What do you think the independent variable is? Is there a control group?
This looks like a one-way repeated measures ANOVA to me. Remember that ANOVA does not assume a normal distribution of the data, but a normal distribution of the residuals. It is also robust to violations of that assumption.
The Friedman test is a non-parametric alternative, but it has its own assumptions that mean it is questionable for time course data, apparently*. Full understanding is over my pay grade.
*Noguchi, K., Gel, Y., Brunner, E. , Konietschke, F. (2012). nparLD: An R Software Package for the Nonparametric Analysis of Longitudinal Data in Factorial Experiments. Journal of Statistical Software 50, Iss. 12.