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A mathematical model of biological evolution

, : A mathematical model of biological evolution. Journal of Mathematical Biology 14(3): 327-353

In order to understand how the biological evolution rate depends on relevant parameters such as mutation rate, intensity of selection pressure and its persistence time, the following mathematical model is proposed: dNn(t)/dt = (mn(t) - mu )Nn(t) + mu Nn-1(t) (n = 0, 1, 2, 3..), where Nn(t) and mn(t) are respectively the number and Malthusian parameter of replicons with step number n in a population at time t, and mu is the mutation rate, assumed to be a positive constant.


PMID: 7119589

DOI: 10.1007/bf00275397

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Yagi, Y.; Maeda, T.; Yoshimitsu, Y.; Sakuma, H., 2014: A case of breast cancer treated with chemotherapy after resection of giant ovarian metastasis. A 49-year-old female patient presented with lower abdominal pain and constipation. Computed tomography revealed left breast cancer with lymph node metastases, a peritoneal metastasis, bilateral hydronephrosis, and ovarian metastasis. The giant ova...

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Zappa, C.; Lodovici, M.; Bondi, C.; Dolara, P., 2000: Levels of polycyclic aromatic hydrocarbons (PAHs) in air samples in the city of Arezzo (1997-1998). Polycyclic aromatic hydrocarbons (PAHs) are widely distributed environment pollutants of air, water and soil. Since many PAHs are potent mutagens and/or carcinogens the occurrence of these compounds in the lower atmosphere is an important element...

Lamont, A.E.; Woodlief, D.; Malone, P.S., 2014: Predicting high-risk versus ihigher -risk substance use during late adolescence from early adolescent risk factors using Latent Class Analysis. Much of the existing risk factor literature focuses on identifying predictors of low-levels of substance use versus higher-levels of substance use. In this paper, we explore more nuanced patterns of alcohol, tobacco, and other drug (ATOD) use duri...

Hill, E.W.; Coombs, R.R.; Kelus, A.S., 1968: Identification of blood stains using anti-allotypic antibodies and mixed antiglobulin reaction: a model study on rabbit blood stains. Medicine, Science, and the Law 8(4): 296-299

Murphy, S.K.; Park, J-Woo.; Cruz, F.A.; Dong, V.M., 2015: Organic chemistry. Rh-catalyzed C-C bond cleavage by transfer hydroformylation. The dehydroformylation of aldehydes to generate olefins occurs during the biosynthesis of various sterols, including cholesterol in humans. Here, we implement a synthetic version that features the transfer of a formyl group and hydride from an ald...

Benada, J., 1979: Formation of spaces using herbicides in the experiments with cereals. Agrochemia 9(11): 344-345

Verbitskaya L.B., 1974: Structure of neurons and inter neuronal synapses after amphetamine excitation. Bulletin Of Experimental Biology & Medicine: 53-57