Jinzhu Duan, Costin Gherghe, Dianxin Liu, Eric Hamlett, Luxman Srikantha, Laurel Rodgers, Jenna N Regan, Mauricio Rojas, Monte Willis, Andrew Leask, Mark Majesky and Arjun Deb* Department of Medicine, McAllister Heart Institute and Lineberger Comprehensive Cancer Center, University of North Carolina, Chapel Hill, NC, USA, Department of Cell and Molecular Physiology, McAllister Heart Institute a...

The standard intertemporal model of open economy with a dynamic budget constraint predicts that investment and saving should be cointegrated as long as the economy does not violate its budget constraint. Recent empirical studies of the long run investment-saving comovement for the 1947:1–1987:3 period US data, however, report conflicting findings: some studies find that the time series of inves...

Stephen E. Schauer, Teresa A. Golden, Delwin S. Merchant, Biranchi N. Patra, Jean D. Lang, Sumita Ray, Bulbul Chakravarti, Deb Chakravarti, and Animesh Ray Department of Biology, University of Rochester, Rochester, NY 14627, USA and Keck Graduate Institute, 535 Watson Drive, Claremont, CA 91711, USA Address communication to: Animesh Ray, Keck Graduate Institute, Claremont, CA 91711; Phone: (909...

We consider both discrete and continuous control problems constrained by a fixed budget of some resource, which may be renewed upon entering a preferred subset of the state space. In the discrete case, we consider both deterministic and stochastic shortest path problems with full budget resets in all preferred nodes. In the continuous case, we derive augmented PDEs of optimal control, which are...

To control ever-increasing costs, global budget payment has gained attention but has unclear impacts on health care systems. We propose the CAP framework that helps navigate 3 domains of difficult design choices in global budget payment: Constraints in resources (capitation vs facility-based budgeting; hard vs soft budget constraints), Agent-principal in resource allocation (individual vs group...

We model the spread of information in a homogeneously mixed population using the Maki Thompson rumor model. We formulate an optimal control problem, from the perspective of single campaigner, to maximize the spread of information when the campaign budget is fixed. Control signals, such as advertising in the mass media, attempt to convert ignorants and stiflers into spreaders. We show the existe...

We present new dynamic schemes that continuously redistribute a fixed power budget among a set of mobile wireless nodes participating in a multi-hop wireless connection. The schemes operate with the objective of maximizing the expected lifetime of the connection. First, we evaluate performance gains obtained by the proposed schemes and quantify their sensitivity to various system parameters, in...