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| 1 | Chapter Introduction: convergence and divergence of opinions on spinal control Paul W. Hodges*, Jaap H. van Dieën† and Jacek Cholewicki‡ *NHMRC Centre of Clinical Research Excellence in Spinal Pain, Injury and Health, School of Health and Rehabilitation Sciences, University of Queensland, Brisbane, Queensland, Australia, †MOVE Research Institute Amsterdam, Faculty of Human Movement Sciences, VU University Amsterdam, Amsterdam, The Netherlands and ‡Department of Osteopathic Surgical Specialties, College of Osteopathic Medicine, Michigan State University, East Lansing, Michigan, USA Low back and pelvic pain is a major issue facing the CHAPTER CONTENTS modern world. The economic burden of musculoskeletal Models of spine control and experimental pain is second only to cardiovascular disease (Australian approaches 2 Bureau of Statistics 2001) and of that burden, spinal com- Motor control 2 plaints contribute the greatest percentage due to long-term disability. Low back pain (LBP) is the most common Proprioceptive systems 3 chronic pain in Australia (Blyth et al. 2001), and the most Spinal control as a basis for design of common work-related condition in Western society. Recur- clinical treatments for low back and rence and persistence of symptoms are major issues in LBP pelvic pain 3 and are associated with the majority of its health care and Convergence and divergence of opinions social costs. Persistent LBP is increasing and its prevalence in ‘spine control’ 3 has doubled in the last 14 years (Freburger et al. 2009). References 4 Although clinical guidelines promote the view that acute LBP has a favourable prognosis with most people recov- It is well defended and accepted that control of the spine ered in 6 weeks (Koes et al. 2001), systematic reviews of and pelvis depends on the contribution of active, passive prospective trials suggest that 73% of people experience at and control systems (Panjabi 1992). In this interpretation least one recurrence in 12 months of an acute episode, and of spine physiology, ideal control relies on the appropri- pain and disability have only recovered by 58% at one ate passive support, supplemented with muscle forces month (Pengel et al. 2003). Further recovery is slow that are coordinated by the nervous system. Conversely, (Pengel et al. 2003; Henschke et al. 2009). Identification changes in any of these systems can lead to less than of modifiable factors associated with LBP is a key objective optimal control and this has formed the basis of a range in the international research agenda. However, reviews of of rehabilitation strategies that aim to restore control and risk factors provide less than encouraging results (Linton reduce pain and disability or the potential for further 2000; Pincus et al. 2002). Even factors that have been pain or injury. Although the theoretical underpinning is purported to have the strongest relationship to outcome, relatively straightforward, there is variable evidence for such as psychosocial aspects of distress (Pincus et al. the many assumptions that underlie the understanding of 2002) and job satisfaction (Linton 2000), can only account ‘spine control’ and the way in which it may be modified for a small proportion of the variability (Linton 2000; with pain and/or injury or the manner in which aspects Young Casey et al. 2008). There is no evidence for an of spine control may be a precursor to development of association between biological factors such as trunk pain and/or injury. An area of considerable variation in muscle strength or endurance, or range of motion and LBP opinion is how this model can be applied to clinical outcome (Hamberg-van Reenen et al. 2007). However, in practice for the treatment of people with low back and clinical practice and many fields of research, it has been pelvic pain. proposed that ‘spine control’ is related to low back and 1 Spinal Control: The rehabilitation of back pain pelvic pain and investigation of this promising notion is models and consideration of systems engineering aimed worthy of a concerted research effort. at understanding the mechanisms by which the spine is There are considerable promising data of changes in controlled to meet the demands of everyday activities. A spine control as a potential candidate factor underpinning key issue is that different models rely on different assump- the development and persistence of low back and pelvic tions and lead to different conclusions about the optimal pain from cross-sectional studies (Hodges and Richardson mechanisms for spine control and about the consequences 1996; MacDonald et al. 2009) and some longitudinal of changes in control for the health of the system and, studies (Cholewicki et al. 2005). Positive outcomes from therefore, lead to different extrapolations from science to clinical trials, that have been summarized and subjected clinical practice. The first part of this book (Chapters 