A theoretical study of the response of vascular tumours to different types of chemotherapy

  title={A theoretical study of the response of vascular tumours to different types of chemotherapy},
  author={Jasmina Panovska and Helen M. Byrne and Philip K. Maini},
  journal={Mathematical and Computer Modelling},
In this paper we formulate and explore a mathematical model to study continuous infusion of a vascular tumour with isolated and combined blood-borne chemotherapies. The mathematical model comprises a system of nonlinear partial differential equations that describe the evolution of the healthy (host) cells, the tumour cells and the tumour vasculature, coupled with distribution of a generic angiogenic stimulant (TAF) and blood-borne oxygen. A novel aspect of our model is the presence of blood… CONTINUE READING
Highly Cited
This paper has 21 citations. REVIEW CITATIONS
11 Citations
52 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 11 extracted citations


Publications referenced by this paper.
Showing 1-10 of 52 references

Opposing effects of hypoxia on expression of the angiogenic inhibitor thrombospondin 1 and angiogenic inducer vascular endothelial growth factor

  • K. R. Laderoute, R. M. Alarcon
  • Clin. Cancer Res. 6
  • 2000
Highly Influential
3 Excerpts

Kinetic analysis of P-glycoprotein-mediated doxorubicin effect

  • M. Dordel, J. N. Winter, A. J. Atkinson
  • J. Pharmacol. Exp. Ther. 263
  • 1992
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…