Submitted:
20 August 2025
Posted:
22 August 2025
You are already at the latest version
Abstract
Keywords:
1. Introduction
| Grade | Description |
|---|---|
| 0 | No increase in muscle tone |
| 1 | Slight increase in muscle tone, minimal resistance at end of range of motion (ROM) |
| 1+ | Slight increase in muscle tone, catch followed by minimal resistance through less than half of ROM |
| 2 | More marked increase in muscle tone through most of ROM, but affected part easily moved |
| 3 | Considerable increase in muscle tone, passive movement difficult |
| 4 | Affected part rigid in flexion or extension |
| Velocity of Movement | Quality of Muscle Reaction (Grade) | Description | Angle of Catch (R1) / PROM (R2) |
|---|---|---|---|
| V1: Slow (as slow as possible) | N/A (or “No spastic reaction expected”) | Baseline measurement of passive range of motion (PROM) under minimal stretch reflex activation. | R2 (Angle of full PROM) is recorded. No R1 (catch) is expected. |
| V2: Medium (limb falling under gravity) | A grade (0-4) is assigned based on the observed muscle response. | Assesses muscle response to stretch at a moderate speed. A catch (R1) indicates spasticity. | R1 (Angle of catch) is recorded if present. |
| V3: Fast (as fast as possible) | A grade (0-4) is assigned based on the observed muscle response. | Assesses muscle response to stretch at a fast speed. Elicits velocity-dependent spasticity (catch/clonus). | R1 (Angle of catch or clonus) is recorded if present. |
Section 1: Overview of Spasticity Modeling Approaches
1.1. Mechanical, Neurological, and Threshold Control Modeling
Section 2: Neuromusculoskeletal Modeling in Spasticity
2.1. Dynamic Neuromuscular Models
2.2. Physics-Based Simulations
Joint Stiffness
Joint Damping
Quasi-Stiffness and Damping
2.3. Clinical Applications
Section 3: Comparing and Evaluating Models
3.1. Metrics for Evaluation
3.2. Integration of Neural and Biomechanical Components
3.3. Limitations and Validation Challenges
Section 4: Gaps and Future Directions
4.1. Personalized Modeling
4.2. Bridging Research and Clinical Practice
4.3. Emerging Technologies
4.4. Validation and Standardization Efforts
4.5. Key Clinical Takeaways
Conclusions
Author Contributions
Funding
Conflicts of Interest
Abbreviations
| NMS | Neuromusculoskeletal |
| MAS | Modified Ashworth Scale |
| TSRT | Tonic Stretch Reflex Threshold |
| DSRT | Dynamic Stretch Reflex Threshold |
| EMG | Electromyography |
| IMU | Inertial Measurement Unit |
| MRI | Magnetic Resonance Imaging |
| DTI | Diffusion Tensor Imaging |
| AI | Artificial Intelligence |
| AR | Augmented Reality |
| VR | Virtual Reality |
| CP | Cerebral Palsy |
| SCI | Spinal Cord Injury |
| MS | Multiple Sclerosis |
References
- S. Li, G. E. Francisco, and W. Z. Rymer, “A new definition of poststroke spasticity and the interference of spasticity with motor recovery from acute to chronic stages,” Neurorehabil. Neural Repair, vol. 35, no. 7, pp. 601–610, 2021. [CrossRef]
- A. Stampas et al., “Evidence of treating spasticity before it develops: a systematic review of spasticity outcomes in acute spinal cord injury interventional trials,” Ther. Adv. Neurol. Disord., vol. 15, p. 17562864211070656, 2022.
- D. Dressler et al., “Consensus guidelines for botulinum toxin therapy: general algorithms and dosing tables for dystonia and spasticity,” J. Neural Transm., vol. 128, no. 3, pp. 321–335, 2021.
- J. Wissel, L. D. Schelosky, J. Scott, W. Christe, J. H. Faiss, and J. Mueller, “Early development of spasticity following stroke: a prospective, observational trial,” J. Neurol., vol. 257, no. 7, pp. 1067–1072, 2010.
