Journal of Disease and Global Health
 

Journal of Disease and Global Health, ISSN No. : 2454-1842, Vol.: 6, Issue.: 1

Original Research Article

DEVELOPING A NUMERICAL SIMULATION OF VASCULAR BRAIN TUMOR GROWTH USING 1-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATION

 

P. M. WANJAU1*, F. K. GATHERI2 AND J. K. KOSKE1

1School of Biological and Physical Sciences, Moi University, Box 3900, Eldoret, Kenya.

2School of Mathematics and Actuarial Science, Technical University of Kenya, Box 52428 -00200, Nairobi, Kenya.

Abstracts

In this paper a model of vascular brain tumor is developed and solved using Adomian Decomposition Method. The model is formulated as a set of partial differential equations describing the spatial-temporal changes in cell concentrations based on diffusion dynamics. The model predicts the radius of the tumor within certain time schedules. It is formulated in one dimension whereby the tumor is assumed to be growing in radial symmetry. Under this algorithm, equation is decomposed into a series of Adomian polynomials. The model predicts the radius of the tumor at any time schedule after vascularization without necessarily imaging. Results obtained from the simulation of growth and dynamics of malignant brain tumor (GBM) compares well with those from medical literature hence can provide clinical practitioners with valuable information on the potential effects of therapies in their exact schedules.

Keywords :

Vascular tumor; radius of the tumor; adomian decomposition; diffusion dynamics.