1) Breaking through the surface 2) Bursting forth 
bursting out; bursting forth
Breaking through the surface; bursting forth. 
• (a.) Breaking out; -- said of certain fungi which burst through the texture of leaves.
Breaking through (e.g. growth of sporodochia through the epidermis of susceptible plant organs).
E·rum'pent adjective [ Latin erumpens , -entis , present participle of erumpere .] (Botany) Breaking out; -- said of certain fungi which burst through the texture of leaves. 
bursting forth. · (of fungi or algae) prominent; projecting from or bursting through host tissue.