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Immune response depends on mathematics of narrow escapes

The shape of immune cells plays key role in recognising invaders.

The ruffled surface of a T cell means only very small areas make close contact with potential enemy cells. CREDIT: Blausen Medical

The way immune cells pick friends from foes can be described by a classic maths puzzle known as the “narrow escape problem”.

That’s a key finding arising from an international collaboration between biologists, immunologists and mathematicians, published in the journal Proceedings of the National Academy of Sciences.

The narrow escape problem is a framework often applied in cellular biology. It posits randomly moving particles trapped in a space with only a tiny exit, and calculates the average time required for each one to escape.

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