Should I explicitly remind people to include my name in the acknowledgement?

My suggestion is that you could let her know that you would appreciate an explicit ack and that it would help your future, just as you have done here. Don't state it as a duty (which it probably is) but as a professional curtesy and "boost", which it also is.

You could even write a suggestion of the form of the ack you would like if you would like it to include anything specific rather than just a general statement of thanks. (... who maintained the human cells...).

I'm not sure if this is a good idea, but one possibility would be to approach this indirectly by having a meeting with her supervisor, explaining your position and seeing if the supervisor has briefed her on authorship conventions yet. A PhD student won't necessarily be cognisant of the importance of acknowledgements to lab technicians, so this is something her supervisor should be broaching with her anyway. If I were supervising this student I would be happy to intervene subtly in a case like this by suggesting to the student that she give an appropriate acknowledgement to the research assistant on the project. I would also explain to her the hazards that can occur if you submit papers without full acknowledgement of contributors. This is a useful conversation in and of itself.

Of course, it could also backfire if the supervisor takes it the wrong way or thinks you are making a complaint about the student. It would be important to make it clear that you are not complaining, but just trying to be seek an acknowledgement in a tactful manner. Explain that you are uncomfortable asking her directly for an acknowledgement, and you thought it might be helpful for her supervisor to be able to give her advice on when to include another person in authorship or acknowledgement.

Usually in interpersonal issues like this I would suggest talking directly to the person rather than going about things indirectly, but this might be one of those cases where the use of a third-party is helpful, particularly since the supervisor is generally the one to teach a PhD student about issues like this. Anyway, I'm not sure if this is a good idea, but I'm going to put it out there, and hopefully the up- and down-votes on the answer will give some peer feedback.