Last updated: 2023-10-27
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20211209_JingxinRNAseq/analysis/
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Modified: analysis/2023-10-26_ExploreDrmModels.Rmd
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| File | Version | Author | Date | Message |
|---|---|---|---|---|
| Rmd | d7b8ae0 | Benjmain Fair | 2023-10-26 | update model fitting nb |
| html | d7b8ae0 | Benjmain Fair | 2023-10-26 | update model fitting nb |
| Rmd | b3b009e | Benjmain Fair | 2023-10-26 | lots of updates |
| html | b3b009e | Benjmain Fair | 2023-10-26 | lots of updates |
library(tidyverse)
library(RColorBrewer)
library(data.table)
library(drc)
library(ggrepel)
theme_set(
theme_classic() +
theme(text=element_text(size=16, family="Helvetica")))
There are many ways to fit models with drc::drm… See this
tutorial…
I have noticed some funny things, in that depending on exactly how
you call the drm function, the lower and upper limits
estimates are sometimes switched (with corresponding sign change in
slope parameter), and sometimes you get wildly different estimates… I
kind of know what I am looking for inuitively, and I think I have an
idea of how exactly I want to call drm to fit dose response
curves to gene expression. I’m going to demonstrate some of these
nuances here… But first for some terminology…. the 4 parameter log
logistic model has for parameters: b, c, d, and e…
When I fit dose response curves to gene expression, I figured the following details would make the model most useful and easily interpretable:
Response is in units of log2FC relative to DMSO… So I will use the \(log2CPM_d - mean(log2CPM_{DMSO})\) as the response metric (where \(log2CPM_d\) denotes the log2 CountsPerMillion for a gene at dose \(d\)). Thus, one of the limit parameters should be fixed at 0. For best modelling, it makes sense to limit parameters when reasonable, so I will also fit each treatment simultaneously such that I can limit the other limit parameter to be the same amongst all 3 treatments. The ED50 and slope parameter can freely vary between treatments, as I want to capture examples like HTT manual/eyeball interpretation of the dose response data looks like the slope is similar between all three treatments, but the ED50 is shifted. And in the HSD17B4 example, the slope looks clearly different between treatments, and the underlying reason makes sense (in that at the splicing level, there are either 2 or 1 poison exons depending on the treatment, and the gene expression response is logically sort of like the complement of the product of the poison exon dose response curves). Also, for simplicity/interpretability, rather than use the actual nanomolar dose for each treatment, I will rescale the doses of branaplam and C2C5 to be in units that are roughly functionally equivalent to the nanomolar dose for risdiplam. For example, since C2C5 is about 10x more potent than risdiplam, I will use 10*nanomolarDose for C2C5. Also I know that the steepness parameter should be constrained… sometimes the fit converges to something really ridiculous with a unrealistically steep dose. Since b is scaled by the limits, it as actually reasonable imo to just set the same limits across all genes… something like \(abs(c)<5\)
Below, I will use some example data and show what happens when I try to fit these models different ways. In theory, a lot of these models should converge to the same thing, but for whatever reason they don’t.
f_in <-"../code/DoseResponseData/LCL/TidyExpressionDoseData_logFCTransformedAndAllDMSORepsInEachSeries.txt.gz"
sample_n_of <- function(data, size, ...) {
dots <- quos(...)
group_ids <- data %>%
group_by(!!! dots) %>%
group_indices()
sampled_groups <- sample(unique(group_ids), size)
data %>%
filter(group_ids %in% sampled_groups)
}
expression.dat <- fread(f_in) %>%
group_by(treatment) %>%
mutate(doseRank = dense_rank(dose.nM)) %>%
ungroup() %>%
as_tibble() %>%
mutate(doseInRisdiscale = case_when(
treatment == "C2C5" ~ dose.nM * 10,
treatment == "Branaplam" ~ dose.nM * sqrt(10),
TRUE ~ dose.nM
))
expression.dat %>%
distinct(doseInRisdiscale, treatment)
