Mathematical Modeling On Urinary Depletion Effect

Abstract

Stones in the urinary tract were assumed to be continuously increased in size by incorporating materials from the urine. To calculate the influence of the depletion effect, we considered two different models of stone growth by using the concept of partial differential equations. In the first model, the increasing size of stone depends only on the urinary concentration of lithogenic substance. In the second model, the increasing size of stone depends on surface area of growing stone.