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viability and synthetic lethality.
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genes with arbitrary fitness effects.
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from the simulations.
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+[Genetics Simulation Resources (GSR) page](https://popmodels.cancercontrol.cancer.gov/gsr/packages/oncosimulr/#detailed),
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-genetic simulators such as FFPopSim [@Zanini2012], and some that, to our
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-flexibility to specify fitness and mutator effects, with modules and order
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-the simulations, particularly convenient in cancer evolution models. Also
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-unique in this type of software is the addition of functions for simulating
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-fitness landscapes and assessing evolutionary predictability.
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+Are there similar programs? The Java program by @Reiter2013a, TTP, offers
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+somewhat similar functionality to the previous version of OncoSimulR, but
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+it is restricted to at most four drivers (whereas v.1 of OncoSimulR
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+allowed for up to 64), you cannot use arbitrary CBNs or OTs (or XORs or
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+semimonotone graphs) to specify restrictions, there is no allowance for
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+passengers, and a single type of model (a discrete time Galton-Watson
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+process) is implemented. The current functionality of OncoSimulR goes well
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+beyond the the previous version (and, thus, also the TPT of
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+@Reiter2013a). We now allow you to specify all types of fitness effects
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+in other general forward genetic simulators such as FFPopSim
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+[@Zanini2012], and some that, to our knowledge (e.g., order effects) are
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+not available from any genetics simulator. In addition, the "Lego system"
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+to flexibly combine different fitness specifications is also unique; by
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+similarly to what we do with Lego bricks. (I find this an intuitive and
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+very graphical analogy, which I have copied from @Hothorn_2006 and
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+@Hothorn_2008). In a nutshell, salient features of OncoSimulR compared to
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+other simulators are the unparalleled flexibility to specify fitness and
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+mutator effects, with modules and order effects as particularly unique,
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+and the options for sampling and stopping the simulations, particularly
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+convenient in cancer evolution models. Also unique in this type of
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+software is the addition of functions for simulating fitness landscapes
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+and assessing evolutionary predictability.
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+ - Any mapping between genotypes and fitness where this mapping is:
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- `samplePop` function provides.
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+ the sampling points, so you are not restricted by what the
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+ `samplePop` function provides.)
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+* Tracking the genealogical relationships of clones
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(`plotClonePhylog`) and assessing evolutionary predictability
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(`LOD`, `POM`).
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-----
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A quick overview of the main functions and their relationships is shown in
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-object and courier for the name of the functions.
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+Figure \@ref(fig:frelats), where we use italics for the type/class of R
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+object and courier font for the name of the functions.
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<!-- Note: figure1.png, and how to create it, explained in miscell-files -->
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## Examples of questions that can be addressed with OncoSimulR {#whatfor}
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Most of the examples in the rest of this vignette, starting with those in
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\@ref(quickexample), focus on the mechanics. Here, we will illustrate some
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-problems in cancer genomics and evolutionary genetics where OncoSimulR could
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-be of help. This section does not try to provide an answer to any of these
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-questions (those would be full papers by themselves) but simply to
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-illustrate some kinds of questions where you can use OncoSimulR; of course,
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-the possible uses of OncoSimulR are only limited by your ingenuity. Finally,
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-I will only use short snippets of working code as we are limited by time of
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-execution; for real work you would want to use many more scenarios and many
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-more simulations, you would use appropriate statistical methods to compare
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-the output of runs, etc, etc, etc.
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+problems in cancer genomics and evolutionary genetics where OncoSimulR
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+could be of help. This section does not try to provide an answer to any of
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+these questions (those would be full papers by themselves). Instead, this
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+section simply tries to illustrate some kinds of questions where you can
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+use OncoSimulR; of course, the possible uses of OncoSimulR are only
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+limited by your ingenuity. Here, I will only use short snippets of working
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+code as we are limited by time of execution; for real work you would want
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+to use many more scenarios and many more simulations, you would use
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+appropriate statistical methods to compare the output of runs, etc, etc,
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+etc.
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```{r firstload}
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### Recovering restrictions in the order of accumulation of mutations {#ex-order}
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-This is a question that was addressed, for instance in
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+This is a question that was addressed, for instance, in
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@Diaz-Uriarte2015: do methods that try to infer restrictions in the
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-order of accumulation of mutations (e.g., @Szabo2008, @Gerstung2009,
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-@ramazzotti_capri_2015) work well under different evolutionary
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+order of accumulation of mutations [e.g., @Szabo2008; @Gerstung2009;
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+@ramazzotti_capri_2015] work well under different evolutionary
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models and with different sampling schemes? (This issue is also
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touched upon in section \@ref(sample-1)).
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```{r ex-dag-inf}
|
489
|
|
-## 1. Simulate a DAG
|
|
493
|
+## For reproducibility
|
|
494
|
+set.seed(2)
|
|
495
|
+RNGkind("L'Ecuyer-CMRG")
|
|
496
|
+
|
|
497
|
+## Simulate a DAG
|
490
|
498
|
g1 <- simOGraph(4, out = "rT")
|
491
|
499
|
|
492
|
|
-## 2. Simulate two evolutionary trajectories
|
|
500
|
+## Simulate 10 evolutionary trajectories
|
493
|
501
|
s1 <- oncoSimulPop(10, allFitnessEffects(g1, drvNames = 1:4),
|
494
|
502
|
mc.cores = 2, ## adapt to your hardware
|
495
|
503
|
seed = NULL) ## for reproducibility of vignette
|
496
|
504
|
|
497
|
|
-## 3. Sample those data uniformly, and add noise
|
|
505
|
+## Sample those data uniformly, and add noise
|
498
|
506
|
d1 <- samplePop(s1, timeSample = "unif", propError = 0.1)
|
499
|
507
|
|
500
|
|
-## 4. You would now run the appropriate inferential method and
|
501
|
|
-## compare observed and true
|
|
508
|
+## You would now run the appropriate inferential method and
|
|
509
|
+## compare observed and true. For example
|
502
|
510
|
|
503
|
|
-require(Oncotree)
|
504
|
|
-fit1 <- oncotree.fit(d1)
|
|
511
|
+## require(Oncotree)
|
|
512
|
+## fit1 <- oncotree.fit(d1)
|
505
|
513
|
|
506
|
|
-## Now, compare fitted and original. This is well beyond the
|
507
|
|
-## scope of this document (and OncoSimulR itself).
|
|
514
|
+## Now, you'd compare fitted and original. This is well beyond
|
|
515
|
+## the scope of this document (and OncoSimulR itself).
|
508
|
516
|
|
509
|
517
|
```
|
510
|
518
|
|
511
|
|
-```{r, echo=FALSE}
|
512
|
|
-set.seed(7)
|
513
|
|
-RNGkind("L'Ecuyer-CMRG")
|
|
519
|
+```{r hidden-rng-exochs, echo = FALSE}
|
|
520
|
+set.seed(NULL)
|
514
|
521
|
```
|
515
|
522
|
|
|
523
|
+
|
|
524
|
+
|
516
|
525
|
### Sign epistasis and probability of crossing fitness valleys {#ex-ochs}
|
517
|
526
|
|
518
|
|
-These questions, together with the next one (\@ref(ex-predict)),
|
519
|
|
-encompass a wide range of specific issues that have been addressed
|
520
|
|
-in evolutionary genetics studies and which include from detailed
|
521
|
|
-analysis of simple models with a few uphill paths and valleys as in
|
522
|
|
-@Weissman2009 or @Ochs2015, to questions that refer to larger, more
|
523
|
|
-complex fitness landscapes as in @szendro_predictability_2013 or
|
524
|
|
-@franke_evolutionary_2011 (see below).
|
525
|
|
-
|
526
|
|
-
|
527
|
|
-Using as an example @Ochs2015, we could specify the fitness
|
528
|
|
-landscape and run simulations until fixation (with argument
|
529
|
|
-`fixation` to `oncoSimulPop` ---see more details in section
|
530
|
|
-\@ref(fixation) where we also use this same model). We would then
|
531
|
|
-examine the proportion of genotypes fixed under different
|
532
|
|
-scenarios. For instance, we can use the example from @Ochs2015 (we
|
533
|
|
-will see this example also in section \@ref(ochsdesai), where we
|
534
|
|
-cover different ways of specifying fitness). And we can extend this
|
|
527
|
+This question, and the question in the next section (\@ref(ex-predict)),
|
|
528
|
+encompass a wide range of issues that have been addressed in evolutionary
|
|
529
|
+genetics studies and which include from detailed analysis of simple models
|
|
530
|
+with a few uphill paths and valleys as in @Weissman2009 or @Ochs2015, to
|
|
531
|
+questions that refer to larger, more complex fitness landscapes as in
|
|
532
|
+@szendro_predictability_2013 or @franke_evolutionary_2011 (see below).
|
|
533
|
+
|
|
534
|
+
|
|
535
|
+Using as an example @Ochs2015 (we will see this example again in
|
|
536
|
+section \@ref(ochsdesai), where we cover different ways of
|
|
537
|
+specifying fitness), we could specify the fitness landscape and run
|
|
538
|
+simulations until fixation (with argument `fixation` to
|
|
539
|
+`oncoSimulPop` ---see more details in section \@ref(fixation), again
|
|
540
|
+with this example). We would then examine the proportion
|
|
541
|
+of genotypes fixed under different scenarios. And we can extend this
|
535
|
542
|
example by adding mutator genes:
|
536
|
543
|
|
537
|
544
|
|
...
|
...
|
@@ -541,6 +548,10 @@ RNGkind("L'Ecuyer-CMRG")
|
541
|
548
|
```
|
542
|
549
|
|
543
|
550
|
```{r exochs}
|
|
551
|
+## For reproducibility
|
|
552
|
+set.seed(2)
|
|
553
|
+RNGkind("L'Ecuyer-CMRG")
|
|
554
|
+
|
544
|
555
|
## Specify fitness effects.
|
545
|
556
|
|
546
|
557
|
## Numeric values arbitrary, but set the intermediate genotype en
|
...
