Worm numbers

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This page is intended to become a collection ground for useful and interesting numbers about C. elegans biology. These numbers include things such as the average volume and mass (calculated estimates) of an adult hermaphrodite, larval stage, or embryo. Some of these numbers are well established facts whereas others are estimations, with a description of the method for calculating or estimating provided.


The Numbers

Here is a summary table of interesting numbers (many are estimates) pertaining to C. elegans:


The Genome

Size of genome: 100,272,276 bp
%GC Content: 35%
Number of GC base pairs: 35,537,772
%AT Content: 65%
Number of AT base pairs: 64,734,504
Mass of a haploid genome: 103 femtograms (1.03 * 10^-13 grams)
Volume of a haploid genome: 0.1 cubic microns = 0.1 femtoliters = 100 attoliters
Total amount of genomic DNA in an adult hermaphrodite: 360 picograms (3.6 * 10^-10 grams)


Worm Volumes

Volume of an embryo: 30 - 50 picoliters = 30,000 - 50,000 cubic microns = (3*10^-5)-(5*10^-5) cubic millimeters
Volume of an L1 larva: 50 - 200 picoliters = 50,000 - 200,000 cubic microns = (5*10^-5)-(2*10^-4) cubic millimeters
Volume of an L2 larva: 200 - 500 picoliters = 200,000 - 500,000 cubic microns = (2*10^-4)-(5*10^-4) cubic millimeters
Volume of an L3 larva: 500 - 900 picoliters = 500,000 - 900,000 cubic microns = (5*10^-4)-(9*10^-4) cubic millimeters
Volume of an L4 larva: 900 - 2000 picoliters = 900,000 - 2,000,000 cubic microns = (9*10^-4)-(2*10^-3) cubic millimeters
Volume of an adult hermaphrodite: 2 - 6 nanoliters = 2,000,000 - 6,000,000 cubic microns = (2*10^-3)-(6*10^-3) cubic millimeters



Worm Volume

Based on these images from Worm Atlas (www.wormatlas.org):

Adult herm C.elegans2.jpg

Larvae C.elegans.jpg


... where the scale bar represents 100 microns, we can roughly deduce the volume of the embryo, each larval stage worm, and the adult hermaphrodite of C. elegans.


Volume of a single embryo = ~35 picoliters = ~0.000035 cubic millimeters = ~35,000 cubic microns

Volume of a single L1 larva = ~80 picoliters = ~0.000080 cubic millimeters = ~80,000 cubic microns

Volume of a single L2 larva = ~135 picoliters = ~0.000135 cubic millimeters = ~135,000 cubic microns

Volume of a single L3 larva = ~300 picoliters = ~0.0003 cubic millimeters = ~300,000 cubic microns

Volume of a single L4 larva = ~800 picoliters = ~0.0008 cubic millimeters = ~800,000 cubic microns

Volume of a single Adult hermaphrodite = ~2.2 nanoliters = ~0.0022 cubic millimeters = ~2,200,000 cubic microns


This paper (Lozano E. et al (2006) Curr Biol, [1]) finds wild type (N2) adult hermaphrodite worms growing to upwards of 6 nanoliters (0.006 cubic millimeters) [see Table 2, Figure 1A, and Figure 3 of paper]. Another good reference for larval size is (Knight C. et al (2002) Evol Dev, [2]) as pointed out by David Hall (of Worm Atlas) in the WormBase community forums here [3]. See Figure 4 in particular. This has the following ranges for each larval stage:

L1: 50,000 - 200,000 cubic microns

L2: 200,000 - 400,000 cubic microns

L3: 500,000 - 900,000 cubic microns

L4: 900,000 - 2,000,000 cubic microns

Hence, the calculations above appear to be roughly lower limits on the size of each stage.

