File:Hill-Langmuir equation.svg
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Captions
Captions
Graph of the Hill-Langmuir equation with different values of n
Summary edit
| Description |
English: Graph of the Hill-Langmuir equation with different values of n |
| Date | |
| Source | Own work |
| Author | D Wells |
| SVG development | |
| Source code | R codelibrary(ggplot2)
library(data.table)
ka_c=0.75
hill <- function(l, n=1, ka=ka_c){
1 / (1 + (ka/l)^n)
}
ligand_conc = c(0, exp(seq(log(0.001), log(1.75), by=0.01)))
data <- rbind(data.table(ligand_conc, fraction=hill(ligand_conc, 0.2), n=0.2),
data.table(ligand_conc, fraction=hill(ligand_conc, 0.5), n=0.5),
data.table(ligand_conc, fraction=hill(ligand_conc, 1), n=1),
data.table(ligand_conc, fraction=hill(ligand_conc, 2), n=2),
data.table(ligand_conc, fraction=hill(ligand_conc, 4), n=4))
svg(height=3, width=5)
ggplot(data, aes(ligand_conc, fraction, colour=forcats::fct_reorder2(as.factor(n), ligand_conc, fraction), group=n)) +
geom_line(data = data.table(ligand_conc=c(0.001, ka_c, ka_c), fraction=c(0.5,0.5,0), n=NA), colour="blue", linetype="dashed") +
annotate("text", x = ka_c*1.1, y = 0.1, label = expression(italic(K[A])), colour="blue") +
geom_line(size=1) +
coord_cartesian(xlim = c(-0.01,1.75), ylim = c(-0.01, 1), expand=F) +
scale_colour_manual(values = c("black","#BD0026","#F03B20","#FD8D3C","#FECC5C"), name="Hill\nCoefficient") +
ylab("Fraction of receptor bound by ligand") +
xlab("Free Ligand Concentration") +
theme_classic()
dev.off()
|
Licensing edit
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- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:42, 27 April 2020 | | 450 × 270 (107 KB) | D Wells (talk | contribs) | Uploaded own work with UploadWizard |
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