Overview
Modeling is a pivotal tool for understanding complex biological systems, it serves not only as a means to predict or interpret experimental data but also as a bridge for designing experiments and comprehending biological processes. In our project, we have deepened our understanding of the v8 protease mechanism and optimized our experimental design by constructing and analyzing models. Modeling also enhances the discovery of effective therapeutic agents and accelerates our experimental approach.
Model 1: Ordinary Differential Equations (ODE)
Our first model employs Ordinary Differential Equations (ODEs) to simulate the expression levels of the v8 protease and key components within the flipGFP system, specifically focusing on β1-9, β10-E5-β11-K5. This model is crucial for understanding the dynamics of protein expression and its impact on receptor cleavage. By using ODEs, we can predict the behavior of these proteins in E.coli , which aids in the design of our therapeutic interventions.
Model 2: Molecular Simulation
For our second model, we utilized Homology Modeling and Molecular Dynamics techniques. Initially, we performed homology modeling to obtain the structure of β10-E5-β11-K5, and then used AlphaFold 2 to predict the structure of β1-β9. This step was followed by protein preparation (using Schrodinger) and molecular dynamics simulation (using GROMACS), which provided insights into the protein’s behavior at the atomic level. This model is instrumental in understanding the flip-GFP system.
Model 3: Relative Fluorescence Model
The third model, which is the Relative Fluorescence Model, was developed to quantify the relationship between relative fluorescence and time, for relative fluorescence intensity is a function of the concentration of flipCherrysf while the concentration of flipCherrysf is also a function of time. By implying this model, we are able to predict the change of fluorescence intensity with time and examine if the self-packing ODE model is correct.
Model 4: Virtual Screening
Our final model involves Virtual Screening, where we searched the ChemDiv library for small molecules that can inhibit the v8 protease. This in silico approach allows us to narrow down potential candidates without the need for laborious and costly experimental trials. The model’s output guides our experimental design by predicting which compounds are most likely to be effective inhibitors.
ODE
1. Description of the system
In our experiment, we express three proteins in E.coli, namely V8 protease, beta1-9, and beta10-11. When the bacteria started protein expression, V8 protease cleaved beta10-11 into bata10-11cleavaged, and then bata1-9 and beta10-11cleavaged self-assembled into Flipcherry. Among them, the analysis of metabolism of these three proteins and their interaction is of great importance. Therefore, we use ordinary differential equation model to simulate and analyze the metabolism and interaction of these three proteins. The metabolic equations of these three proteins is a function of the concentration of the protein itself and the mRNA, which is a little bit complicated.1
An alternative model can be obtained by assuming that the mRNA dynamics are extremely fast when compared to the protein dynamics and hence reach their equilibrium instantly. Therefore, the dynamics can be described in just 1 variables, namely the concentration of protein.
The interactions among these proteins can be described as the following chemical formulas.
After V8 protease can cut beta1-9 into beta1-9cut, the structure of beta1-9cut would alter. This process can be described by Hill function mathematically. After this, beta1-9cut combines with beta10-11 to form Flipcherry by self-assembling, which can be considered as a reversible chemical reaction.
We also make some assumptions to build ODE model.
The dynamics of mRNA is extremely fast.
The degradation of b10-11-tev-cleavaged is slow
The self-packing of Flipcherry can be considered as a standard reversible reaction.
Neglect special effect and the concentration of each component is equal everywhere.
Therefore, we have the ODE models as following.