2–4) to meta-analyses in a number of systematic reviews (Fer- takes a look at the state-of-the-art research in terms of reira et al. 2006; Macedo et al. 2009), provide additional modelling and novel experimental approaches that aim to strength to the argument that consideration of ‘spine provide insight into the mechanisms for control of this control’ in the management of low back and pelvic pain complex system. is worthwhile and promising. The counter argument is that biological aspects are less important than psychosocial aspects of pain, and that MOTOR CONTROL compromised spine control may be present but neither sufficient nor necessary for the perpetuation of pain. Criti- cism of the biological model of pain has come from a Motor control is a term that can be used to refer to all number of sources. For instance, the lack of a one-to-one aspects of control of movement. This can extend from the relationship between indications of structural damage on motivation within the frontal and other regions of the diagnostic imaging and pain is commonly used as an argu- brain related to the decision to move, the sensory inputs ment against the importance of mechanical injury in its to the system that provide information of the body seg- origin. However, such argumentation could be used simi- ments’ current location and movement, the various levels larly to deny the relation between smoking and lung of the nervous system that integrate inputs and plan cancer; not every person with lung cancer is or was a outputs (from simple spinal cord mechanisms to complex smoker, nor does every smoker develop lung cancer. A supraspinal integration and decision making), the motor probabilistic model is more appropriate here and struc- output to the muscles (the effector organs of the system), tural abnormalities are strong risk factors for LBP. and down to the mechanical properties of the tissues Current evidence suggests we cannot reject the contribu- (including muscle mechanics and passive tissues that tion of biological issues to development and persistence influence joint mechanics) that influence the manner in of pain. The quality of ‘spine control’ which determines which motor commands to muscles relate to movement. the nature and magnitude of loading on spinal structures There are many views of how consideration of motor is likely to be a key factor in this equation. However, control can be applied to the issue of spine control, and within the consideration of spine control there are differ- how the nervous system meets the challenge to control the ent interpretations and opinions. There are differing opin- spine and pelvis when considered in the context of the ions regarding the most appropriate theoretical models to entire human body function. Drawing on the develop- understand the systems; this extends to biomechanical/ ments in modelling of spine biomechanics highlighted in engineering models, neurophysiological models of control Chapters 2–4, this view of spine control involves not only of motor output and sensory input, and clinical models control of the spine movement and position that is specific extrapolating from research and clinical practice to formu- to the demands of the task, but also the contribution of late effective treatments for back pain. This book aims to the spine to other physiological functions such as breath- provide a state-of-the-art review of the current understand- ing and maintaining whole body equilibrium, to name ing of these issues, the areas where opinions converge and but a few functions that the nervous system must consider diverge, and a road map for consideration of how to concurrently. resolve the critical questions in the field. Perhaps the most debated aspect of motor control, as it relates to spine control, is how and why motor control is altered in people with pain and injury. Fundamental ques- tions remain unresolved. Are there issues in motor control MODELS OF SPINE CONTROL AND that can predispose an individual to development of pain EXPERIMENTAL APPROACHES and/or injury? Does motor control adapt in response to pain and injury or is this a factor in the persistence and There are fundamental differences in how people define recurrence of pain? Which aspects of motor control are the and model spine control leading to different interpreta- most critical for low back and pelvic pain, if at all? Which tions of what is optimal. Although early models relied on aspects of motor control, if any, should be addressed in static methods, more recent approaches propose dynamic patients with low back and pelvic pain? Part 2 of this book 2 Introduction: convergence and divergence of opinions on spinal control Chapter | 1 | (Chapters 5–11) tackles these fundamental issues to perpetuates misunderstanding of the scope of some phe- provide a comprehensive view of the current state of nomena (e.g. Levin 2002; Lederman 2010). In some ways knowledge. it may be considered that the indirect debate and