# A tibble: 27 × 2
treatment doseInRisdiscale
<chr> <dbl>
1 Branaplam 9993.
2 Branaplam 3162.
3 Branaplam 999.
4 Branaplam 316.
5 Branaplam 99.9
6 Branaplam 31.6
7 Branaplam 9.99
8 Branaplam 3.16
9 C2C5 10000
10 C2C5 3160
# … with 17 more rows
Plot dose response data for some genes of intrest
GenesToHighlight <- c("STAT1", "HTT", "MYB", "TRIM11", "TRAFD1", "VEGFA", "FBXW11", "HSD17B4")
expression.dat %>%
mutate(treatment = factor(treatment)) %>%
filter(hgnc_symbol %in% GenesToHighlight) %>%
ggplot(aes(x=doseInRisdiscale, y=log2FC, color=treatment)) +
geom_point() +
geom_line() +
scale_x_continuous(trans="log1p", breaks=c(10000, 1000, 100, 10, 0), labels=c("10K", "1K", "100", "10", "0")) +
facet_wrap(~hgnc_symbol, scale="free_y")

Now plot some random genes…
set.seed(0)
expression.dat %>%
filter(!is.na(spearman) & !is.na(log2FC)) %>%
add_count(Geneid) %>%
filter(n==33) %>%
sample_n_of(40, hgnc_symbol) %>%
ggplot(aes(x=doseRank, y=log2FC, color=treatment)) +
geom_point() +
geom_line() +
facet_wrap(~hgnc_symbol, scale="free_y")

| Version | Author | Date |
|---|---|---|
| b3b009e | Benjmain Fair | 2023-10-26 |
Let’s handpick a couple of those, to add to the gene list of interest to more carefully try fitting models…
GenesToHighlight <- c(GenesToHighlight, c("BTG2", "B9D1", "ZIK1", "POLN", "TOMM20P4", "CRYBB1", "EIF2AK4"))
Now fit models for each of these in three ways, which should all in effect be identical:
SlopeAbsValueLimit <- 4.5
for (gene in GenesToHighlight){
cat("\n## ", gene, "\n")
data <- expression.dat %>%
mutate(treatment = factor(treatment)) %>%
filter(hgnc_symbol == gene)
P <- ggplot(data, aes(x=doseInRisdiscale, y=log2FC, color=treatment)) +
geom_point() +
geom_line() +
scale_x_continuous(trans="log1p", breaks=c(10000, 1000, 100, 10, 0), labels=c("10K", "1K", "100", "10", "0"))
print(P)
cat("\n")
cat("\n### LL.4, fix upper limit\n\n")
tryCatch(expr={
fit <- drm(formula = log2FC ~ doseInRisdiscale,
data = data,
fct = LL.4(names=c("Steepness", "LowerLimit", "UpperLimit", "ED50"), fixed=c(NA,NA,0,NA)),
curveid = treatment,
pmodels=data.frame(treatment, 1, treatment, treatment),
# lowerl = c(-5, -Inf, -Inf),
# upperl = c(5, Inf, Inf),
robust = "mean")
message("\n\nSuccessfully fitted model:\n\n")
plot(fit)
as.data.frame(fit$coefficients) %>% knitr::kable() %>% print()
},
error=function(e){
cat("ERROR:", gene, " model LL.4 fixed upper limit\n", conditionMessage(e), "\n")
}
)
cat("\n### LL.4, fix lower limit\n")
tryCatch(expr={
fit <- drm(formula = log2FC ~ doseInRisdiscale,
data = data,
fct = LL.4(names=c("Steepness", "LowerLimit", "UpperLimit", "ED50"), fixed=c(NA,0,NA,NA)),
curveid = treatment,
pmodels=data.frame(treatment, 1, treatment, treatment),# Dunno why this is parameterized as is... but this seems to work
# lowerl = c(-5, -Inf, -Inf),
# upperl = c(5, Inf, Inf),
robust = "mean")
message("\n\nSuccessfully fitted model:\n\n")
plot(fit)
as.data.frame(fit$coefficients) %>% knitr::kable() %>% print()
},
error=function(e){
cat("ERROR:", gene, " model LL.4 fixed lower limit\n", conditionMessage(e), "\n")
}
)
cat("\n### LL.3\n")
tryCatch(expr={
fit <- drm(formula = log2FC ~ doseInRisdiscale,
data = data,
fct = LL.3(names=c("Steepness", "UpperLimit", "ED50"), fixed=c(NA,NA,NA)),
curveid = treatment,
pmodels=data.frame(treatment, 1, treatment),
# lowerl = c(-5, -Inf, -Inf),
# upperl = c(5, Inf, Inf),
robust = "mean")
message("\n\nSuccessfully fitted model:\n\n")
plot(fit)
as.data.frame(fit$coefficients) %>% knitr::kable() %>% print()
},
error=function(e){
cat("ERROR:", gene, " model LL.3\n", conditionMessage(e), "\n")
}
)
cat("\n### LL.4, fix upper limit, limit, limit slope\n\n")
tryCatch(expr={
fit <- drm(formula = log2FC ~ doseInRisdiscale,
data = data,
fct = LL.4(names=c("Steepness", "LowerLimit", "UpperLimit", "ED50"), fixed=c(NA,NA,0,NA)),
