how to get b12 injections nz Vitamin in How to self-inject intramuscular vitamin
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(2007) 292:C22739

Normally, these symptoms quickly resolve and are nothing to be concerned about

The immune cells can be a little over-exuberant because they view the SARS-CoV-2 spike protein produced by the vaccine as an infection that they need to fight off. In some people, their immune system responds strongly to the vaccine
Potassium supplements taken concurrently with b12 injections may theoretically reduce b12 effectiveness, but this interaction rarely causes clinical problems

The short answer is yes, MTHFR mutations can cause high B12 on a blood test result, this is because of lower production of folate which means that more B12 may not have enough folate to work with, which leads to higher B12 levels

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