Abstract

Abnormally strong synchronized activity is related to several neurological disorders, including essential tremor, epilepsy, and Parkinson's disease. Chronic high-frequency deep brain stimulation (HF DBS) is an established treatment for advanced Parkinson's disease. To reduce the delivered integral electrical current, novel theory-based stimulation techniques such as coordinated reset (CR) stimulation directly counteract the abnormal synchronous firing by delivering phase-shifted stimuli through multiple stimulation sites. In computational studies in neuronal networks with spike-timing-dependent plasticity (STDP), it was shown that CR stimulation down-regulates synaptic weights and drives the network into an attractor of a stable desynchronized state. This led to desynchronization effects that outlasted the stimulation. Corresponding long-lasting therapeutic effects were observed in preclinical and clinical studies. Computational studies suggest that long-lasting effects of CR stimulation depend on the adjustment of the stimulation frequency to the dominant synchronous rhythm. This may limit clinical applicability as different pathological rhythms may coexist. To increase the robustness of the long-lasting effects, we study randomized versions of CR stimulation in networks of leaky integrate-and-fire neurons with STDP. Randomization is obtained by adding random jitters to the stimulation times and by shuffling the sequence of stimulation site activations. We study the corresponding long-lasting effects using analytical calculations and computer simulations. We show that random jitters increase the robustness of long-lasting effects with respect to changes of the number of stimulation sites and the stimulation frequency. In contrast, shuffling does not increase parameter robustness of long-lasting effects. Studying the relation between acute, acute after-, and long-lasting effects of stimulation, we find that both acute after- and long-lasting effects are strongly determined by the stimulation-induced synaptic reshaping, whereas acute effects solely depend on the statistics of administered stimuli. We find that the stimulation duration is another important parameter, as effective stimulation only entails long-lasting effects after a sufficient stimulation duration. Our results show that long-lasting therapeutic effects of CR stimulation with random jitters are more robust than those of regular CR stimulation. This might reduce the parameter adjustment time in future clinical trials and make CR with random jitters more suitable for treating brain disorders with abnormal synchronization in multiple frequency bands.

Highlights

  • The human organism can be viewed as an integrated network where complex physiological systems continuously interact; whereby the regulatory mechanisms of one system may affect others or the organism as a whole (Bashan et al, 2012; Ivanov et al, 2016)

  • Considering the distributions of time lags that contribute to weight updates GAX(t), Equation (5), we find that stimulation protocols with random jitters, i.e., noisy CR pattern (NCR) and shuffled noisy CR pattern (SNCR), possess broad distributions spanning a wide range of possible time lags

  • A reduction of temporal correlations is achieved by adding random jitters to the deterministic stimulus delivery times of the original coordinated reset stimulation (CR) pattern

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Summary

INTRODUCTION

The human organism can be viewed as an integrated network where complex physiological systems continuously interact; whereby the regulatory mechanisms of one system may affect others or the organism as a whole (Bashan et al, 2012; Ivanov et al, 2016). Detailed computational studies on CR stimulation of plastic neuronal networks suggested that long-lasting desynchronization effects may be sensitive to the ratio of the stimulation frequency and the dominant frequency of the pathological synchronous rhythm, frhythm (Manos et al, 2018). This is because stimuli are delivered with fixed inter-stimulus intervals which may lead to unfavorable resonances with other time scales (Kromer and Tass, 2020). In order to increase the frequency robustness of longlasting effects, spatial and temporal randomization of stimulus deliveries was suggested (Kromer and Tass, 2020).

Neuronal Network Model
Spike-Timing Dependent Plasticity
Stimulation Patterns
Quantification of Synchronization
Data Evaluation
Estimated Weight Change During Strong and Fast Stimulation
CR and NCR Stimulation
NS fCR
SCR and SNCR Stimulation
RESULTS
Theoretical Predictions for Stimulation-Induced Weight Dynamics
Effect of Jitter on Long-Lasting Effects
Acute and Long-Lasting Effects of Weak Stimulation
Required Stimulation Duration for Long-Lasting Desynchronization
Long-Lasting Desynchronization Effects Depend on Stimulation Strength
DISCUSSION
DATA AVAILABILITY STATEMENT
Full Text
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