Spider veins (also known as telangectasias), such as those which appear on the nose and cheeks, are treated as follows:
Existing Spider Veins
Those which have already broken can only be treated using a vascular laser such as VersaPulse (by Coherent). This treatment requires a referral from your General Practitioner to a Dermatologist (US Search; AU).
Use a topical retinoid for at least two weeks prior to vascular laser treatments to lessen any likelihood of post-inflammatory hyperpigmentation.
Swollen (as yet unbroken) Spider Veins
Spider veins threatening breakage can often be saved or made even more amenable to vascular laser treatment with a topical vitamin C such as Skinceuticals C E Ferulic (all skin types, but especially normal/dry), Skinceuticals Serum 20 (all skin types), or Jan Marini C-ESTA Serum (all skin types).
Alternatively, Gernetic Veinulo Special Broken Capillaries Treatment Spray Phials and Vasco Broken Capillaries Treatment Cream help strengthen capillaries while encouraging blood circulation to prevent their collapse. These two Gernetic treatments are not recommended for extremely sensitive or flush-prone skin.
You should give these treatments 4-6 months to realize their full benefits.
Prevention of Spider Veins
Prevention is always better than cure — and nearly always less expensive!
AM use of a topical vitamin C serum or cream combined with a true broad spectrum sunscreen, and nightly use of a topical retinoid are currently the best means to preventing spider veins.
If you've already developed spider veins, start prevention as early as possible to prevent and minimize any further unwanted red developments.
Example Spider Vein Prevention Protocol (any skin type and gender) using Jan Marini
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Example Spider Vein Prevention Protocol (any skin type and gender) using Skinceuticals
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Example Spider Vein Prevention Protocol (any skin type and gender with the exception of sensitive/flushed) using Gernetic
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