The evaluation of the global atmospheric structure, variation, and loss rate is key to a better understanding of the physics that drives the current state of the Martian atmosphere. Operating for more than 2 Mars years, the Mars Atmosphere and Volatile EvolutioN (MAVEN) mission has provided an unprecedented opportunity to study the spatial and temporal variability of the Martian upper atmosphere and ionosphere and their interaction with the solar wind under both nominal and disturbed conditions. One of the primary goals of the MAVEN mission is to characterize the atmospheric loss rates at Mars and understand the relations between those escape rates and solar drivers. Among the dominant atmospheric loss processes, photochemical escape is the major loss process of heavy atomic species, where the escape rate is not directly measured by MAVEN, requiring numerical models to constrain. This talk will present comprehensive modeling efforts of photochemical escape process and formation of the hot atomic coronae at Mars for various atmospheric conditions. The talk will also present the observed and modeled characteristics of the Martian upper atmosphere and ionosphere, that are relevant to the photochemical escape process.