criticism within the field is its own worst enemy. We have reached a critical point in time at which it is necessary to consider where the divergence and conver- PROPRIOCEPTIVE SYSTEMS gence of opinions lie in order to move the field forward. Points of convergence require clarification and where Although sensation is a critical element of motor control, divergence remains, studies must be planned to test the there are issues related to sensory function that require relative merits of the different ideas. It is possible that one specific consideration. Deficits in proprioception have hypothesis is correct, that several are correct (but it been described for many conditions related to pain and depends on the individual patient as to which alternative injury in the musculoskeletal system. From deficits in the approach applies to them) or the research may lead to acuity to detect input (Lee et al. 2010), to changes in the generation of new hypotheses. organization of cortical areas associated with sensory func- A major aim of this book is to present the arguments tion (Flor et al. 1997). A glaring issue in the low back and and consider the areas for divergence and convergence in pelvic pain literature is why do some studies report differ- opinions. The state-of-the-art evidence on efficacy of exer- ences in sensory function between patients with low back cise interventions for low back and pelvic pain is outlined pain and healthy control subjects, whereas others do not? in Part 4 (Chapter 15), whereas the foundations for dif- This could be explained by many reasons: differences ferent clinical ideas is presented throughout Chapters between patient subgroups, differences between specific 2–14 with references to research and the justification for parameters of sensory function that have been studied, the extrapolations that have been made from basic science or other methodological issues (e.g. sample size and to clinical practice. reliability/validity of measures). Resolution of this issue and other issues (such as the question of which sources of sensory information are used in the control of the spine, CONVERGENCE AND DIVERGENCE and how this is used) requires deeper understanding of OF OPINIONS IN ‘SPINE CONTROL’ sensory function as it relates to the spine and pelvis. Any extrapolation from research to clinical practice necessitates an understanding of the state-of-the-art of this field. This The chapters that make up Part 5 (Chapters 16–20) forge discussion forms the basis of Part 3 (Chapters 12–14). new territory in the debate regarding spine control and its relevance for low back and pelvic pain. These chapters are prepared by collaboration between key players in each SPINAL CONTROL AS A BASIS FOR area of consideration in the book, and draw the line between the convergence and divergence of viewpoints. DESIGN OF CLINICAL TREATMENTS These five chapters help resolve some of the misunder- FOR LOW BACK AND PELVIC PAIN standing within the field and provide a unique insight into what is known, what is unknown and what are the priori- Perhaps the biggest point of apparent divergence of ties for the future. Key issues that are addressed include: opinion arises when the findings of research and the 1. Biomechanical modelling and engineering observations from clinical practice are translated into approaches provide considerable promise to clinical interventions for the management of low back and understand the relevance of spine control to low pelvic pain. Many clinical programs have been proposed. back and pelvic pain. But can this information be On the surface, these approaches have often been viewed used to understand the individual patient and design as divergent and the unique aspects of each are often treatment? Chapter 16 considers this and other areas emphasized to amplify points of difference. But how dif- of convergence and divergence of opinion in ferent are they really? Do they share a common founda- modelling of spinal control. tion with some specific distinctions based on different 2. Multiple groups are working on the challenge to interpretations of the literature and clinical observations? subgroup individuals with low back and pelvic pain Or are they diametrically opposed, mutually exclusive and for the targeting of interventions (Chapter 17). incapable of being amalgamated into a single broader Although this approach is logical, different approach? The debate has often been fuelled by presenta- approaches exist, it cannot a priori be assumed that tion of simplified/reductionist views of an approach to a subgrouping improves outcomes, and there are many single element (e.g. activation of deep abdominal muscles pitfalls and challenges for the development of in a lying position) rather than presentation of an entire clinical methods and the subsequent validation of concept, and work that misinterprets the literature and these approaches. 