5 problems

Nonlinear instability conjecture. In the range of parameters such that the total myosin mass $M$ of traveling wave solutions decreases as a function of $V$ for small $V$, these sol…

Consider the evolution of a cell in the regime where traveling waves eventually turn or wander, and the two effects described in the source: the period of intervals of unstable vel…

Let $V_\varepsilon$ denote the stable/unstable velocities associated with the traveling wave solutions, and consider a protrusion wave on a cell curve. Velocity-governance conjectu…

Let $V(t)$ solve the interface velocity law … where $F(t)$ is the forcing, and let $\mathcal{S}$ be the set of stable velocities. Theorem 1Dinterface describes the continuous evolu…

Let $c_0$ be the constant and let $\beta$ be the parameter in the velocity law. For a velocity $V$, define the stable-velocity set … where $\sigma(\mathcal{A}_V)$ is the spectrum o…