curveid = treatment,
pmodels=data.frame(treatment, 1, treatment, treatment),
lowerl = c(-SlopeAbsValueLimit, -Inf, -Inf),
upperl = c(SlopeAbsValueLimit, Inf, Inf),
robust = "mean")
message("\n\nSuccessfully fitted model:\n\n")
plot(fit)
as.data.frame(fit$coefficients) %>% knitr::kable() %>% print()
},
error=function(e){
cat("ERROR:", gene, " model LL.4 fixed upper limit, limit slope\n", conditionMessage(e), "\n")
}
)
cat("\n### LL.4, fix lower limit, limit slope\n")
tryCatch(expr={
fit <- drm(formula = log2FC ~ doseInRisdiscale,
data = data,
fct = LL.4(names=c("Steepness", "LowerLimit", "UpperLimit", "ED50"), fixed=c(NA,0,NA,NA)),
curveid = treatment,
pmodels=data.frame(treatment, 1, treatment, treatment),# Dunno why this is parameterized as is... but this seems to work
lowerl = c(-SlopeAbsValueLimit, -Inf, -Inf),
upperl = c(SlopeAbsValueLimit, Inf, Inf),
robust = "mean")
message("\n\nSuccessfully fitted model:\n\n")
plot(fit)
as.data.frame(fit$coefficients) %>% knitr::kable() %>% print()
},
error=function(e){
cat("ERROR:", gene, " model LL.4 fixed lower limit, limit slope\n", conditionMessage(e), "\n")
}
)
cat("\n### LL.3, limit slope\n")
tryCatch(expr={
fit <- drm(formula = log2FC ~ doseInRisdiscale,
data = data,
fct = LL.3(names=c("Steepness", "UpperLimit", "ED50"), fixed=c(NA,NA,NA)),
curveid = treatment,
pmodels=data.frame(treatment, 1, treatment),
lowerl = c(-SlopeAbsValueLimit, -Inf, -Inf),
upperl = c(SlopeAbsValueLimit, Inf, Inf),
robust = "mean")
message("\n\nSuccessfully fitted model:\n\n")
plot(fit)
as.data.frame(fit$coefficients) %>% knitr::kable() %>% print()
},
error=function(e){
cat("ERROR:", gene, " model LL.3, limit slope\n", conditionMessage(e), "\n")
}
)
}


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.264285 |
| Steepness:C2C5 | 1.461975 |
| Steepness:Risdiplam | 1.449977 |
| LowerLimit:(Intercept) | -4.886981 |
| ED50:Branaplam | 1045.324933 |
| ED50:C2C5 | 711.321624 |
| ED50:Risdiplam | 713.387708 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -9.111220 |
| Steepness:C2C5 | -12.632985 |
| Steepness:Risdiplam | -27.353565 |
| UpperLimit:(Intercept) | -4.183405 |
| ED50:Branaplam | 380.947662 |
| ED50:C2C5 | 927.444193 |
| ED50:Risdiplam | 6105.389931 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -9.111220 |
| Steepness:C2C5 | -12.632985 |
| Steepness:Risdiplam | -27.353565 |
| UpperLimit:(Intercept) | -4.183405 |
| ED50:Branaplam | 380.947662 |
| ED50:C2C5 | 927.444193 |
| ED50:Risdiplam | 6105.389931 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.263214 |
| Steepness:C2C5 | 1.461507 |
| Steepness:Risdiplam | 1.449420 |
| LowerLimit:(Intercept) | -4.887708 |
| ED50:Branaplam | 1045.485553 |
| ED50:C2C5 | 711.520498 |
| ED50:Risdiplam | 713.581694 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: STAT1 model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: STAT1 model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.4840198 |
| Steepness:C2C5 | 0.5926407 |
| Steepness:Risdiplam | 0.5361201 |
| LowerLimit:(Intercept) | -2.9367086 |
| ED50:Branaplam | 19.6878942 |
| ED50:C2C5 | 5211.9265130 |
| ED50:Risdiplam | 1446.2570785 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.4860151 |
| Steepness:C2C5 | -0.5945162 |
| Steepness:Risdiplam | -0.5373429 |
| UpperLimit:(Intercept) | -2.9343586 |
| ED50:Branaplam | 19.6665751 |
| ED50:C2C5 | 5161.9113909 |
| ED50:Risdiplam | 1431.3328869 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.4860151 |
| Steepness:C2C5 | -0.5945162 |
| Steepness:Risdiplam | -0.5373429 |
| UpperLimit:(Intercept) | -2.9343586 |
| ED50:Branaplam | 19.6665751 |
| ED50:C2C5 | 5161.9113909 |