|
...
|
@@ -578,7 +589,8 @@ initS <- 10
|
578
|
589
|
od_sim <- oncoSimulPop(10, od, muEF = odm,
|
579
|
590
|
fixation = c("u", "i, v"), initSize = initS,
|
580
|
591
|
model = "McFL",
|
581
|
|
- mu = 1e-4, detectionDrivers = NA, finalTime = NA,
|
|
592
|
+ mu = 1e-4, detectionDrivers = NA,
|
|
593
|
+ finalTime = NA,
|
582
|
594
|
detectionSize = NA, detectionProb = NA,
|
583
|
595
|
onlyCancer = TRUE,
|
584
|
596
|
mc.cores = 2, ## adapt to your hardware
|
...
|
...
|
@@ -587,7 +599,7 @@ od_sim <- oncoSimulPop(10, od, muEF = odm,
|
587
|
599
|
sampledGenotypes(samplePop(od_sim))
|
588
|
600
|
```
|
589
|
601
|
|
590
|
|
-```{r hidden-rng-exochs, echo = FALSE}
|
|
602
|
+```{r hidden-rng-exochs33, echo = FALSE}
|
591
|
603
|
set.seed(NULL)
|
592
|
604
|
```
|
593
|
605
|
|
...
|
...
|
@@ -598,7 +610,8 @@ we would run simulations under random fitness landscapes with varied
|
598
|
610
|
ruggedness, and would then examine the evolutionary predictability
|
599
|
611
|
of the trajectories with measures such as "Lines of Descent" and
|
600
|
612
|
"Path of the Maximum" [@szendro_predictability_2013] and the
|
601
|
|
-diversity of the sampled genotypes under different sampling regimes.
|
|
613
|
+diversity of the sampled genotypes under different sampling regimes (see
|
|
614
|
+details in section \@ref(evolpredszend)).
|
602
|
615
|
|
603
|
616
|
|
604
|
617
|
|
...
|
...
|
@@ -608,17 +621,22 @@ RNGkind("L'Ecuyer-CMRG")
|
608
|
621
|
```
|
609
|
622
|
|
610
|
623
|
```{r exszendro}
|
|
624
|
+## For reproducibility
|
|
625
|
+set.seed(7)
|
|
626
|
+RNGkind("L'Ecuyer-CMRG")
|
|
627
|
+
|
611
|
628
|
|
612
|
629
|
## Repeat the following loop for different combinations of whatever
|
613
|
630
|
## interests you, such as number of genes, or distribution of the
|
614
|
631
|
## c and sd (which affect how rugged the landscape is), or
|
615
|
|
-## reference genotype or evolutionary model, or stopping criterion,
|
616
|
|
-## sampling procedure, or ...
|
|
632
|
+## reference genotype, or evolutionary model, or stopping criterion,
|
|
633
|
+## or sampling procedure, or ...
|
617
|
634
|
|
618
|
|
-## 1. Generate a random fitness landscape, from the Rough Mount
|
619
|
|
-## Fuji model, with g genes, and c ("slope" constant) and
|
620
|
|
-## reference chosen randomly. Ask for a minimal number of
|
621
|
|
-## accessible genotypes
|
|
635
|
+## Generate a random fitness landscape, from the Rough Mount
|
|
636
|
+## Fuji model, with g genes, and c ("slope" constant) and
|
|
637
|
+## reference chosen randomly (reference is random by default and
|
|
638
|
+## thus not specified below). Require a minimal number of
|
|
639
|
+## accessible genotypes
|
622
|
640
|
|
623
|
641
|
g <- 6
|
624
|
642
|
c <- runif(1, 1/5, 5)
|
...
|
...
|
@@ -632,20 +650,19 @@ rl <- rfitness(g, c = c, min_accessible_genotypes = g)
|
632
|
650
|
## Obtain landscape measures from Magellan. Export to Magellan
|
633
|
651
|
to_Magellan(rl, file = "rl1.txt")
|
634
|
652
|
|
635
|
|
-## (Getting the statistics requires you to install Magellan,
|
636
|
|
-## and that requires either calling the web app
|
637
|
|
-## (http://wwwabi.snv.jussieu.fr/public/Magellan/) or
|
638
|
|
-## asking Magellan's authors for the software. This is of course
|
639
|
|
-## beyond the scope of the example and the package.
|
|
653
|
+## (Getting the statistics from Magellan requires either
|
|
654
|
+## calling the web app (http://wwwabi.snv.jussieu.fr/public/Magellan/)
|
|
655
|
+## or asking Magellan's authors for the software. This is of course
|
|
656
|
+## beyond the scope of the example and the package.)
|
640
|
657
|
|
641
|
|
-## 3. Simulate evolution in that landscape many times (here just 5)
|
|
658
|
+## Simulate evolution in that landscape many times (here just 10)
|
642
|
659
|
simulrl <- oncoSimulPop(10, allFitnessEffects(genotFitness = rl),
|
643
|
660
|
keepPhylog = TRUE, keepEvery = 1,
|
644
|
661
|
initSize = 4000,
|
645
|
662
|
seed = NULL, ## for reproducibility
|
646
|
663
|
mc.cores = 2) ## adapt to your hardware
|
647
|
664
|
|
648
|
|
-## 4. Obtain measures of evolutionary predictability
|
|
665
|
+## Obtain measures of evolutionary predictability
|
649
|
666
|
diversityLOD(LOD(simulrl))
|
650
|
667
|
diversityPOM(POM(simulrl))
|
651
|
668
|
sampledGenotypes(samplePop(simulrl, typeSample = "whole"))
|
...
|
...
|
@@ -657,10 +674,10 @@ set.seed(NULL)
|
657
|
674
|
|
658
|
675
|
|
659
|
676
|
|
660
|
|
-### Mutator and antimutator genes {#ex-mut-antimut}
|
|
677
|
+### Mutator and antimutator genes {#exmutantimut}
|
661
|
678
|
|
662
|
679
|
The effects of mutator and antimutator genes have been examined both
|
663
|
|
-in cancer genetics [@nowak_evolutionary_2006,
|
|
680
|
+in cancer genetics [@nowak_evolutionary_2006;
|
664
|
681
|
@tomlinson_mutation_1996] and in evolutionary genetics
|
665
|
682
|
[@gerrish_complete_2007], and are related to wider issues such as
|
666
|
683
|
Muller's ratchet and the evolution of sex. There are, thus, a large
|
...
|
...
|
@@ -675,17 +692,17 @@ in driver genes needed to reach cancer is large and if the mutator effect is
|
675
|
692
|
large.
|
676
|
693
|
|
677
|
694
|
|
678
|
|
-We might want to ask, then, how long it takes before we reach
|
679
|
|
-cancer. This is stored in the component `FinalTime` of the
|
680
|
|
-output. We would specify different numbers and effects of mutator
|
681
|
|
-genes (argument `muEF`). We would also change the criteria for
|
|
695
|
+We might want to ask, then, how long it takes before to reach cancer under
|
|
696
|
+different scenarios. Time to reach cancer is stored in the component
|
|
697
|
+`FinalTime` of the output. We would specify different numbers and effects
|
|
698
|
+of mutator genes (argument `muEF`). We would also change the criteria for
|
682
|
699
|
reaching cancer and in our case we can easily do that by specifying
|
683
|
|
-different numbers in `detectionDrivers`. Of course, we would also
|
684
|
|
-want to examine the effects of varying numbers of mutators, drivers,
|
685
|
|
-and possibly fitness consequences of mutators (below we assume
|
686
|
|
-mutators are neutral and we assume there are no additional genes
|
687
|
|
-with deleterious mutations, but this need not be so, of course; see
|
688
|
|
-also [@tomlinson_mutation_1996, @gerrish_complete_2007, @McFarland2014]).
|
|
700
|
+different numbers in `detectionDrivers`. Of course, we would also want to
|
|
701
|
+examine the effects of varying numbers of mutators, drivers, and possibly
|
|
702
|
+fitness consequences of mutators. Below we assume mutators are neutral and
|
|
703
|
+we assume there are no additional genes with deleterious mutations, but
|
|
704
|
+this need not be so, of course [see also
|
|
705
|
+@tomlinson_mutation_1996; @gerrish_complete_2007; @McFarland2014].
|
689
|
706
|
|
690
|
707
|
|
691
|
708
|
Let us run an example. For the sake of simplicity, we assume no
|
...
|
...
|
@@ -721,6 +738,11 @@ RNGkind("L'Ecuyer-CMRG")
|
721
|
738
|
```
|
722
|
739
|
|
723
|
740
|
```{r ex-tomlin2}
|
|
741
|
+## For reproducibility
|
|
742
|
+set.seed(2)
|
|
743
|
+RNGkind("L'Ecuyer-CMRG")
|
|
744
|
+
|
|
745
|
+
|
724
|
746
|
ddr <- 4
|
725
|
747
|
st <- oncoSimulPop(4, ft, muEF = mt,
|
726
|
748
|
detectionDrivers = ddr,
|
...
|
...
|
@@ -743,9 +765,46 @@ set.seed(NULL)
|
743
|
765
|
|
744
|
766
|
|
745
|
767
|
(Incidentally, notice that it is easy to get OncoSimulR to throw an
|
746
|
|
-exception if you do not think twice about the mutator effects you are using
|
747
|
|
-and specify a huge mutation rate if all mutator genes are mutated: see
|
748
|
|
-\@(tomlin-except).)
|
|
768
|
+exception if you accidentally specify a huge mutation rate when all
|
|
769
|
+mutator genes are mutated: see section \@ref(tomlinexcept).)
