Browsing by Subject "Tremor"

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Mathematical Models of Basal Ganglia Dynamics
    (2013-07-12) Dovzhenok, Andrey A.; Rubchinsky, Leonid; Kuznetsov, Alexey; Its, Alexander R.; Worth, Robert; Mukhin, Evgeny
    Physical and biological phenomena that involve oscillations on multiple time scales attract attention of mathematicians because resulting equations include a small parameter that allows for decomposing a three- or higher-dimensional dynamical system into fast/slow subsystems of lower dimensionality and analyzing them independently using geometric singular perturbation theory and other techniques. However, in most life sciences applications observed dynamics is extremely complex, no small parameter exists and this approach fails. Nevertheless, it is still desirable to gain insight into behavior of these mathematical models using the only viable alternative – ad hoc computational analysis. Current dissertation is devoted to this latter approach. Neural networks in the region of the brain called basal ganglia (BG) are capable of producing rich activity patterns. For example, burst firing, i.e. a train of action potentials followed by a period of quiescence in neurons of the subthalamic nucleus (STN) in BG was shown to be related to involuntary shaking of limbs in Parkinson’s disease called tremor. The origin of tremor remains unknown; however, a few hypotheses of tremor-generation were proposed recently. The first project of this dissertation examines the BG-thalamo-cortical loop hypothesis for tremor generation by building physiologically-relevant mathematical model of tremor-related circuits with negative delayed feedback. The dynamics of the model is explored under variation of connection strength and delay parameters in the feedback loop using computational methods and data analysis techniques. The model is shown to qualitatively reproduce the transition from irregular physiological activity to pathological synchronous dynamics with varying parameters that are affected in Parkinson’s disease. Thus, the proposed model provides an explanation for the basal ganglia-thalamo-cortical loop mechanism of tremor generation. Besides tremor-related bursting activity BG structures in Parkinson’s disease also show increased synchronized activity in the beta-band (10-30Hz) that ultimately causes other parkinsonian symptoms like slowness of movement, rigidity etc. Suppression of excessively synchronous beta-band oscillatory activity is believed to suppress hypokinetic motor symptoms in Parkinson’s disease. Recently, a lot of interest has been devoted to desynchronizing delayed feedback deep brain stimulation (DBS). This type of synchrony control was shown to destabilize synchronized state in networks of simple model oscillators as well as in networks of coupled model neurons. However, the dynamics of the neural activity in Parkinson’s disease exhibits complex intermittent synchronous patterns, far from the idealized synchronized dynamics used to study the delayed feedback stimulation. The second project of this dissertation explores the action of delayed feedback stimulation on partially synchronous oscillatory dynamics, similar to what one observes experimentally in parkinsonian patients. We employ a computational model of the basal ganglia networks which reproduces the fine temporal structure of the synchronous dynamics observed experimentally. Modeling results suggest that delayed feedback DBS in Parkinson’s disease may boost rather than suppresses synchronization and is therefore unlikely to be clinically successful. Single neuron dynamics may also have important physiological meaning. For instance, bistability – coexistence of two stable solutions observed experimentally in many neurons is thought to be involved in some short-term memory tasks. Bistability that occurs at the depolarization block, i.e. a silent depolarized state a neuron enters with excessive excitatory input was proposed to play a role in improving robustness of oscillations in pacemaker-type neurons. The third project of this dissertation studies what parameters control bistability at the depolarization block in the three-dimensional conductance-based neuronal model by comparing the reduced dopaminergic neuron model to the Hodgkin-Huxley model of the squid giant axon. Bifurcation analysis and parameter variations revealed that bistability is mainly characterized by the inactivation of the Na+ current, while the activation characteristics of the Na+ and the delayed rectifier K+ currents do not account for the difference in bistability in the two models.
  • Thumbnail Image
    Item
    Tremor as a symptom of degenerative cervical myelopathy: a systematic review
    (Taylor & Francis, 2022) El Khoury, Marc; Mowforth, Oliver D.; El Khoury, Anthony; Partha-Sarathi, Celine; Hirayama, Yuri; Davies, Benjamin M.; Kotter, Mark R.; Medicine, School of Medicine
    Background: AO Spine RECODE-DCM (Research objectives and common data elements for degenerative cervical myelopathy) has highlighted that the subjective disability reported by people living with DCM is much broader than routinely considered today by most professionals. This includes a description of tremor. The objective of this review was to study the incidence and possible aetiology of tremor in degenerative cervical myelopathy (DCM). Methods: A systematic review registered in PROSPERO (CRD42020176905) was conducted in Embase and MEDLINE for papers studying tremor and DCM published on or before the 20th of July 2020. All manuscripts describing an association between tremor and DCM in humans were included. Articles relating to non-human animals, and those not available in English were excluded. An analysis was conducted in accordance with PRISMA and SWiM guidelines for systematic reviews. Results: Out of a total of 4402 screened abstracts, we identified 7 case reports and series describing tremor in 9 DCM patients. Papers were divided into three groups for the discussion. The first group includes DCM correctly identified on presentation, with tremor as a described symptom. The second group includes cases where DCM was misdiagnosed, often as Parkinson's disease. The third group includes a single case with a previous history of DCM, presenting with an otherwise unexplained tremor. This grouping allows for the clustering of cases supporting various arguments for the association between tremor and DCM. Conclusion: DCM can be associated with tremor. The current evidence is restricted to case series. Further study is warranted to establish tremor prevalence, and its significance to assessment and management.