3 Spinal Control: The rehabilitation of back pain 3. Whether differences in motor control between clinical observations can be extrapolated to effective patients and healthy controls are a cause or clinical interventions. Chapter 20 makes a major consequence of low back and pelvic pain requires contribution by highlighting where the views consideration (Chapter 18). This is not a trivial converge and diverge and presents a road map for question to resolve as it requires complex how to progress knowledge in this sometimes- experimental methods, and the fact that changes in contentious issue. motor control could be either, neither or both cause Finally, Part 6 of the book (Chapter 21) highlights all that and consequence. has been gained from identification of the state-of-the-art 4. If and how sensory function is affected in low back of understanding across the field of spine control and pain and injury, if this is relevant for development or discusses ways that this has been applied to the design and persistence of symptoms, and how this could be implementation of treatment for people with low back addressed in low back and pelvic pain is far from and pelvic pain. The result is a multifaceted approach to resolved. This issue is debated in Chapter 19. optimization of motor control that considers individual 5. An issue of considerable discussion in the literature differences within a multi-dimensional framework that and a topic of surprising convergence of includes consideration of the bio-psycho-social model fundamental concepts – but also considerable of pain. divergence of opinions – is how experimental and REFERENCES Australian Bureau of Statistics, 2001. Henschke, N., Maher, C., Refshauge, K., keep hurting their back? Evidence of Musculoskeletal Conditions in Herbert, R.D., Cumming, R., Bleasel, ongoing back muscle dysfunction Australia: a snapshot. J. et al., 2009. Prognosis in patients during remission from recurrent Blyth, F.M., March, L.M., Brnabic, A.J., with recent onset low back pain in back pain. Pain 142, 183–188. Jorm, L.R., Williamson, M., Cousins, Australian primary care: inception Macedo, L.G., Maher, C.G., Latimer, J., M.J., 2001. Chronic pain in Australia: cohort study. BMJ 337, a171. McAuley, J.H., 2009. Motor control a prevalence study. 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P.W., 2009. Why do some patients 4 | 2 | Chapter Spine systems science: a primer on the systems approach N. Peter Reeves and Jacek Cholewicki Department of Osteopathic Surgical Specialties, College of Osteopathic Medicine, Michigan State University, East Lansing, Michigan, USA parts and how these interactions affect the behaviour of CHAPTER CONTENTS the system as a whole. For instance, predicting the behav- The rationale for the systems approach 7 iour of a new aeroplane design would be impossible by Spine (in)stability: an unstable term 8 designing the parts of the system in isolation and not considering how these individuals parts would interact What is stability? 8 with one another. How is stability achieved? 9 Starting in the twentieth century, it became apparent Performance 9 that society and modern technology was becoming Robustness 10 increasingly more complex, and as a result, a new approach was required to analyze and resolve problems. Out of Lessons from balancing a stick 10 necessity, the branch of science known as systems science Impairment in feedback control of the emerged. With a systems approach, it was now possible to spine 12 study complex systems in a way that not only included Controller-related impairment 12 their parts, but also how these parts interacted to affect the Plant-related impairment 13 behaviour of the entire system. Over time, the application The systems approach applied to LBP 14 of systems science spawned the field of systems medicine, and with this, expanded medicine beyond the realm of Final remarks 14 reductionism. Systems medicine is defined as the applica- References 14 tion of the systems approach to the prevention of, under- standing and modulation of, and recovery from developmental disorders and pathological processes in THE RATIONALE FOR human health (Clermont et al. 2009). It adopts principles of systems science to focus on uniquely human attributes, THE SYSTEMS APPROACH such as genetics, environment and behaviour (Federoff and Gostin 2009). Benefits of the systems approach The prevalent method for studying clinical conditions is include individualized, multi-dimensional treatment that based on a reductionist approach in which the problem is is both time- and space-sensitive, and which can explore broken down into smaller and smaller parts to isolate ele- synergistic effects (Ahn et al. 2006). ments of the condition. This type of approach is well Depending on the nature of the clinical condition, both suited for containable diseases such as local infection, but reductionist and systems approaches can be advantageous. less helpful when the problem is multi-factorial and more Which approach is better suited for studying