Amicroscopic view of mildew fungus displays thin, threadlike filaments, which take nutrients from the host cell. what are these filaments called? mycelia hyphae spores

Fungi release enzymes which in turn help in digesting external material. Then the fungi absorb that digested compound that is created by the enzyme. For example, Cordyceps is a fungus that grow in the higher altitudes of the Himalayas and Tibetan plateau.  It is a fungal parasite that infects ants and other insects like caterpillars . It uses the carcass of the insect as food, shooting out medusa-like stems that yield spores, ready to infect another host.

Where's the picture of the model?

Yes yes yes very good