The hospital is at the centre of a long-running dispute over the future of children's heart services.
Mr Milburn said this was because heart services in the UK had suffered from years of neglect.
Almost 15, 000 people have so far signed petitions in support of the Royal Brompton's paediatric heart services.
The event, at the Emirates Stadium, started at 1100 BST and follows an NHS review of children's heart services.
The review, launched in 2008, was set up to transform children's heart services to provide better care to patients and improve outcomes.
There are concerns about the number of deaths at the hospital, which is at the centre of a long dispute over the future of children's heart services in England and Wales.
Leslie Hamilton, vice chair of Safe and Sustainable, the NHS group reviewing children's congenital heart services, said he believed there had been a recognition by some experts in the field that "change is needed" based on clinical evidence that larger units had better results "by way of fewer deaths and fewer complications".
Children's heart surgery services are to be relocated from Glenfield Hospital to Birmingham Children's Hospital as part of a national reorganisation.
Campaigners fighting to save children's heart surgery services in Leicester say a review ordered by the government does not go far enough.
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Previous Health Secretary Andrew Lansley decided to move the ECMO department only after the decision to relocate the children's congenital heart surgery services had been made.
It had argued consultations around the streamlining of paediatric heart surgery services in England were unlawful and that the closure of its child surgery unit would be "bureaucratic vandalism".
On Friday the Leicester, Leicestershire and Rutland Joint Health and Overview Scrutiny Committee said it had sent a document to Secretary of State for Health Jeremy Hunt to appeal against moving children's heart surgery services.
But the JCPCT chose only to look at the panel's total scores, and "bizarrely" refused to disclose the sub-scores to consultees, although it made them available "almost immediately" after it made its decision on how heart surgery services were to be reconfigured.
The Golden Jubilee National Hospital in Clydebank is home to regional and national heart and lung services, a major centre for orthopaedics and is also the flagship hospital for reducing waiting times in key elective specialties.
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Jaradat was not on hunger strike and died of an apparent heart attack, Israeli prison services spokeswoman Sivan Weizman said.
In time, specialised services, such as children's acute hospital services and children's heart surgery should be included, and be able to show it can deliver all aspects of the service.
Based in San Francisco, closely held Strava is also used by runners, who can win a CR course record for posting the fastest time on a particular segment. (About half of Strava runners are women.) The site charges a fee for premium services such as analysis of heart-rate data.
Secretary MIKE LEAVITT (Secretary, U.S. Department of Health and Human Services): At the very heart of this is a competitive marketplace and it's working.
His answer is a greater transparency, a "duty of candour", and an emphasis on compassion at the heart of the so-called "caring services", especially nursing.
BBC: Will Francis report rebuild trust in Stafford Hospital?
The commission will also carry out national reviews to improve performance in areas including children's hospital services, hospital acquired infection, heart failure, substance misuse, tobacco control and mental health.
The first hospital I visited, McAllen Heart Hospital, is owned by Universal Health Services, a for-profit hospital chain with headquarters in King of Prussia, Pennsylvania, and revenues of five billion dollars last year.
The heart of the changes show an emphasis on preventive services, end-of-life conversations, prescription drug coverage, insurance company restrictions, with little focus on how this will all effect your doctor, accessibility of services, or your premiums.
An independent review will also take place into breast care services at Solihull Hospital, part of the Heart of England NHS Trust.
For example, an ACO could bundle a certain episode of care (EOC), such as the services required to manage a patient receiving a heart transplant, and then create a financial instrument based on profits associated with providing that particular set of care.
Right at the heart of the EU project is the free movement of goods, services, labour and capital.
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The heart of it will be a capabilities layer that includes content, services, applications, file sharing, backup, and sync.
Health services must take the long term view and prevent the heart attacks, strokes, blindness and kidney damage that diabetes can cause.
Other key elements of the act include access to a choice of high quality services and ensuring that public service principles remain at the heart of British broadcasting.
Merck's strength in cardiovascular ailments, for example, has allowed it to train a salesforce expert in this area, and to strike package deals for various heart pills with managed-care organisations and state-owned health services.
The heart of Windsor II's portfolios is oil, utilities and financial services.
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