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A mathematical model of the stress induced during avascular tumour growth

Data up to Jan 2025

Published2000
Citations102
References31

Total Citations Per Year

Abstract

References (31)

Apoptosis: A Basic Biological Phenomenon with Wideranging Implications in Tissue Kinetics

1972 • 15,349 citations

Introduction to the mechanics of a continuous medium

1969 • 3,951 citations

Hypoxia-mediated selection of cells with diminished apoptotic potential in solid tumours

1996 • 2,304 citations

Cell and Environment Interactions in Tumor Microregions: The Multicell Spheroid Model

1988 • 1,755 citations

Shrinkage necrosis: A distinct mode of cellular death

1971 • 1,448 citations

Continuous and Discrete Mathematical Models of Tumor-induced Angiogenesis

1998 • 1,082 citations

SELF-REGULATION OF GROWTH IN THREE DIMENSIONS

1973 • 811 citations

Solid stress inhibits the growth of multicellular tumor spheroids

1997 • 801 citations

Mathematical modelling of avascular-tumour growth

1997 • 367 citations

Traction forces of cytokinesis measured with optically modified elastic substrata

1997 • 330 citations

Analysis of a mathematical model for the growth of tumors

1999 • 279 citations

Tumor-related angiogenesis

1989 • 256 citations

Modelling the role of cell-cell adhesion in the growth and development of carcinomas

1996 • 219 citations

Multiphase Poroelastic Finite Element Models for Soft Tissue Structures

1992 • 199 citations

Compatibility and the genesis of residual stress by volumetric growth

1996 • 189 citations

Growth and Cellular Characteristics of Multicell Spheroids

1984 • 163 citations

Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions

1995 • 159 citations

A mathematical model of tumor growth. II. effects of geometry and spatial nonuniformity on stability

1987 • 133 citations

Extracellular matrix concentration exerts selection pressure on invasive cells

1999 • 112 citations

Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies

1997 • 112 citations

Oncogenes, anti-oncogenes and the immune response to cancer : a mathematical model

1992 • 96 citations

Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory

1993 • 93 citations

Apoptosis as a volume loss mechanism in mathematical models of solid tumor growth

1978 • 91 citations

Angiogenesis and inflammation

1999 • 84 citations

A new approach to modelling the formation of necrotic regions in tumours

1998 • 80 citations

Tumour dynamics and necrosis: surface tension and stability

2001 • 73 citations

Necrosis and Apoptosis: Distinct Cell Loss Mechanisms in a Mathematical Model of Avascular Tumour Growth

1997 • 50 citations

AVASCULAR TUMOUR DYNAMICS AND NECROSIS

1999 • 42 citations

A model for the volumetric growth of a soft tissue

1997 • 15 citations

Development and Validation of a Mathematical Model to Describe Anti-Cancer Prodrug Activation by Antibody-Enzyme Conjugates

1999 • 9 citations

Fluid transport in vascularized tumours and metastasis

1998 • 7 citations

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A mathematical model of the stress induced during avascular tumour growth (2000) – Journal of Mathematical Biology | Metascience Observatory Explorer