"It's an ongoing thing", adding, "He's been actively tweeting about dating me". The op-ed, titled "Donald Trump is Gaslighting America", claimed that Trump's rise to victory had "normalized deception" and urged readers to "regain control of the truth".
Metro.co.uk has contacted Mr Shkreli for comment. Shkreli then tweeted about trying to date her, and he sent her an invitation on Thursday to attend Trump's January 20 inauguration as his guest.
Her response, which she posted to Twitter, read: "I would rather eat my own organs".
Shkreli told TheDC that Duca and her fans will "get what they want" with his suspension.
A person at Twitter who is familiar with the matter but declined to be quoted directly confirmed that Shkreli's suspension was related to his harassment of journalist Lauren Duca. Duca was outraged at Shkreli's boldness and demanded answers as to how the beleaguered former hedge fund manager was able to freely harass her. The situations were similar in that much of the harassment came from other accounts, spurred on and encouraged by Yiannopoulos in the same way that Shkreli has been encouraging his followers.
Duca and Twitter did not immediately respond to requests for comment.
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BuzzFeed said Shkreli sent a message to Duca before his account was suspended saying, "Don't disrespect the sovereignity of my love for you". His profile photo was a photo of Duca sitting next to her husband with Shkreli's face photoshopped onto her husband's body. He is suspended from Twitter because he harassed a journalist.
Shkreli rose to national prominence when he raised the price of an HIV drug by more than 5,000 percent at his drug company.
Duca called Shrekli out to Twitter in a tweet to CEO Jack Dorsey on Sunday.
"Why is harassment an automatic career hazard for a woman receiving any amount of professional attention?"
An outraged Duca then highlighted Shkreli's actions in a tweet, in which she tagged Twitter co-founder Jack Dorsey. Critics have said not enough is being done to protect its users.