Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
High Order Whitney Forms on Simplices and the Question of Potentials Read chapter Read first chapter

2021 | OriginalPaper | Chapter

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

Authors : Jiao Chen, Fred J. Vermolen

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Numerical Study of the Fracture Diffusion-Dispersion Coefficient for Passive Transport in Fractured Porous Media
next chapter Error Bounds for Some Approximate Posterior Measures in Bayesian Inference
Literature
1.
A Charania and D DePasquale. Economic modeling of future space markets. In NewSpace 2006 Conference, Las Vegas, Nevada, 2006.
2.
Jiao Chen, Daphne Weihs, and Fred J Vermolen. A cellular automata model of oncolytic virotherapy in pancreatic cancer. Bulletin of Mathematical Biology, 82(8):1–25, 2020.
3.
Jiao Chen, Daphne Weihs, Marcel Van Dijk, and Fred J Vermolen. A phenomenological model for cell and nucleus deformation during cancer metastasis. Biomechanics and modeling in mechanobiology, 17 (5): 1429–1450, 2018a.
4.
Jiao Chen, Daphne Weihs, and Fred J Vermolen. Monte Carlo uncertainty quantification in modelling cell deformation during cancer metastasis. Proceedings of the CMBBE2018, 2018b.
5.
Jiao Chen, Daphne Weihs, and Fred J Vermolen. Computational modeling of therapy on pancreatic cancer in its early stages. Biomechanics and modeling in mechanobiology, pages 1–18, 2019.
6.
David E Durrant, Anindita Das, Samya Dyer, Seyedmehrad Tavallai, Paul Dent, and Rakesh C Kukreja. Targeted inhibition of phosphoinositide 3-kinase/mammalian target of rapamycin sensitizes pancreatic cancer cells to doxorubicin without exacerbating cardiac toxicity. Molecular pharmacology, 88 (3): 512–523, 2015.
7.
John Hammersley. Monte Carlo methods. Springer Science & Business Media, 2013.
8.
Charles M Macal and Michael J North. Tutorial on agent-based modeling and simulation. In Proceedings of the Winter Simulation Conference, 2005., pages 14–pp. IEEE, 2005.
9.
Michael J Plank and Matthew J Simpson. Models of collective cell behaviour with crowding effects: comparing lattice-based and lattice-free approaches. Journal of the Royal Society Interface, 9 (76): 2983–2996, 2012.
10.
Alessandro Troisi, Vance Wong, and Mark A Ratner. An agent-based approach for modeling molecular self-organization. Proceedings of the National Academy of Sciences, 102 (2): 255–260, 2005.
11.
Paul Van Liedekerke, MM Palm, N Jagiella, and Dirk Drasdo. Simulating tissue mechanics with agent-based models: concepts, perspectives and some novel results. Computational particle mechanics, 2 (4): 401–444, 2015.
Metadata
Title
Several Agent-Based and Cellular Automata Mathematical Frameworks for Modeling Pancreatic Cancer
Authors
Jiao Chen
Fred J. Vermolen
Copyright Year
2021
Book
Numerical Mathematics and Advanced Applications ENUMATH 2019

Print ISBN: 978-3-030-55873-4

Electronic ISBN: 978-3-030-55874-1

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-55874-1_25

Premium Partner

    Image Credits