Mr. trident is arguing that the hospital has violated his 14th amendment right to due process. what part of the 14th amendment is he referring to in his argument?

Here's the part of the 14th Amendment Mr. Trident is referring to:

History/context:

The 14th Amendment guaranteed rights to life, liberty and  property to all citizens born in the United States -- including those who formerly were slaves in states in the South.  The amendment was ratified in 1868, following the Civil War, and was one of three amendments (XIII, XIV, XV) which were aimed at making black Americans full citizens of the USA.  The full text of the 14th Amendment stated:  

in 342 bc j._c. egypt fell into the hands of the persians, under the reign of nectanebo ii

greek city-states unite in a revolt against the persian empire at the beginning of the fifth century bc. j.-c  

from the year 660 or 659 bc ad, cyrus preached the revolt against the medes to deliver the persians.