37 lines
727 B
TeX
37 lines
727 B
TeX
\documentclass{article}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{amsfonts}
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\begin{document}
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pirt:
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\[ q_{S} = \frac{\mu}{Y_{X/S}} + m_{S} \]
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monod:
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\[ \mu(S) = \frac{\mu_{\max} S}{K_{S} + S} \]
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moser:
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\[ \mu(S) = \frac{\mu_{\max} S^n}{K_{S}^n + S^n} \]
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contois:
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\[ \mu(S,X) = \frac{\mu_{\max} S}{K_{S} X + S} \]
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bergter:
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\[ \mu(S,t) = \frac{\mu_{\max} S}{K_{S} + S} \left(1 - e^{-t/T}\right) \]
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Aiba:
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\[ \mu(S) = \mu_{\max} \frac{S}{K_S + S} e^{-K_I S} \]
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Andrews:
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\[ \mu(S) = \mu_{\max} \frac{S}{K_S + S + \frac{S^2}{K_I}} \]
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Tessier:
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\[ \mu(S) = \mu_{\max} \left(1 - e^{-S/K_S}\right) \]
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Equações de Massas:
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\[ \frac{dX}{dt} = \mu X \]
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\[ \frac{dS}{dt} = -q_{S} X \]
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\[ \frac{dP}{dt} = \mu_{P} X \]
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