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Assessing the cone of economy in patients with spinal disease using only a force plate: an observational retrospective cohort study

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Abstract

Study design

This is a retrospective cohort with multiple regression modeling.

Objective

The aim is to develop a new method for estimating cone of economy (CoE) using a force plate rather than traditional motion capture.

Background

Currently, most spinal deformity surgeons rely on static radiographic parameters for alignment, balance, and outcomes data alongside patient-reported outcome measures. The CoE, the stable region of upright posture, can be objectively measured to determine the efficiency and balance of the spine. Motion capture technology is currently used to collect data to calculate CoE, but this requires expensive and complex equipment, which is a barrier to widespread adoption and clinical use of CoE measurements. Force plates, which measure pressure, are less expensive and can be used in a clinical setting.

Methods

Motion capture and a force plate were used to quantify the CoE of 473 subjects (423 spinal surgical candidates; 50 healthy controls; 271 females; age: 58.60 ± 15.27; height: 1.69 ± 0.13; weight: 81.07 ± 20.91), and a linear multiple regression model was used to predict CoE using force plate data in a human motion laboratory setting. Patients were required to stand erect with feet together and eyes open in their self-perceived balanced and natural position for a full minute while measures of sway and center of pressure (CoP) were recorded.

Results

The CoP variable regression model successfully predicted CoE measurements. The variables that were used to predict vertical CoE were CoP coronal sway, CoP sagittal sway, and CoP total sway in several combinations. The coefficient of determination for the head total sway model indicated a 87.0% correlation (F(3,469) = 1044.14, p < 0.001). The coefficient of determination for the head sagittal sway model indicated a 69.2% correlation (F(3,469) = 351.70, p < 0.001). The coefficient of determination for the head coronal sway model indicated a 85.2% correlation (F(3,469) = 899.27, p < 0001).

Conclusion

Cone of economy was estimated from force plate data using center of pressure with high correlation without the use of motion capture in healthy controls and a variety of spine patients. This could lower the entry burden for measurement of the CoE in patients, enabling widespread use. This would provide surgeons objective global balance data, along with Haddas’ CoE classification system, that could assist with surgical decision-making and facilitate objective monitoring surgical outcomes.

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Correspondence to Ram Haddas.

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IRB Approval: The study was approved by the Western Institutional Review Board for the Protection of Human Subjects (IRB#: 20,152,881).

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Appendices

Appendix A Linear regression models to predict head total sway of the cone of economy

Equation 4: Head Total Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Total Sway}}} = 9.35 + \left( {1.41 \times {\text{CoP Coronal Sway}}} \right) + \left( {2.23 \times {\text{CoP Sagittal Sway}}} \right) + \left( {1.22 \times {\text{CoP Total Sway}}} \right)$$

Equation 5: Head Total Sway Regression Model for Spine Patients (N = 423).

$$\widehat{{\text{Head Total Sway}}} = 8.90 + \left( {1.45 \times {\text{CoP Coronal Sway}}} \right) + \left( {2.36 \times {\text{CoP Sagittal Sway}}} \right) + \left( {1.22 \times {\text{CoP Total Sway}}} \right)$$

Equation 6: Head Total Sway Regression Model for Controls (N = 50)

$$\widehat{{\text{Head Total Sway}}} = 8.31 - \left( 0.48 \times {\text{CoP Coronal Sway}} \right) - \left( 0.54 \times {\text{CoP Sagittal Sway}} \right) + \left( {1.72 \times {\text{CoP Total Sway}}} \right)$$

Equation 7: Head Total Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Total Sway}}} = 12.50 + \left( {1.42 \times {\text{CoP Total Sway}}} \right)$$

Equation 8: Head Total Sway Regression Model for Spine Patients (N = 423)

$$\widehat{{\text{Head Total Sway}}} = 12.47 + \left( {1.42 \times {\text{CoP Total Sway}}} \right)$$

Equation 9: Head Total Sway Regression Model for Controls (N = 50)

$${\widehat{{\text{Head Total Sway}}}} = 7.54 + \left( 1.67 \times {\text{CoP Total Sway}} \right)$$

CoP: Center of Pressure.

Appendix B. Linear regression models to predict head sagittal sway of the cone of economy

Equation 10: Head Sagittal Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Sagittal Sway}}} = 1.74 + \left( {0.21 \times CoP Coronal Sway} \right) + \left( {1.03 \times CoP Sagittal Sway} \right) + \left( {0.02 \times CoP Total Sway} \right)$$

Equation 11: Head Sagittal Sway Regression Model for Spine Patients (N = 423)

$$\widehat{{\text{Head Sagittal Sway}}} = 1.83 + \left( {0.20 \times {\text{CoP Coronal Sway}}} \right) + \left( {1.02 \times {\text{CoP Sagittal Sway}}} \right) + \left( {0.02 \times CoP Total Sway} \right)$$

