Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Fabio A. C. C. Chalub"'
Publikováno v:
Acta Applicandae Mathematicae. 171
We consider three classical models of biological evolution: (i) the Moran process, an example of a reducible Markov Chain; (ii) the Kimura Equation, a particular case of a degenerated Fokker-Planck Diffusion; (iii) the Replicator Equation, a paradigm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ce74969d18843d2cf5c7706e3084ccd
https://doi.org/10.1007/s10440-021-00391-9
https://doi.org/10.1007/s10440-021-00391-9
Publikováno v:
PLoS Computational Biology, Vol 2, Iss 12, p e178 (2006)
We study the evolution of cooperation under indirect reciprocity, believed to constitute the biological basis of morality. We employ an evolutionary game theoretical model of multilevel selection, and show that natural selection and mutation lead to
Externí odkaz:
https://doaj.org/article/569b5a16c9f94c0abe13c3c908f09b8e
Autor:
Fabio A. C. C. Chalub, Max O. Souza
Publikováno v:
Journal of theoretical biology. 457
We present a mechanistic formalism for the study of evolutionary dynamics models based on the diffusion approximation described by the Kimura Equation. In this formalism, the central component is the fitness potential, from which we obtain an express
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a28992ff4e5b43fae6994aa1c8ef193f
https://pubmed.ncbi.nlm.nih.gov/30125575
https://pubmed.ncbi.nlm.nih.gov/30125575
Autor:
Fabio A. C. C. Chalub, Max O. Souza
The probability that the frequency of a particular trait will eventually become unity, the so-called fixation probability, is a central issue in the study of population evolution. Its computation, once we are given a stochastic finite population mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d607d90fd0ae5ba40922a193fbd6655e
http://arxiv.org/abs/1801.02550
http://arxiv.org/abs/1801.02550
Autor:
Fabio A. C. C. Chalub
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We consider the Moran process in a graph called the ``star'' and obtain the asymptotic expression for the fixation probability of a single mutant when the size of the graph is large. The expression obtained corrects the previously known expression an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fce8d3cb2ed4a2b3e16b9a9b6f8b7604
https://hdl.handle.net/10362/65003
https://hdl.handle.net/10362/65003
Autor:
Max O. Souza, Fabio A. C. C. Chalub
This work is a systematic study of discrete Markov chains that are used to describe the evolution of a two-types population. Motivated by results valid for the well-known Moran (M) and Wright-Fisher (WF) processes, we define a general class of Markov
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83bbf19e9fd472316b5b1939fa83b024
Publikováno v:
British Journal of Cancer
British Journal of Cancer, 101 (7
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
British Journal of Cancer, 101 (7
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
There is variability in the cancer phenotype across individuals: two patients with the same tumour may experience different disease life histories, resulting from genetic variation within the tumour and from the interaction between tumour and host. U
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::291aa79259b44e7aa9550684ae49ad51
https://doi.org/10.1038/sj.bjc.6605288
https://doi.org/10.1038/sj.bjc.6605288
Autor:
Max O. Souza, Fabio A. C. C. Chalub
Publikováno v:
Mathematical and Computer Modelling. 47(7-8):743-754
There are many different models--both continuous and discrete--used to describe gene mutation fixation. In particular, the Moran process, the Kimura equation and the replicator dynamics are all well known models, that might lead to different conclusi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a58b4262528aa18e3cfd7fdb75200f12
Publikováno v:
Journal of mathematical biology. 73(6-7)
We consider a SIR model with temporary immunity and time dependent transmission rate. We assume time dependent vaccination which confers the same immunity as natural infection. We study two types of vaccination strategies: i) optimal vaccination, in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9870c3019d76e7afa68b488b2afee6e
https://pubmed.ncbi.nlm.nih.gov/27048430
https://pubmed.ncbi.nlm.nih.gov/27048430
Autor:
Fabio A. C. C. Chalub, Dietmar Oelz, Yasmin Dolak-Struss, Christian Schmeiser, Alexander Soreff, Peter A. Markowich
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 16:1173-1197
We present partial differential equation (PDE) model hierarchies for the chemotactically driven motion of biological cells. Starting from stochastic differential models, we derive a kinetic formulation of cell motion coupled to diffusion equations fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30b82db55c94de3cbc18e598c8038dc6
https://doi.org/10.1142/s0218202506001509
https://doi.org/10.1142/s0218202506001509