| ED50:Risdiplam | 1431.3328869 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: HTT model LL.4 fixed upper limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: HTT model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: HTT model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 0.6027270 |
| Steepness:C2C5 | 0.8763099 |
| Steepness:Risdiplam | 0.8809865 |
| LowerLimit:(Intercept) | -4.8790223 |
| ED50:Branaplam | 854.8441848 |
| ED50:C2C5 | 492.1582935 |
| ED50:Risdiplam | 468.0208048 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.6023965 |
| Steepness:C2C5 | -0.8757448 |
| Steepness:Risdiplam | -0.8804160 |
| UpperLimit:(Intercept) | -4.8810055 |
| ED50:Branaplam | 856.4518593 |
| ED50:C2C5 | 492.8310725 |
| ED50:Risdiplam | 468.6542144 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.6023965 |
| Steepness:C2C5 | -0.8757448 |
| Steepness:Risdiplam | -0.8804160 |
| UpperLimit:(Intercept) | -4.8810055 |
| ED50:Branaplam | 856.4518593 |
| ED50:C2C5 | 492.8310725 |
| ED50:Risdiplam | 468.6542144 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 0.6025096 |
| Steepness:C2C5 | 0.8760418 |
| Steepness:Risdiplam | 0.8807139 |
| LowerLimit:(Intercept) | -4.8799709 |
| ED50:Branaplam | 855.9124722 |
| ED50:C2C5 | 492.4730941 |
| ED50:Risdiplam | 468.3115700 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: MYB model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: MYB model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 5.699012e-01 |
| Steepness:C2C5 | 1.489062e+01 |
| Steepness:Risdiplam | 2.593925e-01 |
| LowerLimit:(Intercept) | 6.181259e-01 |
| ED50:Branaplam | 3.518368e+02 |
| ED50:C2C5 | 3.433886e+03 |
| ED50:Risdiplam | 1.556755e+04 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.5709617 |
| Steepness:C2C5 | -16.9007997 |
| Steepness:Risdiplam | -0.2644370 |
| UpperLimit:(Intercept) | 0.6167399 |
| ED50:Branaplam | 348.5714837 |
| ED50:C2C5 | 3399.3651173 |
| ED50:Risdiplam | 14185.4024763 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.5709617 |
| Steepness:C2C5 | -16.9007997 |
| Steepness:Risdiplam | -0.2644370 |
| UpperLimit:(Intercept) | 0.6167399 |
| ED50:Branaplam | 348.5714837 |
| ED50:C2C5 | 3399.3651173 |
| ED50:Risdiplam | 14185.4024763 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 2.837967e-01 |
| Steepness:C2C5 | 1.074720e+00 |
| Steepness:Risdiplam | 3.045765e-01 |
| LowerLimit:(Intercept) | 4.052388e+00 |
| ED50:Branaplam | 3.343237e+06 |
| ED50:C2C5 | 5.769947e+04 |
| ED50:Risdiplam | 2.224340e+07 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -3.016154e-01 |
| Steepness:C2C5 | -1.038852e+00 |
| Steepness:Risdiplam | -2.621744e-01 |
| UpperLimit:(Intercept) | 3.244244e+00 |
| ED50:Branaplam | 9.134680e+05 |
| ED50:C2C5 | 4.835079e+04 |
| ED50:Risdiplam | 3.866041e+07 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -3.016154e-01 |
| Steepness:C2C5 | -1.038852e+00 |
| Steepness:Risdiplam | -2.621744e-01 |
| UpperLimit:(Intercept) | 3.244244e+00 |
| ED50:Branaplam | 9.134680e+05 |
| ED50:C2C5 | 4.835079e+04 |
| ED50:Risdiplam | 3.866041e+07 |


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.5176400 |
| Steepness:C2C5 | 4.7994133 |
| Steepness:Risdiplam | 1.1822400 |
| LowerLimit:(Intercept) | 0.6676374 |
| ED50:Branaplam | 256.4706113 |
| ED50:C2C5 | 365.5973701 |
| ED50:Risdiplam | 321.2377935 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.5175123 |
| Steepness:C2C5 | -4.7182191 |
| Steepness:Risdiplam | -1.1820072 |
| UpperLimit:(Intercept) | 0.6677191 |
| ED50:Branaplam | 256.5204423 |
| ED50:C2C5 | 366.5148370 |
| ED50:Risdiplam | 321.3031097 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.5175123 |
| Steepness:C2C5 | -4.7182191 |
| Steepness:Risdiplam | -1.1820072 |
| UpperLimit:(Intercept) | 0.6677191 |
| ED50:Branaplam | 256.5204423 |
| ED50:C2C5 | 366.5148370 |
| ED50:Risdiplam | 321.3031097 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.5171464 |
