Brown, who celebrated his 35th birthday last week, will be replaced in Scotland's squad by Dewald Nel, who is currently playing grade cricket in Brisbane.
"It is obviously a blow to lose our most experienced player," said Craig Wright, Scotland's captain, "but we have been hearing very good reports about the form of Dewald in Australia and we have more than enough quality throughout the squad to perform well in these matches."
Their squad includes Durham's Gavin Hamilton, who toured South Africa with England in 1999-2000, and John Blain, who has represented Northamptonshire and had the best strike-rate in the 1999 World Cup.
United States of America tour of Bermuda
Bermuda tour of Canada
Canada tour of United Arab Emirates
Canada tour of United States of America
Ireland tour of Netherlands
Scotland tour of Ireland
Namibia tour of Kenya
Scotland tour of United Arab Emirates
Kenya tour of United Arab Emirates
Uganda tour of Kenya
Malaysia tour of Nepal
United Arab Emirates tour of Malaysia
Uganda tour of Namibia
Nepal tour of United Arab Emirates
Netherlands tour of Scotland
ICC Intercontinental Cup