A group analysis via weak equivalence transformations for a model of tumor encapsulation

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Abstract

A symmetry reduction of a PDEs system, describing the expansive growth of a benign tumour, is obtained via a group analysis approach. The presence in the model of three arbitrary functions suggests the use of Lie symmetries by using the weak equivalence transformations. An invariant classification is given which allows us to reduce the initial PDEs system to an ODEs system. Numerical simulations show a realistic enough description of the physical process.
Lingua originaleEnglish
pagine (da-a)3835-3846
Numero di pagine12
RivistaJOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL
Volume37
Stato di pubblicazionePublished - 2004

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Equivalence Transformations
pulse detonation engines
Encapsulation
equivalence
Tumor
tumors
symmetry
Symmetry Reduction
Lie Symmetry
Physical process
Model
Numerical Simulation
Invariant
simulation
Arbitrary

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cita questo

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title = "A group analysis via weak equivalence transformations for a model of tumor encapsulation",
abstract = "A symmetry reduction of a PDEs system, describing the expansive growth of a benign tumour, is obtained via a group analysis approach. The presence in the model of three arbitrary functions suggests the use of Lie symmetries by using the weak equivalence transformations. An invariant classification is given which allows us to reduce the initial PDEs system to an ODEs system. Numerical simulations show a realistic enough description of the physical process.",
keywords = "tumor growth, Lie symmetries, weak equivalence transformations",
author = "Antonio Greco and Lombardo, {Maria Carmela} and Gaetana Gambino",
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AU - Lombardo, Maria Carmela

AU - Gambino, Gaetana

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AB - A symmetry reduction of a PDEs system, describing the expansive growth of a benign tumour, is obtained via a group analysis approach. The presence in the model of three arbitrary functions suggests the use of Lie symmetries by using the weak equivalence transformations. An invariant classification is given which allows us to reduce the initial PDEs system to an ODEs system. Numerical simulations show a realistic enough description of the physical process.

KW - tumor growth, Lie symmetries, weak equivalence transformations

UR - http://hdl.handle.net/10447/22010

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EP - 3846

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

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