Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport System
Characteristic times for transport processes in biological systems may be evaluated as mean transit times (MTTs) (for transit states) or mean residence times (MRT) (for steady states). It is shown in a general framework of a (linear) reaction–diffusion–convection equation that these two times are re...
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Hindawi Limited
2007-01-01
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| Series: | Computational and Mathematical Methods in Medicine |
| Online Access: | http://dx.doi.org/10.1080/17486700701298293 |
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doaj-023b82890b5f415794d7bb835e9066482020-11-25T01:43:17ZengHindawi LimitedComputational and Mathematical Methods in Medicine1748-670X1748-67182007-01-0181374910.1080/17486700701298293Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport SystemJacek Waniewski0Institute of Biocybernetics and Biomedical Engineering PAS, ul. Trojdena 4, Warsaw 02-109, PolandCharacteristic times for transport processes in biological systems may be evaluated as mean transit times (MTTs) (for transit states) or mean residence times (MRT) (for steady states). It is shown in a general framework of a (linear) reaction–diffusion–convection equation that these two times are related. Analytical formulas are also derived to calculate moments of exit time distribution using solutions for a stationary state of the system.http://dx.doi.org/10.1080/17486700701298293 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jacek Waniewski |
| spellingShingle |
Jacek Waniewski Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport System Computational and Mathematical Methods in Medicine |
| author_facet |
Jacek Waniewski |
| author_sort |
Jacek Waniewski |
| title |
Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport System |
| title_short |
Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport System |
| title_full |
Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport System |
| title_fullStr |
Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport System |
| title_full_unstemmed |
Mean Transit Time and Mean Residence Time for Linear Diffusion–Convection–Reaction Transport System |
| title_sort |
mean transit time and mean residence time for linear diffusion–convection–reaction transport system |
| publisher |
Hindawi Limited |
| series |
Computational and Mathematical Methods in Medicine |
| issn |
1748-670X 1748-6718 |
| publishDate |
2007-01-01 |
| description |
Characteristic times for transport processes in biological systems may be evaluated as mean transit times (MTTs) (for transit states) or mean residence times (MRT) (for steady states). It is shown in a general framework of a (linear) reaction–diffusion–convection equation that these two times are related. Analytical formulas are also derived to calculate moments of exit time distribution using solutions for a stationary state of the system. |
| url |
http://dx.doi.org/10.1080/17486700701298293 |
| work_keys_str_mv |
AT jacekwaniewski meantransittimeandmeanresidencetimeforlineardiffusionconvectionreactiontransportsystem |
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