The Braden Scale as a Statistical Model

Braden Scale
Modeling
Bayesian
Author

Zwelithini Tunyiswa

Published

September 12, 2024

I just did a great podcast with Rob Fraser from SWIFT, and we began talking about Pressure Ulcer risk, the Braden Scale, and machine learning. It got me thinking about how to talk about the Braden Scale as modeler. Below is the result from cobbling together some notes that I wrote to myself over the past couple of months.

Raw Braden Scores are crude homogenizations

In modeling, we simplify reality to make sense of complex phenomena. The Braden Scale, like many clinical assessment tools, is one such simplification. It uses a set of subscales to capture the different dimensions of a patient’s risk of developing pressure ulcers. This is an attempt to formalize a process that is inherently complex and probabilistic.

A score of 10 might be useful as a crude signal—lower scores indicate higher risk—but what we really care about is how the patient got that score. The total score hides the deeper, multi-dimensional structure of the data. To better understand scores, we need to decompose them.

Thinking Hierarchically about the Braden Scale

My preference is to think in terms of the heuristic of a hierarchical model. To wit, a Braden score is composed of six subscales—sensory perception, moisture, activity, mobility, nutrition, and friction/shear. Each subscale captures a different source of risk, but the real danger often comes from the interactions between these subscales, not just their individual effects.

For instance, if a patient has a low score in “sensory perception” (they can’t feel pressure), and also a low score in “mobility” , this combination is much more dangerous than either subscale by itself. These two factors interact in a multiplicative, not additive, way. The inability to feel discomfort plus the inability to move creates a joint risk of skin damage that grows exponentially, like a latent process waiting to erupt.

If we model this in a Bayesian framework, we might expect an interaction term in our model —where the product of sensory perception and mobility contributes disproportionately to the likelihood of pressure ulcers. In the current additive framework of the Braden Scale, this interaction is hidden. So, while two patients might have the same total score, the underlying structure of risk could be very different.

Aggregation obscures important information

Aggregation —like summing different dimensions into a single score—can mask important variation and nonlinear relationships. A total score of 10 assumes that the risk from each subscale is independent and contributes equally to the total. But this is rarely true in real-world systems. Each subscale might have nonlinear impacts that are contingent on the levels of the others. For instance, the effect of “friction and shear” on skin damage is probably much worse if the patient’s “mobility” score is low, because they can’t reposition to relieve the pressure. But this interaction isn’t captured by the simple sum.

Through the frosted looking-glass

In a Bayesian hierarchical model, we would ideally model these subscales not as independent sources of risk, but as “partial observables” of a latent process—perhaps something like “skin breakdown vulnerability”, or “skin frailty”. This latent variable would then be influenced by a combination of subscales, each with its own weight and interaction effects. Rather than reducing everything to a single number, we would retain the structure that allows for these nuanced relationships to emerge.

The Braden Scale might be useful for (many disagree) predicting the overall risk of pressure ulcers, but it doesn’t necessarily explain the mechanisms underlying that risk. This is a key distinction. The explanatory power is what helps clinicians understand how and why risk arises in a given patient. A simple score can tell you that two patients are at risk, but it doesn’t explain why they are at risk in different ways.

For instance, if Patient 1 is at risk due to impaired “sensory perception” and “mobility”, they might require frequent repositioning and sensory interventions. If Patient 2 is at risk due to “moisture” and “nutrition”, interventions would focus more on skin care and dietary improvements. These are very different clinical responses, but they both could be hidden by a total score of 10, which offers no insight into the causal mechanisms at play.

Down the Bayesian Rabbit-Hole

In the Bayesian framework, after fitting a model, we use the posterior distribution to generate new data and see how well it matches the real-world data. In the case of the Braden Scale, if we were modeling pressure ulcer risk, we’d want to check whether patients with the same total score (like two patients with a score of 10) have similar outcomes in terms of pressure ulcer development. If one patient develops ulcers much faster than another despite the same total score, this suggests the model (or scale) is missing important aspects of the data structure. In this case, it is probably the interactions between subscales.

We could place priors on the subscales based on expert knowledge or empirical data about which factors are most important for pressure ulcer development. Instead of assuming equal contributions from each subscale, we could allow the model to learn which combinations of factors are most dangerous. Over time, this would produce a better, more nuanced model—one that doesn’t rely on the misleading simplicity of a total score.

Saying what I said – for the lazy readers

The Braden Scale is a useful tool, but like all models, it is an abstraction. When we collapse six subscales into one number, we lose critical information about how these subscales interact and influence the risk of pressure ulcers. What we need is a model that respects the hierarchical structure of the data and allows for interaction effects between subscales. By focusing on these interactions and latent processes, we can move beyond simple predictions and develop a deeper understanding of the mechanisms of risk. This is the path to better, more effective clinical interventions, rather than relying on a single, oversimplified score.