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- Kathleen A. Hoffman, Robert S. Manning, Randy C. Paffenroth
- SIAM J. Applied Dynamical Systems
- 2002

We consider the problem of minimizing the energy of an inextensible elastic strut with length 1 subject to an imposed twist angle and force. In a standard calculus of variations approach, one first locates equilibria by solving the Euler–Lagrange ODE with boundary conditions at arclength values 0 and 1. Then one classifies each equilibrium by counting… (More)

- Kathleen A Hoffman, Robert S Manning, John H Maddocks
- Biopolymers
- 2003

We describe how the stability properties of DNA minicircles can be directly read from plots of various biologically intuitive quantities along families of equilibrium configurations. Our conclusions follow from extensions of the mathematical theory of distinguished bifurcation diagrams that are applied within the specific context of an elastic rod model of… (More)

Nonlinear problems arising in modeling applications are frequently parameter dependent, so that families of solutions are of interest. Such problems naturally lend themselves to interactive computation that exploits parameter continuation methods combined with visualization techniques. Visualization provides both understanding of the solution set and… (More)

- Robert S. Manning
- SIAM Review
- 2009

The theory of conjugate points in the calculus of variations is reconsidered with a perspective emphasizing the connection to finite-dimensional optimization. The object of central importance is the spectrum of the second-variation operator, analogous to the eigenvalues of the Hessian matrix in finite dimensions. With a few basic properties of this… (More)

- Iruka N Okeke, Robert S Manning, Thomas Pfeiffer
- Journal of infection in developing countries
- 2014

INTRODUCTION
Viral hemorrhagic fever (VHF) outbreaks, with high mortality rates, have often been amplified in African health institutions due to person-to-person transmission via infected body fluids. By collating and analyzing epidemiological data from documented outbreaks, we observed that diagnostic delay contributes to epidemic size for Ebola and… (More)

- Kathleen A. Hoffman, Robert S. Manning
- SIAM J. Math. Analysis
- 2009

The theory of conjugate points in the classic calculus of variations allows, for a certain class of functionals, the characterization of a critical point as stable (i.e., a local minimum) or not. In this work, we generalize this theory to more general functionals, assuming certain generic properties of the second variation operator. The extended conjugate… (More)

- Suzanne Amador Kane, Marjon Zamani, +7 authors Walter F. Smith
- 2015

I worked at an electronics start-up company between undergraduate and graduate school. When hawks attack: animal-borne video studies of goshawk pursuit and prey evasion strategies " , The Journal of Experimental Biology, 218:212-222 (2015). (cited by 3) * 2. Suzanne Amador Kane and Marjon Zamani, " Falcons pursue prey using visual cues: new perspectives… (More)

- James M. Manning, Lois R. Manning, +11 authors JAMES M. MANNING

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