A mathematical model of the stress induced during avascular tumour growth
Data up to Jan 2025
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