A catheter having features configured to provide a substantially uniform flow rate of a fluid exiting the catheter and also exhibits anti-microbial properties. The uniform flow rate features may include one or more of a flow restricting membrane or flow restricting component within an infusion section of the catheter. In other arrangements, exit holes defining the infusion section of the catheter may be configured to provide the desired uniform flow rate over the length of the infusion section. Furthermore, the catheter also includes anti-microbial properties to inhibit the growth of microbes on or within the catheter and, preferably, to inhibit microbe growth in an anatomical region surrounding the catheter. The desired anti-microbial properties may be provided by an anti-microbial layer, anti-microbial materials dispersed within the material from which components of the catheters are constructed, or a combination of anti-microbial layers and embedded anti-microbial materials. In some arrangements, one or more portions of the catheter may be bio-absorbable.