To solve some of the world’s toughest computing problems, Lawrence Livermore National Laboratory is getting a boost from the human brain.

The U.S. government lab will begin testing on Thursday a $1 million computer, the first of its kind, packed with 16 microprocessors that are designed to mimic the way the brain works.

The chip called TrueNorth, introduced by International Business Machines Corp. in 2014, is radically…