|
|
770
|
+
|
|
771
|
+
|
|
772
|
+<!-- More complex example where we look at accumulation of deleterious -->
|
|
773
|
+
|
|
774
|
+<!-- ```{r r ex-tomlin3} -->
|
|
775
|
+<!-- set.seed(2) ## for reproducibility -->
|
|
776
|
+<!-- RNGkind("L'Ecuyer-CMRG") -->
|
|
777
|
+
|
|
778
|
+<!-- sd <- 0.1 ## fitness effect of drivers -->
|
|
779
|
+<!-- sp <- -0.01 ## fitness effect of mildly deleterious passengers -->
|
|
780
|
+<!-- sm <- 0 ## fitness effect of mutator -->
|
|
781
|
+<!-- nd <- 20 ## number of drivers -->
|
|
782
|
+<!-- nm <- 5 ## number of mutators -->
|
|
783
|
+<!-- np <- 50 -->
|
|
784
|
+<!-- mut <- 5 ## mutator effect -->
|
|
785
|
+
|
|
786
|
+<!-- fitnessGenesVector <- c(rep(sd, nd), rep(sm, nm), rep(sp, np)) -->
|
|
787
|
+<!-- names(fitnessGenesVector) <- 1:(nd + nm + np) -->
|
|
788
|
+<!-- mutatorGenesVector <- rep(mut, nm) -->
|
|
789
|
+<!-- names(mutatorGenesVector) <- (nd + np + 1):(nd + np + nm) -->
|
|
790
|
+
|
|
791
|
+<!-- ft <- allFitnessEffects(noIntGenes = fitnessGenesVector, -->
|
|
792
|
+<!-- drvNames = 1:nd) -->
|
|
793
|
+<!-- mt <- allMutatorEffects(noIntGenes = mutatorGenesVector) -->
|
|
794
|
+
|
|
795
|
+<!-- ddr <- 4 -->
|
|
796
|
+<!-- st <- oncoSimulPop(4, ft, muEF = mt, -->
|
|
797
|
+<!-- detectionDrivers = ddr, -->
|
|
798
|
+<!-- finalTime = NA, -->
|
|
799
|
+<!-- detectionSize = NA, -->
|
|
800
|
+<!-- detectionProb = NA, -->
|
|
801
|
+<!-- onlyCancer = FALSE, -->
|
|
802
|
+<!-- keepEvery = NA, -->
|
|
803
|
+<!-- mc.cores = 2, ## adapt to your hardware -->
|
|
804
|
+<!-- seed = NULL) ## for reproducibility -->
|
|
805
|
+<!-- colSums(samplePop(st, timeSample = "last", typeSample = "single"), na.rm = TRUE) -->
|
|
806
|
+<!-- ``` -->
|
|
807
|
+
|
749
|
808
|
|
750
|
809
|
|
751
|
810
|
|
...
|
...
|
@@ -787,10 +846,13 @@ fbauer <- allFitnessEffects(bauer)
|
787
|
846
|
plot(b1, use_ggrepel = TRUE) ## avoid overlapping labels
|
788
|
847
|
```
|
789
|
848
|
|
790
|
|
-Now run simulations and examine how frequently the runs do not end
|
791
|
|
-up in extinction (for real, you would of course increase the number
|
792
|
|
-of total populations, the range of initial population sizes, model,
|
793
|
|
-mutation rate, etc):
|
|
849
|
+Now run simulations and examine how frequently the runs end up with
|
|
850
|
+population sizes larger than a pre-specified threshold; for
|
|
851
|
+instance, below we look at increasing population size 4x in the
|
|
852
|
+default maximum number of 2281 time periods (for real, you would of
|
|
853
|
+course increase the number of total populations, the range of
|
|
854
|
+initial population sizes, model, mutation rate, required population
|
|
855
|
+size or number of drivers, etc):
|
794
|
856
|
|
795
|
857
|
|
796
|
858
|
```{r hiddenbau, echo=FALSE}
|
...
|
...
|
@@ -799,14 +861,20 @@ RNGkind("L'Ecuyer-CMRG")
|
799
|
861
|
```
|
800
|
862
|
|
801
|
863
|
```{r exusagebau2}
|
|
864
|
+## For reproducibility
|
|
865
|
+set.seed(2)
|
|
866
|
+RNGkind("L'Ecuyer-CMRG")
|
|
867
|
+
|
802
|
868
|
totalpops <- 5
|
|
869
|
+initSize <- 100
|
803
|
870
|
sb1 <- oncoSimulPop(totalpops, fbauer, model = "Exp",
|
804
|
|
- initSize = 100,
|
|
871
|
+ initSize = initSize,
|
805
|
872
|
onlyCancer = FALSE,
|
806
|
873
|
mc.cores = 2, ## adapt to your hardware
|
807
|
874
|
seed = NULL) ## for reproducibility
|
808
|
|
-## What proportion of the simulations do not end up extinct?
|
809
|
|
-sum(summary(sb1)[, "TotalPopSize"] > 0)/totalpops
|
|
875
|
+
|
|
876
|
+## What proportion of the simulations reach 4x initSize?
|
|
877
|
+sum(summary(sb1)[, "TotalPopSize"] > (4 * initSize))/totalpops
|
810
|
878
|
|
811
|
879
|
```
|
812
|
880
|
```{r hidden-rng-exbau, echo = FALSE}
|
...
|
...
|
@@ -814,6 +882,36 @@ set.seed(NULL)
|
814
|
882
|
```
|
815
|
883
|
|
816
|
884
|
|
|
885
|
+Alternatively, to examine how long it takes to reach cancer for a
|
|
886
|
+pre-specified size, you could look at the value of `FinalTime` as we
|
|
887
|
+did above (section \@ref(exmutantimut)) after running simulations
|
|
888
|
+with `onlyCancer = TRUE` and `detectionSize` set to some reasonable value:
|
|
889
|
+
|
|
890
|
+
|
|
891
|
+```{r hiddenbau22, echo=FALSE}
|
|
892
|
+set.seed(2)
|
|
893
|
+RNGkind("L'Ecuyer-CMRG")
|
|
894
|
+```
|
|
895
|
+
|
|
896
|
+```{r hhhhbbbb22}
|
|
897
|
+
|
|
898
|
+totalpops <- 5
|
|
899
|
+initSize <- 100
|
|
900
|
+sb2 <- oncoSimulPop(totalpops, fbauer, model = "Exp",
|
|
901
|
+ initSize = initSize,
|
|
902
|
+ onlyCancer = TRUE,
|
|
903
|
+ detectionSize = 10 * initSize,
|
|
904
|
+ mc.cores = 2, ## adapt to your hardware
|
|
905
|
+ seed = NULL) ## for reproducibility
|
|
906
|
+
|
|
907
|
+## How long did it take to reach cancer?
|
|
908
|
+unlist(lapply(sb2, function(x) x$FinalTime))
|
|
909
|
+```
|
|
910
|
+
|
|
911
|
+```{r hidden-rng-exbau22, echo = FALSE}
|
|
912
|
+set.seed(NULL)
|
|
913
|
+```
|
|
914
|
+
|
817
|
915
|
#### Consequences of order effects for cancer initiation {#exorder1intro}
|
818
|
916
|
|
819
|
917
|
Instead of focusing on different models for epistatic interactions,
|
...
|
...
|
@@ -829,12 +927,13 @@ order effects):
|
829
|
927
|
```{r oex1intro}
|
830
|
928
|
## Order effects involving three genes.
|
831
|
929
|
|
832
|
|
-## Genotype D, M has different fitness effects
|
|
930
|
+## Genotype "D, M" has different fitness effects
|
833
|
931
|
## depending on whether M or D mutated first.
|
|
932
|
+## Ditto for genotype "F, D, M".
|
|
933
|
+
|
|
934
|
+## Meaning of specification: X > Y means
|
|
935
|
+## that X is mutated before Y.
|
834
|
936
|
|
835
|
|
-## Genotype F, D, M has different fitness
|
836
|
|
-## depending on which of the order in which the genes
|
837
|
|
-## mutated.
|
838
|
937
|
|
839
|
938
|
o3 <- allFitnessEffects(orderEffects = c(
|
840
|
939
|
"F > D > M" = -0.3,
|
...
|
...
|
@@ -863,6 +962,10 @@ RNGkind("L'Ecuyer-CMRG")
|
863
|
962
|
```
|
864
|
963
|
|
865
|
964
|
```{r exusageoe2}
|
|
965
|
+## For reproducibility
|
|
966
|
+set.seed(2)
|
|
967
|
+RNGkind("L'Ecuyer-CMRG")
|
|
968
|
+
|
866
|
969
|
totalpops <- 5
|
867
|
970
|
soe1 <- oncoSimulPop(totalpops, o3, model = "Exp",
|
868
|
971
|
initSize = 500,
|
...
|
...
|
@@ -880,6 +983,10 @@ set.seed(NULL)
|
880
|
983
|
```
|
881
|
984
|
|
882
|
985
|
|
|
986
|
+As we just said, alternatively, to examine how long it takes to
|
|
987
|
+reach cancer you could run simulations with `onlyCancer = TRUE` and
|
|
988
|
+look at the value of `FinalTime` as we did above (section
|
|
989
|
+\@ref(exmutantimut)).
|
883
|
990
|
|
884
|
991
|
|
885
|
992
|
|
...
|
...
|
@@ -893,27 +1000,29 @@ and \@ref(whatfor) and running time and space consumption of OncoSimulR are
|
893
|
1000
|
addressed in section \@ref(timings). You should be aware that **coalescent
|
894
|
1001
|
simulations**, sometimes also called backward-time simulations, are much
|
895
|
1002
|
more efficient for simulating neutral data as well as some special selection
|
896
|
|
-scenarios [@Yuan2012,@Carvajal-Rodriguez2010,@Hoban2011].
