Find how the properties of an entity affect a certain property of its surrounding

We have a set of things (physical entities): ($A_1$, $A_2$, $A_3$, $A_4$,...).

Each of those has certain attributes that we can measure at time $t = 0$. Let $B_i$ represent those attributes, so each of $A_j$ has its own set of attributes ($B_1$, $B_2$, $B_3$,...).

With time, the $A_j$ tend to affect a certain property of their surrounding environment. Let $C$ represent that property. Change in $C$ with respect to time can be measured.

What we have:

1. Identity (name) of each physical entity $A_j$.
2. Value of certain attributes, $B_i$, of each entity $A_j$ measured at time $t = 0$.
3. Data of change in property $C$, which is external to the entity $A_j$, w.r.t. time $t$.

The attributes $B_i$ also change as time passes but we have no way to measure that change. We are limited to their values at time $t = 0$.

Is there a way to find how $C$ or its change w.r.t. time, $C \:vs \:t$, is affected by the set of attributes ($B_i$), and generalize that relation across $A_j$?