3.00E-11 霸2.50E-11 Faisant MW-D 50E-11 elationship, discrete 1.00E-11 5.00E-12 0.00E+00 here the diffusion constant starts similar in both models and becomes greatly disparate after several days of hydrolysis. In contrast, if a low molecular weight matrix is used(e.g, the plot below is for Mo 5000 g/mole), the diffusion constant begins quite disparate and becomes similar in each model after several days 4.00E-11 3.50E-11 2.50E-11 一一- Faisant Mv-D 2.00E-11 1.50E-11 relationship, discrete 1.00E-11 5.00E-12 This analysis indicates that for a high molecular weight matrix, the two models will at least initially predict similar release profiles, which will become different as time goes on(after only 24-48 hours). For a low molecular weight matrix, the difference in release profiles will be apparent immediately 2.(5 pts)Using the model B formula above for the diffusion constant, derive a new expression for the thickness of the diffusion field h(t) in the Charlier model. Assume M(t) has an exponential decay with time as derived in class BE.462 PS 3 2 of 4BE.462 PS 3 2 of 4 0.00E+00 5.00E-12 1.00E-11 1.50E-11 2.00E-11 2.50E-11 3.00E-11 3.50E-11 4.00E-11 0 2 4 6 8 10 time (days) D (cm^2/s) Faisant MW-D relationship Charlier MW-D relationship, discrete integral …where the diffusion constant starts similar in both models and becomes greatly disparate after several days of hydrolysis. 0 = 5000 g/mole), the diffusion constant begins quite disparate and becomes similar in each model after several days: 0.00E+00 5.00E-12 1.00E-11 1.50E-11 2.00E-11 2.50E-11 3.00E-11 3.50E-11 4.00E-11 0 2 4 6 8 10 time (days) D (cm^2/s) Faisant MW-D relationship Charlier MW-D relationship, discrete integral This analysis indicates that for a high molecular weight matrix, the two models will at least initially predict similar release profiles, which will become different as time goes on (after only 24-48 hours). molecular weight matrix, the difference in release profiles will be apparent immediately. 2. (5 pts) Using the model B formula above for the diffusion constant, derive a new expression for the thickness of the diffusion field h(t) in the Charlier model. decay with time as derived in class. In contrast, if a low molecular weight matrix is used (e.g., the plot below is for M For a low Assume M(t) has an exponential