Pete, 47, went missing from Cross Lane Hospital in Scarborough on Wednesday May 8 2019.
Friends of his wife Natalie and Pete set up a Facebook group, Pete Brown Search & Updates, which over 8,000 people have joined to help search for him.
Now a video has been made to help spread the message further across social media, which shows Pete's family and friends asking for him to come home.
The video opens with one of Pete's children saying: "My dad went missing from hospital eight months ago, he had a mental breakdown suffering from memory loss.
"I am desperate for my dad to be found and brought back home to safety.
"I love my dad very much and miss my cuddles, laughs and adventures with him. He's a big, cuddly, gentle giant. My heart's wish is for everyone to keep him in their mind's eye and he will be found. Please help make my family be reunited."
In the eight months since Pete went missing, Natalie says his appearance could have changed dramatically, but she is keen to draw attention to a cancer sign tattoo on his right wrist, his height – 6ft 1in – and size 13 feet, all of which won’t have altered.
Anyone with information should contact North Yorkshire Police on 101 and quote reference number 12190083137.
A GoFundMe to raise money for the appeal to find Pete can be found at www.gofundme.com/f/find-pete-brown