low back dispersed. Reductionism becomes less helpful when the pain (LBP)? One of the landmark hypotheses in spine process of dividing a problem into its parts leads to a loss research is Panjabi’s proposed stability-based model of of important information necessary to solve the problem spine dysfunction leading to chronic pain (Panjabi, 1992a, (Ahn et al. 2006). The loss of information stems from the 1992b). As he stated, the behaviour of the spine system is omission of the interaction effect between these smaller affected by the interaction between various subsystems: 7 Part | 1 | Models of the spine the passive subsystem representing the spinal column, the active subsystem representing the spinal muscles, and the control subsystem representing the neural elements. He suggested that impairment in one or more subsystems can be accommodated by the other systems, but only up to a certain level. Inability to adequately compensate leads to chronic dysfunction and pain. This hypothesis has gained popularity and has led to a paradigm shift in LBP treat- A ment. Unfortunately, this hypothesis has not been rigor- ously tested. This is partly because the reductionist approach we currently employ cannot be used to test such a hypothesis. To do so requires a systems approach since the focus of the problem is not on isolated subsys- tems, but instead on the interactions between these subsystems. Although systems medicine uses the general principles of the systems approach to study clinical conditions, it B typically does not adopt mathematical systems theory, which represents the formal end of the approach. This Figure 2.1 (A) Unstable and (B) stable ball position. theory is useful in framing the problem and developing models to study general properties of systems such as stability, performance, robustness and goal-directedness. the concept of stability, and in the process have developed Model validity is always a concern with this type of more rigorous definitions (Reeves and Cholewicki 2003). approach. But if models can be developed that accurately Using concepts from systems science, we will describe reflect the spine system, significant insight can be gained. what stability is and how it is achieved. Moreover, given the interdisciplinary nature of systems science, this type of framework could help integrate data What is stability? from the spine research community thus leveraging our expertise and resources. Stability of a system, whether it is stationary or moving, is The goal of this chapter is to serve as a primer to tested by applying a small perturbation and observing the develop a common understanding regarding the systems new behaviour. If the new behaviour is approximately the approach. Given that all systems must be stable to fulfil same as the old, the system is stable. If the new behaviour their intended goal, the first part of the chapter will becomes indistinguishable from the old behaviour, the use systems theory to address the questions: what is sta- system is asymptotically stable. Finally, if the new behav- bility, and how is it achieved? Other characteristics of iour differs significantly from the old behaviour, the systems such as performance and robustness will also system is unstable. be described. Later in the chapter, we will use a stick- Using a ball on a hill as an example (Fig. 2.1a), there is balancing task to describe concepts of control, which no size of perturbation that can be applied that will keep will then be used to elucidate possible spine system the ball in the original undisturbed position; hence this impairments. Finally, we will present a possible roadmap, system is unstable. Whereas a ball in a valley (Fig. 2.1b), which can be used to integrate future spine research following a perturbation, will oscillate and settle in the efforts in the community. undisturbed position – assuming that there is some fric- tion in the system. This definition of stability is generic and applicable to SPINE (IN)STABILITY: any system. It is important to point out that stability is context dependent, which may explain some of the confu- AN UNSTABLE TERM sion when applying it in the context of the spine system (Reeves et al. 2007b). For instance, are we interested in As a community, we have the right to develop our own set mechanical stability of the spine, such as controlling the of definitions that we deem ‘useful’. However, if these defi- displacement of individual vertebrae following a perturba- nitions lead to confusion and unnecessary debate, or are tion, or are we interested in performing tasks without not stable with time, then the community may deem them injuring spinal tissue or experiencing pain? At this point, ‘not useful’. A case can be made that the term spine (in) it is much easier to address mechanical stability of the stability has not been enlightening, as illustrated by the spine, but the same framework could be applied to address lack of consensus about its definition (Nachemson 1985, injury and pain. For this chapter, we will primarily focus Reeves et al. 2007a). Other disciplines have struggled with on mechanical stability. 