Table 2 Conceptual and practical comparison of linear, exponential and sigmoidal progression models in PD

From: Balancing practicality and complexity in neuroimaging models of Parkinson’s disease progression

Feature

Linear Model

Exponential Model

Sigmoidal Model

Assumed rate of change

Constant over time

Rapid early loss, then deceleration

Slow onset, acceleration, then plateau

Pathophysiological plausibility

Moderate: Oversimplifies complex processes

Good: Reflects probabilistic neuron loss

High: Consistent with prion-like alpha-synuclein spread

Simplicity and interpretability

High: Easy to communicate

Moderate

Moderate to low

Data requirements

Low: Few timepoints sufficient

Moderate: Multiple timepoints including early and late

High: Requires data across all disease stages

Applicability to clinical imaging trials

Widely used

Occasionally used; limited examples

Emerging use

Sensitivity to floor/ceiling effects

Low

Moderate

High

Captures early compensation mechanisms

No: Assumes immediate decline without buffering

No: Rapid initial decline leaves little room for compensation

Yes: Initial plateau/slow decline reflects preserved function despite pathology