Week 10 HW: Advanced Imaging and Measurement Tech
Part 1: Molecular Weight
eGFP Sequence:
Based only on the predicted amino acid sequence of eGFP (see below), what is the calculated molecular weight? You can use an online calculator like the one here: https://web.expasy.org/compute_pi/

Calculate the molecular weight of the eGFP using the adjacent charge state approach described in the recitation. Select two charge states from the BioAccord data and:
Figure 1. Mass Spectrum of intact eGFP protein from the Waters Xevo G3 LC-MS (a mass spectrometer with 30,000 resolution) with individual charge state peaks labeled with values.
1. Determine $z$ for each $(n, n+1)$
- Peak 1: $(m/z)_n = 903.7148$
- Peak 2: $(m/z)_{n+1} = 875.4421$
Calculating $z$:
$$n = \frac{(m/z)_{n+1}}{(m/z)n - (m/z){n+1}}$$
$$n = \frac{875.4421}{903.7148 - 875.4421}$$
$$n = \frac{875.4421}{28.2727} = 30.963$$
- $n = 31$
- $n + 1 = 32$
2. Determine the MW of the protein
We use the relationship between $m/z$, molecular weight ($M$), and charge ($z$):
$$M = z \times (m/z - H)$$
Peak 1 ($z = 31$): $$M = 31 \times (903.7148 - 1.007)$$ $$M = 31 \times 902.7078 = 27983.9418 \text{ Da}$$
Peak 2 ($z = 32$): $$M = 32 \times (875.4421 - 1.007)$$ $$M = 32 \times 874.4351 = 27981.9232 \text{ Da}$$
Average Molecular Weight ($M_{\text{avg}}$):
$$M_{\text{avg}} = \frac{27983.9418 + 27981.9232}{2} = 27982.9325 \text{ Da}$$
3. Calculate the Mass Accuracy
We use the deconvoluted average weight ($M_{\text{estimated}}$) and the predicted theoretical weight ($M_{\text{theoretical}}$).
- $M_{\text{theoretical}} = 27875.41 \text{ Da}$
- $M_{\text{estimated}} = 27982.9325 \text{ Da}$
Absolute Error: $$\text{Absolute Error} = 27982.9325 - 27875.41 = 107.5225 \text{ Da}$$
Relative Accuracy: $$\text{Accuracy} = \frac{|M_{\text{experiment}} - M_{\text{theoretical}}|}{M_{\text{theoretical}}}$$
$$\text{Accuracy} = \frac{107.5225}{27875.41} = 0.003858 \text{ (or } 0.386% \text{)}$$
Homework: Waters Part III — Peptide Mapping - primary structure
We will digest the eGFP protein standard into peptides using trypsin (an enzyme that selectively cleaves the peptide bond after Lysine (K) and Arginine (R) residues. The resulting peptides will be analyzed on the Waters BioAccord LC-MS to measure their molecular weights and fragmented to confirm the amino acid sequence within each peptide – generating a “peptide map”. This process is used to confirm the primary structure of the protein.
There are a variety of tools available online to calculate protein molecular weight and predict a list of peptides generated from a tryptic digest. We will be using tools within the online resource Expasy (the bioinformatics resource portal of the Swiss Institute of Bioinformatics (SIB)) to predict a list of tryptic peptides from eGFP.
How many Lysines (K) and Arginines (R) are in eGFP? Please circle or highlight them in the eGFP sequence given in Waters Part I question 1 above. (Note: adding the sequence to Benchling as an amino acid file and clicking biochemical properties tab will show you a count for each amino acid).

- There are 20 Lysines (K) which constitute 8.1% of the eGFP.
- There are 6 Arginines (R) which constitute 2.4% of the eGFP.
How many peptides will be generated from tryptic digestion of eGFP? a. Navigate to https://web.expasy.org/peptide_mass/ b. Copy/paste the sequence above into the input box in the PeptideMass tool to generate expected list of peptides. c. Use Figure 4 below as a guide for the relevant parameters to predict peptides from eGFP.

d. Click “Perform the Cleavage” button in the PeptideMass tool and report the number of peptides generated when using trypsin to perform the digest.

Homework: Waters Part IV — Oligomers
Calculate Expected Masses for Each Species
Using the polypeptide subunit masses from Table 1:
- 7FU = 340 kDa
- 8FU = 400 kDa and the definition that: - Decamer = 10 subunits
the expected masses are:
| Oligomeric Species | Subunit Mass | # Subunits | Calculated Mass (polypeptide only) |
|---|---|---|---|
| 7FU Decamer | 340 kDa | 10 | 3,400 kDa = 3.4 MDa |
| 8FU Didecamer | 400 kDa | 20 | 8,000 kDa = 8.0 MDa |
| 8FU 3-Decamer | 400 kDa | 30 | 12,000 kDa = 12.0 MDa |
| 8FU 4-Decamer | 400 kDa | 40 | 16,000 kDa = 16.0 MDa |

Homework: Waters Part V — Did I make GFP?
N/A