Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles

Esteban Vallejo; Gustavo Suárez; William Torres; Adolfo Uribe

doi:10.1007/978-3-030-00350-0_26

Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles

Esteban Vallejo
, Gustavo Suárez
, William Torres
, Adolfo Uribe

Research output: Chapter in Book/Conference proceeding › Conference and proceedings › peer-review

1 Scopus citations

Abstract

Colorectal adenocarcinoma is one of the carcinogenic diseases that most affects the health of the world population. This disease is manifested biologically by the segregation of biomarker substances in the human system. This paper presents the development of a numerical-mathematical model for the study of the diffuse behavior of particles segregated by this type of cancer. Flow conditions, characteristics and properties of the diffusive medium are determined, and the study domain is defined. A mathematical description is elaborated to represent the behavior of the phenomenon by means of constitutive laws of the biosystem. A numerical-computational algorithm is constructed that makes possible the analysis of the different behavioral conditions; in this paper one of the multiples settings is showed. The computational implementation is done using Taylor series defined by finite differences with a refinement of the grid that can be controlled by the user. In addition, a structural element is incorporated with which it is intended to evaluate the level of concentration in the structure-substance contact zone. As a platform for the implementation of the algorithm, Matlab program is used. The results have been plotted by surface curves. Concentration levels are obtained at three points of interest, including concentrations at the structure-substance contact point, with concentration values of 1∗10-6kgm3. The research is oriented in the search of an alternative that allows the detection of colorectal cancer in its early phase.

Original language	English
Title of host publication	Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings
Editors	Eduyn Ramiro Lopez-Santana, Juan Carlos Figueroa-Garcia, Jose Ignacio Rodriguez-Molano
Publisher	Springer Verlag
Pages	305-316
Number of pages	12
ISBN (Print)	9783030003494
DOIs	https://doi.org/10.1007/978-3-030-00350-0_26
State	Published - 13 Sep 2018
Event	5th Workshop on Engineering Applications, WEA 2018 - Medellín, Colombia Duration: 17 Oct 2018 → 19 Oct 2018

Publication series

Name	Communications in Computer and Information Science
Volume	915
ISSN (Print)	1865-0929

Conference

Conference	5th Workshop on Engineering Applications, WEA 2018
Country/Territory	Colombia
City	Medellín
Period	17/10/18 → 19/10/18

Bibliographical note

Publisher Copyright:
© 2018, Springer Nature Switzerland AG.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Colorectal adenocarcinoma
Diffusive behavior
Mathematical modeling
Numerical algorithm
Simulation

Types Minciencias

Artículos de investigación con calidad Q3

Access to Document

10.1007/978-3-030-00350-0_26

Cite this

Vallejo, E., Suárez, G., Torres, W., & Uribe, A. (2018). Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles. In E. R. Lopez-Santana, J. C. Figueroa-Garcia, & J. I. Rodriguez-Molano (Eds.), Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings (pp. 305-316). (Communications in Computer and Information Science; Vol. 915). Springer Verlag. https://doi.org/10.1007/978-3-030-00350-0_26

Vallejo, Esteban ; Suárez, Gustavo ; Torres, William et al. / Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles. Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. editor / Eduyn Ramiro Lopez-Santana ; Juan Carlos Figueroa-Garcia ; Jose Ignacio Rodriguez-Molano. Springer Verlag, 2018. pp. 305-316 (Communications in Computer and Information Science).

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title = "Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles",

abstract = "Colorectal adenocarcinoma is one of the carcinogenic diseases that most affects the health of the world population. This disease is manifested biologically by the segregation of biomarker substances in the human system. This paper presents the development of a numerical-mathematical model for the study of the diffuse behavior of particles segregated by this type of cancer. Flow conditions, characteristics and properties of the diffusive medium are determined, and the study domain is defined. A mathematical description is elaborated to represent the behavior of the phenomenon by means of constitutive laws of the biosystem. A numerical-computational algorithm is constructed that makes possible the analysis of the different behavioral conditions; in this paper one of the multiples settings is showed. The computational implementation is done using Taylor series defined by finite differences with a refinement of the grid that can be controlled by the user. In addition, a structural element is incorporated with which it is intended to evaluate the level of concentration in the structure-substance contact zone. As a platform for the implementation of the algorithm, Matlab program is used. The results have been plotted by surface curves. Concentration levels are obtained at three points of interest, including concentrations at the structure-substance contact point, with concentration values of 1∗10-6kgm3. The research is oriented in the search of an alternative that allows the detection of colorectal cancer in its early phase. {\textcopyright} 2018, Springer Nature Switzerland AG.",

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author = "Esteban Vallejo and Gustavo Su{\'a}rez and William Torres and Adolfo Uribe",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.; 5th Workshop on Engineering Applications, WEA 2018 ; Conference date: 17-10-2018 Through 19-10-2018",

year = "2018",

month = sep,

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Vallejo, E, Suárez, G, Torres, W & Uribe, A 2018, Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles. in ER Lopez-Santana, JC Figueroa-Garcia & JI Rodriguez-Molano (eds), Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. Communications in Computer and Information Science, vol. 915, Springer Verlag, pp. 305-316, 5th Workshop on Engineering Applications, WEA 2018, Medellín, Colombia, 17/10/18. https://doi.org/10.1007/978-3-030-00350-0_26

Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles. / Vallejo, Esteban; Suárez, Gustavo; Torres, William et al.
Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. ed. / Eduyn Ramiro Lopez-Santana; Juan Carlos Figueroa-Garcia; Jose Ignacio Rodriguez-Molano. Springer Verlag, 2018. p. 305-316 (Communications in Computer and Information Science; Vol. 915).