8 Spine systems science: a primer on the systems approach Chapter | 2 | State of Input Output Input the system Σ Σ Plant Plant Feedback control for each vertebra Feedback k controller Feedback A Spine system B Spine system control Figure 2.2 (A) Simple and (B) complex examples of feedback control of the spine. Reproduced from, Reeves, P.N., Narenda, K.S., Cholewicki, J., 2007b. Spine stability: the six blind men and the elephant. Clinical Biomechanics 22, 266–274, with permission from Elsevier. How is stability achieved? significantly more complex. Multiple feedback signals come from sensory receptors that convey information Given that the spine has similar characteristics to an about the state of the entire system (Fig. 2.2b). These inverted pendulum, it can be shown to be unstable; there- signals are processed by the feedback controller (CNS), fore some form of control must be applied to ensure that which in turn, generates many control signals to be it is behaving in a stable manner. The principal approach applied to the different segmental levels. Unlike the feed- for stabilizing any system is feedback control. With feed- back gain represented by k in the simple system, the con- back control, information concerning the output of the troller consists of a sophisticated network of neural system is fed back and used to modify the input (Fig. connections, which applies the logic for transferring 2.2a,b). Using systems terminology, the isolated system is sensory information into control input. called the plant, which represents the osteoligamentous There are a number of feedback pathways for the spine spine. The logic by which the control input is generated system: intrinsic properties of the joint and muscles, which from the output is the controller, which represents a feed- apply resistive forces to the spine instantaneously; reflexes, back controller. The plant (osteoligamentous spine) which apply their control input after short, medium and together with the controller (feedback control) is the long delays following a disturbance; and voluntary correc- overall system (spine system). A simple example of a feed- tions, which also take time to respond. It is important to back control spine system is shown in Figure 2.2a. note that delays in feedback control can destabilize the In Figure 2.2a, the control input to the plant is propor- system. The longer the delay the more problematical it is. tional to its output. This is indicated by the feedback gain This will be discussed in more detail later. denoted by k. Feedback can be positive or negative. If posi- tive, the system is unstable since the force applied to the Performance system is in the same direction as the displacement (i.e. ball on top of the hill). For stability, negative feedback is Once the stability of a system is established, the interest used so that the force is applied in the opposite direction shifts to its performance. Performance reflects how closely to the displacement (i.e. ball in the valley). Therefore, the and rapidly the disturbed position of the system tends to goal of feedback control for the inherently unstable spine the undisturbed position. Accuracy and speed are impor- is to give it stable behaviour. To do this, the controller’s tant attributes of any control system. Following a perturba- negative feedback must be larger than the positive feed- tion, a system performing well will have behaviour that back of the unstable spine. Stated differently, the overall resembles the undisturbed behaviour, indicating that the system (spine and feedback controller) must have negative error between a disturbed and undisturbed system is feedback. minimal. For asymptotically stable systems, a system per- Figure 2.2a shows the simplest form of feedback control forming well will also converge to the undisturbed posi- for the spine system. In reality, the spine system is tion in a short time interval. 9 Part | 1 | Models of the spine Robustness From a practical standpoint, the issue of spine stability is Velocity probably not a major concern. The overall spine system appears to be stable. What is more pertinent is the question, is the spine robust? For instance, is the spine sufficiently robust to recover from both small and large disturbances? Or is a person’s control of the spine robust enough to accommodate various types of impairment? Robustness reflects the level of tolerance a system has to disturbances or changes in the system properties. For example, some individuals may be less tolerant to degen- erative disc disease or whole body vibration than others. Lessons from balancing a stick There are many subtle nuances of control that can be explained with the example of balancing a stick in your hand (Reeves et al. 2011). Because the stick has inverted pendulum characteristics (like the