Super Fill

\(\dot{\theta} = \kappa v \theta\)

\(v = v_0 + v_1 \theta\)

Extreme Fill

\(v = v_0 \left(1 - \theta \right)\)

\(\dot{\theta}= k^+ c_{\theta} \left( 1 - \theta \right) - k^- \theta v\)

Steady solutions: \(\theta=1\) and \(\theta = \frac{ k^+ c_{ \theta } } { k^- v_0 }\)

Extreme Fill 1D

\(\theta \approx 109.6 \bar{c_{\theta}}\) \(\longrightarrow\) \(\theta \approx 11.0 \bar{c_{\theta}}\)

Extreme Fill 1D

Extreme Fill 2D

Resources

• Research blog: https://wd15.github.io

• Extreme fill 1D: https://wd15.github.io/extremefill

• Extreme fill 2D: https://github.com/wd15/extremefill2D

• Slides: https://wd15.github.io/2013/06/20/intel