| Steepness:C2C5 | 4.5000000 |
| Steepness:Risdiplam | 1.1811878 |
| LowerLimit:(Intercept) | 0.6679675 |
| ED50:Branaplam | 256.6890903 |
| ED50:C2C5 | 369.1208612 |
| ED50:Risdiplam | 321.5586583 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.5173189 |
| Steepness:C2C5 | -4.5000000 |
| Steepness:Risdiplam | -1.1812123 |
| UpperLimit:(Intercept) | 0.6679687 |
| ED50:Branaplam | 256.7177161 |
| ED50:C2C5 | 369.1176449 |
| ED50:Risdiplam | 321.5321220 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.5173189 |
| Steepness:C2C5 | -4.5000000 |
| Steepness:Risdiplam | -1.1812123 |
| UpperLimit:(Intercept) | 0.6679687 |
| ED50:Branaplam | 256.7177161 |
| ED50:C2C5 | 369.1176449 |
| ED50:Risdiplam | 321.5321220 |


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 0.3817651 |
| Steepness:C2C5 | 0.8210605 |
| Steepness:Risdiplam | 0.3233641 |
| LowerLimit:(Intercept) | 1.5102915 |
| ED50:Branaplam | 7990.0840610 |
| ED50:C2C5 | 2858.8541579 |
| ED50:Risdiplam | 3600.7093186 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.3775381 |
| Steepness:C2C5 | -0.8095375 |
| Steepness:Risdiplam | -0.3192875 |
| UpperLimit:(Intercept) | 1.5451555 |
| ED50:Branaplam | 8980.3946801 |
| ED50:C2C5 | 3052.2403502 |
| ED50:Risdiplam | 4163.7440736 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.3775381 |
| Steepness:C2C5 | -0.8095375 |
| Steepness:Risdiplam | -0.3192875 |
| UpperLimit:(Intercept) | 1.5451555 |
| ED50:Branaplam | 8980.3946801 |
| ED50:C2C5 | 3052.2403502 |
| ED50:Risdiplam | 4163.7440736 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 3.427477e-01 |
| Steepness:C2C5 | 7.256367e-01 |
| Steepness:Risdiplam | 2.880044e-01 |
| LowerLimit:(Intercept) | 1.849470e+00 |
| ED50:Branaplam | 2.475087e+04 |
| ED50:C2C5 | 5.040642e+03 |
| ED50:Risdiplam | 1.394245e+04 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.3280324 |
| Steepness:C2C5 | -0.7220665 |
| Steepness:Risdiplam | -0.2972506 |
| UpperLimit:(Intercept) | 1.8914782 |
| ED50:Branaplam | 33092.1422310 |
| ED50:C2C5 | 5414.5469858 |
| ED50:Risdiplam | 13644.6598822 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.3280324 |
| Steepness:C2C5 | -0.7220665 |
| Steepness:Risdiplam | -0.2972506 |
| UpperLimit:(Intercept) | 1.8914782 |
| ED50:Branaplam | 33092.1422310 |
| ED50:C2C5 | 5414.5469858 |
| ED50:Risdiplam | 13644.6598822 |


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 9.589470e-01 |
| Steepness:C2C5 | 4.619376e-01 |
| Steepness:Risdiplam | 4.731712e-01 |
| LowerLimit:(Intercept) | 2.216327e+00 |
| ED50:Branaplam | 4.938152e+03 |
| ED50:C2C5 | 4.683941e+04 |
| ED50:Risdiplam | 6.405889e+04 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.9505882 |
| Steepness:C2C5 | -0.4585692 |
| Steepness:Risdiplam | -0.4682422 |
| UpperLimit:(Intercept) | 2.2442768 |
| ED50:Branaplam | 5080.2401621 |
| ED50:C2C5 | 49651.8383960 |
| ED50:Risdiplam | 68650.2078080 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.9505882 |
| Steepness:C2C5 | -0.4585692 |
| Steepness:Risdiplam | -0.4682422 |
| UpperLimit:(Intercept) | 2.2442768 |
| ED50:Branaplam | 5080.2401621 |
| ED50:C2C5 | 49651.8383960 |
| ED50:Risdiplam | 68650.2078080 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: FBXW11 model LL.4 fixed upper limit, limit slope Convergence failed

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -5.389430e-01 |
| Steepness:C2C5 | -4.922571e-01 |
| Steepness:Risdiplam | -4.901796e-01 |
| UpperLimit:(Intercept) | 1.647630e+01 |
| ED50:Branaplam | 7.498320e+05 |
| ED50:C2C5 | 4.258961e+06 |
| ED50:Risdiplam | 6.102685e+06 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -5.389430e-01 |
| Steepness:C2C5 | -4.922571e-01 |
| Steepness:Risdiplam | -4.901796e-01 |
| UpperLimit:(Intercept) | 1.647630e+01 |
| ED50:Branaplam | 7.498320e+05 |