Worm Mass

Assuming the worm has a density close to that of water (1 gram per milliliter) these are estimates of mass:

Mass of a single Embryo = ~35 nanograms

Mass of a single L1 larva = ~80 nanograms

Mass of a single L2 larva = ~135 nanograms

Mass of a single L3 larva = ~300 nanograms

Mass of a single L4 larva = ~800 nanograms

Mass of a single Adult hermaphrodite = ~2.2 micrograms


Assuming that the entire mass of the worm is roughly 70% water (as with most cells), this brings the dry weight of these to:

Dry weight of a single Embryo = ~11 nanograms

Dry weight of a single L1 larva = ~24 nanograms

Dry weight of a single L2 larva = ~41 nanograms

Dry weight of a single L3 larva = ~90 nanograms

Dry weight of a single L4 larva = ~240 nanograms

Dry weight of a single Adult hermaphrodite = ~660 nanograms


Estimating that about 15% of total mass (50% dry weight) is protein:

Protein mass of a single Embryo = ~5.3 nanograms

Protein mass of a single L1 larva = ~12 nanograms

Protein mass of a single L2 larva = ~20.3 nanograms

Protein mass of a single L3 larva = ~45 nanograms

Protein mass of a single L4 larva = ~120 nanograms

Protein mass of a single Adult hermaphrodite = ~330 nanograms


Estimating that about 1% of total mass (3% dry weight) is RNA:

RNA mass of a single Embryo = ~350 picograms

RNA mass of a single L1 larva = ~800 picograms

RNA mass of a single L2 larva = ~1.35 nanograms

RNA mass of a single L3 larva = ~3 nanograms

RNA mass of a single L4 larva = ~8 nanograms

RNA mass of a single Adult hermaphrodite = ~22 nanograms


and further estimating that about 3% of total RNA is protein-coding mRNA:

mRNA mass of a single Embryo = ~10.5 picograms

mRNA mass of a single L1 larva = ~24 picograms

mRNA mass of a single L2 larva = ~40.5 picograms

mRNA mass of a single L3 larva = ~90 picograms

mRNA mass of a single L4 larva = ~240 picograms

mRNA mass of a single Adult hermaphrodite = ~660 picograms


Molar mass of NMPs:

AMP = 347.2 grams per mole
CMP = 323.2 grams per mole
GMP = 363.2 grams per mole
UMP = 324.2 grams per mole

in polymer form (i.e. minus one water molecule, 18 grams per mole):

AMP = 329.2 grams per mole
CMP = 305.2 grams per mole
GMP = 345.2 grams per mole
UMP = 306.2 grams per mole

Average mass of polymer-NMP = 321.5 grams per mole


Thus, an estimate of the total number of RNA nucleotides (NMPs) in mRNA polymers is:

Number of polymer NMPs of a single Embryo = ~20 billion

Number of polymer NMPs of a single L1 larva = ~45 billion

Number of polymer NMPs of a single L2 larva = ~76 billion

Number of polymer NMPs of a single L3 larva = ~170 billion

Number of polymer NMPs of a single L4 larva = ~450 billion

Number of polymer NMPs of a single Adult hermaphrodite = ~1,236 billion


... and the number of mRNA molecules (assuming an average length of 1000nt):

Number of mRNAs of a single Embryo = ~20 million

Number of mRNAs NMPs of a single L1 larva = ~45 million

Number of mRNAs NMPs of a single L2 larva = ~76 million

Number of mRNAs NMPs of a single L3 larva = ~170 million

Number of mRNAs NMPs of a single L4 larva = ~450 million

Number of mRNAs NMPs of a single Adult hermaphrodite = ~1,236 million

DNA Numbers

From the WS231 release notes of WormBase, the C. elegans genome has the following number of bases:

A 32,367,418
C 17,780,787
G 17,756,985
T 32,367,086

Total 100,272,276

This means that there are 35,537,772 GC base pairs (35.4% of the genome) and 64,734,504 AT base pairs (64.6% of the genome).

