In this work we defined the implications of the handgrip strength and the alternation of the shoulder joint during the 30-day period of rehabilitation. Thus, with the help of the regression method, as well as the modified exponential function, we aimed to create alternation models during the application period of kynezitherapy implements. This work concentrates on the alternation of the injured hand muscles’ strength and the mobility of the shoulder joint measurements, as well as the models of these measurements during the rehabilitation period. Our aims were: 1) to evaluate the probability of applying the modified exponential function, devising the models of alternation, concerning impetus to different age and sex groups, during the period of physiotherapy rehabilitation; 2) to identify the probability of applying the modified exponential function, devising the models of alternation, concerning joint mobility to different age groups, during the period of physiotherapy rehabilitation. 29 patients, divided into three age groups (21-35, 36-55, 56-70 year-olds), participated in a survey of hand tightening. These patients were also subdivided into groups, according to their sex. In the survey of the shoulder joint mobility, there were 18 participants, divided into the same age groups. According to the results of the survey, we came upon these conclusions: 1. Modified exponential function can be applied modeling the results of alternation, concerning the handgrip strength... [to full text]