The triplex vaccine effects in mammary carcinoma: A nonlinear model in tune with SimTriplex

Carlo Bianca; Marzio Pennisi

doi:10.1016/j.nonrwa.2011.12.019

The triplex vaccine effects in mammary carcinoma: A nonlinear model in tune with SimTriplex

Carlo Bianca
, Marzio Pennisi

Research output: Contribution to journal › Article › peer-review

Abstract

This paper deals with the mathematical modeling of the mammary carcinomaimmune system competition elicited by an external stimulus represented by three different protocols of the triplex vaccine [C. De Giovanni, et al., Immunoprevention of HER-2/neu transgenic mammary carcinoma through an interleukin 12-engineered allogeneic cell vaccine, Cancer Research 64 (2004) 40014009]. The presented model is composed of nonlinear ordinary differential equations based on parameters and cell populations. A qualitative analysis of the asymptotic behavior of the model and numerical simulations are able to depict preclinical experiments on transgenic mice in tune with the SimTriplex model [F. Pappalardo, F. Castiglione, P.L. Lollini, S. Motta, Modelling and simulation of cancer immunoprevention vaccine, Bioinformatics 21 (2005) 28912897]. The results are of great interest both in the applied and theoretical sciences.

Original language	English
Pages (from-to)	1913-1940
Number of pages	28
Journal	Nonlinear Analysis: Real World Applications
Volume	13
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2011.12.019
Publication status	Published - Aug 2012
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Biological complexity
Mathematical biology
Nonlinear ODE
Population dynamics
Tumors

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10.1016/j.nonrwa.2011.12.019

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title = "The triplex vaccine effects in mammary carcinoma: A nonlinear model in tune with SimTriplex",

abstract = "This paper deals with the mathematical modeling of the mammary carcinomaimmune system competition elicited by an external stimulus represented by three different protocols of the triplex vaccine [C. De Giovanni, et al., Immunoprevention of HER-2/neu transgenic mammary carcinoma through an interleukin 12-engineered allogeneic cell vaccine, Cancer Research 64 (2004) 40014009]. The presented model is composed of nonlinear ordinary differential equations based on parameters and cell populations. A qualitative analysis of the asymptotic behavior of the model and numerical simulations are able to depict preclinical experiments on transgenic mice in tune with the SimTriplex model [F. Pappalardo, F. Castiglione, P.L. Lollini, S. Motta, Modelling and simulation of cancer immunoprevention vaccine, Bioinformatics 21 (2005) 28912897]. The results are of great interest both in the applied and theoretical sciences.",

keywords = "Biological complexity, Mathematical biology, Nonlinear ODE, Population dynamics, Tumors",

author = "Carlo Bianca and Marzio Pennisi",

note = "Funding Information: The first author was partially supported by the FIRB project-RBID08PP3J-Metodi matematici e relativi strumenti per la modellizzazione e la simulazione della formazione di tumori, competizione con il sistema immunitario, e conseguenti suggerimenti terapeutici. The research was also partially supported by the INDAM-GNFM-Young Researchers Project-prot.n.43-Mathematical Modelling for the Cancer–Immune System Competition Elicited by a Vaccine and by University of Catania under PRA grant . ",

year = "2012",

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doi = "10.1016/j.nonrwa.2011.12.019",

language = "English",

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journal = "Nonlinear Analysis: Real World Applications",

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AU - Bianca, Carlo

AU - Pennisi, Marzio

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PY - 2012/8

Y1 - 2012/8

N2 - This paper deals with the mathematical modeling of the mammary carcinomaimmune system competition elicited by an external stimulus represented by three different protocols of the triplex vaccine [C. De Giovanni, et al., Immunoprevention of HER-2/neu transgenic mammary carcinoma through an interleukin 12-engineered allogeneic cell vaccine, Cancer Research 64 (2004) 40014009]. The presented model is composed of nonlinear ordinary differential equations based on parameters and cell populations. A qualitative analysis of the asymptotic behavior of the model and numerical simulations are able to depict preclinical experiments on transgenic mice in tune with the SimTriplex model [F. Pappalardo, F. Castiglione, P.L. Lollini, S. Motta, Modelling and simulation of cancer immunoprevention vaccine, Bioinformatics 21 (2005) 28912897]. The results are of great interest both in the applied and theoretical sciences.

AB - This paper deals with the mathematical modeling of the mammary carcinomaimmune system competition elicited by an external stimulus represented by three different protocols of the triplex vaccine [C. De Giovanni, et al., Immunoprevention of HER-2/neu transgenic mammary carcinoma through an interleukin 12-engineered allogeneic cell vaccine, Cancer Research 64 (2004) 40014009]. The presented model is composed of nonlinear ordinary differential equations based on parameters and cell populations. A qualitative analysis of the asymptotic behavior of the model and numerical simulations are able to depict preclinical experiments on transgenic mice in tune with the SimTriplex model [F. Pappalardo, F. Castiglione, P.L. Lollini, S. Motta, Modelling and simulation of cancer immunoprevention vaccine, Bioinformatics 21 (2005) 28912897]. The results are of great interest both in the applied and theoretical sciences.

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KW - Mathematical biology

KW - Nonlinear ODE

KW - Population dynamics

KW - Tumors

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DO - 10.1016/j.nonrwa.2011.12.019

M3 - Article

SN - 1468-1218

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JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 4

ER -

The triplex vaccine effects in mammary carcinoma: A nonlinear model in tune with SimTriplex

Abstract

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Keywords

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