Geodesic
Random coefficient differential models of growth of anaerobic photosynthetic bacteria
Electronic transactions on numerical analysis, Tome 34 (2009)
In many fields of science and engineering there are mathematical models given in terms of differential equations with random coefficients. The randomness is due to errors or uncertainty. Closed solutions are few, and usually numerical approximations need to be calculated. Polynomial chaos is a powerful method in this regard. Here we apply this method to several modeling approaches for the time evolution of photosynthetic bacterial populations.
Classification : 60H25, 65C20, 92D25
Keywords: bacterial growth models, random differential equations, curve Fitting 
@article{ETNA_2009__34__a11,
     author = {Stanescu,  Dan and Chen-Charpentier,  Benito and Jensen,  Brandi J. and Colberg,  Patricia J.S.},
     title = {Random coefficient differential models of growth of anaerobic photosynthetic bacteria},
     journal = {Electronic transactions on numerical analysis},
     year = {2009},
     volume = {34},
     zbl = {1173.60333},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__34__a11/}
}
TY  - JOUR
AU  - Stanescu,  Dan
AU  - Chen-Charpentier,  Benito
AU  - Jensen,  Brandi J.
AU  - Colberg,  Patricia J.S.
TI  - Random coefficient differential models of growth of anaerobic photosynthetic bacteria
JO  - Electronic transactions on numerical analysis
PY  - 2009
VL  - 34
UR  - http://geodesic.mathdoc.fr/item/ETNA_2009__34__a11/
LA  - en
ID  - ETNA_2009__34__a11
ER  - 
%0 Journal Article
%A Stanescu,  Dan
%A Chen-Charpentier,  Benito
%A Jensen,  Brandi J.
%A Colberg,  Patricia J.S.
%T Random coefficient differential models of growth of anaerobic photosynthetic bacteria
%J Electronic transactions on numerical analysis
%D 2009
%V 34
%U http://geodesic.mathdoc.fr/item/ETNA_2009__34__a11/
%G en
%F ETNA_2009__34__a11
Stanescu,  Dan; Chen-Charpentier,  Benito; Jensen,  Brandi J.; Colberg,  Patricia J.S. Random coefficient differential models of growth of anaerobic photosynthetic bacteria. Electronic transactions on numerical analysis, Tome 34 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__34__a11/