With great honor and interest to read the study by Barnett and Doubleday on demonstrating the ascendancy of COVID-19 research using acronyms (Barnett & Doubleday, 2021). However, one major concern was the determination of burst points for keywords in the study. For example, the eight most popular acronyms in 2019 and 2020 were individually labeled with a graph, but no further information about the method used to determine the bursting point was interpreted.

Similar to the inflection point of accumulative confirmed cases in COVID-19 determined for each country/region (Lee, 2021; Wang 2021), the prediction model based on item response theory (IRT) was built in Microsoft Excel. The inflection point was then determined by searching the maximal changing point on a given ogive point (e.g., using the absolute advantage coefficient (AAC) at the bust point) (Kuo, 2021; Yang 2021). The inflection point denoted by the topic burst (Shen, 2018) was demonstrated in the four acronyms in Fig. 1. The observed data using the Solver add-in tool in MS Excel (Lee, 2021; Wang 2021). The inflection point appears on the smooth plane curve where curvature changes sign from an increasing concave (concave downward) to a decreasing convex (concave upward) shape, or vice versa (Wiki, 2021).

Fig. 1
figure 1

The determination of inflection point on a given curve

The burst strength is defined by the equation (= log (square(AAC \(\times\) count at inflection point). The trends of those eight acronyms are jointly displayed on a temporal bar graph (TBG) (Shen, 2018). More information is immediately popped up, including the raw data, burst strength, and frequency at the inflection point) once the icon of the inflection point is clicked. In Fig. 2, we can see that all inflection points are determined, which are coincided with the eight most popular acronyms in 2019 and 2020 addressed in the study (Barnett & Doubleday, 2021).

Fig. 2
figure 2

The temporal bar graph to display the trend of keywords

The TBG combined with the inflection points of keywords can make the data in trend easier and clearer to understand than the traditional trend chart used in ever before bibliometric analyses.