spine), it is unstable and requires some form of feedback control to keep it upright. A B We can test stability of the upright stick by basically Figure 2.3 (A) Stick is positioned to the right of the hand doing nothing. If you keep your hand in the same posi- with zero velocity. (B) Stick is positioned to the right of the tion, the stick will eventually fall over. Therefore, to stabi- hand, but is moving to the left. Reproduced from Reeves, N.P., lize the stick, you need to move your hand in a controlled Cholewicki, J., 2010. Expanding our view of the spine system. fashion in order to keep the centre-of-pressure (COP) European Spine Journal 1, with kind permission of Springer Science acting on the hand under the centre-of-mass (COM) of the and Business Media. stick. Although it may not be obvious, how you move your hand is based on feedback control. As discussed earlier, feedback control uses information about the state of the system to apply control. For stick balancing, this means you must track the stick and use this feedback control. We use position-related feedback, information to determine where to move your hand. referred to as stiffness, and velocity-related feedback, Therefore, if you cannot track the stick, say for instance referred to as damping, to control and stabilize a system you close your eyes, than it becomes impossible to keep with mass. This is an important observation that has sig- the stick upright. Or stated in a more general sense, if we nificant ramifications for how we study the spine system. cannot track the state of the system, we cannot stabilize it. To demonstrate our limited view of the spine system, When we apply feedback control, there is a minimum we recently performed two PubMed searches using the amount of information that must be obtained to stabilize following terms: (i) ‘stiffness’ AND ‘spine’ AND ‘stability’ the system. For instance, it is obvious that we use our and (ii) ‘damping’ AND ‘spine’ AND ‘stability’. Searches visual system to track the position of the stick, but what (i) and (ii) yielded 234 and 5 hits respectively. If you is less obvious is the fact that we must also track the veloc- exchange ‘stability’ with ‘instability’ you will obtain similar ity of the stick. To demonstrate, we will present two stick- results. This exercise shows that we have an incomplete balancing scenarios (Fig. 2.3a,b). In the first scenario, the picture of the spine system. We need to expand our defini- stick is positioned to the right of the hand and is stationary tion of stability from the current static representation to (velocity = 0). In this situation, you would want to move include dynamics. This transition will be essential if we your hand to the right to bring the COM under the COP. plan to investigate control aspects of LBP (Reeves and In the second scenario, the stick is in the same position, Cholewicki 2010). but is moving to the left. It is unclear in this case which Another necessary condition for stability is controllabil- direction to move the hand and it depends on the velocity ity. Now let us consider the task of balancing two sticks, of the stick. If the stick is moving slowly, you would want one set in series (Fig. 2.4a) and another in parallel (Fig. to move your hand to the right. But if the stick is moving 2.4b). In these examples, all sticks are identical, having the really fast, to catch the stick would require moving your same mass and length. Which of these two conditions can hand to the left. This simple experiment shows that two be controlled? It is not obvious, but only the sticks in independent sets of data, referred to as states, are used for series can be controlled. Even though we cannot apply 10 Spine systems science: a primer on the systems approach Chapter | 2 | θ 2 θ θ1 θ2 1 A B Figure 2.4 (A) Inverted pendulums in series are controllable and hence can be stabilized. (B) Identical inverted pendulums in parallel are not controllable and cannot be stabilized. Reproduced from Reeves, N.P., Narenda, K.S., Cholewicki, J., 2011, Spine stability: lessons from balancing a stick. Clinical Biomechanics 26, 325–330, with permission from Elsevier. control directly to the top stick, by moving the hand, we independently changed. Consequently, if one stick is can change the states of the bottom stick, which in turn bumped or has a different starting position, there is no can change the states of the top stick. What is important possible way to bring both sticks to the upright position. is that movement of the hand will change the position and If, however, one stick is slightly longer than the other, it velocity of the bottom stick in a way that is different than now becomes possible to control both sticks. This is the upper stick. This means we have independent control because the sticks will have different natural frequencies, over the two sticks. Thus, we can use the system’s states to meaning they will tend to move at different speeds, which generate