| Literature DB >> 34991453 |
Vi Ngoc-Nha Tran1,2, Alireza Shams3, Sinan Ascioglu4, Antal Martinecz5,6, Jingyi Liang5, Fabrizio Clarelli5, Rafal Mostowy7,8, Ted Cohen9, Pia Abel Zur Wiesch5,10,11,6,12.
Abstract
BACKGROUND: As antibiotic resistance creates a significant global health threat, we need not only to accelerate the development of novel antibiotics but also to develop better treatment strategies using existing drugs to improve their efficacy and prevent the selection of further resistance. We require new tools to rationally design dosing regimens from data collected in early phases of antibiotic and dosing development. Mathematical models such as mechanistic pharmacodynamic drug-target binding explain mechanistic details of how the given drug concentration affects its targeted bacteria. However, there are no available tools in the literature that allow non-quantitative scientists to develop computational models to simulate antibiotic-target binding and its effects on bacteria.Entities:
Keywords: Antibiotic; Binding kinetics; Computational model; Pharmacodynamics; Pharmacokinetics; Web-based tool
Mesh:
Substances:
Year: 2022 PMID: 34991453 PMCID: PMC8734216 DOI: 10.1186/s12859-021-04536-3
Source DB: PubMed Journal: BMC Bioinformatics ISSN: 1471-2105 Impact factor: 3.169
Model-parameter values when using Rifampicin in TB patients. These values are identified from the literature
| Parameter | Description | Unit | Value | References |
|---|---|---|---|---|
| Antibiotic concentration | mg/L | e.g., 5 mg/L | Measured/external source | |
| Starting population | Number of bacteria | Assumption | ||
| Target molecules | Molecules | 100 | Assumption | |
| Maximum death rate | [ | |||
| Maximum replication rate | [ | |||
| Killing threshold | 99 | From | ||
| Replication threshold | 98 | From | ||
| Binding rate | [ | |||
| Unbinding rate | 0.001284 | [ | ||
| Drug molecular weight | g/mol | 822.94 | [ | |
| Carrying capacity | Bacteria/ml | [ | ||
| Intracellular volume | L/bacterial cell | [ | ||
| Minimum inhibitory concentration | mg/L | 0.4 | [ |
Fig. 1Bacterial population predicted by the extended vCOMBAT model over time. The three diagrams display the bacterial population with different simulated treatment length and dosing strategies when using Rifampicin in TB patients. The model-parameter values are taken from Table 1. The resulting graphs show that (a) with a single dose of Rifampicin (600 mg), the bacteria population decreases and then regrows approximately after day two and (b) with repeated doses of Rifampicin daily, the bacterial population keeps being decreased through 4 days and (c) the bacterial population over the first 30 min of the simulated treatment for both dosing strategies in (a) and (b). The x-axis shows the simulated treatment length in hours or minutes. The y-axis shows the resulting bacterial population over the treatment time. The percent.bound legends representing the sub-populations which have from 0 to 100% of bound targets are depicted by different colors displayed in (d)
Fig. 2The comparison of vCOMBAT model and the traditional model regarding the bacterial population after treating TB patients with Rifampicin over 4 days. Both the vCOMBAT model and the traditional model [24] use the supplied drug concentration data from the compartmental pharmacokinetic model [25]. In this diagram, the x-axis shows the simulated treatment length (days). The y-axis depicts the total bacterial population throughout the treatment duration. The green and blue lines are the total bacterial population simulated by the vCOMBAT model with repeated doses and a single dose, respectively. The orange and yellow lines are the total bacterial population simulated by the traditional pharmacodynamic model [24] with repeated doses and a single dose, respectively. The bacterial population by the vCOMBAT model has a relapse that occurred later than the population by the traditional model due to the post-antibiotic effect
Model-parameter values of the three test cases used for model validation and performance analysis
| Parameter | Testcase 1 | Testcase 2 | Testcase 3 |
|---|---|---|---|
| Starting population | |||
| Initial antibiotic level (mol/cell) | |||
| Simulated treatment length (s) | 86400 | 86400 | 86400 |
| Target molecules | 100 | 100 | 100 |
| Maximum kill rate | 0 | 0.001 | 0.001 |
| Killing threshold | 50 | 60 | 60 |
| Replication threshold | 50 | 50 | 50 |
| Maximum replication rate | 0 | 0.00025 | 0.00025 |
| Binding rate | 1 | 1 | 1 |
| Unbinding rate | 0.01 | 0.01 | 0.01 |
| Drug Molecular Weight | 555.5 | 555.5 | 555.5 |
| Carrying capacity | |||
| Intracellular volume |