| ED50:C2C5 | 4.258961e+06 |
| ED50:Risdiplam | 6.102685e+06 |


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 0.6017432 |
| Steepness:C2C5 | 40.3188976 |
| Steepness:Risdiplam | 2.7530345 |
| LowerLimit:(Intercept) | -4.8102474 |
| ED50:Branaplam | 56068.4732084 |
| ED50:C2C5 | 330.0059383 |
| ED50:Risdiplam | 868.7382861 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.6302388 |
| Steepness:C2C5 | -45.8851065 |
| Steepness:Risdiplam | -2.3117860 |
| UpperLimit:(Intercept) | -5.2027380 |
| ED50:Branaplam | 57759.6069678 |
| ED50:C2C5 | 1941.5790008 |
| ED50:Risdiplam | 930.0396867 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.6302388 |
| Steepness:C2C5 | -45.8851065 |
| Steepness:Risdiplam | -2.3117860 |
| UpperLimit:(Intercept) | -5.2027380 |
| ED50:Branaplam | 57759.6069678 |
| ED50:C2C5 | 1941.5790008 |
| ED50:Risdiplam | 930.0396867 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 0.5386559 |
| Steepness:C2C5 | 2.1705135 |
| Steepness:Risdiplam | 2.2226211 |
| LowerLimit:(Intercept) | -5.2796746 |
| ED50:Branaplam | 97656.6426634 |
| ED50:C2C5 | 745.8234749 |
| ED50:Risdiplam | 945.3920800 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: HSD17B4 model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: HSD17B4 model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 2.781937e+01 |
| Steepness:C2C5 | 3.031514e+01 |
| Steepness:Risdiplam | 7.821329e-01 |
| LowerLimit:(Intercept) | 6.278559e-01 |
| ED50:Branaplam | 1.855647e+04 |
| ED50:C2C5 | 3.147711e+02 |
| ED50:Risdiplam | 3.577894e+02 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.6189095 |
| Steepness:C2C5 | -1.4027697 |
| Steepness:Risdiplam | -0.9807397 |
| UpperLimit:(Intercept) | 0.3779961 |
| ED50:Branaplam | 1.1724219 |
| ED50:C2C5 | 71.6871387 |
| ED50:Risdiplam | 84.6048332 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.6189095 |
| Steepness:C2C5 | -1.4027697 |
| Steepness:Risdiplam | -0.9807397 |
| UpperLimit:(Intercept) | 0.3779961 |
| ED50:Branaplam | 1.1724219 |
| ED50:C2C5 | 71.6871387 |
| ED50:Risdiplam | 84.6048332 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 4.500000e+00 |
| Steepness:C2C5 | 9.190472e-01 |
| Steepness:Risdiplam | 6.536991e-01 |
| LowerLimit:(Intercept) | 6.899893e-01 |
| ED50:Branaplam | 5.011184e+05 |
| ED50:C2C5 | 2.690935e+02 |
| ED50:Risdiplam | 4.781258e+02 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: BTG2 model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: BTG2 model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.109206 |
| Steepness:C2C5 | 1.257662 |
| Steepness:Risdiplam | 1.125598 |
| LowerLimit:(Intercept) | -5.610512 |
| ED50:Branaplam | 2368.909547 |
| ED50:C2C5 | 3752.873615 |
| ED50:Risdiplam | 7151.945739 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -42.715566 |
| Steepness:C2C5 | -31.227433 |
| Steepness:Risdiplam | -20.999697 |
| UpperLimit:(Intercept) | -3.475657 |
| ED50:Branaplam | 2098.315902 |
| ED50:C2C5 | 3097.439697 |
| ED50:Risdiplam | 1078.921545 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -42.715566 |
| Steepness:C2C5 | -31.227433 |
| Steepness:Risdiplam | -20.999697 |
| UpperLimit:(Intercept) | -3.475657 |
| ED50:Branaplam | 2098.315902 |
| ED50:C2C5 | 3097.439697 |
| ED50:Risdiplam | 1078.921545 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 1.107872 |
| Steepness:C2C5 | 1.256653 |
| Steepness:Risdiplam | 1.124931 |
| LowerLimit:(Intercept) | -5.615041 |
| ED50:Branaplam | 2373.594015 |
| ED50:C2C5 | 3758.895665 |
| ED50:Risdiplam | 7164.142517 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.108054 |
| Steepness:C2C5 | -1.256799 |
| Steepness:Risdiplam | -1.125008 |
| UpperLimit:(Intercept) | -5.614425 |
| ED50:Branaplam | 2372.958091 |
| ED50:C2C5 | 3758.135410 |
