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Factors affecting grip force: anatomy, mechanics, and referent configurations

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Abstract

The extrinsic digit muscles naturally couple wrist action and grip force in prehensile tasks. We explored the effects of wrist position on the steady-state grip force and grip-force change during imposed changes in the grip aperture [apparent stiffness (AS)]. Subjects held an instrumented handle steady using a prismatic five-digit grip. The grip aperture was changed slowly, while the subjects were instructed not to react voluntarily to these changes. An increase in the aperture resulted in an increase in grip force, and its contraction resulted in a proportional drop in grip force. The AS values (between 4 and 6 N/cm) were consistent across a wide range of wrist positions. These values were larger when the subjects performed the task with eyes open as compared to eyes-closed trials. They were also larger for trials that started from a larger initial aperture. After a sequence of aperture increase and decrease to the initial width, grip force dropped by about 25 % without the subjects being aware of this. We interpret the findings within the referent configuration hypothesis of grip-force production. The results support the idea of back-coupling between the referent and actual digit coordinates. According to this idea, the central nervous system defines referent coordinates for the digit tips, and the difference between the referent and actual coordinates leads to force production. If actual coordinates are not allowed to move to referent ones, referent coordinates show a relatively slow drift toward the actual ones.

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Acknowledgments

We thank Ms. Kelly Ann Carey for her assistance in data collection. The present work was supported by NIH Grants NS-035032 and AR-048563.

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Correspondence to Satyajit Ambike.

Appendix: Statistical analysis of the unbalanced digit moments

Appendix: Statistical analysis of the unbalanced digit moments

For each trial, the resultant moment of all digits was computed in the handle-fixed reference frame located at point P (Fig. 1). The moment profiles were averaged across the three repetitions for each condition. We analyzed the moment in the grasp plane (M Y ) and the magnitude of the moment vector (|M|). From the averaged moment trajectory for each condition, the following six M Y and |M| values were selected: (1) initial steady-state values (IniSS), (2) the maximum value during the aperture-opening phase (max open), (3) the minimum value during the aperture-opening phase (min open), (4) the maximum value during the aperture-closing phase (max close), (5) the minimum value during the aperture-closing phase (min close), and (6) the final steady-state value (FinSS). Data were pooled across subjects and conditions (wrist position, eyes open/closed, initial aperture size) and subjected to a one-way ANOVA with the factor Epoch (6 levels). Pairwise comparisons were done using Bonferroni corrections.

The results are shown in Fig. 7. The ANOVA showed a significant effect of Epoch for both M Y [F (5,1094) = 37.104, p < 0.01] and |M| [F (5,1094) = 31.395; p < 0.01], and several pairwise comparisons were significant. We summarize the main observations below.

Fig. 7
figure 7

The mean and SD for the unbalanced moment about the handle-fixed Y-axis M Y (black bars) and the magnitude of the net unbalanced moment |M| (white bars) are shown. These variables were analyzed at the following six conditions: (1) initial steady state (IniSS), (2) the maximum during the aperture-opening phase (max open), (3) the minimum during the aperture-opening phase (min open), (4) the maximum during the aperture-closing phase (max close), (5) the minimum during the aperture-closing phase (min close), and (6) the final steady state (FinSS)

  1. 1.

    The initial and final steady-state values were the same for both variables.

  2. 2.

    The moments dropped during the aperture-opening epoch from their initial steady-state values.

  3. 3.

    The moments recovered during the aperture-closing epoch.

  4. 4.

    These changes, although significant, were small. The largest differences between the marginal means for any pair were −33.26 N/mm for M Y and 19.9 N/mm for |M|.

  5. 5.

    The overall means (SD) for the two variables were −50.23 ± 28.2 N/mm for M Y and 60.91 ± 20.9 N/mm for |M|.

We conclude that a consistent, nonzero moment was applied by the digits on the handle to counter the unbalanced external torque. Possible sources of this external torque are the handle weight, since the handle CG is not located at point P (Fig. 1), and cables of the sensors and the laser. In particular, the digits applied a consistent supination moment of about 50 N/mm on the handle.

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Ambike, S., Paclet, F., Zatsiorsky, V.M. et al. Factors affecting grip force: anatomy, mechanics, and referent configurations. Exp Brain Res 232, 1219–1231 (2014). https://doi.org/10.1007/s00221-014-3838-8

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