Resolving and Mathematizing Energetic Gradients ThatFacilitate Cytoskeletal Self-Assembly

In the thesis that follows, I describe three interconnected stories. These threads strive to paint a unified picture of the energetic and mechanical assembly of motor proteins and microtubules into structures that resemble mitotic spindles, the complex molecular machines that segregate chromosomes during cell division. In the work described, we introduce a new method for direct measurement of ATP molecules in space and time, building upon the field’s excitement towards witnessing gradients in isolated processes. We additionally write mathematical models exploring the physics of building and maintaining gradients in non-equilibrium steady states. And, in the spirit of comprehensively understanding our system, we explore the material properties of dynamic network formation.