|
897
|
|
-
|
898
|
|
-In addition, since OncoSimulR allows you to specify fitness with arbitrary
|
899
|
|
-epistatic and order effects, as well as mutator effects, you need to learn
|
900
|
|
-the syntax of how to specify those effects and you might be paying a
|
901
|
|
-performance penalty if your scenario does not require this complexity. For
|
902
|
|
-instance, in the models in @Beerenwinkel2007b or @Bozic2010, the fitness of
|
903
|
|
-a genotype depends only on the total number of drivers mutated, but not on
|
904
|
|
-which drivers are mutated (and, thus, not on the epistatic interactions nor
|
905
|
|
-the order of accumulation of the drivers). This means that the syntax for
|
906
|
|
-specifying those fitness models could probably be a lot simpler (e.g.,
|
907
|
|
-specify $s$ per driver).
|
908
|
|
-
|
909
|
|
-But it also means that code written for just that case could probably run
|
910
|
|
-much faster. First, because fitness evaluation is easier. Second, and
|
911
|
|
-possibly much more important, because what we need to keep track of leads to
|
912
|
|
-much simpler and economic structures: we do not need to keep track of clones
|
913
|
|
-(where two cells are regarded as different clones if they differ anywhere in
|
914
|
|
-their genotype), but only of clone types as defined by the number of mutated
|
915
|
|
-drivers, and keeping track of clones can be expensive ---see sections
|
916
|
|
-\@ref(timings) and \@ref(trackindivs).
|
|
1003
|
+scenarios [@Yuan2012; @Carvajal-Rodriguez2010; @Hoban2011].
|
|
1004
|
+
|
|
1005
|
+In addition, since OncoSimulR allows you to specify fitness with
|
|
1006
|
+arbitrary epistatic and order effects, as well as mutator effects,
|
|
1007
|
+you need to learn the syntax of how to specify those effects and you
|
|
1008
|
+might be paying a performance penalty if your scenario does not
|
|
1009
|
+require this complexity. For instance, in the model of
|
|
1010
|
+@Beerenwinkel2007b, the fitness of a genotype depends only on the
|
|
1011
|
+total number of drivers mutated, but not on which drivers are
|
|
1012
|
+mutated (and, thus, not on the epistatic interactions nor the order
|
|
1013
|
+of accumulation of the drivers). This means that the syntax for
|
|
1014
|
+specifying that model could probably be a lot simpler
|
|
1015
|
+(e.g., specify $s$ per driver).
|
|
1016
|
+
|
|
1017
|
+But it also means that code written for just that case could
|
|
1018
|
+probably run much faster. First, because fitness evaluation is
|
|
1019
|
+easier. Second, and possibly much more important, because what we
|
|
1020
|
+need to keep track of leads to much simpler and economic structures:
|
|
1021
|
+we do not need to keep track of clones (where two cells are regarded
|
|
1022
|
+as different clones if they differ anywhere in their genotype), but
|
|
1023
|
+only of clone types or clone classes as defined by the number of
|
|
1024
|
+mutated drivers, and keeping track of clones can be expensive ---see
|
|
1025
|
+sections \@ref(timings) and \@ref(trackindivs).
|
917
|
1026
|
|
918
|
1027
|
So for those cases where you do not need the full flexibility of OncoSimulR,
|
919
|
1028
|
special purpose software might be easier to use and faster to run. Of
|
...
|
...
|
@@ -923,16 +1032,17 @@ be available, though.
|
923
|
1032
|
|
924
|
1033
|
|
925
|
1034
|
|
926
|
|
-## Steps in using OncoSimulR {#steps}
|
|
1035
|
+## Steps for using OncoSimulR {#steps}
|
927
|
1036
|
|
928
|
1037
|
|
929
|
1038
|
Using this package will often involve the following steps:
|
930
|
1039
|
|
931
|
1040
|
|
932
|
|
-1. Specify the fitness effects: sections \@ref(specfit) and \@ref(litex).
|
|
1041
|
+1. Specify fitness effects: sections \@ref(specfit) and \@ref(litex).
|
933
|
1042
|
|
934
|
|
-2. Simulate cancer progression: section \@ref(simul). You can simulate
|
935
|
|
- for a single subject or for a set of subjects. You will need to:
|
|
1043
|
+2. Simulate cancer progression: section \@ref(simul). You can
|
|
1044
|
+ simulate for a single individual or subject or for a set of
|
|
1045
|
+ subjects. You will need to:
|
936
|
1046
|
|
937
|
1047
|
- Decide on a model. This basically amounts to choosing a model with
|
938
|
1048
|
exponential growth ("Exp" or "Bozic") or a model with carrying capacity
|
...
|
...
|
@@ -1012,7 +1122,7 @@ sv2 <- allFitnessEffects(epistasis = c("-A : B" = sb,
|
1012
|
1122
|
evalAllGenotypes(sv2, addwt = TRUE)
|
1013
|
1123
|
|
1014
|
1124
|
## 2. Simulate the data. Here we use the "McFL" model and set
|
1015
|
|
-## explicitly parameters for mutation rate, initial size and size
|
|
1125
|
+## explicitly parameters for mutation rate, initial size, size
|
1016
|
1126
|
## of the population that will end the simulations, etc
|
1017
|
1127
|
|
1018
|
1128
|
RNGkind("Mersenne-Twister")
|
...
|
...
|
@@ -1071,7 +1181,7 @@ ep1 <- oncoSimulIndiv(sv2, model = "McFL",
|
1071
|
1181
|
<!-- %% @ -->
|
1072
|
1182
|
|
1073
|
1183
|
|
1074
|
|
-```{r iep1x1,fig.width=6.5, fig.height=4.5, fig.cap="Plot of drivers of an epistasis simulation"}
|
|
1184
|
+```{r iep1x1,fig.width=6.5, fig.height=4.5, fig.cap="Plot of drivers of an epistasis simulation."}
|
1075
|
1185
|
## 3. We will not analyze those data any further. We will only plot
|
1076
|
1186
|
## them. For the sake of a small plot, we thin the data.
|
1077
|
1187
|
plot(ep1, show = "drivers", xlim = c(0, 1500),
|
...
|
...
|
@@ -1093,7 +1203,7 @@ DAG** with the
|
1093
|
1203
|
pancreatic cancer poset in @Gerstung2011 (see more
|
1094
|
1204
|
details in section \@ref(pancreas)):
|
1095
|
1205
|
|
1096
|
|
-```{r, fig.width=5}
|
|
1206
|
+```{r fepancr1, fig.width=5}
|
1097
|
1207
|
## 1. Fitness effects:
|
1098
|
1208
|
pancr <- allFitnessEffects(
|
1099
|
1209
|
data.frame(parent = c("Root", rep("KRAS", 4),
|
...
|
...
|
@@ -1107,10 +1217,14 @@ pancr <- allFitnessEffects(
|
1107
|
1217
|
typeDep = "MN"),
|
1108
|
1218
|
drvNames = c("KRAS", "SMAD4", "CDNK2A", "TP53",
|
1109
|
1219
|
"MLL3", "TGFBR2", "PXDN"))
|
|
1220
|
+```
|
1110
|
1221
|
|
|
1222
|
+```{r figfpancr1, fig.width=5, fig.cap="Plot of DAG corresponding to fitnessEffects object."}
|
1111
|
1223
|
## Plot the DAG of the fitnessEffects object
|
1112
|
1224
|
plot(pancr)
|
1113
|
1225
|
```
|
|
1226
|
+
|
|
1227
|
+
|
1114
|
1228
|
```{r}
|
1115
|
1229
|
## 2. Simulate from it. We change several possible options.
|
1116
|
1230
|
|
...
|
...
|
@@ -1172,7 +1286,7 @@ paper:
|
1172
|
1286
|
A PDF version of this vignette is available
|
1173
|
1287
|
from <https://rdiaz02.github.io/OncoSimul/pdfs/OncoSimulR.pdf>. And an HTML
|
1174
|
1288
|
version from <https://rdiaz02.github.io/OncoSimul/OncoSimulR.html>. These
|
1175
|
|
-files should correspond to the most recent, github version, of the package
|
|
1289
|
+files should correspond to the most recent, GitHub version, of the package
|
1176
|
1290
|
(i.e., they might include changes not yet available from the BioConductor
|
1177
|
1291
|
package).
|
1178
|
1292
|
|
...
|
...
|
@@ -1201,18 +1315,17 @@ of "experiment before launching a large number of simulations"
|
1201
|
1315
|
applies, but here we will walk through several cases to get a
|
1202
|
1316
|
feeling for the major factors that affect speed and size. Many of
|
1203
|
1317
|
the comments on this section need to use ideas discussed in other
|
1204
|
|
-places of this document. If you read this section first, you might
|
|
1318
|
+places of this document; if you read this section first, you might
|
1205
|
1319
|
want to come back after reading the relevant parts.
|
1206
|
1320
|
|
1207
|
1321
|
|
1208
|
1322
|
Speed will depend on:
|
1209
|
1323
|
|
1210
|
1324
|
* Your hardware, of course.
|
1211
|
|
-* The evolutionary model: using the "McFL" model is often slower
|
1212
|
|
- (this model includes density dependence and is more complex).
|
|
1325
|
+* The evolutionary model.
|
1213
|
1326
|
* The granularity of how often you keep data (`keepEvery`
|
1214
|
1327
|
argument). Note that the default, which is to keep as often as you
|
1215
|
|
- sample (so that we preserve all history) can lead to very slow execution
|
|
1328
|
+ sample (so that we preserve all history) can lead to slow execution
|
1216
|
1329
|
times.
|
1217
|
1330
|
* The mutation rate, because higher mutation rates lead to more
|
1218
|
1331
|
clones, and more clones means we need to iterate over, well, more clones,
|
...
|
...
