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dc.contributor.authorParakkal Unni, M
dc.date.accessioned2022-02-07T12:11:35Z
dc.date.issued2022-02-07
dc.date.updated2022-02-05T11:10:36Z
dc.description.abstractFreezing is an involuntary stopping of gait observed in late-stage Parkinson’s disease (PD) patients. It is a highly debilitating symptom lacking a clear understanding of its causes and is challenging to predict. This thesis addresses (1) machine-learning-based prediction of freezing for better management of the disease and (2) neuromechanical modelling to explain the underpinnings of the symptom. A data-driven approach is proposed in chapter 4 for predicting freezing events using a machine learning approach, specifically Random Forrest (RF), Neural Network (NN), and Naive Bayes (NB). Data sampled using a force platform were used for this purpose. This data was collected from PD subjects as they stepped in place until they had at least one freezing episode. The F1 scores of the machine learning algorithms were computed for different windowing parameters. These parameters represent the input data length (IL) and how early the freezing event is predicted (GL). The IL that maximised the F1 score is approximately equal to 1.13 s, indicating the physiological changes leading to a freeze take effect at least one step before the freezing incident. The prediction deteriorated as one tried to predict it early, evidenced by a negative correlation between GL and F1 scores. Our algorithm has the potential to support the development of devices to detect and then potentially prevent freezing events in people with Parkinson’s, which might occur if left uncorrected. As the second contribution, mathematical models of PD-Gait are developed with varying complexity and generality to explain the observed gait characteristics of PD. The first mathematical model described in chapter 5 consists of the stance leg modelled as a simple inverted pendulum acted upon by the ankle-push off forces from the trailing leg and pathological forces by the plantar-flexors of the stance leg. Freezing and irregular walking are demonstrated in a biped model as well as the inverted pendulum model. The inverted pendulum model is further studied semi-analytically to show the presence of horseshoe and chaos to explain the cause of variability in PD-Gait. The model reveals that these opposing forces generated by the plantar flexors can induce freezing and variability. The model also explains gait abnormalities such as reduction in step length close to a freeze and irregular walking patterns. However, the model proposed in chapter 5 does not explicitly address the effect of central pattern generators (CPG), feedback from the limbs, and the transition to walking from FoG observed in PD-Gait. Therefore, a generalisation of the model is developed in chapter 6 by coupling the hybrid mechanical model with a model of CPG and event dependent feedback. The model demonstrates gait characteristics relevant to PD, such as freezing, high variability and stable gait. The model’s ability to capture the PD-related characteristics across a wide parameter range showed its robustness. Moreover, the effect of augmented feedback on the model is studied to understand different FoG management methods, such as sensory and auditory cues. While this model explains variability, freezing, the effect of feedback, and transitions from freezing to walking, there is further scope to generalise this model, considering that phase coordination is affected in PD-Gait. This generalisation requirement is addressed in chapter 7. Here, a set of maps are derived, combining both the neural and mechanical aspects of the PD-Gait. Phase reset curves (PRC) that correspond to the oscillators are used to abstract the neuronal dynamics, and a simple inverted pendulum model is used to describe the motion. Gait variability, freezing, the effect of PPN stimulation in PD-Gait are explained using this model. The model is also extensible to be used with different PRCs. To summarise, the thesis has potential implications in FoG management using sensory cues, and it takes a step forward in explaining the underpinnings of PD-Gait characteristics such as freezing and variability.en_GB
dc.identifier.urihttp://hdl.handle.net/10871/128728
dc.identifierORCID: 0000-0002-2913-8869 (Parakkal Unni, Midhun)
dc.publisherUniversity of Exeteren_GB
dc.rights.embargoreasonPlanning to publish journal articles based on the content of the thesis.en_GB
dc.titleMathematical modelling and Data Analysis for Parkinson’s Disease Gaiten_GB
dc.typeThesis or dissertationen_GB
dc.date.available2022-02-07T12:11:35Z
dc.contributor.advisorPrathyush, Purushothama
dc.contributor.advisorWilson, Mark
dc.contributor.advisorLivi, Lorenzo
dc.publisher.departmentMathematics
dc.rights.urihttp://www.rioxx.net/licenses/all-rights-reserveden_GB
dc.type.degreetitlePhD in Mathematics
dc.type.qualificationlevelDoctoral
dc.type.qualificationnameDoctoral Thesis
rioxxterms.versionNAen_GB
rioxxterms.licenseref.startdate2022-02-07
rioxxterms.typeThesisen_GB
refterms.dateFOA2022-02-07T12:11:45Z


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