evaluation of application of drug modeling in treatment of liver and intestinal cancer

in drug delivery systems, mathematical modeling plays an important role in more clearly explaining the important mechanisms of drug release profiles, so as to facilitate the development of new drug products with a regular approach rather than trial and error. mathematical models related to known drug release mechanisms fall into three categories: infiltration, controlled inflation systems, and erosion. in the case of liposomal nanoparticles as a biodegradable nanocarrier matrix, the release control is by hydrolysis gap in the polymer chain which will lead to matrix erosion, although penetration due to slow erosion may be still predominant. on the other hand, in the case of biodegradable nanocarriers, drug release is due to the concentration gradient either in the penetration or in the penetration enhancement system by erosion. this classification allows mathematical models to be developed in different ways for each type of system. mathematical modeling of drug release can provide good insight into chemical processes and modes of delivery in drug delivery as well as the effect of design parameters. in both biodegradable and nonbiodegradable nanocarriers, design parameters such as drug loading can significantly affect drug release mechanisms. therefore, the optimized nano-carrier design for the required drug release profile can be predicted using a regular method with a minimum number of experimental studies. thus, mathematical modeling can help predict drug release rates; as a result, researchers can come up with much more effective drug formulations and more accurate methods that will save time and money.