|
@@ -1224,6 +1337,7 @@ Speed will depend on:
|
1224
|
1337
|
* The stopping conditions (`detectionProb`, `detectionDrivers`,
|
1225
|
1338
|
`detectionSize` arguments) and whether or not simulations are run until
|
1226
|
1339
|
cancer is reached (`onlyCancer` argument).
|
|
1340
|
+* Most of the above factors can interact in complex ways.
|
1227
|
1341
|
|
1228
|
1342
|
|
1229
|
1343
|
Size of returned objects will depend on:
|
...
|
...
|
@@ -1430,7 +1544,7 @@ t_mc2 <- system.time(
|
1430
|
1544
|
|
1431
|
1545
|
```
|
1432
|
1546
|
|
1433
|
|
-And we can obtain times, sizes of objects, and summaries of numbers
|
|
1547
|
+We can obtain times, sizes of objects, and summaries of numbers
|
1434
|
1548
|
of clones, iterations, and final times doing, for instance:
|
1435
|
1549
|
|
1436
|
1550
|
|
...
|
...
|
@@ -1458,7 +1572,9 @@ panderOptions("table.split.cells", 900) ## For HTML
|
1458
|
1572
|
## panderOptions("table.split.cells", 8) ## For PDF
|
1459
|
1573
|
|
1460
|
1574
|
set.alignment('right')
|
1461
|
|
-panderOptions('round', 3)
|
|
1575
|
+panderOptions('round', 2)
|
|
1576
|
+panderOptions('big.mark', ',')
|
|
1577
|
+panderOptions('digits', 2)
|
1462
|
1578
|
|
1463
|
1579
|
pander(benchmark_1[1:4, c("Elapsed Time, average per simulation (s)",
|
1464
|
1580
|
"Object Size, average per simulation (MB)",
|
...
|
...
|
@@ -1468,6 +1584,7 @@ pander(benchmark_1[1:4, c("Elapsed Time, average per simulation (s)",
|
1468
|
1584
|
"Total Population Size, median",
|
1469
|
1585
|
"Total Population Size, max.",
|
1470
|
1586
|
"keepEvery")],
|
|
1587
|
+ justify = c('left', rep('right', 8)), ## o.w. hlines not right
|
1471
|
1588
|
## caption = "\\label{tab:bench1}Benchmarks of Exp and McFL models using the default `detectionProb` with two settings of `keepEvery`."
|
1472
|
1589
|
)
|
1473
|
1590
|
```
|
...
|
...
|
@@ -1494,16 +1611,17 @@ a sharp decrease in number of iterations and, thus, running time.
|
1494
|
1611
|
|
1495
|
1612
|
|
1496
|
1613
|
|
1497
|
|
-This table also shows that the `keepEvery = NA` setting, which was in effect
|
1498
|
|
-in simulations `exp2` and `mc2`, can make a difference especially for the
|
1499
|
|
-McFL models, as seen by the median number of clones and the size of the
|
1500
|
|
-returned object. Models `exp2` and `mc2` do not store any intermediate
|
1501
|
|
-population samples so clones that become extinct at any sampling period are
|
1502
|
|
-pruned and only the existing clones at the end of the simulation are
|
1503
|
|
-returned. In contrast, models `exp1` and `mc1` store population samples at
|
1504
|
|
-time intervals of 1 (`keepEvery = 1`), even if many of those clones
|
1505
|
|
-eventually become extinct. We will return to this issue below as execution
|
1506
|
|
-time and object size (which affects RAM usage) depend strongly on number of
|
|
1614
|
+This table also shows that the `keepEvery = NA` setting, which was
|
|
1615
|
+in effect in simulations `exp2` and `mc2`, can make a difference
|
|
1616
|
+especially for the McFL models, as seen by the median number of
|
|
1617
|
+clones and the size of the returned object. Models `exp2` and `mc2`
|
|
1618
|
+do not store any intermediate population samples so clones that
|
|
1619
|
+become extinct at any sampling period are pruned and only the
|
|
1620
|
+existing clones at the end of the simulation are returned. In
|
|
1621
|
+contrast, models `exp1` and `mc1` store population samples at time
|
|
1622
|
+intervals of 1 (`keepEvery = 1`), even if many of those clones
|
|
1623
|
+eventually become extinct. We will return to this issue below as
|
|
1624
|
+execution time and object size depend strongly on the number of
|
1507
|
1625
|
clones tracked.
|
1508
|
1626
|
|
1509
|
1627
|
|
...
|
...
|
@@ -1517,9 +1635,12 @@ population size 1,000 times larger than the initial one (`PDBaseline = 5e4`,
|
1517
|
1635
|
take place unless populations are at least 1,000 times larger than the
|
1518
|
1636
|
initial population size, and probability of detection is 0.1 with a
|
1519
|
1637
|
population size 100,000 times larger than the initial one (`PDBaseline =
|
1520
|
|
-5e5`, `n2 = 5e7`). In runs `exp3` and `exp5` we set `keepEvery = 1` and in
|
|
1638
|
+5e5`, `n2 = 5e7`)[^rva]. In runs `exp3` and `exp5` we set `keepEvery = 1` and in
|
1521
|
1639
|
runs `exp4` and `exp6` we set `keepEvery = NA`.
|
1522
|
1640
|
|
|
1641
|
+[^rva]:Again, these are not necessarily reasonable or common
|
|
1642
|
+settings. We are using them to understand what and how affects
|
|
1643
|
+running time and space consumption.
|
1523
|
1644
|
|
1524
|
1645
|
|
1525
|
1646
|
```{r timing2, eval = FALSE}
|
...
|
...
|
@@ -1580,6 +1701,7 @@ Table: (\#tab:bench1b) Benchmarks of Exp models modifying the default `detection
|
1580
|
1701
|
panderOptions("table.split.table", 99999999)
|
1581
|
1702
|
panderOptions("table.split.cells", 900) ## For HTML
|
1582
|
1703
|
## panderOptions("table.split.cells", 8) ## For PDF
|
|
1704
|
+
|
1583
|
1705
|
set.alignment('right')
|
1584
|
1706
|
panderOptions('round', 2)
|
1585
|
1707
|
panderOptions('big.mark', ',')
|
...
|
...
|
@@ -1595,6 +1717,7 @@ pander(benchmark_1[5:8, c("Elapsed Time, average per simulation (s)",
|
1595
|
1717
|
"keepEvery",
|
1596
|
1718
|
"PDBaseline",
|
1597
|
1719
|
"n2")],
|
|
1720
|
+ justify = c('left', rep('right', 10)), ## o.w. hlines not right
|
1598
|
1721
|
## round = c(rep(2, 3), rep(0, 7)),
|
1599
|
1722
|
## digits = c(rep(2, 3), rep(1, 7)),
|
1600
|
1723
|
## caption = "\\label{tab:bench1b}Benchmarks of Exp and McFL models modifying the default `detectionProb` with two settings of `keepEvery`."
|
...
|
...
|
@@ -1611,7 +1734,8 @@ smaller object sizes and slightly smaller numbers of clones and
|
1611
|
1734
|
execution times. Changing the exiting conditions (by changing
|
1612
|
1735
|
`detectionProb` arguments) leads to large increases in number of
|
1613
|
1736
|
iterations (in this case by factors of about 15x to 25x) and a
|
1614
|
|
-corresponding increase in execution time.
|
|
1737
|
+corresponding increase in execution time as well as much larger
|
|
1738
|
+population sizes (in some cases $>10^{10}$).
|
1615
|
1739
|
|
1616
|
1740
|
|
1617
|
1741
|
In some of the runs of `exp5` and `exp6` we get the (recoverable)
|
...
|
...
|
@@ -1631,16 +1755,16 @@ that simulations will be repeated until the exiting conditions are reached
|
1631
|
1755
|
that ends up in extinction will be repeated. This setting can thus have a
|
1632
|
1756
|
large effect on the exponential models, because when the initial
|
1633
|
1757
|
population size is not very large and we start from the wildtype, it is
|
1634
|
|
-not infrequent for simulations to become extinct (when birth and death
|
|
1758
|
+not uncommon for simulations to become extinct (when birth and death
|
1635
|
1759
|
rates are equal and the population size is small, it is easy to reach
|
1636
|
1760
|
extinction before a mutation in a gene that increases fitness occurs). But
|
1637
|
|
-this is rarely the case in the McFarland model (unless we use really small
|
|
1761
|
+this is rarely the case in the McFarland model (unless we use really tiny
|
1638
|
1762
|
initial population sizes) because of the dependency of death rate on total
|
1639
|
1763
|
population size (see section \@ref(mcfl)).
|
1640
|
1764
|
|
1641
|
1765
|
|
1642
|
1766
|
The number of attempts until cancer was reached in the above
|
1643
|
|
-models is shown in the Table \@ref(tab:bench1c) (the values can be obtained from
|
|
1767
|
+models is shown in Table \@ref(tab:bench1c) (the values can be obtained from
|
1644
|
1768
|
any of the above runs doing, for instance, `median(unlist(lapply(exp1,
|
1645
|
1769
|
function(x) x$other$attemptsUsed)))` ):
|
1646
|
1770
|
|
...
|
...
|
@@ -1648,7 +1772,7 @@ Table: (\#tab:bench1c) Number of attempts until cancer.
|
1648
|
1772
|
```{r bench1c, eval=TRUE, echo = FALSE}
|
1649
|
1773
|
panderOptions("table.split.table", 99999999)
|
1650
|
1774
|
panderOptions("table.split.cells", 900) ## For HTML
|
1651
|
|
-## panderOptions("table.split.cells", 8) ## For PDF
|
|
1775
|
+## panderOptions("table.split.cells", 12) ## For PDF
|
1652
|
1776
|
set.alignment('right')
|
1653
|
1777
|
panderOptions('round', 2)
|
1654
|
1778
|
panderOptions('big.mark', ',')
|
...
|
...
