Based on the study, it seems a similar circuit is a simple project (the tissues samples analysis requiring the majority of the attention)
This is often the way for one of two reasons.
When I look at doing something, or how to do something, I automatically focus on the parts that I know about. Anything that I do not have to do, I do not need detailed knowldge of, so a passing understanding will do. So only my part seems complicated. Also, I have little idea how to even specify the important paramters of the parts I just want to use, without further involvement. Everything else is sort of described by, well that part should just do its job.
The other reason is that might be available. either because an instrument is available, or I don't really care about the parameters and I write up what I used, or had, as if that is the only option, or more importantly so someone else knows how to repicate.
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Can you share the reference?
We might be able to sort out what's actually required.
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Generally batteries offer a power source, voltage source. Many run at almost a constant voltage for some time, then as they drain, the voltage drops. Some battery technologies seem pretty flat, same voltage, then drop off to dead quickly. Others droop slowly, running at lower voltage for some time before dieing..
Many things we would like to power offer a sort of constant resistance, so the current is proportional to the voltage. Some other things like biological or chemical cells can have characterstics that change over time.
If we want the current fixed to some known value we generally have to put a circuit between the battery, or other power source and the load that will measure the current & keep adjusting it to keep it constant. It does this by keeping changing the voltage till the current is right. When things get too far out, like the battery if flattening, they fail to keep things constant.
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So, a constant, even small, current into a biological specimen, with not much more than a button cell?, not really.
(1) If the cell always starts from new & does not have to last long AND the cell is always the same, then with some experimentation, you could choose the right resistor to put between the battery cell and the biological cell to make the current correct. This will be approximately right given battery tollerance, and cell tollerances, till the battery voltage droops. It won't regulate, so given those possible diffferences of battery & one cell to another , not likely within 1% too often or for too long.
(2) Make a constant current circuit that regulates. No problem there. That circuit will use power, probably more than the load current, so you'll need a bigger power source for it. It can run off a button celll if you must with appropriate converters & constant current source circuit, but ot will drain faster. Someone needs to design it. As mentioned above, there are many curcuits for constant current sources online. Some simple & some sophisticated. If you want good regulation, that is accurately controlled current, you're want more sophisiticated. As mentioned above, the currents many components are designed for can be as big or greater than the one you want in your load, so two things. (1) the control, constant current, circuit will consume more power than the load and (2) some carfeul design may be required so leakage current don't swamp your measurements that are the basis of the control.
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Sorry, I didn't really get your setup. I couldn't imagine any meaningful thing that matched your explanation that would not be done in a lab. So using standard lab equipment is often the easiest way rather than reinventing the wheel. But constant current circuits are plentiful; Could be done.
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Hope this helps. Hope I've been clear. Don't think I've included anything really new, just summarised those above.
LM134/LM234/LM334 3-Terminal Adjustable Current Sources
(Programmable From 1μA to 10mA)
https://www.analog.com/en/products/...omplete,by instrumentation and test equipment.