Fig. 3Model validation by comparing the result from the original model implemented in R and the extended model implemented in C. The three test cases were designed with different model-parameter values from Table 2 and scenarios. Test case 1 has no growth and death of bacteria. Test case 2 has the growth and death of bacteria. In test case 3, the initial dose of antibiotic is kept as the one in test case 2, but the initial number of bacteria is instead of as in test case 2. In (a), the x-axis shows the simulated treatment length in 60 min. The y-axis shows the bacteria population over the treatment length. There are 101 stacked areas representing the bacterial population which has 0 to 100% of bound targets. The percent bound legends are depicted by a range of different colors. Since the external concentration input for the extended model is from the output of the original model, we expect that the two models provide similar outputs. The results show that for all three test cases, model behaviors of the original model and the extended model are similar in terms of the bacterial population and percentage bound target. In both models, the results also demonstrate the effect of model parameters such as death/growth rate, initial antibiotic level, and initial population on the final population. In test case 3, the extended model predicts an initial peak for some subpopulations due to the difference of drug-concentration profiles. I.e., the extended model is supplied with concrete values of drug concentration while the original model calculated the continuous drug concentration values at every time step. The plot (b) shows the killing curve assumed for the models, where , are the maximum replication rate and replication threshold, respectively; , are the death rate and killing threshold, respectively. In (b), the y-axis is the replication/death rate while the x-axis is the percentage of bound target. The more targets in the bacteria are bound, the slower rate that bacteria replicates with until replication threshold . When the percentage of bound target reaches killing threshold , the death rate becomes
Fig. 4Performance comparison of the original model implemented in programming language R, the original model in C, and the extended model implemented in C. The x-axis shows the simulated treatment length in hours. The y-axis shows the runtime in seconds to complete the simulation. Each experiment (i.e., test case 2 with different simulated treatment lengths (i.e., 15 min, 1 h, 12 h, and 24 h)) is run at least three times and their error bars represent runtime variability. The model-parameter values of experiments are from Table 2. The resulting graph shows that the computational performance of the model is improved significantly in the C environment. The extended model in C environment has the shortest computation time
Fig. 5Interactive web-based tool vCOMBAT for visualizing bacterial population, antibiotic concentration, and complex bound target over simulated treatment length. This figure shows a result page of vCOMBAT displaying the bacterial population when using Rifampicin to treat TB with a single dose. The input parameters are from Table 1. The results (the graph in the right) are displayed in the logarithm scale based on model-parameter values provided by users (the panel in the left). Users can provide the desired parameter values by entering their data to the panel on the left. Users also provide measured/external antibiotic concentrations by entering data to the field “Drug Concentration over Time”. In the resulting graph, the x-axis shows the simulated treatment length in hours. The y-axis shows the resulting bacterial population in the logarithm scale over the treatment time. There are 101 stacked area in this graph representing the bacterial population (x represents the percentage of bound targets varies from 0 to 100). The darker color depicts the higher value of x. The web-based tool also provides the output data ( values for each hour during the simulated treatment length)
Fig. 6Visualizing antibiotic concentration (An) and complex bound target (AT) and the total bacterial population (BP) over simulated treatment length using the vCOMBAT web-tool. The figure shows a page of the web-based tool displaying antibiotic concentration and complex bound target when using Rifampicin to treat TB with repeated doses daily over 4 days. The results (the graph on the right) are displayed based on model-parameter values provided by users (the panel on the left). In the graph, the x-axis shows the simulated treatment length in hours. The y-axis shows the resulting complex bound target AT (the red area), the total bacterial population BP (the white area), and antibiotic concentration An (the black area, in this case, is covered by AT and BP area) over the treatment time. The user can also choose to display solely AT, BP, or An by adjusting the “Series” link in the upper-left corner of the graph