A mathematical model for the growth of tumor cords incorporating the dynamics of a nutrient

Modelling cell populations with spatial structure: Steady state and treatment-induced evolution of tumour cords

May 2022

4nonemixedBertuzzi A; D'ONOFRIO A; Fasano A; Gandolfi ABertuzzi, A; D'Onofrio, A; Fasano, A; Gandolf...

Mathematical modelling of the growth of soft biological tissues

Lewis, Miranda Claire

January 2007

The work presented in this thesis is concerned with mathematically modelling the growth and developm...

Cell kinetics in a tumour cord

Bertuzzi, A.
Gandolfi, A.
Consiglio Nazionale delle Ricerche, Rome (Italy). Istituto di Analisi dei Sistemi ed Informatica

January 1998

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...

Amathematical model for the growth of tumor cords incorporating the dynamics of a nutrient

Bertuzzi, A.
Fasano, A.
Gandolfi, A.
Consiglio Nazionale delle Ricerche, Rome (Italy). Istituto di Analisi dei Sistemi ed Informatica

January 1999

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...

A MATHEMATICAL MODEL FOR THE GROWTH OF TUMOR CORDS INCORPORATING THE DYNAMICS OF A NUTRIENT

Istituto Di
Analisi Dei
Sistemi Informatica
A. Bertuzzi
A. Fasano
R. Ottobre

January 2016

We analyze the growth of a tumor cord in cylindrical symmetry, when nutrient is supplied by the cent...

Multiphase modeling and qualitative analysis of the growth of tumor cords

TOSIN, ANDREA

January 2008

In this paper a macroscopic model of tumor cord growth is developed, relying on the mathematical the...

Competition effects in the dynamics of tumor cords

Scalerandi, Marco
Capogrosso Sansone, Barbara
Benati, C.
Condat, Ca

January 2002

A general feature of cancer growth is the cellular competition for available nutrients. This is also...

Non-linear model of cancer growth and metastasis: a limiting nutrient as a major determinant of tumor shape and diffusion

G. P. Pescarmona
C. A. Condat
SCALERANDI, MARCO
DELSANTO, PIER PAOLO

January 1999

A new approach for modelling the spatio-temporal evolution of tumors is presented. To test its valid...

Cell kinetics in tumour cords studied by a model with variable cell cycle lenght

Bertuzzi, A.
Fasano, A.
Gandolfi, A.
Marangi, D.
Consiglio Nazionale delle Ricerche, Rome (Italy). Istituto di Analisi dei Sistemi ed Informatica

January 2000

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...

Mathematical model of tumour cord growth along the source of nutrient

S. Astanin
A. Tosin

June 2008

A mathematical model of the tumour growth along a blood vessel is proposed. The model employs the mi...

Mathematical modeling of avascular tumor growth

Mascheroni, Pietro

November 2016

Cancer is an extremely complex disease, both in terms of its causes and consequences to the body. Ca...

Analysis of a Mathematical Model of the Growth of Necrotic Tumors

Cui, Shangbin
Friedman, Avner

March 2001

AbstractIn this paper we study a model of necrotic tumor growth. The tumor comprises necrotic cells ...

Nutrient competition as a determinant for cancer growth

SCALERANDI, MARCO
DELSANTO, PIER PAOLO
Romano A
Pescarmona GP
Condat CA

January 1999

Competition for available nutrients is known to be crucial for cancer development. Based on this fac...

Mathematical Modelling of the Dynamics of Tumor Growth and its Optimal Control

Jannatun Irana Ira
Md. Shahidul Islam
J C Misra
Md. Kamrujjaman

November 2020

Abstract: In the last few decades, the dynamics of tumor cells and their growths are presented via c...

A new mathematical model for avascular tumour growth

Sherratt, Jonathan A.
Chaplain, Mark A. J.

January 2001

The early development of solid tumours has been extensively studied, both experimentally via the mul...

Modelling cell populations with spatial structure: Steady state and treatment-induced evolution of tumour cords

May 2022

4nonemixedBertuzzi A; D'ONOFRIO A; Fasano A; Gandolfi ABertuzzi, A; D'Onofrio, A; Fasano, A; Gandolf...

Mathematical modelling of the growth of soft biological tissues

Lewis, Miranda Claire

January 2007

The work presented in this thesis is concerned with mathematically modelling the growth and developm...