Research output: Chapter in Book/Conference proceeding › Conference and proceedings › peer-review

TY - GEN

T1 - Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles

AU - Vallejo, Esteban

AU - Suárez, Gustavo

AU - Torres, William

AU - Uribe, Adolfo

PY - 2018/9/13

Y1 - 2018/9/13

N2 - Colorectal adenocarcinoma is one of the carcinogenic diseases that most affects the health of the world population. This disease is manifested biologically by the segregation of biomarker substances in the human system. This paper presents the development of a numerical-mathematical model for the study of the diffuse behavior of particles segregated by this type of cancer. Flow conditions, characteristics and properties of the diffusive medium are determined, and the study domain is defined. A mathematical description is elaborated to represent the behavior of the phenomenon by means of constitutive laws of the biosystem. A numerical-computational algorithm is constructed that makes possible the analysis of the different behavioral conditions; in this paper one of the multiples settings is showed. The computational implementation is done using Taylor series defined by finite differences with a refinement of the grid that can be controlled by the user. In addition, a structural element is incorporated with which it is intended to evaluate the level of concentration in the structure-substance contact zone. As a platform for the implementation of the algorithm, Matlab program is used. The results have been plotted by surface curves. Concentration levels are obtained at three points of interest, including concentrations at the structure-substance contact point, with concentration values of 1∗10-6kgm3. The research is oriented in the search of an alternative that allows the detection of colorectal cancer in its early phase. © 2018, Springer Nature Switzerland AG.

AB - Colorectal adenocarcinoma is one of the carcinogenic diseases that most affects the health of the world population. This disease is manifested biologically by the segregation of biomarker substances in the human system. This paper presents the development of a numerical-mathematical model for the study of the diffuse behavior of particles segregated by this type of cancer. Flow conditions, characteristics and properties of the diffusive medium are determined, and the study domain is defined. A mathematical description is elaborated to represent the behavior of the phenomenon by means of constitutive laws of the biosystem. A numerical-computational algorithm is constructed that makes possible the analysis of the different behavioral conditions; in this paper one of the multiples settings is showed. The computational implementation is done using Taylor series defined by finite differences with a refinement of the grid that can be controlled by the user. In addition, a structural element is incorporated with which it is intended to evaluate the level of concentration in the structure-substance contact zone. As a platform for the implementation of the algorithm, Matlab program is used. The results have been plotted by surface curves. Concentration levels are obtained at three points of interest, including concentrations at the structure-substance contact point, with concentration values of 1∗10-6kgm3. The research is oriented in the search of an alternative that allows the detection of colorectal cancer in its early phase. © 2018, Springer Nature Switzerland AG.

KW - Colorectal adenocarcinoma

KW - Diffusive behavior

KW - Mathematical modeling

KW - Numerical algorithm

KW - Simulation

KW - Colorectal adenocarcinoma

KW - Diffusive behavior

KW - Mathematical modeling

KW - Numerical algorithm

KW - Simulation

UR - https://www.scopus.com/pages/publications/85054067302

U2 - 10.1007/978-3-030-00350-0_26

DO - 10.1007/978-3-030-00350-0_26

M3 - Ponencia publicada en las memorias del evento con ISBN

AN - SCOPUS:85054067302

SN - 9783030003494

T3 - Communications in Computer and Information Science

SP - 305

EP - 316

BT - Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings

A2 - Lopez-Santana, Eduyn Ramiro

A2 - Figueroa-Garcia, Juan Carlos

A2 - Rodriguez-Molano, Jose Ignacio

PB - Springer Verlag

T2 - 5th Workshop on Engineering Applications, WEA 2018

Y2 - 17 October 2018 through 19 October 2018

ER -

Vallejo E, Suárez G, Torres W, Uribe A. Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles. In Lopez-Santana ER, Figueroa-Garcia JC, Rodriguez-Molano JI, editors, Applied Computer Sciences in Engineering - 5th Workshop on Engineering Applications, WEA 2018, Proceedings. Springer Verlag. 2018. p. 305-316. (Communications in Computer and Information Science). doi: 10.1007/978-3-030-00350-0_26

Mathematical modeling and computational simulation of the diffusive behavior of adenocarcinoma biomarker particles

Abstract

Publication series

Conference

Bibliographical note

UN SDGs

Keywords

Types Minciencias

Access to Document

Fingerprint

Cite this