"profoundly analyzed" is a correct and usable phrase in written English.
You can use it to describe something that has been examined in great detail. For example, "The judge's decision was profoundly analyzed by the legal experts."
In order to develop new insights into the rational drug design, conformational changes were profoundly analyzed and discussed.
It profoundly analyzed the security standard of supply for urban power networks, and established quantitative indicators of load groups based on different fault conditions.
Numerical simulation and field measurement being taken into consideration, Shaft effect has been profoundly analyzed on this study based on construction ventilation of Guantian tunnel, the optimization of fan arrangement near cross passage and the bottom of shaft.
The influences of the surface morphology and the basic physical and chemical properties of the fabric substrates on the PCFs as well as the related structural colors were thoroughly investigated by means of optical microscope, field emission scanning electron microscope (FESEM) and UV Vis spectrometer, and the related mechanisms were profoundly analyzed.
Although profoundly analyzed with respect to fungal biotrophy 11 and gall-causing pathogens, 12 the potential connection of cytokinins to plant immune pathways such as the SA JA/Et backbone of immunity 6 was still not known until recently.
Case studies can profoundly analyze and theorize the emerging phenomena and problems during management practice (Yin 2008).
However, if we profoundly analyze existing conflicts it becomes clear that religious reasons in many cases are not really at the heart of them.
In the second step, main actors were identified in the articles and analyzed more profoundly by examining their own publications, e.g. press releases, homepages etc.
Second, TIL are in an anergic state that profoundly affects several signalling pathways, when analyzed immediately in ex vivo TIL, but which starts to reverse rapidly when the cells are put in culture.
More profoundly, he attempted to analyze the fundamental ideas animating the movement and, fastening on the Revolutionary concepts of "the rights of man" and popular sovereignty, emphasized the dangers of democracy in the abstract and the mere rule of numbers when unrestrained and unguided by the responsible leadership of a hereditary aristocracy.
The first data set they analyzed was on the economic productivity of American cities, and it quickly became clear that their working hypothesis — like elephants, cities become more efficient as they get bigger — was profoundly incomplete.
