## BIOMAT 2007: International Symposium on Mathematical and Computational Biology, Arma?c ao Dos B uzios, Rio de Janeiro, Brazil, 24-29 Novermber 2007The present volume contains the contributions of the keynote speakers of the BIOMAT 2007 Symposium as well as selected contributed papers in the areas of mathematical biology, biological physics, biophysics and bioinformatics. It contains new results on some aspects of LotkaOCoVolterra equations, the proposal of using differential geometry to model neurosurgical tools, recent data on epidemiological modeling, pattern recognition and comprehensive reviews on the structure of proteins, the folding problem and the influence of Allee effects on population dynamics.This book contains some original results on the growth of gliomas: the role played by membrane channels on activity-dependent modulation of spike transmission; a proposal for reconsidering the concept of gene and the understanding of the mechanisms responsible for gene expression; a differential geometric approach to the influence of the drying effect on the dynamics of pods of Leguminosae; the comparison of agent-based models with the approach of differential equations on the study of selection mechanisms in germinal centers; and the synchronization phenomenon for protocell systems driven by linear kinetic equations. |

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BIOMAT 2007: International Symposium on Mathematical and Computational ... Rubem Mondaini Limited preview - 2008 |

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action potentials aﬀected aﬃnity Allee eﬀects Allee threshold asymptotically behavior biclusters Biology centrocytes classiﬁcation clustering coeﬃcients compartment complex component Allee eﬀects computational consider constant coordinate vectors coordinates corresponding curvature curve data matrices deﬁned deﬁnition demographic Allee eﬀects density depolarized determined atoms di,j diﬀerent diﬀerential equation diﬀusion distance geometry distance geometry problem dynamics eigenvalue epidemic equilibrium point Figure ﬁnal ﬁnd ﬁrst ﬂow folding function gene genome geometric buildup algorithm germinal centre given glioma global helical Hopf bifurcation infection interaction invasion limit cycle linear mathematical model matrix membrane metapopulation method microRNAs molecular molecules neurons non-coding RNAs obtained optimal parameters parasitoid pest population positive predator-prey predators predicted prey protein protein folding protocell re-ordering RMSD signiﬁcant simulations solution space spatial species speciﬁc spike stable manifold stochastic strong Allee eﬀect structure suﬃcient theoretical tion tissues transcripts transmission tumor values variable vector