Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer

Jiao Chen; Fred J. Vermolen

doi:10.1007/978-3-030-55874-1_25

Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer

Numerical Analysis

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

Abstract

Mathematical modeling sheds light on cancer research. In addition to reducing animal-based experiments, mathematical modeling is able to provide predictions and prevalidate hypotheses quantitatively. In this work, two different agent-based frameworks regarding cancer modeling are summarised. In contrast, cell-based models focus on the behavior of every single cell and presents the interaction of cells on a small scale, whereas, cellular automata models are used to simulate the interaction of cells with their microenvironment on a large tissue scale.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference
Editors	Fred J. Vermolen, Cornelis Vuik
Place of Publication	Cham
Publisher	Springer
Pages	265-274
Number of pages	10
ISBN (Electronic)	978-3-030-55874-1
ISBN (Print)	978-3-030-55873-4
DOIs	https://doi.org/10.1007/978-3-030-55874-1_25
Publication status	Published - 2021
Event	European Numerical Mathematics and Advanced Applications Conference 2019 - Hotel Zuiderduin , Egmond aan Zee, Netherlands Duration: 30 Sept 2019 → 4 Oct 2019 https://www.enumath2019.eu/

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	139
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	European Numerical Mathematics and Advanced Applications Conference 2019
Abbreviated title	ENUMATH 2019
Country/Territory	Netherlands
City	Egmond aan Zee
Period	30/09/19 → 4/10/19
Internet address	https://www.enumath2019.eu/

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10.1007/978-3-030-55874-1_25

Cite this

Chen, J., & Vermolen, F. J. (2021). Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer. In F. J. Vermolen, & C. Vuik (Eds.), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference (pp. 265-274). (Lecture Notes in Computational Science and Engineering; Vol. 139). Springer. https://doi.org/10.1007/978-3-030-55874-1_25

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title = "Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer",

abstract = "Mathematical modeling sheds light on cancer research. In addition to reducing animal-based experiments, mathematical modeling is able to provide predictions and prevalidate hypotheses quantitatively. In this work, two different agent-based frameworks regarding cancer modeling are summarised. In contrast, cell-based models focus on the behavior of every single cell and presents the interaction of cells on a small scale, whereas, cellular automata models are used to simulate the interaction of cells with their microenvironment on a large tissue scale.",

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Chen, J & Vermolen, FJ 2021, Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer. in FJ Vermolen & C Vuik (eds), Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Lecture Notes in Computational Science and Engineering, vol. 139, Springer, Cham, pp. 265-274, European Numerical Mathematics and Advanced Applications Conference 2019, Egmond aan Zee, Netherlands, 30/09/19. https://doi.org/10.1007/978-3-030-55874-1_25

Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer. / Chen, Jiao; Vermolen, Fred J.
Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. ed. / Fred J. Vermolen; Cornelis Vuik. Cham: Springer, 2021. p. 265-274 (Lecture Notes in Computational Science and Engineering; Vol. 139).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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AB - Mathematical modeling sheds light on cancer research. In addition to reducing animal-based experiments, mathematical modeling is able to provide predictions and prevalidate hypotheses quantitatively. In this work, two different agent-based frameworks regarding cancer modeling are summarised. In contrast, cell-based models focus on the behavior of every single cell and presents the interaction of cells on a small scale, whereas, cellular automata models are used to simulate the interaction of cells with their microenvironment on a large tissue scale.

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Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer

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