A bent spine in fish can be caused by anything growing inside the fish that puts pressure on the back. It can be TB, a tumour, a cyst, or baby guppies.
With old age the fish can develop weaker bones if they are not kept in hard water with lots of minerals, a bit like osteoporosis in people. This can contribute to a curved back if there is something growing in them.
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I am not convinced some of the fish in that video have TB. The danio at the start was suffering from anemia and gill flukes and possibly worms. It might have had TB too but it should have been treated for other things.
The rainbowfish spinning around in the video was more likely to have a protozoan or bacterial infection in the brain. However, rainbowfish do get TB.
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Fish can be infected with TB for months or even years before they show any signs. The most common symptoms include: the fish swelling up overnight, breathes heavily (usually at the surface or near a filter outlet), stops eating, does a stringy white poop, dies within 24 hours of showing these symptoms.
Fish Mycobacteria (TB) is a very slow growing bacteria. Most common bacteria can double every few hours. Mycobacteria takes days or weeks to double.
In cold water, TB grows slower and goldfish can carry the bacteria for years before it affects them. In warm water, the bacteria grows quicker, but it's still a slow growing disease.
If fish are big, it takes longer for the bacteria to build up in numbers and kill the fish. A small fish has smaller organs and less bacteria are needed to damage it.
The bacteria kill the fish by destroying internal organs and causing organ failure. Basically a fish becomes infected by eating TB contaminated food or ingesting the bacteria with contaminated water. The bacteria settle into an organ somewhere in the fish's body and start growing. They grow slowly and build up over time. Eventually the bacteria damage the organ they are growing in and the fish swells up and dies.
People with a healthy immune system are less likely to develop a fish TB infection. If you wash your hands and arms with warm soapy water after working in a tank, you are less likely to contract the disease.
People with a weakened immune system (heart disease, lung problems, cancer, HIV, etc), are more likely to develop localised TB infections.