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Numerical integration of an erythropoiesis model with explicit growth factor dynamics.

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Title: Numerical integration of an erythropoiesis model with explicit growth factor dynamics.
Authors: Angulo, O.1, Crauste, F.2,3, López-Marcos, J.C.4
Source: Journal of Computational & Applied Mathematics. Mar2018, Vol. 330, p770-782. 13p.
Subjects: Erythropoiesis, Numerical integration, Growth factors, Erythrocytes, Progenitor cells, Glucocorticoids
Abstract: Erythropoiesis, the red blood cell production process, involves interactions between cell populations with different differentiation states, mainly immature progenitor cells and mature erythrocytes, and growth factors such as erythropoietin and glucocorticoids, known to respectively inhibit cell apoptosis, stimulate proliferation and differentiation, and stimulate self-renewal. The feedback regulation of this process allows a very fast and efficient recovery in the case of a severe anemia. We consider an age-structured model of red blood cell production accounting for these feedback regulations and the dynamics of growth factors. We theoretically show the existence of a unique positive steady state for the model and we propose a numerical method to obtain an approximation to its solution. Experiments are reported to show numerically, on one hand, the optimal convergence order of the numerical scheme and, on the other hand, a fine approximation to real experimental data, with a suitable selection of the parameters involved. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 125943965
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Numerical integration of an erythropoiesis model with explicit growth factor dynamics.
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  Data: <searchLink fieldCode="AR" term="%22Angulo%2C+O%2E%22">Angulo, O.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Crauste%2C+F%2E%22">Crauste, F.</searchLink><relatesTo>2,3</relatesTo><br /><searchLink fieldCode="AR" term="%22López-Marcos%2C+J%2EC%2E%22">López-Marcos, J.C.</searchLink><relatesTo>4</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. Mar2018, Vol. 330, p770-782. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Erythropoiesis%22">Erythropoiesis</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+integration%22">Numerical integration</searchLink><br /><searchLink fieldCode="DE" term="%22Growth+factors%22">Growth factors</searchLink><br /><searchLink fieldCode="DE" term="%22Erythrocytes%22">Erythrocytes</searchLink><br /><searchLink fieldCode="DE" term="%22Progenitor+cells%22">Progenitor cells</searchLink><br /><searchLink fieldCode="DE" term="%22Glucocorticoids%22">Glucocorticoids</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Erythropoiesis, the red blood cell production process, involves interactions between cell populations with different differentiation states, mainly immature progenitor cells and mature erythrocytes, and growth factors such as erythropoietin and glucocorticoids, known to respectively inhibit cell apoptosis, stimulate proliferation and differentiation, and stimulate self-renewal. The feedback regulation of this process allows a very fast and efficient recovery in the case of a severe anemia. We consider an age-structured model of red blood cell production accounting for these feedback regulations and the dynamics of growth factors. We theoretically show the existence of a unique positive steady state for the model and we propose a numerical method to obtain an approximation to its solution. Experiments are reported to show numerically, on one hand, the optimal convergence order of the numerical scheme and, on the other hand, a fine approximation to real experimental data, with a suitable selection of the parameters involved. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.cam.2017.01.033
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 770
    Subjects:
      – SubjectFull: Erythropoiesis
        Type: general
      – SubjectFull: Numerical integration
        Type: general
      – SubjectFull: Growth factors
        Type: general
      – SubjectFull: Erythrocytes
        Type: general
      – SubjectFull: Progenitor cells
        Type: general
      – SubjectFull: Glucocorticoids
        Type: general
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      – TitleFull: Numerical integration of an erythropoiesis model with explicit growth factor dynamics.
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            NameFull: Crauste, F.
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            NameFull: López-Marcos, J.C.
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            – D: 01
              M: 03
              Text: Mar2018
              Type: published
              Y: 2018
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              Value: 330
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