We present a mathematical model describing the growth and development of capillary sprouts in response to the chemotactic stimulus of a tumour angiogenesis factor (TAF). Exact analytical solutions are then derived for a simplified model which retain the salient qualitative features of the full model.
- Tumour angiogenesis
- Nonlinear waves
Byrne, H. M., & Chaplain, M. A. J. (1995). Explicit solutions of a simplified model of capillary sprout growth during tumour angiogenesis. Applied Mathematics Letters, 8(5), 71-76. https://doi.org/10.1016/0893-9659(95)00069-3