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A conjugate point test determining an index of the constrained second variation in one-dimensional isoperimetric calculus of variations problems is described. The test is then implemented numerically to determine stability properties of equilibria within a continuum mechanics model of DNA minicircles.

- P B Furrer, R S Manning, J H Maddocks
- Biophysical journal
- 2000

Within the context of DNA rings, we analyze the relationship between intrinsic shape and the existence of multiple stable equilibria, either nicked or cyclized with the same link. A simple test, based on a perturbation expansion of symmetry breaking within a continuum elastic rod model, provides good predictions of the occurrence of such multiple… (More)

- Jonathan S Mitchell, Jaroslaw Glowacki, Alexandre E Grandchamp, Robert S Manning, John H Maddocks
- Journal of chemical theory and computation
- 2017

A Monte Carlo code applied to the cgDNA coarse-grain rigid-base model of B-form double-stranded DNA is used to predict a sequence-averaged persistence length of lF = 53.5 nm in the sense of Flory, and of lp = 160 bp or 53.5 nm in the sense of apparent tangent-tangent correlation decay. These estimates are slightly higher than the consensus experimental… (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)

- 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)

- 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)

- Lois R Manning, J Eric Russell, Anthony M Popowicz, Robert S Manning, Julio C Padovan, James M Manning
- Biochemistry
- 2009

A previously unrecognized function of normal human hemoglobins occurring during protein assembly is described, i.e. self-regulation of subunit pairings and their durations arising from the variable strengths of their subunit interactions. Although many mutant human hemoglobins are known to have altered subunit interface strengths, those of the normal… (More)

The conjugate point theory of the calculus of variations is extended to apply to the buckling of an elastic rod in an external field, using the operator approach presented in [14], which we show can be used when the second variation operator is an integrodifferential operator, rather than a differential operator as in the classical case. The external field… (More)

- Lois R Manning, J Eric Russell, +4 authors James M Manning
- Protein science : a publication of the Protein…
- 2007

The different types of naturally occurring, normal human hemoglobins vary in their tetramer-dimer subunit interface strengths (stabilities) by three orders of magnitude in the liganded (CO or oxy) state. The presence of embryonic zeta-subunits leads to an average 20-fold weakening of tetramer-dimer interfaces compared to corresponding hemoglobins containing… (More)

- E A Schmalzer, R S Manning, S Chien
- The Journal of laboratory and clinical medicine
- 1989

The rheologic behavior of sickle cells was evaluated with a constant flow filtration system at 37 degrees C by using filters with pores of 4.8 microns diameter. Analysis of the shape of the pressure-time curves suggested that sickle cells were subdivided into two discrete subpopulations: (1) relatively deformable cells and (2) cells so rigid that they… (More)