Basis of Pfizer, Moderna, and AstraZeneca COVID Vaccines - (Nov/24/2020 )
This is NOT a request for medical advice.
Basically no - to get integration you have to have parts in the sequence to be inserted that match parts of the host genome, these would need to be flanking the expressed sequence for it to continue to be expressed. Even then, the cell is very good at recognizing non-self DNA and generally methylate it so that it can no longer function. Even with these targeting sequences, the rate of insertion into a host genome is extremely low (less than 1 cell/million for microgram quantities of DNA in actively dividing cell cultures), even with transfection techniques that ensure that >70% of cells will have DNA inserted into the cell (NOT genome). Note that the route of administration - injection into the muscle, is into a region not known for its active cell replication.
Note also that every time you get an infection with a virus, the virus enters the cell and releases its DNA or RNA, just like the vaccine does, yet we do not see these integrating into our genomes often, despite some of the viruses targeting actively replicating epithelial cells.
In addition, IIRC, reverse transcriptases, while relatively common in eukaryotic genomes, generally do not reverse transcribe mRNA, but are used to shuffle genetic components at recombination events. - Anyone with a better knowledge of this, feel free to chime in.
These are the Pfizer and Moderna vaccines. The AstraZeneca is an Adenovirus vector with expressed spike proteins on the surface, a completely different system.
I'm just getting a bit into that, so just few links.
About Pfizer.
Here is a site of the lipid nanoparticles manufacturer, shoud have info how about that.
https://acuitastx.com/
A bit of IT-like sequence explanation:
https://berthub.eu/articles/posts/reverse-engineering-source-code-of-the-biontech-pfizer-vaccine/
You can also start on Wikipedia sources:
https://en.wikipedia.org/wiki/Tozinameran
As said, mRNA packed in LPN is just directly transcribed, only desined to look non-viral (uridine replaced by pseudouridine) and to produce spike proteins on it's surface and trigger immune response (though likely not a cytotoxic one, since there would be a foreign protein outside, but no suspicious cirus-like activity, that would trigger killing the producer cell, IMO). Then both B-lymfocytes and T-helpers are activated to create a stable production of Igs, finally ending with hopefully stable IgG production after a second dose.