Transportation condition is in a foundation in promoting the coordinated development of region and enhancing regional competitiveness. A good design and efficient regional transport network will further improve and promote region economic integration. This paper aims to develop a regional transportation network growth model, which based on the mechanism of physarum connecting multiple food locations via a smart network. The mechanism involves the adaptation of the tubular body: a tube thickens as the flux through it increases. A mathematical model which contains a key parameter corresponding to the extent of the feedback regulation between the thickness of a tube and the flux through it is constructed to describe the tube dynamics. The adaptive transport corridor network growth for 16 cities in Yangtze River Delta was simulated using the model. The results show that the model can simulate the regional transport network growth; the proposed algorithm based on physarum is simple and powerful.