Mathematical Modeling
Matlab output of the mathematical model
Goals:
To develop a mathematical model capable of modeling the release of NGF from a biomaterial to be chosen into surrounding nerve tissue, and to compare the model to actual measured results.
Using controlled tests, the diffusivity of NGF for our tests will be calculated experimentally. Once the polymer and drug parameters are determined, the model will be solved numerically in MATLAB in order to obtain the concentration of NGF at various distances from the electrospun scaffold at any given time. This data will be compared to the concentration of protein measured using the BCA protein assay. Finally, the model will be fitted to the data and tested for predictive powers by varying testing parameters.
To develop a mathematical model capable of modeling the release of NGF from a biomaterial to be chosen into surrounding nerve tissue, and to compare the model to actual measured results.
Using controlled tests, the diffusivity of NGF for our tests will be calculated experimentally. Once the polymer and drug parameters are determined, the model will be solved numerically in MATLAB in order to obtain the concentration of NGF at various distances from the electrospun scaffold at any given time. This data will be compared to the concentration of protein measured using the BCA protein assay. Finally, the model will be fitted to the data and tested for predictive powers by varying testing parameters.