Perturbed models for cancer treatment by radiotherapy

H. I. Freedman1, G. Belostotski2
1Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada
2Department of Mathematics, School of Art Science and Communication, Northern Alberta Institute of Technology, Edmonton, Canada

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Tài liệu tham khảo

Bellman R., Perturbation Techniques in Mathematics, Engineering & Physics, Dover Publications Inc.: Mineola, NY (2003)

Belostotski G. and Freedman H., A control theory model for cancer treatment by radiotherapy 1: No healthy cell damage, IJAM, 25(4), 447–480, (2005)

Freedman H., Deterministic Mathematical Models in Population Ecology, Marcel Dekker: New York (1980)

Horn M. A. and Webb G. (eds.), Mathematical Models in Cancer, Discr. Contin. Dynam. Systs., B4, (2004)

Kuang Y., Nagy J. D. and Elser J. J., Biological stoichiometry of tumor dynamics: Mathematical models and analysis, Discr. Contin. Dynam. Systs., B4, 221–240, (2004)

Kumar V., Cotran R. S. and Robbins S. L., Robbins Basic Pathology, Saunders: Philadelphia (2003)

Nani F. and Freedman H. I., A mathematical model of cancer treatment by immunotherapy, Math. Biosci., 163), 159–199.

Pinho S. T. R., Freedman H. I. and Nani F., A chemotherapy model for the treatment of cancer with metastasis, Math. Comput. Model., 36, 773–803, (2002)

Rektorys K., Survey of Applicable Mathematics, The MIT Press, Massachusetts Inst. of Technology, 467–469, (1969)

Souhami R. L., Tannock I., Hohenberger P. and Horiot J.-C., Oxford Textbook of Oncology, Vol. 1, Oxford University Press: Oxford (2002)

Steel G. G., Adams G. E., Horwich A., The Biological Basis of Radiotherapy, Elsevier: Amsterdam (1989) 135–146.