please write a matlab script to solve the following:

3. Solving nonlinear algebraic balance equations - cell migration example (20 pts). Write a new script (lastname THT23.m) with an associated problem-specific function (lastname THT23fun.m) to solve Problem 5.5 from the text by Dunn et al, using fzero. The problem uses the following equation for the mean squared displacement for cell migration in two-dimensional media (the Dunn equation), where is the mean squared displacment (in cm), S is the root mean squared cell speed (in cm/min), and P is the directional persistence time in minutes). (da) = 252[Pt - p2(1 - e-t/P)] DO NOT use global variables in function or script! Include a labeled plot of the function given in the text, plot the solution point on the function curve, and output the numerical solution to the screen. 5.5 The mean squared displacement for cell migration in two-dimensional media is given by the Dunn equation (Dunn, 1983) = 252[ P1 P? (1-e-"')] where stands for mean squared displacement S is the root mean squared cell speed P is the directional persistence time (minutes) White blood cells stimulated with chemoattractant factors migrated at 20 microns per minute on an expanded polytetrafluoroethylene, used as a vascular prosthetic biomaterial (Chang et al, 2000). What is the persistence time, P, necessary for a population of white blood cells to achieve a mean squared displacement of 4.3 x 10 cm' in 3 hours