Intercellular adhesion and cancer invasion: A discrete simulation using the extended potts model

Journal of Theoretical Biology

Volumn 216, Issue 1, 2002, Pages 85-100

  Turner, Stephen ^a   Sherratt, Jonathan A ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

PROTEINASE;

CANCER; MODEL;

ALGORITHM; ANALYTIC METHOD; ARTICLE; CANCER CELL; CANCER INVASION; CARCINOGENESIS; CELL ADHESION; CELL DIVISION; CELL KINETICS; CELL PROLIFERATION; CULTURE MEDIUM; DISEASE SIMULATION; ENZYME RELEASE; EXTRACELLULAR MATRIX; HUMAN; MITOSIS RATE; MOLECULAR INTERACTION; NONHUMAN; PRIORITY JOURNAL; THERMODYNAMICS;

EID: 0036304182     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.2001.2522     Document Type: Article

References (44)

1. Mathematical modelling of tumour invasion and metastasis
2. Signal transduction for chemotaxis and haptotaxis by matrix molecules in tumor cells
3. The importance of intercellular adhesion in the development of carcinomas
4. Modelling the role of cell-cell adhesion in the growth and development of carcinomas
5. The mathematical modelling of tumour angiogenesis and invasion
6. A cell cycle model for somitogenesis: Mathematical formulation & numerical simulation
7. Chemotaxis of metastatic tumour cells: Clues to mechanisms from the Dictyostelium paradigm
8. Fractals in pathology
9. A discrete cell model with adaptive signalling for aggregation of Dictyostelium discoideum
10. Monte-Carlo approach to tissue cell populations
11. A growth model for primary cancer
12. Simulation of biological cell sorting using a two-dimensional extended Potts model
13. The structural and mechanical complexity of cell-growth control
14. Cell-cell and cell-stromal interactions in breast cancer
15. Increased fractal complexity of the epithelial-connective tissue interface in the tongue of 4NQ0-treated rats
16. The Monte-Carlo method
17. Equation of state calculation by fast computting machines
18. Simulation of embryonic cell self-organisation: A study of aggregates with di1erent concentrations of cell types
19. Mitosis and growth in biological tissues
20. Single cell motion in aggregates of embryonic cells
21. Quantitative comparison between differential adhesion models and cell sorting in the presence and abscence of fluctuations
22. Restricted-range gradients and travelling fronts in a model of juxtacrine cell relay
23. Proteolysis and cell migration: Creating a path?
24. Partial sequencing and characterisation of the tumour cell-derived collagenase stimulatory factor
25. Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies
26. Extracellular matrix concentration exerts selection pressure on invasive cells
27. Biological inferences from a mathematical model for malignant invasion
28. A two-parameter family of travelling waves with a singular barrier arising from the modelling of extracellular mediated cellular invasion
29. Extracellular matrix-mediated chemotaxis can impede cell migration
30. Modelling morphogenesis: From single cells to crawling slugs
31. Role of alpha-v-beta-3 integrin in human melanoma cell invasion
32. Do cells cycle?
33. Fractal tumor stromal border in a nonequilibrium growth model
34. On the mechanism of tissue reconstruction by dissociated cells. I. Population kinetics, differential adhesiveness, and the abscence of directed migration
35. Mechanism of tissue reconstruction by dissociated cells II: Time course of events
36. On the mechanism of tissue reconstruction by dissociated cells III: Free energy relations and the reorganisation of fused, heteronomic tissue fragments
37. Tumor cell interactions with the extracellular matrix during invasion and metastasis
38. Stochastic simulation of benign avascular tumour growth using the Potts model
39. Loss of metastatic phenotype by a human epidermoid carcinoma cell line hep-3 is accompanied by increased expression of tissue inhibitor of matrix metalloproteinase-2
40. Mathematical modelling of juxtacrine patterning
41. The mechanical basis of cell rearrangement
42. The Potts model