A mathematical model for the temporal pattern of a population structure, with particular reference to the flour beetle

1955 ◽  
Vol 17 (1) ◽  
pp. 63-77 ◽  
Author(s):  
H. D. Landahl
Keyword(s):  
Mathematical Model ◽  
Population Structure ◽  
Temporal Pattern ◽  
Flour Beetle

scholarly journals Meta-population structure and the evolutionary transition to multicellularity

2018 ◽  
Author(s):  
Caroline J. Rose ◽  
Katrin Hammerschmidt ◽  
Yuiry Pichugin ◽  
Paul B Rainey
Keyword(s):  
Mathematical Model ◽  
Population Structure ◽  
Life Cycle ◽  
Group Selection ◽  
Life Forms ◽  
Group Level ◽  
Evolutionary Transition ◽  
Strong Competition ◽  
Life Cycle Evolution ◽  
Relevant Factors

AbstractThe evolutionary transition to multicellularity has occurred on numerous occasions, but transitions to complex life forms are rare. While the reasons are unclear, relevant factors include the intensity of within-versus between-group selection that are likely to have shaped the course of life cycle evolution. A highly structured environment eliminates the possibility of mixing between evolving lineages, thus ensuring strong competition between groups. Less structure intensifies competition within groups, decreasing opportunity for group-level evolution. Here, using populations of the bacterium Pseudomonas fluorescens, we report the results of experiments that explore the effect of lineage mixing on the evolution of nascent multicellular groups. Groups were propagated under regimes requiring reproduction via a life cycle replete with developmental and dispersal (propagule) phases, but in one treatment lineages never mixed, whereas in a second treatment, cells from different lineages experienced intense competition during the dispersal phase. The latter treatment favoured traits promoting cell growth at the expense of traits underlying group fitness – a finding that is supported by results from a mathematical model. Together our results show that the transition to multicellularity benefits from ecological conditions that maintain discreteness not just of the group (soma) phase, but also of the dispersal (germline) phase.

scholarly journals A population structure-sensitive mathematical model assessing the effects of vaccination during the third surge of COVID-19 in Italy

2021 ◽  
pp. 125975
Author(s):  
Pablo Jiménez-Rodríguez ◽  
Gustavo A. Muñoz-Fernández ◽  
José C. Rodrigo-Chocano ◽  
Juan B. Seoane-Sepúlveda ◽  
Andreas Weber
Keyword(s):  
Mathematical Model ◽  
Population Structure ◽  
The Third ◽  
Structure Sensitive

Estimation of Cancer Morbidity using Mortality Data

1985 ◽  
Vol 71 (5) ◽  
pp. 431-439 ◽  
Author(s):  
Arduino Verdecchia ◽  
Riccardo Capocaccia ◽  
Cecilia Mazzoni
Keyword(s):  
Lung Cancer ◽  
Mathematical Model ◽  
Population Structure ◽  
Incidence Rates ◽  
Mortality Data ◽  
Degenerative Diseases ◽  
Stationary Population ◽  
Cancer Register ◽  
Morbidity Data ◽  
Good Agreement

Data on the incidence and prevalence of diseases provide an essential basis for several sanitary and epidemiologic purposes. Unfortunately, official routine statistics provide little, if any, reliable information on incidence and prevalence. The estimation of such indexes on the basis of other indirect statistics, such as mortality, can therefore be of great use. A mathematical model for degenerative diseases in a stationary population was applied to cancers occurring in the Varese province of Italy where comparative morbidity data were available from the Lombardy Cancer Register. A very good agreement between estimated and observed incidence rates was found for some cancers such as stomach and lung cancer. The agreement obtained in these cases suggests that model hypotheses may be usefully adopted. This conclusion can probably be extrapolated to the general population of Italy or other Italian areas characterized by a population structure which is similarly stationary.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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