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set.seed(seed = 12345) | ||
require(rstan) | ||
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# Stan generative model | ||
sim_stan <- " | ||
functions { | ||
int zibb_rng(int y, int n, real mu, real phi, real kappa) { | ||
if (bernoulli_rng(kappa) == 1) { | ||
return (0); | ||
} else { | ||
return (beta_binomial_rng(n, mu * phi, (1 - mu) * phi)); | ||
} | ||
} | ||
} | ||
data { | ||
int<lower=0> N_sample; // number of repertoires | ||
int<lower=0> N_gene; // gene | ||
int<lower=0> N_individual; // number of individuals | ||
int<lower=0> N_condition; // number of conditions | ||
array [N_sample] int N; // repertoire size | ||
array [N_individual] int condition_id; // id of conditions | ||
array [N_sample] int individual_id; // id of replicate | ||
vector [N_gene] alpha; | ||
real <lower=0> phi; | ||
real <lower=0, upper=1> kappa; | ||
array [N_condition] vector [N_gene] beta_condition; | ||
vector <lower=0> [N_condition] sigma_condition; | ||
vector <lower=0> [N_condition] sigma_individual; | ||
real <lower=0> sigma_replicate; | ||
} | ||
generated quantities { | ||
array [N_sample] vector <lower=0, upper=1> [N_gene] theta; | ||
array [N_sample] vector [N_gene] beta_sample; | ||
array [N_individual] vector [N_gene] beta_individual; | ||
// generate usage | ||
array [N_gene, N_sample] int Y; | ||
for(i in 1:N_individual) { | ||
for(j in 1:N_gene) { | ||
beta_individual[i][j] = normal_rng(beta_condition[condition_id[i]][j], sigma_individual[condition_id[i]]); | ||
} | ||
} | ||
for(i in 1:N_sample) { | ||
for(j in 1:N_gene) { | ||
beta_sample[i][j] = normal_rng(beta_individual[individual_id[i]][j], sigma_replicate); | ||
theta[i][j] = inv_logit(alpha[j] + beta_sample[i][j]); | ||
Y[j, i] = zibb_rng(Y[j, i], N[i], theta[i][j], phi, kappa); | ||
} | ||
} | ||
} | ||
" | ||
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# compile model | ||
m <- rstan::stan_model(model_code = sim_stan) | ||
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# int<lower=0> N_sample; // number of repertoires | ||
# int<lower=0> N_gene; // gene | ||
# int<lower=0> N_individual; // number of individuals | ||
# int<lower=0> N_condition; // number of conditions | ||
# array [N_sample] int N; // repertoire size | ||
# array [N_individual] int condition_id; // id of conditions | ||
# array [N_sample] int individual_id; // id of replicate | ||
# vector [N_gene] alpha; | ||
# real <lower=0> phi; | ||
# real <lower=0, upper=1> kappa; | ||
# array [N_condition] vector [N_gene] beta_condition; | ||
# vector <lower=0> [N_condition] sigma_condition; | ||
# vector <lower=0> [N_condition] sigma_individual; | ||
# real <lower=0> sigma_replicate; | ||
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# generate data based on the following parameters parameters | ||
set.seed(1005001) | ||
N_gene <- 15 | ||
N_replicates <- 3 | ||
N_individual <- 9 | ||
N_condition <- 3 | ||
N_sample <- N_individual * N_replicates | ||
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condition_id <- rep(x = 1:N_condition, each = N_individual/N_condition) | ||
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N <- rep(x = 1000, times = N_sample) | ||
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individual_id <- rep(x = 1:N_individual, each = N_replicates) | ||
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alpha <- rnorm(n = N_gene, mean = -5, sd = 3) | ||
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phi <- 200 | ||
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kappa <- 0.02 | ||
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beta_condition <- array(data = 0, dim = c(N_condition, N_gene)) | ||
for(c in 1:N_condition) { | ||
for(g in 1:N_gene) { | ||
u <- runif(n = 1, min = 0, max = 1) | ||
if(u <= 0.95) { | ||
beta_condition[c,g] <- rnorm(n = 1, mean = 0, sd = 0.5) | ||
} else { | ||
beta_condition[c,g] <- rnorm(n = 1, mean = 0, sd = 5) | ||
} | ||
} | ||
} | ||
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sigma_condition <- rep(x = 1, times = N_condition) | ||
sigma_individual <- rep(x = 0.5, times = N_condition) | ||
sigma_replicate <- 0.1 | ||
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l <- list(N_sample = N_sample, | ||
N_gene = N_gene, | ||
N_individual = N_individual, | ||
N_condition = N_condition, | ||
N = N, | ||
condition_id = condition_id, | ||
individual_id = individual_id, | ||
alpha = alpha, | ||
phi = phi, | ||
kappa = kappa, | ||
beta_condition = beta_condition, | ||
sigma_condition = sigma_condition, | ||
sigma_individual = sigma_individual, | ||
sigma_replicate = sigma_replicate) | ||
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# simulate | ||
sim <- rstan::sampling(object = m, | ||
data = l, | ||
iter = 1, | ||
chains = 1, | ||
algorithm="Fixed_param") | ||
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# extract simulation and convert into data frame which can | ||
# be used as input of IgGeneUsage | ||
ysim <- rstan::extract(object = sim, par = "Y")$Y | ||
ysim <- ysim[1,,] | ||
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ysim_df <- reshape2::melt(ysim) | ||
colnames(ysim_df) <- c("gene_name", "sample_id", "gene_usage_count") | ||
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m <- data.frame(sample_id = 1:l$N_sample, | ||
individual_id = l$individual_id) | ||
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ysim_df <- merge(x = ysim_df, y = m, by = "sample_id", all.x = T) | ||
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m <- data.frame(individual_id = 1:l$N_individual, | ||
condition_id = l$condition_id) | ||
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ysim_df <- merge(x = ysim_df, y = m, by = "individual_id", all.x = T) | ||
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ysim_df$condition <- paste0("C_", ysim_df$condition_id) | ||
ysim_df$gene_name <- paste0("G_", ysim_df$gene_name) | ||
ysim_df$individual_id <- paste0("I_", ysim_df$individual_id) | ||
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ysim_df$replicate <- rep(rep(x = c("R_1", "R_2", "R_3"), each = 15), times = 9) | ||
ysim_df$condition_id <- NULL | ||
ysim_df$sample_id <- NULL | ||
ysim_df <- ysim_df[, c("individual_id", "condition", "gene_name", | ||
"replicate", "gene_usage_count")] | ||
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d_zibb_4 <- ysim_df | ||
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# save | ||
save(d_zibb_4, file = "data/d_zibb_4.RData", compress = T) | ||
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# ggplot(data = d_zibb_4)+ | ||
# geom_sina(aes(x = gene_name, y = gene_usage_count, col = condition))+ | ||
# theme_bw(base_size = 10)+ | ||
# theme(legend.position = "none") |
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