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Analysis of institutional authors

Ignacio Tello, J.Author

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June 9, 2019
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Numerical resolution of a reinforced random walk model arising in haptotaxis

Publicated to: APPLIED MATHEMATICS AND COMPUTATION. 256 415-424 - 2015-04-01 256(), DOI: 10.1016/j.amc.2015.01.043

Authors:

Muñoz, AI; Tello, JI
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Affiliations

Univ Politecn Madrid, Dept Matemat Aplicada, EUI - Author
Univ Rey Juan Carlos, Dept Matemat Aplicada Ciencia & Ingn Mat & Tecnol - Author

Abstract

In this paper we study the numerical resolution of a reinforced random walk model arising in haptotaxis and the stabilization of solutions. The model consists of a system of two differential equations, one parabolic equation with a second order non-linear term (haptotaxis term) coupled to an ODE in a bounded two dimensional domain. We assume radial symmetry of the solutions. The scheme of resolution is based on the application of the characteristics method together with a finite element one. We present some numerical simulations which illustrate some features of the numerical stabilization of solutions. (C) 2015 Elsevier Inc. All rights reserved.
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Keywords

AggregationAngiogenesisCharacteristics methodChemotaxisDiffusionFinite element methodHaptotaxisOdeOde characteristics methodParabolic pdeStabilization of solutionsTaxisTumor

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal APPLIED MATHEMATICS AND COMPUTATION due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2015, it was in position 54/254, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2026-04-26:

  • WoS: 3
  • Scopus: 1
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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-26:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/44789/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 363
  • Downloads: 305
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Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (TELLO DEL CASTILLO, JOSE IGNACIO).

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Awards linked to the item

The first author is partially supported by Research Projects MTM2011-26016 (MICINN) and TEC2012-39095-C03-02. The second author is partially supported by Research Project MTM2013-42907-P.
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