Cell kinetics in a tumour cord

Bertuzzi, A.
Gandolfi, A.
Consiglio Nazionale delle Ricerche, Rome (Italy). Istituto di Analisi dei Sistemi ed Informatica

January 1998

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...

Amathematical model for the growth of tumor cords incorporating the dynamics of a nutrient

Bertuzzi, A.
Fasano, A.
Gandolfi, A.
Consiglio Nazionale delle Ricerche, Rome (Italy). Istituto di Analisi dei Sistemi ed Informatica

January 1999

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...

A MATHEMATICAL MODEL FOR THE GROWTH OF TUMOR CORDS INCORPORATING THE DYNAMICS OF A NUTRIENT

Istituto Di
Analisi Dei
Sistemi Informatica
A. Bertuzzi
A. Fasano
R. Ottobre

January 2016

We analyze the growth of a tumor cord in cylindrical symmetry, when nutrient is supplied by the cent...

Multiphase modeling and qualitative analysis of the growth of tumor cords

TOSIN, ANDREA

January 2008

In this paper a macroscopic model of tumor cord growth is developed, relying on the mathematical the...

Competition effects in the dynamics of tumor cords

Scalerandi, Marco
Capogrosso Sansone, Barbara
Benati, C.
Condat, Ca

January 2002

A general feature of cancer growth is the cellular competition for available nutrients. This is also...

Non-linear model of cancer growth and metastasis: a limiting nutrient as a major determinant of tumor shape and diffusion

G. P. Pescarmona
C. A. Condat
SCALERANDI, MARCO
DELSANTO, PIER PAOLO

January 1999

A new approach for modelling the spatio-temporal evolution of tumors is presented. To test its valid...

Cell kinetics in tumour cords studied by a model with variable cell cycle lenght

Bertuzzi, A.
Fasano, A.
Gandolfi, A.
Marangi, D.
Consiglio Nazionale delle Ricerche, Rome (Italy). Istituto di Analisi dei Sistemi ed Informatica

January 2000

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7, Rome / CNR - Consiglio...

Mathematical model of tumour cord growth along the source of nutrient

S. Astanin
A. Tosin

June 2008

A mathematical model of the tumour growth along a blood vessel is proposed. The model employs the mi...

Mathematical modeling of avascular tumor growth

Mascheroni, Pietro

November 2016

Cancer is an extremely complex disease, both in terms of its causes and consequences to the body. Ca...

Analysis of a Mathematical Model of the Growth of Necrotic Tumors

Cui, Shangbin
Friedman, Avner

March 2001

AbstractIn this paper we study a model of necrotic tumor growth. The tumor comprises necrotic cells ...

Nutrient competition as a determinant for cancer growth

SCALERANDI, MARCO
DELSANTO, PIER PAOLO
Romano A
Pescarmona GP
Condat CA

January 1999

Competition for available nutrients is known to be crucial for cancer development. Based on this fac...

Mathematical Modelling of the Dynamics of Tumor Growth and its Optimal Control

Jannatun Irana Ira
Md. Shahidul Islam
J C Misra
Md. Kamrujjaman

November 2020

Abstract: In the last few decades, the dynamics of tumor cells and their growths are presented via c...

A new mathematical model for avascular tumour growth

Sherratt, Jonathan A.
Chaplain, Mark A. J.

January 2001

The early development of solid tumours has been extensively studied, both experimentally via the mul...

Modelling cell populations with spatial structure: Steady state and treatment-induced evolution of tumour cords

May 2022

4nonemixedBertuzzi A; D'ONOFRIO A; Fasano A; Gandolfi ABertuzzi, A; D'Onofrio, A; Fasano, A; Gandolf...

Mathematical modelling of the growth of soft biological tissues

Lewis, Miranda Claire

January 2007

The work presented in this thesis is concerned with mathematically modelling the growth and developm...

Cell kinetics in a tumour cord

Bertuzzi, A.
Gandolfi, A.
Consiglio Nazionale delle Ricerche, Rome (Italy). Istituto di Analisi dei Sistemi ed Informatica

January 1998

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio ...

A mathematical model for the growth of tumor cords incorporating the dynamics of a nutrient

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A mathematical model for the growth of tumor cords incorporating the dynamics of a nutrient

Abstract

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