It is possible to collect such data from Scopus database. If the research area is mentioned in the research articles especially as key words, Scopus would show the number of articles per year. Please refer the screenshots for an example.
PubMed database would ease your job. You need to enter the desired keywords (such as ‘myeloid leukemia’ as shown in the image) and click the timeline option to select a particular year to view the no. of publications.