Title |
A mathematical model for targeting chemicals to tissues by exploiting complex degradation
|
---|---|
Published in |
Biology Direct, September 2011
|
DOI | 10.1186/1745-6150-6-46 |
Pubmed ID | |
Authors |
Bruce S Gardiner, Lihai Zhang, David W Smith, Peter Pivonka, Alan J Grodzinsky |
Abstract |
In many biological and therapeutic contexts, it is highly desirable to target a chemical specifically to a particular tissue where it exerts its biological effect. In this paper, we present a simple, generic, mathematical model that elucidates a general method for targeting a chemical to particular tissues. The model consists of coupled reaction-diffusion equations to describe the evolution within the tissue of the concentrations of three chemical species: a (concentration of free chemical), b (binding protein) and their complex, c (chemical bound to binding protein). We assume that all species are free to diffuse, and that a and b undergo a reversible reaction to form c. In addition, the complex, c, can be broken down by a process (e.g. an enzyme in the tissue) that results in the release of the chemical, a, which is then free to exert its biological action. |
Mendeley readers
Geographical breakdown
Country | Count | As % |
---|---|---|
Australia | 1 | 5% |
Unknown | 18 | 95% |
Demographic breakdown
Readers by professional status | Count | As % |
---|---|---|
Student > Ph. D. Student | 5 | 26% |
Other | 3 | 16% |
Student > Bachelor | 2 | 11% |
Professor > Associate Professor | 2 | 11% |
Researcher | 1 | 5% |
Other | 1 | 5% |
Unknown | 5 | 26% |
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Engineering | 3 | 16% |
Arts and Humanities | 2 | 11% |
Biochemistry, Genetics and Molecular Biology | 2 | 11% |
Agricultural and Biological Sciences | 2 | 11% |
Computer Science | 1 | 5% |
Other | 2 | 11% |
Unknown | 7 | 37% |