deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 8c47fed..9aa3e34 100644  --- a/untitled.tex  +++ b/untitled.tex 
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$h_a (t) \equiv $ fraction of host cells with attached bacteria $ = \frac{H_a}{H_{\rm tot}}$  $h_v (t) \equiv $ fraction of host cells with invaded vacuolar bacteria $ = \frac{H_x}{H_{\rm \frac{H_v}{H_{\rm  tot}}$ $h_c (t) \equiv $ fraction of host cells with invaded cytosolic bacteria $ = \frac{H_y}{H_{\rm \frac{H_c}{H_{\rm  tot}}$ $h_r (t) \equiv $ fraction of host cells with ruffles $ = \frac{H_r}{H_{\rm tot}}$