Afractal attractor model in avascular tumor proliferation

T. T. Ivancevic; M. Bottema; L. C. Jain

Afractal attractor model in avascular tumor proliferation

T. T. Ivancevic
, M. Bottema
, L. C. Jain

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

Abstract

This chapter proposes a fractal attractor model of tumor growth and metastasis. It is a 4-dimensional spatio-temporal cancer model with strong nonlinear couplings. Even the same type of tumor is different in every patient both in size and appearance, as well as in temporal behavior. This is clearly a characteristic of dynamical systems sensitive to initial conditions. The new chaotic model of tumor growth and decay is biologically motivated. It has been developed as a live Mathematica demonstration, see Wolfram Demonstrator site: https://demonstrations.wolfram.com/ChaoticAttractorInTumorGrowth/

Original language	English
Title of host publication	Handbook on the Classification and Application Of Fractals
Editors	Kylie J. Brennan
Place of Publication	New York, USA
Publisher	Nova Science Publishers, Inc.
Pages	329-342
Number of pages	14
ISBN (Electronic)	9781624174933
ISBN (Print)	9781613241981
Publication status	Published - 2012
Externally published	Yes

Publication series

Name	Mathematics Research Developments

UN SDGs

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

SDG 3 Good Health and Well-being

Cite this

@inbook{d5294a5230d8494780e3a2f30423f047,

title = "Afractal attractor model in avascular tumor proliferation",

abstract = "This chapter proposes a fractal attractor model of tumor growth and metastasis. It is a 4-dimensional spatio-temporal cancer model with strong nonlinear couplings. Even the same type of tumor is different in every patient both in size and appearance, as well as in temporal behavior. This is clearly a characteristic of dynamical systems sensitive to initial conditions. The new chaotic model of tumor growth and decay is biologically motivated. It has been developed as a live Mathematica demonstration, see Wolfram Demonstrator site: https://demonstrations.wolfram.com/ChaoticAttractorInTumorGrowth/",

author = "Ivancevic, \{T. T.\} and M. Bottema and Jain, \{L. C.\}",

year = "2012",

language = "English",

isbn = "9781613241981",

series = " Mathematics Research Developments",

publisher = "Nova Science Publishers, Inc.",

pages = "329--342",

editor = "Brennan, \{Kylie J. \}",

booktitle = "Handbook on the Classification and Application Of Fractals",

address = "United States",

}

Afractal attractor model in avascular tumor proliferation. / Ivancevic, T. T.; Bottema, M.; Jain, L. C.
Handbook on the Classification and Application Of Fractals. ed. / Kylie J. Brennan. New York, USA: Nova Science Publishers, Inc., 2012. p. 329-342 ( Mathematics Research Developments).

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

TY - CHAP

T1 - Afractal attractor model in avascular tumor proliferation

AU - Ivancevic, T. T.

AU - Bottema, M.

AU - Jain, L. C.

PY - 2012

Y1 - 2012

N2 - This chapter proposes a fractal attractor model of tumor growth and metastasis. It is a 4-dimensional spatio-temporal cancer model with strong nonlinear couplings. Even the same type of tumor is different in every patient both in size and appearance, as well as in temporal behavior. This is clearly a characteristic of dynamical systems sensitive to initial conditions. The new chaotic model of tumor growth and decay is biologically motivated. It has been developed as a live Mathematica demonstration, see Wolfram Demonstrator site: https://demonstrations.wolfram.com/ChaoticAttractorInTumorGrowth/

AB - This chapter proposes a fractal attractor model of tumor growth and metastasis. It is a 4-dimensional spatio-temporal cancer model with strong nonlinear couplings. Even the same type of tumor is different in every patient both in size and appearance, as well as in temporal behavior. This is clearly a characteristic of dynamical systems sensitive to initial conditions. The new chaotic model of tumor growth and decay is biologically motivated. It has been developed as a live Mathematica demonstration, see Wolfram Demonstrator site: https://demonstrations.wolfram.com/ChaoticAttractorInTumorGrowth/

UR - https://www.scopus.com/pages/publications/84897307014

UR - http://www.novapublishers.org/catalog/product_info.php?products_id=38542

UR - https://trove.nla.gov.au/work/80975157/version/94253123?keyword=9781613241981

M3 - Chapter

AN - SCOPUS:84897307014

SN - 9781613241981

T3 - Mathematics Research Developments

SP - 329

EP - 342

BT - Handbook on the Classification and Application Of Fractals

A2 - Brennan, Kylie J.

PB - Nova Science Publishers, Inc.

CY - New York, USA

ER -

Afractal attractor model in avascular tumor proliferation

Abstract

Publication series

UN SDGs

Other files and links

Fingerprint

Cite this