CHAPTER 265 Concepts and Mechanisms of Spinal Biomechanics
Basic Biomechanical Principles
Biomechanically Relevant Anatomy
The vertebral body (VB) is the main axial load–bearing structure of the spine. Its cylindric shape, bounded peripherally by cortical bone and rostrocaudally by end plates, confers it with superior biomechanical properties. The width and depth of VBs increase as one descends in the spine to accommodate increased axial load (Figs. 265-1 and 265-2). The relative weakness of the L5 vertebra can be explained by the asymmetry in height between the ventral and dorsal cortical walls.
FIGURE 265-2 Vertebral compression strength versus spinal level.
(From Benzel EC. Biomechanically relevant anatomy and material properties of the spine and associated elements. In: Benzel EC, ed. Biomechanics of Spine Stabilization. Rolling Meadows, IL: AANS Publications; and New York: Thieme; 2001:4. Reprinted by permission.)
The intervertebral disk serves as a shock absorber and is the primary stabilizing structure of the motion segment. It is composed of the nucleus pulposus (a hydrated core of proteoglycans suspended in a loose collagen network) located in the posterocentral area of the disk and the annulus fibrosus (a fibrocartilaginous ring designed to provide structural support). The loads that these structures must tolerate cyclically for decades is impressive. Compressive loads on the lumbar intervertebral disks are 1.0 to 2.5 times body weight during normal walking. During the lifting of 14- to 27-kg objects, axial compressive loads in the lumbar spine increase up to nearly 10 times body weight, with anteroposterior shear loads approaching double body weight.1,2 Concentric axial loads cause equally distributed forces within the disk, whereas eccentrically placed loads result in bulging of the annulus on the side of the applied force along with associated displacement of the nucleus to the opposite side (Fig. 265-3). Shearing and rotational forces are resisted by the annular fibers, which lie at a 30-degree angle with respect to each other. As the disk deteriorates, its isotropic load transfer properties are lost and load transfer becomes concentrated at the periphery (annular insertion) of the vertebral end plates.3,4
In conjunction with the intervertebral disk, the facet joints provide additional load-bearing and stabilizing functions between segmental levels. Their orientation (Fig. 265-4) serves to facilitate or limit degrees of motion (Fig. 265-5) and therefore plays an important role in spinal stability. The cervical facets are coronally oriented and resist translation while facilitating flexion, extension, and rotation. Conversely, the lumbar facets are sagittally oriented (with the exception of L5-S1) and resist rotation while allowing significant flexion and extension. The thoracic facets are intermediately oriented and thus provide an “intermediate” restriction of translation and rotation. Both extension and ventral translation tend to load facets, whereas flexion and dorsal translation unload them. Degeneration of the intervertebral disk, loss of disk height, and alterations in sagittal alignment result in greater load transfer to the facet joints.
The spinal ligaments provide passive stabilization of the vertebral column. Their bone-to-bone interface and elastic properties provide both tension band and translational support. The tension band contribution to spinal stability is related to both the ligament’s tensile strength (Fig. 265-6) and the moment arm through which it acts. As discussed later, the moment arm is the perpendicular distance from the instantaneous axis of rotation (IAR) to the applied force vector. The amount of resistance (counterbending moment) that a ligament provides is proportional to its distance from the IAR (Fig. 265-7).
As opposed to the skeletal muscles, which generate long bone motion and span one or two articulations, the paraspinous musculature (and associated abdominal musculature) spans multiple segments (Fig. 265-8). The primary function of the paraspinous musculature is to stabilize the spinal column rather than produce motion. An exception is the action of the erector spinae muscles when arising from a forward flexed position. In general, any imbalance in muscular forces causes movement about an axis. Conversely, a balancing of muscle and other intrinsic forces about an axis results in no net movement. The ventral abdominal musculature is critical in counterbalancing the erector spinae muscles to provide stability.
The rib cage, acting as a barrel attached to the spine, adds significant stability to the upper and middle thoracic segments. Both the costovertebral and costosternal joints are essential to this contribution (Fig. 265-9).
Basic Biomechanical Principles
Biomechanical analysis assesses the effects of energy and forces on biologic systems by using physics and physical principles that have well-accepted definitions. A reference for many of these definitions can be found in Table 265-1.5,6
Kinematics | Study of the motion of objects without considering the factors that cause or affect the motion. The latter is the subject of dynamics. |
Momentum | Product of mass and velocity |
Moment | Circular force creating a rotational vector around an axis |
Torque/bending moment | Product of the force applied to the lever arm multiplied by the perpendicular distance from the axis |
Coupling | When more than one non-collinear force acts about the same axis and the resultant force moment is the sum of the individual forces |
Stress | Force/load applied to an object divided by its cross-sectional area |
Strain | Change in length of an object secondary to a deforming force |
Stress/strain | Aids in defining an object’s intrinsic material properties |
Stiffness | Relationship of stress or force and strain or deformation |
Deformation | Change in shape or size secondary to stress and strain on an object from applied forces and moments. It is a structural property of a material that depends on the shape, size, and intrinsic material properties. |
Elastic deformation | Occurs when strain on a material is totally recovered once the stress is removed |
Plastic deformation | Occurs at the point where stress is no longer proportional to strain |
Yield point | Point at which elastic deformation becomes plastic deformation |
Ultimate tensile strength/breaking point | Point at which an object fails |
Strength | Maximum stress that a material can sustain—coincides with the area under the stress-strain curve to the point of its ultimate tensile strength |
Intrinsic material properties | Independent of an object’s shape and size—thus, its study requires that the effect of the object’s shape and size (geometry) be eliminated. |
Ductile | Materials with intrinsic properties that allow permanent deformation before failure |
Brittle | Materials with intrinsic properties that cause failure before permanent deformation |
Hooke’s law | The degree of elastic deformation of a solid object is proportional to the deforming force, and the elastic modulus is a measure of the deformability of a solid object. |
Isotropic objects | Intrinsic material properties independent of the direction of loading and with a randomly dispersed internal structure (metal, glass, plastic) |
Anisotropic objects | Intrinsic material properties dependent on the direction of loading and with an orderly internal structural arrangement (bone, intervertebral disks, ligaments/tendons) |