EnvZ/HBEGF Receptor Modelling
The chimeric receptor that we are working on is based from two different integral membrane proteins, EnvZ and HBEGF. EnvZ and HBEGF are basically a fully functional protein receptor that can be found in Escherichia coli and human respectively. Our chimeric receptor will structurally consist of EnvZ structure as the base structure and HBEGF as part of periplasmic domain as well as the Diphtheria Toxin Binding Region.
In order to model the EnvZ/HEBGF chimeric receptor, we should gather information about the amino acid sequence from both of the EnvZ and HBEGF. We use information from online database, Uniprot1, and gather the FASTA (P0AEJ4).
To determine on which residue of EnvZ we should insert HBEGF in, we run secondary structure prediction of EnvZ via NetSurfP2. Then we predict its topography using TOPCONS webserver3. The topography data from both TOPCONS3 and Uniport1 database give a very similar result. Thus, using the topography data and the secondary structure information, we predict the sequence of EnvZ graphically as shown below.
On EnvZ, that consist of 450 amino acids, we now know that the periplasmic region is around 36th-159th residue. Therefore, if we want to insert the HBEGF, we have to insert it on this particular region. In order to determine the specific region, we do some literature research and found that the region around 80th-146th residue is good to be swapped with insert.4 On HBEGF, we determine the region for chimeric by doing literature research.5 We then come out with 27 residues from HBEGF including the important residue for Diphtheria Toxin (DT) binding, the 141th residue.1
We replace 67 residues on EnvZ and swapped it with 27 residues form HBEGF, thus making it a chimeric receptor with 410 amino acids.
After designing the chimeric FASTA, for characterization and protein purification, His-tag is used, thus the insertion of His-tag to the sequence is essential. Therefore, we conduct secondary structure prediction via NetSurfP2 to assess the coiled structure and accessibility of the protein. To assess the coiled structure, we choose the C terminal side, 410th residue, to insert His-tag because it has a high probability to form coiled structure.6 We also assess the accessibility of the protein by predicting its exposure relative to the chimeric protein surface. The result is shown by the table below.
Amino Acid | N | RSA | Accesibility | ASA | Probability of Coil |
---|---|---|---|---|---|
K | 408 | 0.736873388 | Exposed | 152 | 0.984208047 |
E | 409 | 0.832562804 | Exposed | 145 | 0.992103398 |
G | 410 | 0.924472272 | Exposed | 73 | 0.999899507 |
RSA: relative solvent accessibility; ASA: accessible surface area
To model the functional receptor protein, one has to assess the topography of the receptor protein. We assess the topography via TOPCONS3 and PHYRE27. Both of them have a very similar outcome which has been summarized into the picture below.
To model the 3D structure of the chimeric protein, we use homology modeling and submit our chimeric FASTA to I-TASSER.8 Unfortunately, the result of the periplasmic domain is not very favorable. This could happen because the periplasmic domain has not been determined yet, both in secondary and tertiary structure. In collaboration with researcher Didik Huswo, we conduct the periplasmic domain by ab initio via QUARK9, then merge it to form a full 3D model by CHIMERA10. Then we predict the orientation via OPM MEMBRANE11. The model is shown by the picture below via pyMOL12.
Stereochemical Parameter | No. of data pts | Parameter value | Typical value | Band width | No. of band widths from mean | Status |
---|---|---|---|---|---|---|
Percentage residues in A,B,L | 355 | 86.2 | 88.2 | 10 | -0.2 | INSIDE |
Bad contacts/100 residues | 0 | 0 | 1 | 10 | -0.1 | INSIDE |
Zeta angle SD | 378 | 1.9 | 3.1 | 1.6 | -0.7 | INSIDE |
H-bond energy SD | 284 | 0.7 | 0.7 | 0.2 | 0 | INSIDE |
Overall G-factor | 410 | -0.1 | -0.2 | 0.3 | 0.3 | INSIDE |
Diphtheria Toxin Modeling
What is Diphtheria Toxin?
