Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 222, pp. 1-21. Title: Transport equation for growing bacterial populations (II) Author: Mohamed Boulanouar (Univ. de Poitiers, France) Abstract: This article studies the growing bacterial population. Each bacterium is distinguished by its degree of maturity and its maturation velocity. To complete the study in [3], we describe the bacterial profile of this population by proving that the generated semigroup possesses an asynchronous exponential growth property. Submitted September 3, 2012. Published December 04, 2012. Math Subject Classifications: 92C37, 82D75. Key Words: Semigroups; positivity; irreducibility; spectral properties; cell population dynamics; general boundary condition.