10 problems

Let VSV denote vesicular stomatitis virus and VV denote vaccinia virus in the combined-therapy model. Compare changes in the VSV infection rate with comparable changes in the VV in…

Sensitivity vanishing and sign-change conjecture. The sensitivity $\alpha_4$ vanishes for $c(x)=\beta^{-1}$ and becomes negative for $c(x)>\beta^{-1}$, irrespective of the value of…

Piecewise-linear boundary conjecture. Propositions similar to those proved above might be straightforwardly adapted for arbitrary piecewise linear boundaries, with basic feasible s…

Quantile balancing conjecture. The quantile balancing procedure could be modified to give sharp bounds for discrete outcomes.

Let $C_0$ be the parameter governing the magnitude of the spontaneous curvature, let the membrane shape be generated by a curve, and consider the sensitivity of the membrane energy…

Let $F(u)$ denote the function whose nonzero-to-zero transition determines the spontaneous-curvature profile, and consider the corresponding membrane shape equation and its solutio…

Let a reflected Brownian motion in a convex polyhedral cone have a stationary distribution, and consider the joint process used to represent sensitivities of its stationary distrib…

Sensitivity-ordering conjecture. If the components of $\mathbf{X}$ are arranged in decreasing order of their sensitivity in estimating the function $h$, then this arrangement gives…

A detailed-balance reaction network has sensitivity $S$, defined as the supremum of the output response to an input perturbation over time. Suppose several such systems are concate…

Let $T$ be the index set of a linear semi-infinite program, let $P(\bar{c},\bar{b})$ satisfy the Slater condition, let $\bar{x}\in\mathcal{S}(\bar{c},\bar{b})$, and suppose that…