Diphtheria toxin belongs to the bifunctional A–B toxins (figure below). Portion “A” mediates the enzymatic activity responsible for halting protein synthesis in the target cell while portion “B” binds to a cell receptor and mediates the translocation of the A chain into the cytosol.15
Toxin type | Source | Toxin | Target | Mechanism | Effects |
---|---|---|---|---|---|
A-B type toxins | Clostridium diphtheriae | Diphtheria toxin | Many cell types | Inhibits release of inhibitory neurotransmitters ADP ribosylation of EF-2 | Myopathy, polyneuropathy |
Acidication of the endocytic vesicle induces a conformational change in the enclosed holotoxin, enabling the A subunit to traverse the membrane and reach its cyto- plasmic target. The A subunit of diphtheria toxin catalyzes ADP ribo- sylation of the elongation factor-2 (EF-2), inactivating it.15
How Do We Counter Diphtheria Toxin?
First, we must take a look of Diphtheria Toxin (DiphTox) synthesis when it is already develop the ADP-Ribosyl Transfer which has explained before.
In response to synthesis of diphteria toxin, one defined step to get rids of diphteria toxin is to eliminate the synthesis process with some alternatives are listed below.
The measurement of the rate which several batches of toxin catalyzes the ADP ribosylation of transferase II in vitro. We find that their specific enzyme activities vary considerably according to the portion of “nicked” toxin for the toxin to intact from Fragments A and B which is the main fragment of diphtheria toxin (DT). Intact toxin is converted to nicked toxin during a short inc
The essential point is that a bond that already cleaved somewhere between the active site and the part of the molecule can enable proteolysis by addition of trypsin from the parent cells, or presumably by other enzymes.17 According to synthesis process from previous explanation, one can infer that cleavage can enable iron molecules to repress the transcription of DT.
Validation Method
For DiphTox modelling, we simply determine the root sum of square (R2) for each regressed data within each part. If the R2 result is close to 1, the regressed data which expresses the Trends in concentration data or the results of expressions on independent variables such as time are valid and can be used for our modelling
Below is the structural modelling of our diphtheria toxin. It consists of 56 amino acid.
Kinetic Modeling
Better improvement and developments are related to a better understanding of the living system which we want to engineer. With this approach, we strive to predict the performance of our ligand-receptor binding, transmembrane interaction, and inner membrane biochemical reaction of our project. Regarding the quantitative behavior and prediction of those aspects mentioned before, we analyze the protein with the application of mathematics and engineering. Focusing on kinetics study and assumptions related to it, we can estimate overall performance such as rates and effects of variables that affect the diphtheria toxin (Diphtox) detection performance.
As the output of this modeling, evaluation of designed protein's kinetic regarding their mechanism and principal from literature. Mass transportation principles, such as Langmuir-Hill or Michaelis-Menten equation, will be loosely applied and adequately correlated for the resulting models. Mathematical models and non-linear regression will play roles for the determination of process specification of biochemical reaction protein. This approach will be followed by feasibility & analysis for the protein to be applicated for the synthesized protein’s function and enlighten some parts of our project.
Principal and Mechanism Overview
As we mentioned before, we develop an effective application of diphtheria toxin detection from human saliva with addition of chimeric protein through spectrophotometry to see color change to green which indicates there are DiphTox detected within body fluid sample of human patients. Visual detection is widely used and claimed to be effective in real time detection especially in pre-phase of diphtheria.
Beforehand, to understand to what extent our detection time & system effectiveness, we are focusing on engineered receptor and binding sector. Our focuses are mentioned in scheme below.
Receptor-Ligand Binding
Calculation of Reaction Rates
Reaction rates calculation of ligand-receptor system involves association & dissociation rates based on manipulated variable such as concentration in response to time. Therefore, these following equations are applied. The surface concentration Gamma (G), for a protein can be calculated by the following formula: One Response Unit (RU) in the Blacore 2000/3000 machine corresponds to a surface coverage of 10-6 g m-2 for a typical protein. A 100 kDa protein generating a response of 1000 RU, corresponds to a surface coverage of 10-8 mols-2
Response unit, which is the symbol for reaction rate's response that is given directly by the response machine will first be converted into gamma (surface concentration), which will then be converted into concentration of complex with the following formulas below. We note that we use the initial suggestion of Free Ligand Concentration [L] to estimate the free ligand-bound [L] to the receptor using complex concentration. kon indicates association constant and koff indicates dissociation constant.
