Modelling the dynamics of tumour cords under a cell killing agent

Computational Fluid and Solid Mechanics 2003

Volumn , Issue , 2003, Pages 1631-1633

  Bertuzzi, A ^a   Fasano, A ^b   Gandolfi, A ^a  

^a CNR   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

Cancer treatment; Continuous media; Free boundary problems; Tumour growth

Indexed keywords

CELL PROLIFERATION; CELLS; ONCOLOGY; TUMORS;

CELL KILLING; CELL PROLIFERATION AND DEATH; CONTINUOUS MEDIA; FREE-BOUNDARY PROBLEMS; MODEL SIMULATION; OXYGEN CONCENTRATIONS; OXYGEN DIFFUSION; TUMOUR GROWTH;

CYTOLOGY;

EID: 84941624200     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-008044046-0.50397-3     Document Type: Chapter

References (7)

1. Tannock IF The relation between cell proliferation and the vascular system in a transplanted mouse mammary tumour. Br J Cancer 1968, 22:258-273.
2. Tannock I, Howes A The response of viable tumor cords to a single dose of radiation. Radiat Res 1973, 55:477-486.
3. Moore JV, Hopkins HA, Looney WB Response of cell populations in tumor cords to a single doee of cyclophosphamide or radiation. Eur J Cancer Clinical Oncology 1983, 19:73-79.
4. Bertuzzi A, Gandolfi A Cell kinetics in a tumour cord. J Theor Biol 2000, 204:587-599.
5. Bertuzzi A, Fasano A, Gandolfi A A mathematical model for the growth of tumor cords incorporating the dynamics of a nutrient. Free Boundary Problems: Theory and Applications II 2000, Gakkotosho, Tokyo. N. Kenmochi (Ed.).
6. Bertuzzi A, Fasano A, Gandolfi A, Marangi D Cell kinetics in tumour cords studied by a model with variable cell cycle length. Math Biosci 2002, 177&178:103-125.
7. Bertuzzi A, Fasano A, Gandolfi A: A free boundary problem with unilateral constraints describing the evolution of a tumour cord under the influence of cell killing agents (submitted).