Literature DB >> 519702

A mathematical model of thrombopoiesis in rats.

H E Wichmann, M D Gerhardts, H Spechtmeyer, R Gross.   

Abstract

A mathematical model of thrombopoiesis in rats is presented. This has four compartments; stem cells, megakaryocytes, thrombocytes and thrombopoietin. A high thrombopoietin concentration influences bone marrow proliferation in three ways. Firstly the stem cells are stimulated and a slow increase in megakaryocyte number follows. Secondly there are additional endomitoses in the (early) megakaryocytes resulting in an increase in megakaryocyte volume. Thirdly the megakaryocyte maturation time is shortened. The parameters of the model are determined from experimental values for the normal, maximum and minimum proliferation rates, maturation times and destruction rates. The model is tested by comparing simulated results for acute and chronic thrombocytopenia and thrombocytosis with experimental curves from the literature. The model and data agree within the limits of experimental error. Not all of the thrombopoietic regulatory system is known yet, so some important alternative hypotheses are investigated and compared with the model. Several hypotheses have been excluded in this way.

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Year:  1979        PMID: 519702     DOI: 10.1111/j.1365-2184.1979.tb00176.x

Source DB:  PubMed          Journal:  Cell Tissue Kinet        ISSN: 0008-8730


  13 in total

1.  Basic pharmacodynamic models for agents that alter production of natural cells.

Authors:  W Krzyzanski; R Ramakrishnan; W J Jusko
Journal:  J Pharmacokinet Biopharm       Date:  1999-10

2.  Population cell life span models for effects of drugs following indirect mechanisms of action.

Authors:  Juan J Perez-Ruixo; Hui C Kimko; Andrew T Chow; Vladimir Piotrovsky; Wojciech Krzyzanski; William J Jusko
Journal:  J Pharmacokinet Pharmacodyn       Date:  2005-12       Impact factor: 2.745

3.  Flow-accelerated platelet biogenesis is due to an elasto-hydrodynamic instability.

Authors:  Christian Bächer; Markus Bender; Stephan Gekle
Journal:  Proc Natl Acad Sci U S A       Date:  2020-07-27       Impact factor: 11.205

4.  Normal and pathological dynamics of platelets in humans.

Authors:  Gabriel P Langlois; Morgan Craig; Antony R Humphries; Michael C Mackey; Joseph M Mahaffy; Jacques Bélair; Thibault Moulin; Sean R Sinclair; Liangliang Wang
Journal:  J Math Biol       Date:  2017-04-08       Impact factor: 2.259

Review 5.  Lifespan based indirect response models.

Authors:  Wojciech Krzyzanski; Juan Jose Perez Ruixo
Journal:  J Pharmacokinet Pharmacodyn       Date:  2012-01-03       Impact factor: 2.745

6.  How mathematical models can interpret and predict experimental results in haematology.

Authors:  H E Wichmann; R Gross
Journal:  Klin Wochenschr       Date:  1981-01-02

7.  [Thrombopoiesis, thrombocyte count and thrombocyte function before and following cell separation].

Authors:  H Linker; H D Reuter; G Eckers; H E Schaefer; W Glöckner; H Borberg; H E Wichmann
Journal:  Klin Wochenschr       Date:  1983-10-03

Review 8.  [Mathematical models in hematology].

Authors:  H E Wichmann; M Loeffler; P Herkenrath; M D Gerhardts; C Wesselborg; H Wulff
Journal:  Klin Wochenschr       Date:  1983-10-03

Review 9.  Dynamic hematological disease: a review.

Authors:  Catherine Foley; Michael C Mackey
Journal:  J Math Biol       Date:  2008-03-04       Impact factor: 2.259

Review 10.  Towards Quantitative Systems Pharmacology Models of Chemotherapy-Induced Neutropenia.

Authors:  M Craig
Journal:  CPT Pharmacometrics Syst Pharmacol       Date:  2017-04-18
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