After the estimation, we can calculate the overall binding rates with the formula described below. This formula is derived from principal of mass-transport based reaction rates of reaction's constituent.
Reaction rates calculation of ligand-receptor system involves association & dissociation rates based on manipulated variable such as concentration in response to time. Therefore, these following equations are applied. The surface concentration Gamma (G), for a protein can be calculated by the following formula: One Response Unit (RU) in the Blacore 2000/3000 machine corresponds to a surface coverage of 10-6 g m-2 for a typical protein. A 100 kDa protein generating a response of 1000 RU, corresponds to a surface coverage of 10-8 mols-2
Response unit, which is the symbol for reaction rate's response that is given directly by the response machine will first be converted into gamma (surface concentration), which will then be converted into concentration of complex with the following formulas below. We note that we use the initial suggestion of Free Ligand Concentration [L] to estimate the free ligand-bound [L] to the receptor using complex concentration. kon indicates association constant and koff indicates dissociation constant.
After the estimation, we can calculate the overall binding rates with the formula described below. This formula is derived from principal of mass-transport based reaction rates of reaction's constituent.
HB-EGF Receptor Activity
Binding of immobilized human HB-EGF with diphtheria toxin response unit versus time. It can be estimated those response from variation of diphtheria toxin concentration.18
Therefore, the prediction of both association rates and dissociation rates are shown below, by comparing our chimeric protein’s kinetics with literature, the x-axis represents time, while the y-axis represents response in Response Unit (RU).
Association Rates
Variables | Value |
---|---|
Initial Concentration (μM) | 1 |
Mr | 58.34 |
Molecular Mass | 70,000 |
Binding Constant | 2.8 x 10-8 |
Assumed Complex Concentration (μM) | 1 |
Association Constant (1/M.s) | 6.9 x 104 |
Dissociation Constant (1/s) | 1.9 x 10-3 |
Time (s) | Response Unit | Gamma | Surface Density | Binding Sites | Association Rates (M/s) |
---|---|---|---|---|---|
23 | 17.767 | 3.04537E-07 | 1.77667E-05 | 2.5381E-10 | 7.88E+02 |
26 | 33.3333 | 5.71363E-07 | 3.33333E-05 | 4.7619E-10 | 4.20E+02 |
29 | 51.667 | 8.85613E-07 | 5.16667E-05 | 7.38095E-10 | 2.71E+02 |
32 | 53.983 | 9.25323E-07 | 5.39833E-05 | 7.7119E-10 | 2.59E+02 |
35 | 62.667 | 1.07416E-06 | 6.26667E-05 | 8.95238E-10 | 2.23E+02 |
38 | 77.333 | 1.32556E-06 | 7.73333E-05 | 1.10476E-09 | 1.81E+02 |
41 | 86.667 | 1.48554E-06 | 8.66667E-05 | 1.2381E-09 | 1.62E+02 |
44 | 98.333 | 1.68552E-06 | 9.83333E-05 | 1.40476E-09 | 1.42E+02 |
47 | 113.333 | 1.94264E-06 | 0.000113333 | 1.61905E-09 | 1.24E+02 |
50 | 124.667 | 2.1369E-06 | 0.000124667 | 1.78095E-09 | 1.12E+02 |
53 | 129.333 | 2.21689E-06 | 0.000129333 | 1.84762E-09 | 1.08E+02 |
56 | 139.000 | 2.38258E-06 | 0.000139 | 1.98571E-09 | 1.01E+02 |
Dissociation Rates
Time (s) | Response Unit | Gamma | Surface Density | Binding Sites | Dissociation Rates (M/s) |
---|---|---|---|---|---|