| ED50:Risdiplam | 7162.811329 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -1.108054 |
| Steepness:C2C5 | -1.256799 |
| Steepness:Risdiplam | -1.125008 |
| UpperLimit:(Intercept) | -5.614425 |
| ED50:Branaplam | 2372.958091 |
| ED50:C2C5 | 3758.135410 |
| ED50:Risdiplam | 7162.811329 |

Error in optim(startVec, opfct, hessian = TRUE, method = optMethod, control = list(maxit = maxIt, : non-finite finite-difference value [5] ERROR: ZIK1 model LL.4 fixed upper limit Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = optMethod, control = list(maxit = maxIt, : non-finite finite-difference value [6] ERROR: ZIK1 model LL.4 fixed lower limit Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = optMethod, control = list(maxit = maxIt, : non-finite finite-difference value [6] ERROR: ZIK1 model LL.3 Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: ZIK1 model LL.4 fixed upper limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: ZIK1 model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: ZIK1 model LL.3, limit slope Convergence failed

Error in optim(startVec, opfct, hessian = TRUE, method = optMethod, control = list(maxit = maxIt, : non-finite finite-difference value [7] ERROR: POLN model LL.4 fixed upper limit Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = optMethod, control = list(maxit = maxIt, : non-finite finite-difference value [7] ERROR: POLN model LL.4 fixed lower limit Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = optMethod, control = list(maxit = maxIt, : non-finite finite-difference value [7] ERROR: POLN model LL.3 Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : non-finite finite-difference value [7] ERROR: POLN model LL.4 fixed upper limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : non-finite finite-difference value [7] ERROR: POLN model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : non-finite finite-difference value [7] ERROR: POLN model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -5.368666e+00 |
| Steepness:C2C5 | 6.063349e+00 |
| Steepness:Risdiplam | 1.185715e+01 |
| LowerLimit:(Intercept) | 3.193633e-01 |
| ED50:Branaplam | 1.055932e+05 |
| ED50:C2C5 | 5.714868e+00 |
| ED50:Risdiplam | 5.546426e+00 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.0012369 |
| Steepness:C2C5 | -0.0004988 |
| Steepness:Risdiplam | -1.0857694 |
| UpperLimit:(Intercept) | 0.4789872 |
| ED50:Branaplam | 1784.4511277 |
| ED50:C2C5 | 11.7256792 |
| ED50:Risdiplam | 124.4130069 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.0012369 |
| Steepness:C2C5 | -0.0004988 |
| Steepness:Risdiplam | -1.0857694 |
| UpperLimit:(Intercept) | 0.4789872 |
| ED50:Branaplam | 1784.4511277 |
| ED50:C2C5 | 11.7256792 |
| ED50:Risdiplam | 124.4130069 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: TOMM20P4 model LL.4 fixed upper limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: TOMM20P4 model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: TOMM20P4 model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 0.4210764 |
| Steepness:C2C5 | 0.3366277 |
| Steepness:Risdiplam | 3.2876998 |
| LowerLimit:(Intercept) | -1.5022760 |
| ED50:Branaplam | 373.9813357 |
| ED50:C2C5 | 8166.6836026 |
| ED50:Risdiplam | 6234.2208669 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.4272708 |
| Steepness:C2C5 | -0.3383781 |
| Steepness:Risdiplam | -3.1572815 |
| UpperLimit:(Intercept) | -1.5573189 |
| ED50:Branaplam | 477.4159543 |
| ED50:C2C5 | 10716.1781844 |
| ED50:Risdiplam | 6541.2260045 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.4272708 |
| Steepness:C2C5 | -0.3383781 |
| Steepness:Risdiplam | -3.1572815 |
| UpperLimit:(Intercept) | -1.5573189 |
| ED50:Branaplam | 477.4159543 |
| ED50:C2C5 | 10716.1781844 |