|
@@ -1660,9 +1784,10 @@ pander(benchmark_1[1:8, c(
|
1660
|
1784
|
"Attempts until Cancer, max.",
|
1661
|
1785
|
"PDBaseline",
|
1662
|
1786
|
"n2")],
|
|
1787
|
+ justify = c('left', rep('right', 5)), ## o.w. hlines not right
|
1663
|
1788
|
## round = c(rep(2, 3), rep(0, 7)),
|
1664
|
1789
|
## digits = c(rep(2, 3), rep(1, 7)),
|
1665
|
|
- ## caption = "\\label{tab:bench1c}Median number of attempts until cancer."
|
|
1790
|
+ ## caption = "\\label{tab:bench1c}Number of attempts until cancer."
|
1666
|
1791
|
)
|
1667
|
1792
|
## ## data(benchmark_1)
|
1668
|
1793
|
## knitr::kable(benchmark_1[1:8, c("Attempts.Median",
|
...
|
...
|
@@ -1680,7 +1805,7 @@ The McFL models finish in a single attempt. The exponential model
|
1680
|
1805
|
simulations where we can exit with small population sizes (`exp1`, `exp2`)
|
1681
|
1806
|
need many fewer attempts to reach cancer than those where large population
|
1682
|
1807
|
sizes are required (`exp3` to `exp6`). There is no relevant different
|
1683
|
|
-among those four, which is what we would expect: a population that has
|
|
1808
|
+among those last four, which is what we would expect: a population that has
|
1684
|
1809
|
already reached a size of 50,000 cells from an initial population size of
|
1685
|
1810
|
500 is obviously a growing population where there is at least one mutant
|
1686
|
1811
|
with positive fitness; thus, it unlikely to go extinct and therefore
|
...
|
...
|
@@ -1690,7 +1815,7 @@ risk of extinction.
|
1690
|
1815
|
|
1691
|
1816
|
We will now rerun all of the above models with argument `onlyCancer =
|
1692
|
1817
|
FALSE`. The results are shown in Table \@ref(tab:timing3) (note that the
|
1693
|
|
-differences between this table and table \@ref(tab:bench1) for the McFL
|
|
1818
|
+differences between this table and Table \@ref(tab:bench1) for the McFL
|
1694
|
1819
|
models are due only to sampling variation).
|
1695
|
1820
|
|
1696
|
1821
|
\bslandscape
|
...
|
...
|
@@ -1717,6 +1842,7 @@ pander(benchmark_1[9:16,
|
1717
|
1842
|
"keepEvery",
|
1718
|
1843
|
"PDBaseline",
|
1719
|
1844
|
"n2")],
|
|
1845
|
+ justify = c('left', rep('right', 11)), ## o.w. hlines not right
|
1720
|
1846
|
## caption = "\\label{tab:timing3} Benchmarks of models in Table \\@ref(tab:bench1) and \\@ref(tab:bench1b) when run with `onlyCancer = FALSE`."
|
1721
|
1847
|
)
|
1722
|
1848
|
|
...
|
...
|
@@ -1745,7 +1871,7 @@ To make it easier to compare results with those of the next section, Table
|
1745
|
1871
|
|
1746
|
1872
|
\bslandscape
|
1747
|
1873
|
|
1748
|
|
-Table: (\#tab:allr1bck) Benchmarks of all models in Tables \@ref(tab:bench1), \@ref(tab:bench1b) and \@ref(tab:timing3).
|
|
1874
|
+Table: (\#tab:allr1bck) Benchmarks of all models in Tables \@ref(tab:bench1), \@ref(tab:bench1b), and \@ref(tab:timing3).
|
1749
|
1875
|
```{r bench1dx0, eval=TRUE, echo = FALSE}
|
1750
|
1876
|
panderOptions("table.split.table", 99999999)
|
1751
|
1877
|
## panderOptions("table.split.cells", 900) ## For HTML
|
...
|
...
|
@@ -1761,7 +1887,8 @@ pander(benchmark_1[ , c("Elapsed Time, average per simulation (s)",
|
1761
|
1887
|
"Final Time, median", "Total Population Size, median",
|
1762
|
1888
|
"Total Population Size, mean", "Total Population Size, max.",
|
1763
|
1889
|
"keepEvery", "PDBaseline", "n2", "onlyCancer")],
|
1764
|
|
- ## caption = "\\label{tab:allr1bck}Benchmarks of all models in Tables \\@ref(tab:bench1), \\@ref(tab:bench1b) and \\@ref(tab:timing3)."
|
|
1890
|
+ justify = c('left', rep('right', 12)), ## o.w. hlines not right
|
|
1891
|
+ ## caption = "\\label{tab:allr1bck}Benchmarks of all models in Tables \\@ref(tab:bench1), \\@ref(tab:bench1b), and \\@ref(tab:timing3)."
|
1765
|
1892
|
)
|
1766
|
1893
|
```
|
1767
|
1894
|
|
...
|
...
|
@@ -1773,11 +1900,12 @@ pander(benchmark_1[ , c("Elapsed Time, average per simulation (s)",
|
1773
|
1900
|
|
1774
|
1901
|
### Changing fitness: $s=0.1$ and $s=0.05$ {#bench1xf}
|
1775
|
1902
|
|
1776
|
|
-In the above fitness specification the fitness effect of each gene (when
|
1777
|
|
-its restrictions are satisfied) is $s = 0.1$ (see section \@ref(numfit)
|
1778
|
|
-for details). Here we rerun all the above benchmarks using $s= 0.05$ and
|
1779
|
|
-results are shown below in Table \@ref(tab:timing3xf); the results from these
|
1780
|
|
-benchmarks are available as `data(benchmark_1_0.05)`:
|
|
1903
|
+In the above fitness specification the fitness effect of each gene
|
|
1904
|
+(when its restrictions are satisfied) is $s = 0.1$ (see section
|
|
1905
|
+\@ref(numfit) for details). Here we rerun all the above benchmarks
|
|
1906
|
+using $s= 0.05$ (the results from these benchmarks are available as
|
|
1907
|
+`data(benchmark_1_0.05)`) and results are shown below in Table
|
|
1908
|
+\@ref(tab:timing3xf).
|
1781
|
1909
|
|
1782
|
1910
|
\bslandscape
|
1783
|
1911
|
|
...
|
...
|
@@ -1821,6 +1949,7 @@ pander(benchmark_1_0.05[ , c("Elapsed Time, average per simulation (s)",
|
1821
|
1949
|
"Total Population Size, median",
|
1822
|
1950
|
"Total Population Size, mean", "Total Population Size, max.",
|
1823
|
1951
|
"keepEvery", "PDBaseline", "n2", "onlyCancer")],
|
|
1952
|
+ justify = c('left', rep('right', 12)), ## o.w. hlines not right
|
1824
|
1953
|
## caption = "\\label{tab:timing3xf}Benchmarks of all models in Table \\@ref(tab:allr1bck) using $s=0.05$ (instead of $s=0.1$)."
|
1825
|
1954
|
)
|
1826
|
1955
|
|
...
|
...
|
@@ -1877,10 +2006,10 @@ iterations and, thus, running time.
|
1877
|
2006
|
|
1878
|
2007
|
|
1879
|
2008
|
|
1880
|
|
-The moral here is that in complex simulations like this, the effects
|
1881
|
|
-of some parameters ($s$ in this case) might look counter-intuitive
|
1882
|
|
-at first. Thus the need to "experiment before launching a large
|
1883
|
|
-number of simulations".
|
|
2009
|
+The moral here is that in complex simulations like this (and most
|
|
2010
|
+simulations are complex), the effects of some parameters ($s$ in this
|
|
2011
|
+case) might look counter-intuitive at first. Thus the need to "experiment
|
|
2012
|
+before launching a large number of simulations".
|
1884
|
2013
|
|
1885
|
2014
|
|
1886
|
2015
|
## Several "common use cases" runs {#benchusual}
|
...
|
...
|
@@ -1923,12 +2052,12 @@ rf12 <- allFitnessEffects(genotFitness = rfl12)
|
1923
|
2052
|
|
1924
|
2053
|
|
1925
|
2054
|
## Independent genes; positive fitness from exponential distribution
|
1926
|
|
-## mean around 0.1, and negative from exponential with mean around
|
1927
|
|
-## 0.02. Half of genes positive fitness effects, half negative.
|
|
2055
|
+## with mean around 0.1, and negative from exponential with mean
|
|
2056
|
+## around -0.02. Half of genes positive fitness effects, half
|
|
2057
|
+## negative.
|
1928
|
2058
|
|
1929
|
|
-ng <- 200
|
1930
|
|
-re_200 <- allFitnessEffects(noIntGenes = c(rexp(ng/2, 10),
|
1931
|
|
- -rexp(ng/2, 50)))
|
|
2059
|
+ng <- 200 re_200 <- allFitnessEffects(noIntGenes = c(rexp(ng/2, 10),
|
|
2060
|
+-rexp(ng/2, 50)))
|
1932
|
2061
|
|
1933
|
2062
|
ng <- 500
|
1934
|
2063
|
re_500 <- allFitnessEffects(noIntGenes = c(rexp(ng/2, 10),
|
...
|
...
|
@@ -2001,7 +2130,7 @@ oncoSimulPop(Nindiv,
|
2001
|
2130
|
```
|
2002
|
2131
|
|
2003
|
2132
|
|
2004
|
|
-For the exponential model we will stop simulations when the populations
|
|
2133
|
+For the exponential model we will stop simulations when populations
|
2005
|
2134
|
have $>10^6$ cells (simulations start from 500 cells). For the McFarland
|
2006
|
2135
|
model we will use the `detectionProb` mechanism (see section
|
2007
|
2136
|
\@ref(detectprob) for details); we could have used as stopping mechanism
|
...
|
...
