If you arrive at Gatwick Airport there is a coach service between Gatwick airport and Heathrow airport, which takes about 1 hour, 15 mins and costs £25 per adult one direction.
Please check this website for details and costs (also includes details on travel between Heathrow Airport and Stanstead Airport).
From Heathrow Airport to Brunel Campus is about 15 minutes by car/taxi and would cost about £15 one direction. There are buses that run from Heathrow Airport Central bus station to Brunel University campus (stop at Cleveland Road) and takes approximately 30 minutes one way: take route U3.
Route U3 bus timetable can be found at: http://www.londonbusroutes.net/times/U03.pdf
If you are travelling to Brunel University by car or train, please see the following page for details on getting to the campus:
Bus Routes around Brunel University Campus
If you will be arriving by car and require parking, please email the conference chair on firstname.lastname@example.org with the car registration and make/model in order to reserve a car parking place onsite.