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Update coupling constraint derivations in docs
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coltonlloyd committed Mar 24, 2018
1 parent 2890fe9 commit 99c2fff
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38 changes: 17 additions & 21 deletions docs/MEModelFundamentals.ipynb
Original file line number Diff line number Diff line change
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]
},
{
"cell_type": "raw",
"cell_type": "markdown",
"metadata": {
"raw_mimetype": "text/restructuredtext"
"raw_mimetype": "text/markdown"
},
"source": [
".. math::\n",
" \\frac{\\mu}{k_{eff}}"
"$$\\frac{\\mu}{k_{eff}}$$"
]
},
{
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]
},
{
"cell_type": "raw",
"cell_type": "markdown",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
".. math::\n",
" \\textbf{Enzyme Priming: } \\mathrm{enzyme} \\xrightarrow{v0} \\mathrm{enzyme\\_primed + } \\alpha \\cdot \\mathrm{coupling} \\\\\n",
" \\textbf{Enzymatic Reaction: } \\mathrm{a + enzyme\\_primed} \\xrightarrow{v1} \\textrm{enzyme + b}\\\\\n",
" \\textbf{Dilution Coupling Reaction: } \\textrm{enzyme + coupling} \\xrightarrow{v2} \\emptyset \\\\"
"$$\n",
"\\textbf{Enzyme Priming: } \\mathrm{enzyme} \\xrightarrow{v0} \\mathrm{enzyme\\_primed + } \\alpha \\cdot \\mathrm{coupling} \\\\\n",
"\\textbf{Enzymatic Reaction: } \\mathrm{a + enzyme\\_primed} \\xrightarrow{v1} \\textrm{enzyme + b}\\\\\n",
"\\textbf{Dilution Coupling Reaction: } \\textrm{enzyme + coupling} \\xrightarrow{v2} \\emptyset \n",
"$$"
]
},
{
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]
},
{
"cell_type": "raw",
"cell_type": "markdown",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
".. math::\n",
" \\textrm{a} + \\alpha \\cdot \\textrm{enzyme} \\xrightarrow{v1} \\textrm{ b}"
"$$ \\textrm{a} + \\alpha \\cdot \\textrm{enzyme} \\xrightarrow{v1} \\textrm{ b}$$ "
]
},
{
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]
},
{
"cell_type": "raw",
"cell_type": "markdown",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
".. math::\n",
" v_i \\Rightarrow \\frac{mmol}{gDW \\cdot hr}"
"$$v_i \\Rightarrow \\frac{mmol}{gDW \\cdot hr}$$"
]
},
{
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]
},
{
"cell_type": "raw",
"cell_type": "markdown",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
".. math::\n",
" molecular\\_weight \\Rightarrow kDA[\\frac{g}{mmol}]"
"$$molecular\\_weight \\Rightarrow kDA[\\frac{g}{mmol}]$$"
]
},
{
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]
},
{
"cell_type": "raw",
"cell_type": "markdown",
"metadata": {
"raw_mimetype": "text/restructuredtext"
},
"source": [
".. math::\n",
" molecular\\_weight \\cdot v_i \\Rightarrow hr^{-1}[\\mu]"
"$$molecular\\_weight \\cdot v_i \\Rightarrow hr^{-1}[\\mu]$$"
]
}
],
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