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In many cylindrical structures in biology, residual stress fields are created through differential growth. In particular, if the outer and inner layers of a cylinder grow differentially, parts of the cylinder will be in a state of axial compression and other parts will be in tension. These tissue tensions change the overall material properties of the structure. Here, we study the role of tissue tension in the overall rigidity and stability of the cylinder. A detailed analysis, based ondoi:10.1209/0295-5075/84/58004 fatcat:y75kj6fj65hu5pjyjpjyhvj6ma