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Quasi-interpolation is very useful in the study of the approximation theory and its applications, since the method can yield solutions directly and does not require solving any linear system of equations. However, quasi-interpolation is usually discussed only for gridded data in the literature. In this paper we shall introduce a generalized Strang-Fix… (More)

A branching actin network is the major engine that drives cell motility. A measure of the effectiveness of an engine is the velocity the engine is able to produce at a given resistance-the force-velocity relationship. Concave force-velocity relationships consist of a force-insensitive region, indicative of an adaptive response. In contrast, convex… (More)

- Daniel Smith, Jian Liu
- 2013

Many models have been developed to study the role of branching actin networks in motility. One important component of those models is the distribution of filament orientations relative to the cell membrane. Two mean-field models previously proposed are generalized and analyzed. In particular, we find that both models uniquely select for a dominant… (More)

- Daniel B. Smith, Jian Liu
- 2011

Actin networks, acting as an engine pushing against an external load, are fundamentally important to cell motility. A measure of the effectiveness of an engine is the velocity the engine is able to produce at a given force, the force-velocity curve. One type of force-velocity curve, consisting of a concave region where velocity is insensitive to increasing… (More)

- Michelle Sabourin, Ying Huang, Prasad Dhulipala, Shannon Beatty, Jian Liu, Peter Slade +10 others
- BMC proceedings
- 2011

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