70 | 160 | 2.74254E-06 | 0.00016 | 2.28571E-09 | -8.75E+01 |
90 | 152.6666667 | 2.61684E-06 | 0.000152667 | 2.18095E-09 | -9.17E+01 |
110 | 148 | 2.53685E-06 | 0.000148 | 2.11429E-09 | -9.46E+01 |
130 | 143.3333333 | 2.45686E-06 | 0.000143333 | 2.04762E-09 | -9.77E+01 |
150 | 134.3333333 | 2.30259E-06 | 0.000134333 | 1.91905E-09 | -1.04E+02 |
170 | 131.6666667 | 2.25688E-06 | 0.000131667 | 1.88095E-09 | -1.06E+02 |
190 | 123.3333333 | 2.11404E-06 | 0.000123333 | 1.7619E-09 | -1.14E+02 |
210 | 119.6666667 | 2.05119E-06 | 0.000119667 | 1.70952E-09 | -1.17E+02 |
Response unit generated by the association and dissociation rates in response to time used from literature assumed from DT concentration of 666.67 ( which is defined as the average concentration of DT varied within the literature. This consideration is selected due to the lowest 95% confidence level regressed to estimate the association and dissociation constant under this concentration assumed. This results in the highest accuracy constant obtained from data fitting in the literature due to low data distribution potential. On the other hand, data validation can
Rate Based on Concentration
The figure/literature used is still the same as the association/dissociation rates above; therefore, by remodelling and regressing the data based on the literature, one can predict the association and dissociation rates on certain times, with the concentration of the toxin as the independent variable, which is shown at the interactive Excel with this interface:
Variable | Value |
---|---|
Assumed Time | 60 sec |
Mr | 58.34 |
Molecular Mass | 70,000 |
Binding Constant | 2.8 x 10-8 |
Association Constant | 6.9 x 104 |
Dissociation Constant | 1.9 x -3 |
Association and Dissociation Response Unit and Concentration of Natural Diphtheria Toxin and HB-EHG Binding
Association R.U. | Dissociation R.U. | Concentration (M) |
---|---|---|
116 | 120 | 0.4 |
120 | 126 | 0.5 |
146 | 149 | 0.6 |
159 | 155 | 0.7 |
171 | 168 | 0.8 |
187 | 185 | 1 |
Concentration | Dissociation R.U. | Gamma | Surface Density | Binding Sites | [R] (M) | [L] (Assumed) | Complex Concentration | Dissociation Rates (M/s) |
---|---|---|---|---|---|---|---|---|
153.2 | 2.62599E-06 | 0.000153 | 2.18857E-09 | 2.18857E-05 | 0.001156757 | 3.61E-14 | 9.14E+01 | |
0.67 | Association R.U. | Gamma | Surface Density | Binding Sites | [R] (M) | [L] (Assumed) | Complex Concentration | Association Rates (M/s) |
155.1 | 2.65855E-06 | 0.000155 | 2.21571E-09 | 2.21571E-05 | 0.001142587 | 3.52E-14 | 9.03E+01 |
The programmed excel will calculate the reaction rates just by inserting desired concentration of our receptor with Response Unit determined before by interpolation.
Effects of pH
Based on thoughput literature review, to estimate the effect of pH to DT binding to vero cells can be studied from Counts per Minute (CPM)19below
Based on the graph above, above, it can be assumed that the best temperature for diphtheria binding is 4°C. Assumed that the chosen temperature is 4oC, the regression model for said temperature for graph of time versus reaction rate, is shown below (at toxin concentration of 0.06 μM). All of the data and assumptions are based on journal.