Genome Volume

Knowing that a single complete turn of DNA is approximately 3.4 nanometers in length (34 Ångstroms), 2 nanometers in width (20 Ångstroms), and is about 10 base pairs (bp)(and therefore 1 base pair is .34 nanometers long (3.4 Ångstroms)), we can deduce the volume of a single base pair of DNA to be roughly 1 cubic nanometer (1 nm^3):

Assuming a base pair is like a short cylinder with volume:

Volume = (pi)*(radius)^2*(height)

Volume = (~3.14)*(~1nm)^2*(~.34nm)

Volume of 1 base pair = ~1 cubic nanometer

Therefore:

No. of bp -> Volume

1bp -> 1 cubic nanometer
1kb -> 1000 cubic nanometers = 10^-6 cubic microns
1Mb -> 10^6 cubic nanometers = 10^-3 cubic microns
1Gb -> 10^9 cubic nanometers = 1 cubic micron

So, a single haploid genome of C. elegans (~100Mb) would be approximately 0.1 cubic microns and a diploid genome approximately 0.2 cubic microns.
Packed into spheres, these would each be:

Volume of sphere = (4/3)*(pi)*(radius)^3

Haploid genome radius = ~0.29 microns
Haploid genome diameter = ~0.58 microns

Diploid genome radius = ~0.36 microns
Diploid genome diameter = ~0.72 microns

That is the smallest sphere that the haploid and diploid genomes, respectively, could pack into. We are, of course, ignoring proteins, RNA molecules, and any other small molecules, so the cell nuclei must be significantly larger. For polyploid nuclei, like those of the intestine, the nuclei must be substantially larger. So,

Volume of the adult intestinal (32-ploid) genomes = ~3.2 cubic microns
Radius of the adult intestinal (32-ploid) genomes = ~0.91 microns
Diameter of the adult intestinal (32-ploid) genomes = ~1.82 microns

Genome Mass

Molar mass of dNMPs:

dAMP = 331.2 grams per mole
dCMP = 307.2 grams per mole
dGMP = 347.2 grams per mole
dTMP = 320.2 grams per mole

in polymer form (i.e. minus one water molecule, 18 grams per mole):

dAMP = 313.2 grams per mole
dCMP = 289.2 grams per mole
dGMP = 329.2 grams per mole
dTMP = 302.2 grams per mole

Average mass of polymer-dNMP = 308.5 grams per mole

An AT base pair = 615.4 grams per mole
A CG base pair = 618.4 grams per mole

The C. elegans haploid genome is ~100Mb (100,272,276 bp to be exact) with (as noted above) 35,537,772 GC base pairs and 64,734,504 AT base pairs, hence the total molar mass of the genome is:

[AT base pair molar mass]*[No. of AT base pairs] + [CG base pair molar mass]*[No. of CG base pairs]

(615.4g/mol)(64,734,504bp) + (618.4g/mol)(35,537,772bp) = 39,837,613,761.6 + 21,976,558,204.8

Molar mass of C. elegans genome = 61,814,171,966.4 grams per mole

Mass of C. elegans genome = 61,814,171,966.4 / Avagadro's number (6.022 * 10^23)

Mass of C. elegans genome = 103 * 10^-15 grams = 103 femtograms (fg)

There are 959 somatic nuclei in a single adult hermaphrodite, and so there are roughly 197.6 picograms (assuming each somatic nuclei is diploid) of somatic genomic DNA that can be isolated from a single adult hermaphrodite, not including sperm, oocytes or other germline nuclei. This also does not account for the fact that some of the 959 somatic nuclei are polyploid, such as intestinal nuclei.

A single C. elegans hermaphrodite can give rise to approximately 300 progeny from ~300 oocytes and ~300 sperm, ~150 of each from each gonad arm (see Worm Atlas [4]). As a first order approximation of the number of genomes contributed from the (non-somatic) germline, let's say there are 600 haploid genomes (or 300 diploid genomes) present at any given moment in a mature adult hermaphrodite. These genomes would total to about 61.8 picograms of genomic DNA. Added to the total soma-derived genomic DNA gives us a rough grand total of:

Total amount of genomic DNA from a single C. elegans adult hermaphrodite: ~260 picograms

Again, this is not accounting for polyploidy in special cases; therefore this number is likely an underestimate.

Considering the polyploidy of the intestinal cells (30-34 nuclei each with 32 genomes [5]), (let's assume 32 intestinal nuclei for simplicity) and assuming all other somatic nuclei are diploid, that gives us 937 diploid somatic nuclei and 32 intestinal nuclei at 32-ploid. This gives us an updated estimate of:

Total amount of genomic DNA from a single C. elegans adult hermaphrodite: ~360 picograms