Their 3-1 reverse at Walsall ended a 15-game unbeaten run which has moved the Cherries from 21st to eighth in the division but they may have to face rock-bottom Pools without two midfield regulars.
Pugh suffered a dead leg in the FA Cup defeat to Wigan last week and is doubtful while Arter had to be withdrawn just 30 minutes into the clash with the Saddlers as he picked up a calf strain.
Striker Wes Thomas, back in the squad after returning from a loan spell at Blackpool, picked up a head injury on Saturday but should still make the long trip north while Richard Hughes missed the defeat because of illness but trained on Monday.
"We have to make sure it was a one off and go again - what I am looking for now is a reaction," Howe told the club's official website.
"We knew at some time we would get a disappointing result and performance because that is football. We now have to make sure it doesn't happen again for a long time."