| ED50:Risdiplam | 6541.2260045 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: CRYBB1 model LL.4 fixed upper limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: CRYBB1 model LL.4 fixed lower limit, limit slope Convergence failed
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: CRYBB1 model LL.3, limit slope Convergence failed


| fit$coefficients | |
|---|---|
| Steepness:Branaplam | 0.8712671 |
| Steepness:C2C5 | 1.5284816 |
| Steepness:Risdiplam | 17.3731698 |
| LowerLimit:(Intercept) | 0.6337062 |
| ED50:Branaplam | 132.8989229 |
| ED50:C2C5 | 1359.7224688 |
| ED50:Risdiplam | 3000.7519104 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.9616537 |
| Steepness:C2C5 | -1.5510130 |
| Steepness:Risdiplam | -1.5857019 |
| UpperLimit:(Intercept) | 0.6229735 |
| ED50:Branaplam | 127.2343467 |
| ED50:C2C5 | 1320.4270653 |
| ED50:Risdiplam | 1420.9492344 |
| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.9616537 |
| Steepness:C2C5 | -1.5510130 |
| Steepness:Risdiplam | -1.5857019 |
| UpperLimit:(Intercept) | 0.6229735 |
| ED50:Branaplam | 127.2343467 |
| ED50:C2C5 | 1320.4270653 |
| ED50:Risdiplam | 1420.9492344 |
Error in optim(startVec, opfct, hessian = TRUE, method = “L-BFGS-B”, lower = lowerLimits, : L-BFGS-B needs finite values of ‘fn’ ERROR: EIF2AK4 model LL.4 fixed upper limit, limit slope Convergence failed

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.9616253 |
| Steepness:C2C5 | -1.5509806 |
| Steepness:Risdiplam | -1.5857242 |
| UpperLimit:(Intercept) | 0.6229758 |
| ED50:Branaplam | 127.2360106 |
| ED50:C2C5 | 1320.4395018 |
| ED50:Risdiplam | 1420.9578570 |

| fit$coefficients | |
|---|---|
| Steepness:Branaplam | -0.9616253 |
| Steepness:C2C5 | -1.5509806 |
| Steepness:Risdiplam | -1.5857242 |
| UpperLimit:(Intercept) | 0.6229758 |
| ED50:Branaplam | 127.2360106 |
| ED50:C2C5 | 1320.4395018 |
| ED50:Risdiplam | 1420.9578570 |
sessionInfo()
R version 4.2.0 (2022-04-22)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: CentOS Linux 7 (Core)
Matrix products: default
BLAS/LAPACK: /software/openblas-0.3.13-el7-x86_64/lib/libopenblas_haswellp-r0.3.13.so
locale:
[1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C LC_TIME=C
[4] LC_COLLATE=C LC_MONETARY=C LC_MESSAGES=C
[7] LC_PAPER=C LC_NAME=C LC_ADDRESS=C
[10] LC_TELEPHONE=C LC_MEASUREMENT=C LC_IDENTIFICATION=C
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] ggrepel_0.9.1 drc_3.0-1 MASS_7.3-56 data.table_1.14.2
[5] RColorBrewer_1.1-3 forcats_0.5.1 stringr_1.4.0 dplyr_1.0.9
[9] purrr_0.3.4 readr_2.1.2 tidyr_1.2.0 tibble_3.1.7
[13] ggplot2_3.3.6 tidyverse_1.3.1
loaded via a namespace (and not attached):
[1] fs_1.5.2 lubridate_1.8.0 httr_1.4.3 rprojroot_2.0.3
[5] tools_4.2.0 backports_1.4.1 bslib_0.3.1 utf8_1.2.2
[9] R6_2.5.1 DBI_1.1.2 colorspace_2.0-3 withr_2.5.0
[13] tidyselect_1.1.2 compiler_4.2.0 git2r_0.30.1 cli_3.3.0
[17] rvest_1.0.2 xml2_1.3.3 sandwich_3.0-1 labeling_0.4.2
[21] sass_0.4.1 scales_1.2.0 mvtnorm_1.1-3 digest_0.6.29
[25] rmarkdown_2.14 R.utils_2.11.0 pkgconfig_2.0.3 htmltools_0.5.2
[29] plotrix_3.8-2 highr_0.9 dbplyr_2.1.1 fastmap_1.1.0
[33] rlang_1.0.2 readxl_1.4.0 rstudioapi_0.13 farver_2.1.0
[37] jquerylib_0.1.4 generics_0.1.2 zoo_1.8-10 jsonlite_1.8.0
[41] gtools_3.9.2 R.oo_1.24.0 car_3.1-1 magrittr_2.0.3
[45] Matrix_1.5-3 Rcpp_1.0.8.3 munsell_0.5.0 fansi_1.0.3
[49] abind_1.4-5 R.methodsS3_1.8.1 lifecycle_1.0.1 stringi_1.7.6
[53] multcomp_1.4-19 whisker_0.4 yaml_2.3.5 carData_3.0-5
[57] grid_4.2.0 promises_1.2.0.1 crayon_1.5.1 lattice_0.20-45
[61] haven_2.5.0 splines_4.2.0 hms_1.1.1 knitr_1.39
[65] pillar_1.7.0 codetools_0.2-18 reprex_2.0.1 glue_1.6.2
[69] evaluate_0.15 modelr_0.1.8 vctrs_0.4.1 tzdb_0.3.0
[73] httpuv_1.6.5 cellranger_1.1.0 gtable_0.3.0 assertthat_0.2.1
[77] xfun_0.30 broom_0.8.0 later_1.3.0 survival_3.3-1
[81] workflowr_1.7.0 TH.data_1.1-1 ellipsis_0.3.2