These individuals exhibit autonomic dysregulation due to elevated sympathetic activity and norepinephrine spillover, and low parasympathetic activity. It is generally accepted that this uncontrolled, resistant HTN is primarily "neurogenic" in origin, involving over activity of the sympathetic nervous system that initiates and sustains HTN. A surgical approach such as the recently developed "Simplicity Catheter" assisted renal denervation remains one of the few options available to these patients. Thus, a mechanism-based breakthrough is imperative to develop novel strategies to prevent and perhaps eventually cure neurogenic hypertension (NH). This study is designed to evaluate a low and high dose of minocycline to test the hypothesis that minocycline treatment would produce antihypertensive effects in drug-resistant neurogenic hypertensive individuals. Minocycline has been selected because of its demonstrated effects on inhibiting microglial activation and its ability to penetrate the blood brain barrier. There is no other compound available that is safer and displays specificity better than Minocycline in inhibiting microglial activation. Thus, the potential therapeutic benefits of this inexpensive, well tolerated, already FDA-approved drug that has minimal side effects would be enormous.