Time (hour) | dC/dt (μM/min) |
---|---|
0.01 | 888.8888889 |
1 | 5142.857143 |
2 | 8800 |
3 | 12100 |
4 | 14400 |
5 | 15333.33333 |
6 | 15667 |
7 | 15667 |
8 | 16000 |
The proposed model will follow arbitrary model based on Hill-Langmuir model, which is shown below:
Our team formulated models (based on utilization of Polymath 6.0 software) based on that with trial and error fit to the data, and the best fitted model would be:
Validation for Model Parameter
Variable | Value | 95% Confidence Interval |
---|---|---|
K | 1.895 | 0.207 |
Precision
Variable | Value |
---|---|
R2 | 0.9917904 |
Radj | 0.9906176 |
RMSD | 164.3159 |
Variance | 3.12E+05 |
General Variance
Variable | Value |
---|---|
Sample size | 9 |
Model variance | 2 |
Independent variable | 1 |
Iterations | 7 |
Effects of Temperature
EnVz Binding
The Escherichia coli EnvZ/OmpR two-component system (TCS) is an extensively studied signal transduction system that has been implicated in the regulation of over 100 genes in response to changes in the osmotic milieu of the cell.In this TCS, the sensory histidine kinase (HK)
EnvZ, autophosphorylates a conserved histidine residue and the phosphoryl group is subsequently transferred to a specific aspartic acid in the N-terminal domain of the response regulator (RR), OmpR. Regulation of the transcriptional activity of OmpR is mediated by strict control of the cellular level of phosphorylated OmpR (OmpR~P) through the kinase and potentially the OmpR phosphatase activities of EnvZ 24
The plotted result has expressed by graph below
This finding suggests either that the assay is causing hydrolysis of OmpR~P, resulting in a smaller amount of OmpR~P being observed than is present in the cell, or that EnvZ-mediated phosphatase activity is not the only mechanism regulating OmpR phosphorylation in the cell. That also show some indication that the effects of stimuli on OmpR phosphorylation are directly related to the sensory HK EnvZ. The low level of OmpR phosphorylation observed in the absence of a cognate HK is likely due to nonspecific phosphorylation from small-molecule phosphodonors or from noncognate HK
Scheme Analysis
The above findings argue against previously proposed models for the role of phosphorylation in OmpR–DNA interactions (Schemes B and C). What remains to be determined, however, is whether data for OmpR support the standard model of phosphorylation-mediated dimerization enhancing DNA binding Scheme A). The ITC and SV- analytical ultracentrifugation (AUC) studies presented above indicate that there is no detectable Binding of monomeric OmpR to DNA. If the model in Scheme C is correct, then OmpR dimers must be able to form in solution and subsequently become stabilized by the presence of a DNA target sequence
Intramembrane OmpR Phosphorylation
To estimate the quantity changes every substance involved within the phosphorylation, we need to define every non-elementary reaction represented by step-by-step interactions between molecules. Here we define those non-elementary reactions which are modeled by us.
For instances, the modeled reactions need specific rate constant based on literature we reviewed. We consider using the bifunctional phosphorylation due to continuous OmpR phosphorylated by EnVz~P followed by dephosphorylation of RR~P by EnVz-HBEGF chimeric. This scheme is the most realistic scheme due to the bistability of our chimeric receptor to effect the effector of phosphorylation reaction. The T7 Promoter will be affected due to this bistability and result in continuous signal induction to produce gfp for bioluminescence.
The bistable term means that every defined time to structurally defined molecules possessing two distinct functional groups to bring about new reactivity and/or selectivity in a reaction of interest.
From the concept explained above, we can simulate the mass action type reaction with 1st order. The simulation is processed with SIMBIOLOGY function in MATLAB software. The model network is attached below.
SK defined by EnVz as “sensor kinase” and RR defined by OmpR as “Receptor Regulator” Environmental signals may modulate the phosphorylation state of sensor kinases (SK). The phosphorylated SK transfers phosphate (P) to its cognate response regulator (RR), which causes physiological response to the signal. Frequently, the SK is bifunctional and, when unphosphorylated, it is also capable of dephosphorylating the RR. The phosphatase activity may also be modulated by environmental signals.
Using the EnvZ/ OmpR system as an example, we constructed mathematical models to examine the steady-state and kinetic properties of the network. Mathematical modelling reveals that the Two Component System (TCS) can show bistable behaviour for a given range of parameter values if unphosphorylated SK and RR form a dead-end complex that prevents SK autophosphorylation.21
For non-elementary reactions mentioned above, we will conduct the mass action kinetic simulation with each specimen to estimate the effect of reaction to concentration according to time. The mass action rules (left) and the equations generated by mass action with steady state approaches (right) are attached and listed below
After we propose the mass action equation above, we input the constant value of each non-elementary reaction steps with value obtained from Igoshin et al.21 The input processes are implemented with each reaction as we attach below15
Assuming that EnVz has 10 molecular units defined by Avogadro Number, molarity of ENVz can be determined by step explained below:
The OmpR has 3500 molecules so the molarity can be estimated to be 6 mikroM based on simulation attached below. Phosphorilated OmpR has 10% concentration of total OmpR which result in good initial phosphorilation result.20
Receptor-Ligand Docking
The need to model the structural modelling of our chimeric receptor and the diphtheria toxin is basically for their usage in molecular docking. The molecular docking become important because it could predict on how our molecule will bind to each other. This docking also very important our project because we are currently working on a chimeric receptor which is a fusion protein that no one ever built. So, it is really important for us to at least know that this chimeric receptor would bind to the diphtheria toxin.
