Study Study of Aneurysm Rupture in the Communicating Artery Using Strain Energy Function – A Mathematical Model
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https://doi.org/10.5281/zenodo.10373865Keywords:
Tumour, spherical, nutrient, ElasticityAbstract
In the present paper, the growth of the tumour is mathematically studied with change in nutrients at various time intervals. The reference of necrotic core layer is considered in the analysis which varies according to metabolic changes. Various concentrations of nutrients are proposed in the model for estimating the size of the tumour and its growth rate using set of simple diffusion equations in the functional form. Initially the tumour is assumed to be sphere and later considered to be in spherical shape with feeding of nutrients. Analysis is carried out by considering the variation in the artery wall (impermeable wall) with respect to the change in tumour size. Analytical solution is obtained for set of diffusion equations with varying nutrients at various time intervals. It is noticed that there exists stability in spherical shaped tumour when compared to instability of sphere shaped tumour. Numerical results predict that the spherical tumour grows with varying size. Results are compared with others findings.
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