- M. A. Rizzo, O. C. Hadjimichael, J. Preiningerova, and T. L. Vollmer, “Prevalence and treatment of spasticity reported by multiple sclerosis patients,” Mult. Scler. J., vol. 10, no. 5, pp. 589–595, 2004. [CrossRef]
- M. M. Adams and A. L. Hicks, “Spasticity after spinal cord injury,” Spinal Cord, vol. 43, no. 10, pp. 577–586, 2005.
- S. L. Delp et al., “OpenSim: open-source software to create and analyze dynamic simulations of movement.,” IEEE Trans. Biomed. Eng., vol. 54, no. 11, pp. 1940–1950, Nov. 2007.
- A. Seth et al., “OpenSim: Simulating musculoskeletal dynamics and neuromuscular control to study human and animal movement,” PLoS Comput. Biol., vol. 14, no. 7, p. e1006223, Jul. 2018.
- M. Damsgaard Rasmussen, J., Christensen, S. T., Surma, E., & de Zee, M., “Analysis of musculoskeletal systems in the AnyBody Modeling System,” Simul. Model. Pract. Theory, vol. 14, no. 8, pp. 1100–1111, 2006.
- C. L. Dembia, N. A. Bianco, A. Falisse, J. L. Hicks, and S. L. Delp, “Opensim moco: Musculoskeletal optimal control,” PLOS Comput. Biol., vol. 16, no. 12, p. e1008493, 2020.
- T. Geijtenbeek, “Scone: Open source software for predictive simulation of biological motion,” J. Open Source Softw., vol. 4, no. 38, p. 1421, 2019. [CrossRef]
- C. Pizzolato et al., “CEINMS: A toolbox to investigate the influence of different neural control solutions on the prediction of muscle excitation and joint moments during dynamic motor tasks,” J. Biomech., vol. 48, no. 14, pp. 3929–3936, 2015.
- M. Sartori et al., “Ceinms-rt: An open-source framework for the continuous neuro-mechanical model-based control of wearable robots,” 2025.
- J. He, W. S. Levine, G. E. Loeb, B. J. He, W. S. Levine, and G. E. Loeb, “Feedback gains for correcting small perturbations to standing posture,” IEEE Trans. Automat. Contr., vol. 36, no. 3, pp. 322–332, 1991.
- J. W. Fee and R. A. Foulds, “Neuromuscular modeling of spasticity in cerebral palsy,” IEEE Trans. neural Syst. Rehabil. Eng., vol. 12, no. 1, pp. 55–64, 2004.
- L. Alibiglou, W. Z. Rymer, R. L. Harvey, and M. M. Mirbagheri, “The relation between Ashworth scores and neuromechanical measurements of spasticity following stroke,” J. Neuroeng. Rehabil., vol. 5, pp. 1–14, 2008. [CrossRef]
- W. S. Ang, H. Geyer, I.-M. Chen, and W. T. Ang, “Objective assessment of spasticity with a method based on a human upper limb model,” IEEE Trans. Neural Syst. Rehabil. Eng., vol. 26, no. 7, pp. 1414–1423, 2018.
- P. Le Cavorzin et al., “A computed model of the pendulum test of the leg for routine assessment of spasticity in man,” Itbm-Rbm, vol. 22, no. 3, pp. 170–177, 2001. [CrossRef]
- J. He, W. R. Norling, and Y. Wang, “A dynamic neuromuscular model for describing the pendulum test of spasticity,” IEEE Trans. Biomed. Eng., vol. 44, no. 3, pp. 175–184, 1997.
- Y. Cha and A. Arami, “Quantitative modeling of spasticity for clinical assessment, treatment and rehabilitation,” Sensors, vol. 20, no. 18, p. 5046, 2020.
