Erland said:
If cells were typically electrically charged, they would attract and/or repel each other, and that is not what we typically see...
Who is this "we"?
What reason do you have for believing this statement?
What I mean is - can you point us to a body of research which supports your expectation that cells are electrically neutral - instead of just pulling assertions out of the air.
There are two main purposes to this sort of question:
1. it helps you: when you get used to questioning/verifying your assumptions, you find yourself learning more and faster, and you will get taken seriously more;
2. it helps us to help you: when you provide a reference it helps us understand how you are thinking and thus how best to help you quickly.
You have to look carefully to see the electrical repulsion and attraction of cells at work
The effects are more obvious when lots of the same sort of cell are in solution and an electric field is applied - a quick google yields many examples of charged cells. I'm finding it difficult to support the statement that cells are generally electrically neutral so I am curious as to where you got the idea from.
Erland said:
That current flows through a cell doesn't mean that it has a charge, as long as equally much charge flows into the cell as out from it. And although it may happen that some neighboring cells may be charged (but not very big charges, I think)
... do you have reason to think that the charges are not very big? i.e. have you seen a study that measures the electric charge of a cell of some kind (there are lots of different kinds...)?
"Big" is a comparative term - it is not clear to me what you are comparing to.
... an organism as a whole is rarely charged (exceptions may perhaps exist, such as electric eels). I am certain that my own total charge is negligible.
Do you have a reason to be so certain?
When did you last
measure your own total charge?
The human body is regularly charged up to 2-3kV, depending on the time of day and what you've been doing - you'll also be aware that human skin has a pH of around 5.5, indicating surplus H ions (acid). Although this is more to do with gaining or losing ions to the environment than the accumulated effect of individual cells, it does count against the idea that an organism as a whole is neutrally charged.
It is also irrelevant to your initial question: let's say that an organism as a whole is neutrally charged - that just means that there are roughly equal amounts of positive and negative charge in the organism. It does not mean that individual cells cannot carry a net charge.
To let you off the hook:
Individual cells, like fat cells or platelets say, are typically negatively charged ... the blood plasma tends to be positive. The result is a potential difference across the cell membranes. This potential can be an important part of how cells interact.
I don't want you to think I'm pulling this stuff out of the air:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2141459/
... measuring the net charge of red blood cells in mammals (as an example of a biological cell).
There are lots of different kinds of cells, so you may need to be more specific in future.
I believe your original question has been answered though.
The point of all above is to try to improve your ability to ask questions in future.