| Title |
Improving the Prediction of Local Drug Distribution Profiles in the Brain with a New 2D Mathematical Model
|
|---|---|
| Published in |
Bulletin of Mathematical Biology, August 2018
|
| DOI | 10.1007/s11538-018-0469-4 |
| Pubmed ID | |
| Authors |
E. Vendel, V. Rottschäfer, E. C. M. de Lange |
| Abstract |
The development of drugs that target the brain is very challenging. A quantitative understanding is needed of the complex processes that govern the concentration-time profile of a drug (pharmacokinetics) within the brain. So far, there are no studies on predicting the drug concentration within the brain that focus not only on the transport of drugs to the brain through the blood-brain barrier (BBB), but also on drug transport and binding within the brain. Here, we develop a new model for a 2D square brain tissue unit, consisting of brain extracellular fluid (ECF) that is surrounded by the brain capillaries. We describe the change in free drug concentration within the brain ECF, by a partial differential equation (PDE). To include drug binding, we couple this PDE to two ordinary differential equations that describe the concentration-time profile of drug bound to specific as well as non-specific binding sites that we assume to be evenly distributed over the brain ECF. The model boundary conditions reflect how free drug enters and leaves the brain ECF by passing the BBB, located at the level of the brain capillaries. We study the influence of parameter values for BBB permeability, brain ECF bulk flow, drug diffusion through the brain ECF and drug binding kinetics, on the concentration-time profiles of free and bound drug. |
X Demographics
The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United States | 1 | 33% |
| Unknown | 2 | 67% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 3 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 22 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 22 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Master | 5 | 23% |
| Student > Bachelor | 3 | 14% |
| Researcher | 3 | 14% |
| Professor | 3 | 14% |
| Lecturer > Senior Lecturer | 1 | 5% |
| Other | 3 | 14% |
| Unknown | 4 | 18% |
| Readers by discipline | Count | As % |
|---|---|---|
| Pharmacology, Toxicology and Pharmaceutical Science | 5 | 23% |
| Engineering | 3 | 14% |
| Biochemistry, Genetics and Molecular Biology | 2 | 9% |
| Mathematics | 2 | 9% |
| Agricultural and Biological Sciences | 2 | 9% |
| Other | 2 | 9% |
| Unknown | 6 | 27% |
Attention Score in Context
This research output has an Altmetric Attention Score of 8. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 11 May 2023.
All research outputs
#4,220,074
of 23,862,416 outputs
Outputs from Bulletin of Mathematical Biology
#119
of 1,131 outputs
Outputs of similar age
#78,387
of 333,947 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#5
of 49 outputs
Altmetric has tracked 23,862,416 research outputs across all sources so far. Compared to these this one has done well and is in the 82nd percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 1,131 research outputs from this source. They receive a mean Attention Score of 4.9. This one has done well, scoring higher than 89% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 333,947 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 76% of its contemporaries.
We're also able to compare this research output to 49 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 91% of its contemporaries.