|
@@ -2009,45 +2138,46 @@ model we will use the `detectionProb` mechanism (see section
|
2009
|
2138
|
reaching cancer, as argued in [@McFarland2013]) but we want to provide
|
2010
|
2139
|
further examples under the `detectionProb` mechanism. We will start from 1000
|
2011
|
2140
|
cells, not 500 (starting from 1000 we almost always reach cancer in a
|
2012
|
|
-single execution).
|
|
2141
|
+single run).
|
2013
|
2142
|
|
2014
|
2143
|
|
2015
|
2144
|
Why not use the `detectionProb` mechanism with the `Exp` models? Because
|
2016
|
2145
|
it can be hard to intuitively understand what are reasonable settings for
|
2017
|
2146
|
the parameters of the `detectionProb` mechanism when used in a population
|
2018
|
2147
|
that is growing exponentially, especially if different genes have very
|
2019
|
|
-different effects on fitness and we are using fitness specifications that
|
2020
|
|
-are so different (compare the fitness landscape of six genes, the pancreas
|
2021
|
|
-specification, and the fitness specification with 4000 genes with fitness
|
2022
|
|
-effects drawn from an exponential distribution ---`re_4000`). In contrast,
|
2023
|
|
-the `detectionProb` mechanism might be simpler to reason about in a
|
2024
|
|
-population that is growing under a model of carrying capacity with
|
2025
|
|
-possibly large periods of stasis. Let us emphasize that it is not that the
|
2026
|
|
-`detectionProb` mechanism does not make sens with the Exp model; it is
|
2027
|
|
-simply that the parameters might need finer adjustment for them to make
|
2028
|
|
-sense, and in these benchmarks we are dealing with widely different
|
2029
|
|
-fitness specifications.
|
|
2148
|
+different effects on fitness. Moreover, we are using fitness
|
|
2149
|
+specifications that are very different (compare the fitness landscape of
|
|
2150
|
+six genes, the pancreas specification, and the fitness specification with
|
|
2151
|
+4000 genes with fitness effects drawn from an exponential distribution
|
|
2152
|
+---`re_4000`). In contrast, the `detectionProb` mechanism might be simpler
|
|
2153
|
+to reason about in a population that is growing under a model of carrying
|
|
2154
|
+capacity with possibly large periods of stasis. Let us emphasize that it
|
|
2155
|
+is not that the `detectionProb` mechanism does not make sense with the Exp
|
|
2156
|
+model; it is simply that the parameters might need finer adjustment for
|
|
2157
|
+them to make sense, and in these benchmarks we are dealing with widely
|
|
2158
|
+different fitness specifications.
|
2030
|
2159
|
|
2031
|
2160
|
|
2032
|
2161
|
Note also that we specify `checkSizePEvery = 4` (instead of the default,
|
2033
|
2162
|
which is 20). Why? Because the fitness specifications where fitness
|
2034
|
2163
|
effects are drawn from exponential distributions (`re_200` to `re_4000`
|
2035
|
2164
|
above) include many genes (well, up to 4000) some of them with possibly
|
2036
|
|
-very large effects. In these conditions, simulations will run very fast in
|
|
2165
|
+very large effects. In these conditions, simulations can run very fast in
|
2037
|
2166
|
the sense of "units of time". If we check exiting conditions every 20
|
2038
|
|
-units the population could have increased size several orders of magnitude
|
2039
|
|
-in between checks (this is also discussed in sections \@ref(detectprob)
|
2040
|
|
-and \@ref(bench1xf)). You can verify this by running the script with other
|
2041
|
|
-settings for `checkSizePEvery` (and being aware that large settings might
|
2042
|
|
-require you to wait for a long time). To ensure that populations have
|
2043
|
|
-really grown, we have increased the setting of `PDBaseline` so that no
|
2044
|
|
-simulation can be considered for stopping unless its size is 1.4 times
|
2045
|
|
-larger than `initSize`.
|
|
2167
|
+units the population could have increased its size several orders of
|
|
2168
|
+magnitude in between checks (this is also discussed in sections
|
|
2169
|
+\@ref(bench1xf) and \@ref(detectprob)). You can verify this by running the
|
|
2170
|
+script with other settings for `checkSizePEvery` (and being aware that
|
|
2171
|
+large settings might require you to wait for a long time). To ensure that
|
|
2172
|
+populations have really grown, we have increased the setting of
|
|
2173
|
+`PDBaseline` so that no simulation can be considered for stopping unless
|
|
2174
|
+its size is 1.4 times larger than `initSize`.
|
2046
|
2175
|
|
2047
|
|
-In all cases we use `keepEvery = 1` and `keepPhylog = TRUE`. Finally, we
|
2048
|
|
-run all models with `errorHitWallTime = FALSE` and `errorHitMaxTries =
|
2049
|
|
-FALSE` so that we can see results even if stopping conditions are not
|
2050
|
|
-met.
|
|
2176
|
+In all cases we use `keepEvery = 1` and `keepPhylog = TRUE` (so we store
|
|
2177
|
+the population sizes of all clones every 1 time unit and we keep the
|
|
2178
|
+complete genealogy of clones). Finally, we run all models with
|
|
2179
|
+`errorHitWallTime = FALSE` and `errorHitMaxTries = FALSE` so that we can
|
|
2180
|
+see results even if stopping conditions are not met.
|
2051
|
2181
|
|
2052
|
2182
|
|
2053
|
2183
|
|
...
|
...
|
@@ -2120,7 +2250,7 @@ The McFL model with random fitness landscape `rf12` and with `pancr` does
|
2120
|
2250
|
not satisfy the conditions of `detectionProb` in most cases: its median
|
2121
|
2251
|
final time is 5000, which was the maximum final time specified. This
|
2122
|
2252
|
suggests that the fitness landscape is such that it is unlikely that we
|
2123
|
|
-will reach population sizes $> 1400$ (remember we increase the setting for
|
|
2253
|
+will reach population sizes $> 1400$ (remember we the setting for
|
2124
|
2254
|
`PDBaseline`) before 5000 time units. There is nothing particular about
|
2125
|
2255
|
using a fitness landscape of 12 genes and other runs in other 12-gene
|
2126
|
2256
|
random fitness landscapes do not show this pattern. However, complex
|
...
|
...
|
@@ -2161,14 +2291,15 @@ a `checkSizePEvery = 20` probably would not have made sense.
|
2161
|
2291
|
|
2162
|
2292
|
|
2163
|
2293
|
Finally, it is interesting that in the cases examined here, the two
|
2164
|
|
-slowest running simulations are from "Exp", with fitnesses `re_2000` and
|
2165
|
|
-`re_4000` (and the third slowest is also Exp, under `re_500`). These are
|
2166
|
|
-the cases with the largest number of clones. Why? In the "Exp" model there
|
2167
|
|
-is no competition, and fitness specifications `re_2000` and `re_4000` have
|
2168
|
|
-genomes with many genes with positive fitness contributions. It is thus
|
2169
|
|
-very easy to obtain, from the wildtype ancestor, a large number of clones
|
2170
|
|
-all of which have birth rates $>1$ and, thus, clones that are unlikely to
|
2171
|
|
-become extinct.
|
|
2294
|
+slowest running simulations are from "Exp", with fitnesses `re_2000`
|
|
2295
|
+and `re_4000` (and the third slowest is also Exp, under
|
|
2296
|
+`re_500`). These are also the cases with the largest number of
|
|
2297
|
+clones. Why? In the "Exp" model there is no competition, and fitness
|
|
2298
|
+specifications `re_2000` and `re_4000` have genomes with many genes
|
|
2299
|
+with positive fitness contributions. It is thus very easy to obtain,
|
|
2300
|
+from the wildtype ancestor, a large number of clones all of which
|
|
2301
|
+have birth rates $>1$ and, thus, clones that are unlikely to become
|
|
2302
|
+extinct.
|
2172
|
2303
|
|
2173
|
2304
|
|
2174
|
2305
|
|
...
|
...
|
@@ -2177,8 +2308,8 @@ become extinct.
|
2177
|
2308
|
|
2178
|
2309
|
We will now rerun the simulations above changing the following:
|
2179
|
2310
|
|
2180
|
|
-- `finalTime` is set to 25000.
|
2181
|
|
-- `onlyCancer` is set to TRUE.
|
|
2311
|
+- `finalTime` set to 25000.
|
|
2312
|
+- `onlyCancer` set to TRUE.
|
2182
|
2313
|
- The "Exp" models will stop when population size $> 10^5$.
|
2183
|
2314
|
|
2184
|
2315
|
|
...
|
...
|
@@ -2245,7 +2376,7 @@ iterations. Interestingly, notice that the median final time is close to
|
2245
|
2376
|
10000, so the runs in \@ref(common1) with maximum final time of 5000 would
|
2246
|
2377
|
have had a hard time finishing with `onlyCancer = TRUE`.
|
2247
|
2378
|
|
2248
|
|
-Forcing simulations to "reach cancer", and just random differences between
|
|
2379
|
+Forcing simulations to "reach cancer" and just random differences between
|
2249
|
2380
|
the random fitness landscape also affect the McFL run under `rf12`: final
|
2250
|
2381
|
time is below 5000 and the median number of iterations is about half of
|
2251
|
2382
|
what was above.
|
...
|
...
|
@@ -2259,17 +2390,17 @@ is much smaller.
|
2259
|
2390
|
## Can we use a large number of genes? {#lnum}
|
2260
|
2391
|
|
2261
|
2392
|
Yes. In fact, in OncoSimulR there is no pre-set limit on genome
|
2262
|
|
-size. However, large numbers of genes can lead to unacceptable
|
2263
|
|
-memory usage and/or running time. We discuss several examples next that
|
2264
|
|
-illustrate some of the major issues to consider. Another example
|
|
2393
|
+size. However, large numbers of genes can lead to unacceptably large
|
|
2394
|
+returned object sizes and/or running time. We discuss several examples
|
|
2395
|
+next that illustrate some of the major issues to consider. Another example
|
2265
|
2396
|
with 50,000 genes is shown in section \@ref(mcf50070).