- T. K. K. Koo and A. F. T. Mak, “Feasibility of using EMG driven neuromusculoskeletal model for prediction of dynamic movement of the elbow,” J. Electromyogr. Kinesiol., vol. 15, pp. 12–26, 2005.
- E. De Vlugt, J. H. De Groot, K. E. Schenkeveld, Jh. Arendzen, F. C. T. van Der Helm, and C. G. M. Meskers, “The relation between neuromechanical parameters and Ashworth score in stroke patients,” J. Neuroeng. Rehabil., vol. 7, no. 1, p. 35, 2010.
- A. Falisse et al., “Physics-based simulations to predict the differential effects of motor control and musculoskeletal deficits on gait dysfunction in cerebral palsy: a retrospective case study,” Front. Hum. Neurosci., vol. 14, p. 40, 2020. [CrossRef]
- M. F. Levin and A. G. Feldman, “The role of stretch reflex threshold regulation in normal and impaired motor control,” Brain Res., vol. 657, no. 1–2, pp. 23–30, 1994. [CrossRef]
- A. Calota, A. G. Feldman, and M. F. Levin, “Spasticity measurement based on tonic stretch reflex threshold in stroke using a portable device,” Clin. Neurophysiol., vol. 119, no. 10, pp. 2329–2337, 2008.
- L. Bar-On et al., “A clinical measurement to quantify spasticity in children with cerebral palsy by integration of multidimensional signals,” Gait Posture, vol. 38, no. 1, pp. 141–147, 2013.
- A. K. Blanchette, A. A. Mullick, K. Mo\”\in-Darbari, and M. F. Levin, “Tonic stretch reflex threshold as a measure of ankle plantar-flexor spasticity after stroke,” Phys. Ther., vol. 96, no. 5, pp. 687–695, 2016.
- M. Germanotta et al., “Spasticity measurement based on tonic stretch reflex threshold in children with cerebral palsy using the PediAnklebot,” Front. Hum. Neurosci., vol. 11, p. 277, 2017.
- N. A. Turpin, A. G. Feldman, and M. F. Levin, “Stretch-reflex threshold modulation during active elbow movements in post-stroke survivors with spasticity,” Clin. Neurophysiol., vol. 128, no. 10, pp. 1891–1897, 2017. [CrossRef]
- D. G. Kamper, B. D. Schmit, and W. Z. Rymer, “Effect of muscle biomechanics on the quantification of spasticity,” Ann. Biomed. Eng., vol. 29, pp. 1122–1134, 2001.
- B. J. Fregly, “A Conceptual Blueprint for Making Neuromusculoskeletal Models Clinically Useful,” Appl. Sci., vol. 11, no. 5, p. 2037, 2021. [CrossRef]
- M. S. Shourijeh, N. Mehrabi, J. McPhee, and B. J. Fregly, “Advances in Musculoskeletal Modeling and their Application to Neurorehabilitation,” Front. Neurorobot., vol. 14, p. 65, 2020.
- C. V Hammond et al., “The Neuromusculoskeletal Modeling Pipeline: MATLAB-based model personalization and treatment optimization functionality for OpenSim,” J. Neuroeng. Rehabil., vol. 22, no. 1, pp. 1–28, 2025. [CrossRef]
- M. M. van der Krogt, L. Bar-On, T. Kindt, K. Desloovere, and J. Harlaar, “Neuro-musculoskeletal simulation of instrumented contracture and spasticity assessment in children with cerebral palsy,” J. Neuroeng. Rehabil., vol. 13, no. 1, p. 64, 2016.
- A. Falisse, L. Bar-On, K. Desloovere, I. Jonkers, and F. De Groote, “A spasticity model based on feedback from muscle force explains muscle activity during passive stretches and gait in children with cerebral palsy,” PLoS One, vol. 13, no. 12, p. e0208811, 2018. [CrossRef]
- K. P. Blum, B. Lamotte D’Incamps, D. Zytnicki, and L. H. Ting, “Force encoding in muscle spindles during stretch of passive muscle,” PLoS Comput. Biol., vol. 13, no. 9, p. e1005767, 2017.