Equation 12: Head Sagittal Sway Regression Model for Controls (N = 50)

$$\widehat{\text{Head Sagittal Sway}} = 0.93 - \left( 0.98 \times {\text{CoP Coronal Sway}} \right) - \left( 1.17 \times {\text{CoP Sagittal Sway}} \right) - \left( 0.01 \times {\text{CoP Total Sway}} \right)$$

Equation 13: Head Sagittal Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Sagittal Sway}}} = 1.76 + \left( {0.30 \times {\text{CoP Coronal Sway}}} \right) + \left( {1.16 \times {\text{CoP Sagittal Sway}}} \right)$$

Equation 14: Head Sagittal Sway Regression Model for Spine Patients (N = 423)

$$\widehat{{\text{Head Sagittal Sway} }}= 1.87 + \left( {0.29 \times {\text{CoP Coronal Sway}}} \right) + \left( {1.15 \times {\text{CoP Sagittal Sway}}} \right)$$

Equation 15: Head Sagittal Sway Regression Model for Controls (N = 50)

$$\widehat{{\text{Head Sagittal Sway}}} = 0.87 + \left( {0.95 \times {\text{CoP Coronal Sway}}} \right) + \left( {1.16 \times {\text{CoP Sagittal Sway}}} \right)$$

Equation 16: Head Sagittal Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Sagittal Sway}}} = 1.72 + \left( 1.34 \times {\text{CoP Sagittal Sway}} \right)$$

Equation 17: Head Sagittal Sway Regression Model for Spine Patients (N = 423)

$$\widehat{{\text{Head Sagittal Sway}}} = 1.85 + \left( {1.32 \times {\text{CoP Sagittal Sway}}} \right)$$

Equation 18 Head Sagittal Sway Regression Model for Controls (N = 50)

$$\widehat{{\text{Head Sagittal Sway}}} = 1.42 + \left( {1.27 \times {\text{CoP Sagittal Sway}}} \right)$$

CoP: Center of Pressure.

Appendix C: Linear regression models to predict head coronal sway of the cone of economy

Equation 19: Head Coronal Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Coronal Sway}}} = 0.48 + \left( {1.11 \times {\text{CoP Coronal Sway}}} \right) + \left( {0.02 \times {\text{CoP Sagittal Sway}}} \right) + \left( {0.01 \times {\text{CoP Total Sway}}} \right)$$

Equation 20: Head Coronal Sway Regression Model for Spine Patients (N = 423)

$$\widehat{{\text{Head Coronal Sway}}} = 0.48 + \left( {1.11 \times {\text{CoP Coronal Sway}}} \right) + \left( {0.02 \times {\text{CoP Sagittal Sway}}} \right) + \left( {0.01 \times {\text{CoP Total Sway}}} \right)$$

Equation 21: Head Coronal Sway Regression Model for Controls (N = 50)

$$\widehat{{\text{Head Coronal Sway}}} = 0.38 + \left( {1.21 \times {\text{CoP Coronal Sway}}} \right) + \left( {0.02 \times {\text{CoP Sagittal Sway}}} \right) + \left( {0.02 \times {\text{CoP Total Sway}}} \right)$$

Equation 22: Head Coronal Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Coronal Sway}}} = 0.49 + \left( {1.17 \times {\text{CoP Coronal Sway}}} \right) + \left( {0.10 \times {\text{CoP Sagittal Sway}}} \right)$$

Equation 23: Head Coronal Sway Regression Model for Spine Patients (N = 423)

$$\widehat{{\text{Head Coronal Sway}}} = 0.50 + \left( {1.17 \times {\text{CoP Coronal Sway}}} \right) + \left( {0.10 \times {\text{CoP Sagittal Sway}}} \right)$$

Equation 24: Head Coronal Sway Regression Model for Controls (N = 50)

$$\widehat{{\text{Head Coronal Sway}}} = 0.58 + \left( {1.29 \times {\text{CoP Coronal Sway}}} \right) + \left( {0.02 \times {\text{CoP Sagittal Sway}}} \right)$$

Equation 25: Head Coronal Sway Regression Model for Spine Patients and Controls (N = 473)

$$\widehat{{\text{Head Coronal Sway}}} = 0.74 + \left( {1.23 \times {\text{CoP Coronal Sway}}} \right)$$

Equation 26: Head Coronal Sway Regression Model for Spine Patients (N = 423)

$$\widehat{{\text{Head Coronal Sway}}} = 0.76 + \left( {1.23 \times {\text{CoP Coronal Sway}}} \right)$$

Equation 27: Head Coronal Sway Regression Model for Controls (N = 50)

CoP: Center of pressure.

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Haddas, R., Wood, A., Lieberman, I. et al. Assessing the cone of economy in patients with spinal disease using only a force plate: an observational retrospective cohort study. Eur Spine J 30, 2504–2513 (2021). https://doi.org/10.1007/s00586-021-06836-x

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