|
2266
|
2397
|
|
2267
|
2398
|
We have seen in \@ref(bench1) and \@ref(common1) that for the Exp model,
|
2268
|
2399
|
benchmark results using `detectionProb` require a lot of care and can be
|
2269
|
|
-misleading. Here, we will fix initial and final population
|
2270
|
|
-sizes. Moreover, to avoid the confounding factor of the `onlyCancer =
|
2271
|
|
-TRUE` argument, we will set it to FALSE, so we measure directly the time
|
2272
|
|
-of individual runs.
|
|
2400
|
+misleading. Here, we will fix initial population sizes (to 500) and all
|
|
2401
|
+final population sizes will be set to $\geq 10^6$. In addition, to avoid
|
|
2402
|
+the confounding factor of the `onlyCancer = TRUE` argument, we will set it
|
|
2403
|
+to FALSE, so we measure directly the time of individual runs.
|
2273
|
2404
|
|
2274
|
2405
|
|
2275
|
2406
|
### Exponential model with 10,000 and 50,000 genes {#exp50000}
|
...
|
...
|
@@ -2277,7 +2408,7 @@ of individual runs.
|
2277
|
2408
|
#### Exponential, 10,000 genes, example 1 {#exp100001}
|
2278
|
2409
|
|
2279
|
2410
|
We will start with 10000 genes and an exponential model, where we
|
2280
|
|
-stop when the population grows over $1e6$ individuals:
|
|
2411
|
+stop when the population grows over $10^6$ individuals:
|
2281
|
2412
|
|
2282
|
2413
|
```{r exp10000, echo = TRUE, eval = FALSE}
|
2283
|
2414
|
ng <- 10000
|
...
|
...
|
@@ -2409,10 +2540,10 @@ print(object.size(e_50000), units = "MB")
|
2409
|
2540
|
```
|
2410
|
2541
|
|
2411
|
2542
|
Of course, simulations now take longer and the size of the returned
|
2412
|
|
-object is over 7 GB (we are keeping over 7000 clones, even if when
|
|
2543
|
+object is over 7 GB (we are keeping more than 7,000 clones, even if when
|
2413
|
2544
|
we prune all those that went extinct).
|
2414
|
2545
|
|
2415
|
|
-### Exponential, example 4: 50,000 genes {#exp50000_2}
|
|
2546
|
+#### Exponential, 50,000 genes, example 2 {#exp50000_2}
|
2416
|
2547
|
|
2417
|
2548
|
What if we had not pruned?
|
2418
|
2549
|
|
...
|
...
|
@@ -2452,10 +2583,10 @@ print(object.size(e_50000np), units = "MB")
|
2452
|
2583
|
|
2453
|
2584
|
```
|
2454
|
2585
|
The main effect is not on execution time but on object size (it has
|
2455
|
|
-grown by 5 GB).
|
|
2586
|
+grown by 5 GB). We are tracking more than 10,000 clones.
|
2456
|
2587
|
|
2457
|
2588
|
|
2458
|
|
-#### Exponential, 50,000 genes, example 2 {#exp50000_3}
|
|
2589
|
+#### Exponential, 50,000 genes, example 3 {#exp50000_3}
|
2459
|
2590
|
|
2460
|
2591
|
What about the `mutationPropGrowth` setting? We will rerun the example in
|
2461
|
2592
|
\@ref(exp500001) leaving `keepEvery = NA` but with the default
|
...
|
...
|
@@ -2512,6 +2643,54 @@ below).
|
2512
|
2643
|
|
2513
|
2644
|
|
2514
|
2645
|
|
|
2646
|
+#### Interlude: where is that 1 GB coming from? {#wheresizefrom}
|
|
2647
|
+
|
|
2648
|
+In section \@ref(exp100001) we have seen an apparently innocuous
|
|
2649
|
+simulation producing a returned object of almost 1 GB. Where is that coming
|
|
2650
|
+from? It means that each simulation produced almost 200 MB of output.
|
|
2651
|
+
|
|
2652
|
+Let us look at one simulation in more detail:
|
|
2653
|
+
|
|
2654
|
+```{r sizedetail, eval = FALSE, echo = TRUE}
|
|
2655
|
+r1 <- oncoSimulIndiv(u,
|
|
2656
|
+ model = "Exp",
|
|
2657
|
+ mu = 1e-7,
|
|
2658
|
+ detectionSize = 1e6,
|
|
2659
|
+ detectionDrivers = NA,
|
|
2660
|
+ detectionProb = NA,
|
|
2661
|
+ keepPhylog = TRUE,
|
|
2662
|
+ onlyCancer = FALSE,
|
|
2663
|
+ mutationPropGrowth = TRUE
|
|
2664
|
+ )
|
|
2665
|
+summary(r1)[c(1, 8)]
|
|
2666
|
+## NumClones FinalTime
|
|
2667
|
+## 1 3887 345
|
|
2668
|
+
|
|
2669
|
+print(object.size(r1), units = "MB")
|
|
2670
|
+## 160 Mb
|
|
2671
|
+
|
|
2672
|
+## Size of the two largest objects inside:
|
|
2673
|
+sizes <- lapply(r1, function(x) object.size(x)/(1024^2))
|
|
2674
|
+sort(unlist(sizes), decreasing = TRUE)[1:2]
|
|
2675
|
+## Genotypes pops.by.time
|
|
2676
|
+## 148.28 10.26
|
|
2677
|
+
|
|
2678
|
+dim(r1$Genotypes)
|
|
2679
|
+## [1] 10000 3887
|
|
2680
|
+```
|
|
2681
|
+
|
|
2682
|
+The above shows the reason: the `Genotypes` matrix is a 10,000 by 3,887
|
|
2683
|
+integer matrix (with a 0 and 1 indicating not-mutated/mutated for each
|
|
2684
|
+gene in each genotype) and in R integers use 4 bytes each. The
|
|
2685
|
+`pops.by.time` matrix is 346 by 3,888 (the 1 in $346 = 345 + 1$ comes from
|
|
2686
|
+starting at 0 and going up to the final time, both included; the 1 in
|
|
2687
|
+$3888 = 3887 + 1$ is from the column of time) double matrix and doubles
|
|
2688
|
+use 8 bytes[^popsbytime].
|
|
2689
|
+
|
|
2690
|
+[^popsbytime]:These matrices do not exist during most of the
|
|
2691
|
+execution of the C++ code; they are generated right before returning
|
|
2692
|
+from the C++ code.
|
|
2693
|
+
|
2515
|
2694
|
|
2516
|
2695
|
### McFarland model with 50,000 genes; the effect of `keepEvery` {#mc50000}
|
2517
|
2696
|
|
...
|
...
|
@@ -2524,7 +2703,8 @@ other settings.
|
2524
|
2703
|
|
2525
|
2704
|
#### McFarland, 50,000 genes, example 1 {#mc50000ex1}
|
2526
|
2705
|
|
2527
|
|
-Let's start with `mutationPropGrowth = FALSE` and `keepEvery = NA`:
|
|
2706
|
+Let's start with `mutationPropGrowth = FALSE` and `keepEvery =
|
|
2707
|
+NA`. Simulations end when population size $\geq 10^6$.
|
2528
|
2708
|
|
2529
|
2709
|
```{r mc50000_1, echo = TRUE, eval = FALSE}
|
2530
|
2710
|
ng <- 50000
|
...
|
...
|
@@ -2602,17 +2782,18 @@ print(object.size(mc_50000_nmpg_k), units = "MB")
|
2602
|
2782
|
## 8101.4 Mb
|
2603
|
2783
|
```
|
2604
|
2784
|
|
2605
|
|
-Computing time increases slightly but the major effect is seen on
|
2606
|
|
-the size of the returned object, that increases by a factor of about
|
2607
|
|
-4x, up to 8 GB, corresponding to the increase in about 4x in the
|
2608
|
|
-number of clones being tracked (see details of where size comes from in
|
|
2785
|
+Computing time increases slightly but the major effect is seen on the size
|
|
2786
|
+of the returned object, that increases by a factor of about 4x, up to 8
|
|
2787
|
+GB, corresponding to the increase in about 4x in the number of clones
|
|
2788
|
+being tracked (see details of where the size of this object comes from in
|
2609
|
2789
|
section \@ref(wheresizefrom)).
|
2610
|
2790
|
|
2611
|
2791
|
|
2612
|
2792
|
#### McFarland, 50,000 genes, example 3 {#mc50000ex3}
|
2613
|
2793
|
|
2614
|
2794
|
We will set `keepEvery = NA` again, but we will now increase
|
2615
|
|
-detection size by a factor of 3:
|
|
2795
|
+detection size by a factor of 3 (so we stop when total population
|
|
2796
|
+size becomes $\geq 3 * 10^6$).
|
2616
|
2797
|
|
2617
|
2798
|
```{r mc50000_popx, echo = TRUE, eval = FALSE}
|
2618
|
2799
|
ng <- 50000
|
...
|
...
|
@@ -2746,15 +2927,15 @@ print(object.size(mc_50000_nmpg_5mu_k), units = "MB")
|
2746
|
2927
|
|
2747
|
2928
|
We have already seen these effects before in section
|
2748
|
2929
|
\@ref(mc50000ex2): using `keepEvery = 1` leads to a slight increase
|
2749
|
|
-in execution time. What is really affected is the size of the returned
|
2750
|
|
-object which increases by a factor of about 3x (and is now over
|
2751
|
|
-20GB). That 3x corresponds, of course, to the increase in the number
|
2752
|
|
-of clones being tracked. This, by the way, also allows us to
|
2753
|
|
-understand the comment above, where we said that in these two cases
|
2754
|
|