Figure 1: examples

Hector Roux de Bézieux

libs <- c("dplyr","tidyr", "ggplot2", "condiments", "cowplot", "condimentsPaper")
suppressMessages(
  suppressWarnings(sapply(libs, require, character.only = TRUE))
)

##           dplyr           tidyr         ggplot2      condiments         cowplot 
##            TRUE            TRUE            TRUE            TRUE            TRUE 
## condimentsPaper 
##            TRUE

rm(libs)
set.seed(10721)
colors <-  c("#0072B2", "#D55E00")

Backbone

sd <- create_differential_topology(n_cells = 1000, unbalance_level = .5,
                                   shift = 0, speed = 1)
mst_wt <- sd$mst %>% filter(conditions == "A") 
sd_wt <- sd$sd %>% filter(conditions == "A")

draw_key_traj <- function(data, params, size) {
  leg_key <- ggplot(mapping = aes(x = Dim1, y = Dim2)) +
    geom_path(data = mst_wt %>% filter(Dim2 >= 0), size = .8, col = "#0072B2") +
    geom_path(data = mst_wt %>% filter(Dim2 <= 0), size = .8, col = "#0072B2") +
    geom_point(data = mst_wt, size = 3, col = "#0072B2") +
    theme_void() +
    coord_cartesian(xlim = c(-18, -8), ylim = c(-.3, .3))
  return(cowplot::as_grob(leg_key))
}

p0 <- ggplot(sd_wt, aes(x = Dim1, y = Dim2)) +
  theme_classic() +
  geom_path(data = mst_wt %>% filter(Dim2 >= 0), size = 1.5, col = "#0072B2") +
  geom_path(data = mst_wt %>% filter(Dim2 <= 0), size = 1.5, col = "#0072B2") +
  geom_point(alpha = .8, aes(col = conditions)) +
  geom_point(data = mst_wt, size = 4, col = "#0072B2",
            aes(fill = conditions), key_glyph = draw_key_traj) +
  labs(col = "", fill = "") +
  scale_color_manual(values = "#0072B2", labels = "cells") + 
  scale_fill_manual(values = "#0072B2",
                    labels = "Skeleton\ntrajectory") +
  guides(fill = guide_legend(keywidth = unit(.6, "in"), order = 10),
         col = guide_legend(keywidth = unit(.6, "in"),
                            override.aes = list(alpha = 1, size = 3))) +
  theme(legend.position = c(.3, .6),
        axis.text = element_blank(),
        axis.ticks = element_blank(),
        legend.spacing.y = unit(.4, "in"),
        legend.background = element_blank(),
        legend.text = element_text(size = 14),
        plot.title = element_text(hjust = .5, size = 15)) +
  ggtitle("Mock Examples") +
  annotate("text", x = 22, y = 1, label = "Lineage 1", size = 5) +
  annotate("text", x = 22, y = -1, label = "Lineage 2", size = 5) +
  NULL
t0 <- ggdraw() +
  draw_text(text = "Backbone Trajectory for two conditions",
              x = .5, y = .65, size = 10) +
  draw_text("WT", color = colors[1], size = 16, x = .2, y = .35) +
  draw_text("(constant) and", color = "black", size = 12, x = .4, y = .35) +
  draw_text("KO", color = colors[2], size = 16, x = .6, y = .35) +
  draw_text("(various effects)", color = "black", size = 12, x = .81, y = .35) +
  NULL
plot_grid(p0, t0, ncol = 1, rel_heights = c(4, 1), scale = .95)

Null

sd1 <- create_differential_topology(n_cells = 1000, shift = 0,
                                   unbalance_level = .5)
mst_ko <- sd1$mst %>% filter(conditions == "B")
p1 <- plot_example(sd1$sd, mst_ko, sd_wt, mst_wt, "KO has no effect", colors)
t1 <- ggdraw() +
  draw_text(text = paste0("No differential topology : common trajectory\n",
                          "No differential progression\n", 
                          "No differentatial differentation"), 
              x = .5, y = .5, size = 10)
plot_grid(p1, t1, ncol = 1, rel_heights = c(4, 1), scale = .95)

Differential topology

sd2 <- create_differential_topology(n_cells = 1000, shift = 10,
                                   unbalance_level = .5)
mst_ko <- sd2$mst %>% filter(conditions == "B")
p2 <- plot_example(sd2$sd, mst_ko, sd_wt, mst_wt, "KO changes Lineage 1", colors)
t2 <- ggdraw() +
  draw_text(text = paste0("Differential topology : separate trajectory, common skeleton\n",
                          "No differential progression\nNo differential differentation"), 
              x = .5, y = .5, size = 10)
plot_grid(p2, t2, ncol = 1, rel_heights = c(4, 1), scale = .95)

Differential progression

sd3 <- create_differential_topology(n_cells = 1000, unbalance_level = .9,
                                   shift = 0)
mst_ko <- sd3$mst %>% filter(conditions == "B")
p3 <- plot_example(sd3$sd, mst_ko, sd_wt, mst_wt,
                   "KO blocks differentation in lineage 2", colors)
t3 <- ggdraw() +
  draw_text(text = paste0("No differential topology : common trajectory\n",
                          "Differential progression in Lineage 2\n",
                          "Differentatial differentation"), 
              x = .5, y = .5, size = 10)
plot_grid(p3, t3, ncol = 1, rel_heights = c(4, 1), scale = .95)

Differential progression

sd4 <- create_differential_topology(n_cells = 1000, unbalance_level = .5,
                                   shift = 0, speed = 20)
mst_ko <- sd4$mst %>% filter(conditions == "B")
p4 <- plot_example(sd4$sd, mst_ko, sd_wt, mst_wt,
                   "KO increases developmental speed", colors)
t4 <- ggdraw() +
  draw_text(text = paste0("No differential topology : common trajectory\n",
                          "Differential progression in both lineages\n",
                          "Some differentatial differentation because of speed-up"), 
              x = .5, y = .5, size = 10)
plot_grid(p4, t4, ncol = 1, rel_heights = c(4, 1), scale = .95)

Fully different

sd5 <- create_differential_topology(n_cells = 1000, unbalance_level = .5,
                                   shift = 0, speed = 1)
sd5$sd$Dim2 <- rnorm(n = nrow(sd5$sd), mean = 0, sd = .15)
mst_ko <- sd5$mst %>% filter(conditions == "B") %>%
  mutate(Dim2 = 0)
p5 <- plot_example(sd5$sd, mst_ko, sd_wt, mst_wt,
                   "KO transforms fully the trajectory", colors)
t5 <- ggdraw() +
  draw_text(text = paste0("Differential topology : separate trajectories, imposible to reconcile\n",
                          "NA\nNA"), 
              x = .5, y = .5, size = 10)
plot_grid(p5, t5, ncol = 1, rel_heights = c(4, 1), scale = .95)