The agency already handles corporate and personal PR for Lord Alan Sugar, from whom the £250,000 investment prize offered by the reality TV programme comes.
Totton is opening her first clinic, branded Dr Leah, in the City of London, and hopes to establish a nationwide chain.
The clinic will provide a range of face and body cosmetic procedures, including facials, skin peels and enhancement treatments, such as botox and fat reduction.
David Fraser, deputy MD at Frank PR, said his agency's plan is to promote Dr Leah’s clinic in the beauty press and via social media.
He added: "Dr Leah wants to introduce clinical excellence in an industry where customers spend a lot of money and deserve expert advice from qualified staff."