS INFLUENCING LEUKOCYTE RELEASE IN RATS. Ann N Y Acad Sci. 1964; 113:766-89. DOI: 10.1111/j.1749-6632.1964.tb40703.x. View

17.

BOGGS D, Athens J, CARTWRIGHT G, Wintrobe M . LEUKOKINETIC STUDIES. IX. EXPERIMENTAL EVALUATION OF A MODEL OF GRANULOPOIESIS. J Clin Invest. 1965; 44:643-56. PMC: 292539. DOI: 10.1172/JCI105177. View

18.

Donohue D, REIFF R, Hanson M, BETSON Y, Finch C . Quantitative measurement of the erythrocytic and granulocytic cells of the marrow and blood. J Clin Invest. 1958; 37(11):1571-6. PMC: 1062840. DOI: 10.1172/JCI103750. View

19.

Dale D, Alling D, Wolff S . Application of time series analysis to serial blood neutrophil counts in normal individuals and patients receiving cyclophosphamide. Br J Haematol. 1973; 24(1):57-644. DOI: 10.1111/j.1365-2141.1973.tb05727.x. View

20.

Schmid J, Kiely J, TAUXE W, OWEN Jr C . In vitro DNA and RNA synthesis in human bone marrow cells: a study of 12 normal subjects and 12 patients with lymphoplasmocytic disorders. Blood. 1966; 27(3):310-8. View