In this file photo, model-actress Christie Brinkley models a dress...

In this file photo, model-actress Christie Brinkley models a dress by Calvin Klein at the 2005 Red Dress Collection fashion show in Manhattan. (Feb. 4, 2005) Credit: AP

Model-actress Christie Brinkley and her ex-husband, Southampton-based architect Peter Cook, continued to trade barbs Wednesday in their latest public court battle over their children.

Cook, 53, told "Good Morning America" that Brinkley was "throwing [our] family under the bus" by speaking to the media about their bitter custody and child-support issues, and suggested the timing was "to coincide with her return to 'Chicago' " on Broadway.

He claimed Brinkley, 58, of Bridgehampton, has impeded his access to daughter Sailor, 13, and son Jack, 16, Brinkley's child from a previous marriage, whom Cook adopted. "She's required to tell me about doctors' appointments" and similar things of parental concern, he said. "She's required to keep me on equal footing. And she does none of it."

He objected to being "called a 'deadbeat dad.' . . . I pay more child support than I was required to by [the] court."

Brinkley's attorney, Tom Campagna, responded in a statement to Newsday, "Peter Cook continues to go on national television to malign his ex-wife and hurt his family by spreading lies . . . His claims of paying twice his child support are a joke, and in fact, he's been regularly behind in payments."

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