A second-order numerical method for a cell population model with asymmetric division.
Saved in:
| Title: | A second-order numerical method for a cell population model with asymmetric division. |
|---|---|
| Authors: | Angulo, O.1 oscar@mat.uva.es, López-Marcos, J.C.2 lopezmar@mac.uva.es, López-Marcos, M.A.2 malm@mac.uva.es |
| Source: | Journal of Computational & Applied Mathematics. Jan2017, Vol. 309, p522-531. 10p. |
| Subjects: | Cell populations, Cell growth, Numerical integration, Curves, Computer simulation, Approximation theory |
| Abstract: | Population balance models represent an accurate and general way of describing the complicated dynamics of cell growth. In this paper we study the numerical integration of a model for the evolution of a size-structured cell population with asymmetric division. We present and analyze a novel and efficient second-order numerical method based on the integration along the characteristic curves. We prove the optimal rate of convergence of the scheme and we ratify it by numerical simulation. Finally, we show that the numerical scheme serves as a valuable tool in order to approximate the stable size distribution of the model. [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 |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 117644756 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: A second-order numerical method for a cell population model with asymmetric division. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Angulo%2C+O%2E%22">Angulo, O.</searchLink><relatesTo>1</relatesTo><i> oscar@mat.uva.es</i><br /><searchLink fieldCode="AR" term="%22López-Marcos%2C+J%2EC%2E%22">López-Marcos, J.C.</searchLink><relatesTo>2</relatesTo><i> lopezmar@mac.uva.es</i><br /><searchLink fieldCode="AR" term="%22López-Marcos%2C+M%2EA%2E%22">López-Marcos, M.A.</searchLink><relatesTo>2</relatesTo><i> malm@mac.uva.es</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. Jan2017, Vol. 309, p522-531. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Cell+populations%22">Cell populations</searchLink><br /><searchLink fieldCode="DE" term="%22Cell+growth%22">Cell growth</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+integration%22">Numerical integration</searchLink><br /><searchLink fieldCode="DE" term="%22Curves%22">Curves</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Population balance models represent an accurate and general way of describing the complicated dynamics of cell growth. In this paper we study the numerical integration of a model for the evolution of a size-structured cell population with asymmetric division. We present and analyze a novel and efficient second-order numerical method based on the integration along the characteristic curves. We prove the optimal rate of convergence of the scheme and we ratify it by numerical simulation. Finally, we show that the numerical scheme serves as a valuable tool in order to approximate the stable size distribution of the model. [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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=117644756 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.cam.2016.03.008 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 522 Subjects: – SubjectFull: Cell populations Type: general – SubjectFull: Cell growth Type: general – SubjectFull: Numerical integration Type: general – SubjectFull: Curves Type: general – SubjectFull: Computer simulation Type: general – SubjectFull: Approximation theory Type: general Titles: – TitleFull: A second-order numerical method for a cell population model with asymmetric division. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Angulo, O. – PersonEntity: Name: NameFull: López-Marcos, J.C. – PersonEntity: Name: NameFull: López-Marcos, M.A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2017 Type: published Y: 2017 Identifiers: – Type: issn-print Value: 03770427 Numbering: – Type: volume Value: 309 Titles: – TitleFull: Journal of Computational & Applied Mathematics Type: main |
| ResultId | 1 |