- M. S. Shourijeh and J. McPhee, “Forward Dynamic Optimization of Human Gait Simulations: A Global Parameterization Approach,” ASME J. Comput. Nonlinear Dyn., vol. 9, no. 3, p. 31018, 2014.
- A. J. Meyer and B. J. Fregly, “Muscle Synergies Facilitate Prediction of Subject-specific Walking Motions,” 2016.
- M. M. Vega et al., “Computational evaluation of psoas muscle influence on walking function following internal hemipelvectomy with reconstruction,” Front. Bioeng. Biotechnol., no. September, 2022.
- M. S. Shourijeh and B. J. Fregly, “Muscle Synergies Modify Optimization Estimates of Joint Stiffness During Walking,” J. Biomech. Eng., vol. 142, no. 1, 2020.
- M. F. Levin, D. Piscitelli, and J. Khayat, “Tonic stretch reflex threshold as a measure of disordered motor control and spasticity--A critical review,” Clin. Neurophysiol., vol. 165, pp. 138–150, 2024.
- D. Piscitelli, J. Khayat, A. G. Feldman, and M. F. Levin, “Clinical Relevance of the Tonic Stretch Reflex Threshold and $μ$ as Measures of Upper Limb Spasticity and Motor Impairment After Stroke,” Neurorehabil. Neural Repair, vol. 39, no. 5, pp. 386–399, 2025.
- L. Barber, R. Barrett, and G. Lichtwark, “Passive muscle mechanical properties of the medial gastrocnemius in young adults with spastic cerebral palsy,” J. Biomech., vol. 44, no. 13, pp. 2496–2500, 2011.
- L. Lacourpaille, A. Nordez, F. Hug, A. Couturier, C. Dibie, and G. Guilhem, “Time-course effect of exercise-induced muscle damage on localized muscle mechanical properties assessed using elastography,” Acta Physiol., vol. 211, no. 1, pp. 135–146, 2014.
- R. Wang, J. Gäverth, and P. A. Herman, “Changes in the neural and non-neural related properties of the spastic wrist flexors after treatment with botulinum toxin A in post-stroke subjects: an optimization study,” Front. Bioeng. Biotechnol., vol. 6, p. 73, 2018. [CrossRef]
- P. K. Artemiadis and K. J. Kyriakopoulos, “EMG-based control of a robot arm using low-dimensional embeddings,” IEEE Trans. Robot., vol. 26, no. 2, pp. 393–398, 2010.
- G. Durandau, W. F. Rampeltshammer, H. van der Kooij, and M. Sartori, “Neuromechanical model-based adaptive control of bilateral ankle exoskeletons: Biological joint torque and electromyogram reduction across walking conditions,” IEEE Trans. Robot., vol. 38, no. 3, pp. 1380–1394, 2022.
- J. W. Lance, “The control of muscle tone, reflexes, and movement: Robert Wartenbeg Lecture,” Neurology, vol. 30, no. 12, p. 1303, 1980.
- A. L. Shorter, J. K. Richardson, S. B. Finucane, V. Joshi, K. Gordon, and E. J. Rouse, “Characterization and clinical implications of ankle impedance during walking in chronic stroke,” Sci. Rep., vol. 11, no. 1, p. 16726, 2021. [CrossRef]
- N. J. O’dwyer, L. Ada, and P. D. Neilson, “Spasticity and muscle contracture following stroke,” Brain, vol. 119, no. 5, pp. 1737–1749, 1996.
- T. Sinkjær and I. Magnussen, “Passive, intrinsic and reflex-mediated stiffness in the ankle extensors of hemiparetic patients,” Brain, vol. 117, no. 2, pp. 355–363, 1994.
