The key to the new 'brain in bottle' research involved nourishing immature cells in a gel-like "matrix" that allowed the complex organoid structures to develop.
These were then transferred to a spinning bioreactor which provided extra nutrients and oxygen, enabling them to grow much larger in size.
After two months of development the "mini-brains" had become globular spheres up to four millimetres in diameter.
Each one surrounded a ventricle-like inner cavity and mimicked the layered structure of a human brain growing within a developing foetus.
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The Metropolitan Police Federation, which set up the official JustGiving site, said it felt a "suitable amount" had been collected.
There is no evidence the Westminster attacker Khalid Masood was associated with so-called Islamic State or al Qaeda, the Met Police said.
Janet Ajao said in a statement: "I do not condone his actions nor support the beliefs he held that led to him committing this atrocity."