That study from 2007 is also mentioned in, "Autism Spectrum Disorders Through the Life Span".
Here's a more recent update:
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4345917/
The authors propose the creation of an autistic subtype, those who have motor delay, praxis impairment, gait abnormalities, insomnia, and epilepsy (all of which may be caused by or negatively affected by mal-coded potassium gates in their nerves).
Also,
"The interesting thing about potassium in the human body is that it relies on another electrolyte, magnesium. Without sufficient magnesium, the body cannot maintain an adequate level of potassium. This is why supplements normally contain both potassium and magnesium. A problem with both potassium and magnesium is that they very easily upset the stomach, indeed some laxatives are based on magnesium."
So, if you are going to play around with potassium, be careful and knowledgeable. Also, it is possible to overdose.
Personally, I'm on a potassium uptake blocker that I can safely skip or overlap doses. I'll play 'round with it and see if there are any correlations, especially since I have a history of being slightly resistant to lidocaine, as mentioned in the study.
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