- T. D. Sanger, M. R. Delgado, D. Gaebler-Spira, M. Hallett, J. W. Mink, and T. F. on Childhood Motor Disorders, “Classification and definition of disorders causing hypertonia in childhood,” Pediatrics, vol. 111, no. 1, pp. e89--e97, 2003.
- L. Bar-On, E. Aertbeliën, G. Molenaers, and K. Desloovere, “Muscle activation patterns when passively stretching spastic lower limb muscles of children with cerebral palsy,” PLoS One, vol. 9, no. 3, p. e91759, 2014. [CrossRef]
- P. Steinbok, “Selective dorsal rhizotomy for spastic cerebral palsy: a review,” Child’s Nerv. Syst., vol. 23, no. 9, pp. 981–990, 2007.
- A. Esquenazi et al., “Patient registry of outcomes in spasticity care,” Am. J. Phys. Med. Rehabil., vol. 91, no. 9, pp. 729–746, 2012.
- G. E. Francisco and J. R. McGuire, “Poststroke spasticity management,” Stroke, vol. 43, no. 11, pp. 3132–3136, 2012. [CrossRef]
- J. Wissel et al., “European consensus table on the use of botulinum toxin type A in adult spasticity.,” 2009.
- T. Maulet, S. Pouplin, D. Bensmail, R. Zory, N. Roche, and C. Bonnyaud, “Self-rehabilitation combined with botulinum toxin to improve arm function in people with chronic stroke. A randomized controlled trial,” Ann. Phys. Rehabil. Med., vol. 64, no. 4, p. 101450, 2021.
- T. Hara, R. Momosaki, M. Niimi, N. Yamada, H. Hara, and M. Abo, “Botulinum toxin therapy combined with rehabilitation for stroke: a systematic review of effect on motor function,” Toxins (Basel)., vol. 11, no. 12, p. 707, 2019. [CrossRef]
- P. B. Mills, H. Finlayson, M. Sudol, and R. O’Connor, “Systematic review of adjunct therapies to improve outcomes following botulinum toxin injection for treatment of limb spasticity,” Clin. Rehabil., vol. 30, no. 6, pp. 537–548, 2016.
- N. A. Lannin et al., “Effect of additional rehabilitation after botulinum toxin-A on upper limb activity in chronic stroke,” Stroke, 2020. [CrossRef]
- J.-H. Shin, G. Park, H. Kim, D. Y. Cho, and S. Kwon, “Combined effects and timing of robotic training and botulinum toxin on upper limb spasticity and motor function: a single-blinded randomized controlled pilot study,” J. Neuroeng. Rehabil., vol. 22, no. 1, p. 50, 2025.
| Model Type | Key Features | Strengths | Limitations | Clinical Applicability | Example Applications |
|---|---|---|---|---|---|
| Mechanical | Spring-damper analogs, passive tissue modeling | Simple to implement; effective for capturing passive stiffness | Does not model neural dynamics; limited to low-velocity tasks | Passive assessments, e.g., pendulum tests | Pendulum tests for elbow stiffness |
| Neurological | Reflex pathways, neural gain, feedback delays | Simulates neural contributions; useful for studying reflexes | Lacks biomechanical realism; often population-averaged parameters | Understanding reflex hyperexcitability | Identifying reflex triggers in stroke |
| Threshold Control | TSRT/DSRT reflex thresholds based on joint angle/velocity | Quantifies reflex triggers; applicable during passive movements | Requires biomechanical integration for task-level simulation | Botulinum toxin targeting; spasticity quantification | Optimizing injection sites in CP |
| Hybrid | Combines neural and mechanical elements | Simulates reflex-mechanical interactions | Often low-dimensional; not fully personalized | Simulated resistance during clinical tasks | Modeling elbow catch in stroke |
| Personalized NMS | Patient-specific anatomy, EMG, multiscale modeling | High anatomical fidelity; predicts functional outcomes | Computationally intensive; requires technical expertise | Diagnosis, treatment planning, outcome prediction | Gait optimization in CP |
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