There are no cytotoxic B cells, only cytotoxic T cells.
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The cytotoxic T cell, when it finds cells displaying the wrong
antigens, ruptures the cell membrane of the offending cell killing
it. Cytotoxic T cells are effective against virus infected cells
and cancer cells.
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cytotoxic t cell and helper t cell
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A cytotoxic T cell kills cells that have been infected by a
virus or bacterium. It does this by puncturing the cell's membrane
and by emitting a toxin that kills cells.