Difference between revisions of "Model Overview"

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== Parameters for model reactions ==
 
== Parameters for model reactions ==
 
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Revision as of 14:07, 21 February 2019

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List of Model Reactions

*1 Reactions taking place only in the scenarios which includes the activating complex AR_{2}

*2 Reactions taking place only in the scenarios which includes the antisense RNA interactions

*3 Reactions taking place only in the scenarios which include the activation of scbA by R_{2}

Reactions
O_{R} + R_{2} \rightleftharpoons O_{R} \bullet R_{2}

O_{R}\bullet R_{2} + R_{2} \rightleftharpoons O_{R}\bullet 2R_{2}

O_{A} + R_{2} \rightleftharpoons O_{A}\bullet R_{2}

O_{A}\bullet R_{2} + R_{2} \rightleftharpoons O_{A}\bullet 2R_{2}

A + R_{2} \rightleftharpoons AR_{2} *1

2C + R_{2} \rightleftharpoons C_{2}\bullet R_{2}

O_{A} + AR_{2} \rightleftharpoons O_{A}\bullet AR_{2} *1

O_{A}\bullet R_{2} + AR_{2} \rightleftharpoons O_{A}\bullet R_{2}\bullet AR_{2} *1

O_{A}\bullet 2R_{2} + AR_{2} \rightleftharpoons O_{A}\bullet 2R_{2}\bullet AR_{2} *1

O_{A}\bullet AR_{2} + R_{2} \rightleftharpoons O_{A}\bullet R_{2}\bullet AR_{2} *1

O_{A}\bullet R_{2}\bullet AR_{2} + R_{2} \rightleftharpoons O_{A}\bullet 2R_{2}\bullet AR_{2} *1

S \xrightarrow{A} C

O_{R} \rightarrow O_{R} + r

O_{A} \rightarrow O_{A} + a

O_{A}\bullet AR_{2} \rightarrow O_{A}\bullet AR_{2} + a *1

O_{A}\bullet R_{2} \rightarrow O_{A}\bullet R_{2} + a *3

O_{A}\bullet 2R_{2} \rightarrow O_{A}\bullet 2R_{2} + a *3

O_{A}\bullet R_{2}\bullet AR_{2} \rightarrow O_{A}\bullet R_{2}\bullet AR_{2} + a *3

O_{A}\bullet 2R_{2}\bullet AR_{2} \rightarrow O_{A}\bullet 2R_{2}\bullet AR_{2} + a *3

a + r \rightleftharpoons r\bullet a *2

r \rightarrow r + R

a \rightarrow a + A

2R \rightleftharpoons R_{2}

C \underset{r \cdot D}{\stackrel{D}{\rightleftharpoons}} C_{e}

r\rightarrow \varnothing

R\rightarrow \varnothing

R_{2}\rightarrow \varnothing

a\rightarrow \varnothing

A\rightarrow \varnothing

C\rightarrow \varnothing

C_{2}\bullet R_{2}\rightarrow \varnothing

AR_{2}\rightarrow \varnothing *1

r\bullet a\rightarrow \varnothing *2

C_{e}\rightarrow \varnothing

O_{R}\bullet R_{2} \rightarrow O_{R}\bullet R_{2} + O_{R}

O_{R}\bullet 2R_{2} \rightarrow O_{R}\bullet 2R_{2} + O_{R}

O_{A}\bullet R_{2} \rightarrow O_{A}\bullet R_{2} + O_{A}

O_{A}\bullet 2R_{2} \rightarrow O_{A}\bullet 2R_{2} + O_{A}

O_{A}\bullet AR_{2} \rightarrow O_{A}\bullet AR_{2} + O_{A}

O_{A}\bullet R_{2}\bullet AR_{2} \rightarrow O_{A}\bullet R_{2}\bullet AR_{2} + O_{A}

O_{A}\bullet 2R_{2}\bullet AR_{2} \rightarrow O_{A}\bullet 2R_{2}\bullet AR_{2} + O_{A}

