If then

Branches

Or

And

Example

State of enamel (demineralization level) = dx/dt

These are causes as functions Erosion = function Attrition=

So, dx/dt = a.ut input. si

Great — let’s now clearly define what represents:

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Definition of : The Signal Function

s_i(t) \text{ is the time-based input signal that models how a specific dental condition acts on enamel over time.}

Each depends on the type of damage mechanism (erosion, attrition, etc.).

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Examples of Functions for Each Condition:

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How It Fits in the Main Model:

Control system for enamel loss:

\frac{dx}{dt} = \sum_i a_i \cdot \mu_i(t) \cdot s_i(t)

Sensitivity/gain (how impactful the factor is)

Fuzzy logic (intensity of the input)

Time behavior of the input (this is what you’re asking about)

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Why Use ?

Because enamel damage is not just about whether a factor is present (fuzzy logic), but how it evolves over time — and that time evolution is .

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Would you like a visual comparison of these signal functions?