Dr Chowdhury, a consultant urologist, died having tested positive for Covid-19 in early April - two weeks after making the plea.
"Do you regret not taking my dad’s concerns, my 11-year-old sister’s dad’s concerns and my wife’s husband’s concerns seriously enough for my dad that we’ve all lost?"
The Health Secretary replied: "Intisar, I’m really sorry about your dad's death and I have seen the comments you've made and what you’ve said in public and I think it’s very brave of you."
Mr Hancock continued: "We took very, very seriously what your father said and we’ve been working around the clock to ensure that there’s enough protective equipment.
"In the case of anybody who works in the NHS or in social care and has died from coronavirus we look into it in each case to find out the reasons where they might have caught it and what lessons we can learn."
He also said that thousands of people were "doing everything they can" to solve issues with PPE despite complicated logistical problems.
Mr Hancock was then asked to publicly acknowledge that mistakes had been made in response to the coronavirus outbreak.
Mr Chowdhury said: "The public is not expecting the Government to handle this perfectly - none of us are expecting perfection, we're expecting progression.
"We just want you to openly acknowledge that there have been mistakes in handling the virus, especially to me and to so many families that have really lost loved ones as a result of this virus and probably as a result of the Government not handling it seriously enough.
"Openly acknowledging your mistake is not an admission of guilt, it is genuinely just making you seem more human."
Mr Hancock replied: "I think that it is very important that we're constantly learning about how to do these things better and I think listening to the voices on the frontline is a very, very important part of how we improve."
Mr Ferrari - hosting the radio call in - then passed on condolences to Mr Chowdhury on behalf of him and the Health Secretary, who added "absolutely".
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