Parameters for model reactions

Failed to parse (lexing error): {|class="wikitable" <table border='1' style="text-align:center"> ! Reaction ! Parameter ! Values in literature ! Units ! Mode ! Spread ! Location parameter (μ) ! Scale parameter (σ) |- |rowspan="2" |[[Binding of R2 to OR operator |Binding of R<sub>2</sub> to OR operator]] |<math>K_{d1},K_{d7} |0.005−5.8 | nM |0.299 |6.8 |0.15471 |1.1661 |- |k^{-}_{1}, k^{-}_{7} |0.09−0.846 | min^{-1} |0.489 |1.98 |−0.37642 |0.58225 |- |rowspan="2" |Binding of R2 to OA operator |K_{d2},K_{d8} |0.005−5.8 | nM |0.299 |6.8 |0.15471 |1.1661 |- |k^{-}_{2},k^{-}_{8} |0.09−0.846 | min^{-1} |0.489 |1.98 |−0.37642 |0.58225 |- |rowspan="2" |Binding of R2 to A |K_{d3} |10^{4}−10^{6} | nM |9.9 \cdot 10^{4} |10.02 |13.192 |1.2977 |- |k^{-}_{3} |38.3-4.46 \cdot 10^{6} | min^{-1} |1879.7 |23.13 |9.9423 |1.5503 |- |rowspan="2" |Binding of R2 to C |K_{d4} |0.0011-10400 | nM |1.58 |730.63 |5.9389 |2.3412 |- |k^{-}_{4} |3 \cdot 10^{-4}-126 | min^{-1} |0.816 |244 |4.2872 |2.119 |- |rowspan="2" |Binding of A-R2 to OA' operator |K_{d5},K_{d9},K_{d10},K_{d11},K_{d12} |0.005−5.8 | nM |0.299 |6.8 |0.15471 |1.1661 |- |k^{-}_{5},k^{-}_{9},k^{-}_{10},k^{-}_{11},k^{-}_{12} |0.09−0.846 | min^{-1} |0.489 |1.98 |−0.37642 |0.58225 |- |Synthesis of C |K_{C} |0.00315−85.5 | min^{-1} |0.094 |60.49 |0.87914 |1.8017 |- |rowspan="3" |Transcription of r |\Omega_{R} |0.16−8.24 | min^{-1} |0.8346 |3.55 |0.63056 |0.90076 |- |k_{F} |18.2−33 | min^{-1} |20.7 |1.34 |3.1107 |0.28276 |- |k_{onR} |0.0518-14.5 | min^{-1} |0.867 |4.09 |0.78694 |0.96428 |- |rowspan="3" |Transcription of a |\Omega_{A_{basal}} |0.001−0.2 | min^{-1} |0.0037 |10.93 |−3.8324 |1.3259 |- |\Omega_{A} |0.11−5.65 | min^{-1} |0.572 |3.5 |0.2514 |0.89956 |- |k_{onA} |0.039-8.82 | min^{-1} |0.587 |3.875 |0.35255 |0.94054 |- |rowspan="2" |Antisense interaction between r and a |K_{ar} |0.4−89 | nM |7.8 |7.27 |3.4665 |1.1882 |- |k^{-}_{ar} |0.006−6 | min^{-1} |0.223 |4.8 |−0.43359 |1.0326 |- |Translation of R |P_{R} |0.165−5.86 | min^{-1} |0.744 |3.2 |0.42952 |0.85176 |- |Translation of A |P_{A} |0.11−4 | min^{-1} |0.5 |3.2 |0.053356 |0.85327 |- |rowspan="2" |Formation of homo-dimer R2 |K_{d6} |2.58-42.9 | nM |3.89 |1.9 |1.6716 |0.55779 |- |k^{-}_{6} |0.144-51.2 | min^{-1} |1.1997 |21.7 |2.5303 |1.5324 |- |Degradation of r |d_{mR} |0.03−0.365 |min^{-1} |0.14 |2.06 |−1.5916 |0.60824 |- |Degradation of R |d_{R} |5.02 \cdot 10^{-4}- 0.00578 |min^{-1} |0.00144 |1.78 |−6.2837 |0.50981 |- |Degradation of R2 |d_{R_{2}} |5.02 \cdot 10^{-4}- 0.00578 |min^{-1} |0.00144 |1.78 |−6.2837 |0.50981 |- |Degradation of a |d_{mA} |0.03−0.365 |min^{-1} |0.14 |2.06 |−1.5916 |0.60824 |- |Degradation of A |d_{A} |5.02 \cdot 10^{-4}- 0.00578 |min^{-1} |0.00144 |1.78 |−6.2837 |0.50981 |- |Degradation of C |d_{C} |7.68 \cdot 10^{-5}- 2 \cdot 10^{-2} |min^{-1} |0.0032 |5.1 |−4.6234 |1.0539 |- |Degradation of C2-R2 |d_{CR} |5.02 \cdot 10^{-4}- 0.00578 |min^{-1} |0.00144 |1.78 |−6.2837 |0.50981 |- |Degradation of A-R2 |d_{AR} |5.02 \cdot 10^{-4}- 0.00578 |min^{-1} |0.00144 |1.78 |−6.2837 |0.50981 |- |Degradation of r-a |d_{mRA} |0.35−69.3 |min^{-1} |4.9 |14.1 |2.5669 |0.98835 |- |Diffusion of C and Ce |D |0.1−24 |min^{-1} |2.8 |4.27 |1.9947 |0.98233 |- |Degradation of Ce |d_{C} |7.68 \cdot 10^{-5}- 2 \cdot 10^{-2} |min^{-1} |0.0032 |5.1 |−4.6234 |1.0539 |}

Parameters for cell growth

Parameter Range of values Units
K 7.14 \cdot 10^{12} - 9\cdot 10^{12} cells
N_0 5 \cdot 10^{10} - 2\cdot 10^{11} cells
\mu_{max} 0.003368 - 0.007499 min^{-1}
v 0.001482 - 0.5814 min^{-1}
m 0.47 - 2.46 n.a.
\lambda 330.52 - 883 min

Initial concentrations of species

Species Initial concentration Units Compartment
OR 0.9592  nM Cell
OA 0.9592  nM Cell
OR-R2 0  nM Cell
OA-R2 0  nM Cell
OA'-AR2 0  nM Cell
r 0  nM Cell
a 0  nM Cell
r-a 0  nM Cell
R 0  nM Cell
R2 0  nM Cell
A 0  nM Cell
C 0  nM Cell
AR2 0  nM Cell
C2R2 0  nM Cell
Ce 0  nM Environment

Differential equations

Diffeq.png