Avtor/Urednik | Cedilnik, Anton; Gorup, Eva C | |
Naslov | Log-konkavni karakter mikrobne rastne krivulje brez lag-faze | |
Prevedeni naslov | Log-concave character of microbial growth function without lag phase | |
Tip | članek | |
Vir | Zb Bioteh Fak Univ Ljubl Kmet Zooteh | |
Vol. in št. | Letnik 82, št. 2 | |
Leto izdaje | 2003 | |
Obseg | str. 143-55 | |
Jezik | slo | |
Abstrakt | Minot's law, that the relative growth rate is decreasing everywhere on the domain of increasing microbial growth function, we extend also to the domain where the observed culture decays. We show that the growth function which fulfils this law is logarithmically concave and is always of the form N(t) = N(a) exp(R(x)dx ) where R(t) is a decreasing function. The end of lag phase is defined as the beginning of loJg-concavity of growth function. We describe other general mathematical characteristics of such growth functions and derive the basic principle of approximation of concrete data. At the end we suggest a simple model as an example. | |
Izvleček | Minotov zakon, po katerem je relativna stopnja rasti padajoča na vsem območju, kjer je mikrobna rastna krivulja naraščajoča, razširimo še na območje, kjer opazovana kultura umira. Pokažemo, da je rastna krivulja, za katero velja ta zakon, logaritmično konkavna in da ima zato vselej obliko N(t) = N(a).exp( R(x)dx), kjer je R(t) padajoča funkcija. Konec lag-faze definiramo kot začetek logaritmične konkavnosti rastne krivulje. V nadaljevanju naštejemo ostale splošne lastnosti takih rastnih krivulj, utemeljimo osnovni princip aproksimacije konkretnih podatkov in predlagamo preprost model. | |
Deskriptorji | BACTERIA CULTURE MEDIA MODELS, THEORETICAL |