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Merge pull request #1020 from isaacsas/fix_math_model_doc_typos
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fix math descript typos
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isaacsas authored Aug 13, 2024
2 parents 36c10b8 + ad7c385 commit 7a52aa7
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6 changes: 3 additions & 3 deletions docs/src/introduction_to_catalyst/math_models_intro.md
Original file line number Diff line number Diff line change
Expand Up @@ -28,11 +28,11 @@ with $\alpha^k = (\alpha_1^k,\dots,\alpha_M^k)$ its substrate stoichiometry vect

As explained in [the Catalyst introduction](@ref introduction_to_catalyst), for a mass action reaction where the preceding reaction has a fixed rate constant, $k$, this function would be the rate law
```math
a_k(\mathbf{X}(t)) = k \prod_{m=1}^M \frac{(X_m(t))^{\sigma_m^k}}{\sigma_m^k!},
a_k(\mathbf{X}(t)) = k \prod_{m=1}^M \frac{(X_m(t))^{\alpha_m^k}}{\alpha_m^k!},
```
for RRE ODE and CLE SDE models, and the propensity function
```math
a_k(\mathbf{X}(t)) = k \prod_{m=1}^M \frac{X_m(t) (X_m(t)-1) \dots (X_m(t)-\sigma_m^k+1)}{\sigma_m^k!},
a_k(\mathbf{X}(t)) = k \prod_{m=1}^M \frac{X_m(t) (X_m(t)-1) \dots (X_m(t)-\alpha_m^k+1)}{\alpha_m^k!},
```
for stochastic chemical kinetics jump process models.

Expand All @@ -41,7 +41,7 @@ For the reaction $2A + B \overset{k}{\to} 3 C$ we would have
```math
\mathbf{X}(t) = (A(t), B(t), C(t))
```
with $\sigma_1 = 2$, $\sigma_2 = 1$, $\sigma_3 = 0$, $\beta_1 = 0$, $\beta_2 =
with $\alpha_1 = 2$, $\alpha_2 = 1$, $\alpha_3 = 0$, $\beta_1 = 0$, $\beta_2 =
0$, $\beta_3 = 3$, $\nu_1 = -2$, $\nu_2 = -1$, and $\nu_3 = 3$. For an ODE/SDE
model we would have the rate law
```math
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