No studies show that smoking or vaping significantly affect botox. Although you should note that smoking does not do good to the skin. Consult with your doctor to know more about this treatment.
It should not be an issue if you only have a blood clot. It is different when you have a blood clotting disorder. Contact your doctor to know more about this.
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Despite there being a risk of occlusion with fillers injected into veins, there are, as yet, no risks of botox being injected into arteries and veins. If anything, it may improve the blood flow as it relaxes the muscle surrounding the artery