feedback control to bring both sticks upright, then allows for independent control over the states of the whereas the states of the two sticks in parallel cannot be system. One point to note: the closer in lengths the two 11 Part | 1 | Models of the spine sticks are, the faster and more forceful control must be to are limited to controlling slower moving systems. And as stabilize the system. Also in the case of the sticks in series, demonstrated with a fast moving stick, once the dynamics we would need fast and forceful control. Can a human of the plant are outside the bandwidth of the controller, balance two sticks? Most likely not. The dynamics of the the system will become unstable. plant (two sticks) are such that it may require more power than a human controller can apply. This is an issue of force saturation. Also, timing of control becomes an issue. The IMPAIRMENT IN FEEDBACK human controller may not be able to respond fast enough. CONTROL OF THE SPINE Next, we would like to spend some time discussing performance issues. Recall that how we move our hand to keep the stick upright is determined by the position and Using lessons from balancing a stick, we can now discuss velocity of the stick. This also implies that the force applied the issue of impairment in feedback control of the spine. to the stick through the hand will be proportional to the As shown in Figure 2.5, there are a number of sources for size and rate of stick movement. Consequently, any impairment. In terms of the controller, these include poor impairment in control that causes larger and faster stick proprioception, faulty control logic, longer delays and movement also requires more stabilizing force. This can decreased resolution in the regulation of muscle force. In be demonstrated by balancing the stick and focusing addition, degenerative changes to the osteoligamentous either at the top or near the bottom of the stick. You spine (plant) can also be considered as impairments in should notice that focusing higher on the stick makes it feedback control (Reeves et al. 2007a, 2007b). easier to balance. You should also notice that focusing lower on the stick results in larger and faster stick move- Controller-related impairment ments, which in turn, requires more effort to stabilize the stick. What is causing this impairment? It stems from dif- If we cannot track the spine precisely, the information ferences in visual resolution. For a given angular displace- used by the CNS will contain noise, which in turn means ment, more linear displacement occurs at higher focal control applied to the spine will not be precise. Do people points than lower focal points. Therefore, you are more with LBP have impaired proprioception? It is unclear from sensitive to displacement of the stick when you focus at a the literature. Some studies report impairment in trunk higher point on the stick. When you can track the stick proprioception with LBP (Field et al. 1997; Gill and more precisely, less noise enters the system, and the preci- Callaghan, 1998; Brumagne et al. 2000; Leinonen et al. sion of hand positioning improves, which in turn reduces 2002, 2003; O’Sullivan et al. 2003), while others find no effort to balance the stick. such impairment (Lam et al. 1999; Koumantakis et al. We will next discuss the issue of delays in feedback 2002; Descarreaux et al. 2005; Åsell et al. 2006; Silfies control. Using a weight attached with elastic bands to a et al. 2007). This could represent heterogeneity in study stick, you can balance the stick with the weight in different positions. Which is easier to balance, a stick with the weight at the top or near the bottom? You should find it harder to balance as the weight moves closer to the hand, Plant and in fact, balancing will become impossible at some critical height. As you move the weight closer to the hand, you should notice that the stick will have larger and faster Muscle force oscillations. With the mass near the bottom of the stick, the stick will tend to fall faster, reflecting a higher natural frequency of the system. Conversely, with the mass at the top of the stick, it will take longer to fall, reflecting a lower n natural frequency. ptio So what causes the stick to become unstable? Force satu- ce o ration may be a culprit. It is possible that the large and pri o fast movements of the stick require stabilizing forces that Pr are greater than your arm and shoulder muscles can gener- ate. But in this case, instability most likely stems from delays in feedback control. Because your controller has inherent delays, as the stick (plant) moves faster, the CNS Delay Control logic (controller) does not have enough time to register the states of the system, process this information and then send commands to move the hand. Controllers with Figure 2.5 Sources for impairment in feedback control of longer delays respond slower, which in turn means they the spine. 12

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