Objective: Vascular reserve is the increase in flow that follows maximum vasodilatation in vivo. Longstanding arterial hypertension may reduce the vascular reserve. The functional consequence is a reduced maximum working capacity of the tissue as well as an increased risk of relative tissue ischemia in situations of high perfusion demand. Characteristic changes in the microcirculatory network of hypertensive individuals include rarefaction and vascular remodeling. Whereas extensive disappearance of microvessels, i.e. rarefaction, obviously may lead to a reduced transport capacity of the network, the role vascular remodeling is less clear. In human essential hypertension remodeling tend to be inward, leading to a smaller lumen, as well as eutrophic, i.e. without a change in the total amount of vessel wall material. A narrowing of the lumen may at first sight fit with a reduced vascular reserve. Vessels in a hypertensive network will on the other hand, experience a compensatory larger pressure gradient, and hence a larger driving force on the blood. Therefore the effect of inward eutrophic remodeling on vascular reserve is not clear. Methods: We present a mathematical model of single, unbranched vessel segment that shows eutrophic remodeling in response to a shift in pressure. Results: In the normotensive situation flow is measured both at a normal level of tone and during maximum vasodilatation. Hereafter the pressure is increased which induces inward eutrophic remodeling. As the remodeling process ceases, flow has returned to its normotensive value. Complete vasorelaxation in this hypertensive situation gives the same value for the flow as during normotensive vasorelaxation. Conclusion: Although vessel lumen has narrowed due to inward remodeling, the increased pressure gradient along the vessel compensates sufficiently to keep the same flow both with and without the presence of tone. Hence, inward eutrophic remodeling per se may not give rise a reduced vascular reserve. It remains to be shown if the same holds in a network of vessels.