For the molecular docking, we use Cluspro22 to calculate the total energy of the system. The basic concept of interaction modelling is that the protein will be bound to each other well if it causes the ‘environment’ energy (termed by E parameter; calculated by the formula below) being lowered down.
E = 0.4Erep + -0.40Eatt + 600EelecDARS
Note: Erep and Eattr denote as repulsive and attractive contributions to the van der Waals interaction energy. Additionally, Eelec means an electrostatic energy that occur during both protein interactions. EDARS is a pairwise structure-based potential constructed by the Decoys of the Reference State (DARS) approach, and it primarily represents desolvation contributions, i.e., the free energy changes due to the removal of the water molecules from the interface.
The analysis is shown by the table below.
Receptor | Cluster | Representative | Weighted Score |
---|---|---|---|
Chimeric | 0 | Center | -1226.3 |
Lowest Energy | -1412.7 | ||
HBEGF wt | 0 | Center | -1190.8 |
Lowest Energy | -1353.7 |
The data shown above represent the predicted energy of the system made by our system. From the data, we could conclude that the chimeric receptor could bind to the diphtheria toxin as good as or even better than the HBEGF. This could happen because the system's total energy represents a number that is more negative than the chimeric, both on the center and lowest energy calculation. It means that our chimeric model could bind to diphtheria toxin.
To convince us about our system docking mechanism, we do further analyses regarding the docking by visualizing it on Molecular Operating Environment (MOE)23. We calculate the bonding between the ligand and the receptor. We compare between chimeric system and the native system. The result of the chimeric system is shown by visualization below.
The bond analysis is of the chimeric system is shown by the table below.
Ligand | Residue | Type | Score | Distance |
---|---|---|---|---|
H 7125 | LEU 64 | H-don | 33.40% | 2.06 |
H 6867 | GLU 79 | H-don | 17.90% | 2.61 |
H 7186 | GLU 79 | H-don | 83.00% | 1.92 |
H 6782 | GLU 84 | H-don | 38.50% | 1.38 |
H 6799 | GLU 84 | H-don | 26.50% | 1.91 |
O 7072 | GLN 69 | H-acc | 44.40% | 2.57 |
O 7174 | ARG 78 | H-acc | 15.50% | 2.84 |
O 6866 | LYS 83 | H-acc | 99.50% | 2.28 |
O 6837 | ARG 86 | H-acc | 21.40% | 2.72 |
The result of the native (wildtype) system is shown by visualization below.
The bond analysis is of the chimeric system is shown by the table below.
Ligand | Residue | Type | Score | Distance |
---|---|---|---|---|
H 3509 | ASP 114 | H-don | 22.80% | 0.96 |
H 4059 | CYS 116 | H-don | 25.70% | 2.75 |
H 3605 | LYS 111 | H-acc | 17.10% | 3.13 |
O 3615 | LYS 111 | H-acc | 66.00% | 2.34 |
O 3531 | LYS 113 | H-acc | 56.20% | 2.71 |
O 3591 | ARG 128 | H-acc | 14.50% | 1.97 |
O 3785 | ARG 128 | H-acc | 34.80% | 2.5 |
O 3786 | ARG 142 | H-acc | 20.60% | 2.63 |
Based on the visualization and bonding data we can assess the docking mechanism on both the chimeric receptor and native receptor (HBEGF). We could assess it from the score of each bonding. If we assess the bonding score of chimeric receptor and native receptor, it is clear that bonding score of chimeric receptor is superior than native receptor on which the maximum value is 99,5%. We assume that this could happen because of the accessibility of the amino acids of each protein. This result also coherent with the result we predict on Cluspro22. Thus, these results allow us to conclude that the chimeric receptor that we construct is valid enough to done such a system that could bind to diphtheria toxin.
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