Search results for "Sistemes dinàmics diferenciables"

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Viral replication modes in single-peak fitness landscapes: A dynamical systems analysis

2017

Positive-sense, single-stranded RNA viruses are important pathogens infecting almost all types of organisms. Experimental evidence from distributions of mutations and from viral RNA amplification suggest that these pathogens may follow different RNA replication modes, ranging from the stamping machine replication (SMR) to the geometric replication (GR) mode. Although previous theoretical work has focused on the evolutionary dynamics of RNA viruses amplifying their genomes with different strategies, little is known in terms of the bifurcations and transitions involving the so-called error threshold (mutation-induced dominance of mutants) and lethal mutagenesis (extinction of all sequences du…

0301 basic medicineStatistics and ProbabilityRNA virusesMutation rateDynamical systems theoryFitness landscapeMutantBiologyVirus ReplicationGenomeModels BiologicalGeneral Biochemistry Genetics and Molecular Biology03 medical and health sciencesBifurcations0302 clinical medicineMutation RateSingle-peak fitness landscapeError thresholdDynamical systemsReplication modesDifferentiable dynamical systemsEvolutionary dynamics51 - MatemàtiquesGenetics51General Immunology and MicrobiologyModels GeneticApplied MathematicsRNA:Matemàtiques i estadística [Àrees temàtiques de la UPC]General MedicineMutation AccumulationSistemes dinàmics diferenciables030104 developmental biologyViral replicationMutagenesisModeling and SimulationMatemàtiquesGeneral Agricultural and Biological Sciences030217 neurology & neurosurgery
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The influence of the solvent's mass on the location of the dividing surface for a model Hamiltonian

2019

The Transition State dividing surface is a key concept, not only for the precise calculation of the rate constant of a reaction, but also for the proper prediction of product ratios. The correct location of this surface is defined by the requirement that reactive trajectories do not recross it. In the case of reactions in solution the solvent plays an important role in the location of the dividing surface. In this paper we show with the aid of a model Hamiltonian that the effective mass of the solvent can dramatically change the location of the dividing surface. Keywords: Dynamical systems, Dividing surface, Reactions in solution, 2019 MSC: 00-01, 99-00

PhysicsDynamical systems theoryMathematical analysisSolvationlcsh:QD450-801General Physics and Astronomylcsh:Physical and theoretical chemistryDividing surfaceSurface reactionSistemes dinàmics diferenciablesChemical reactionlcsh:QC1-999Reactions in solutionSolventsymbols.namesakeReaction rate constantEffective mass (solid-state physics)Dynamical systemssymbolsPhysical and Theoretical ChemistryHamiltonian (quantum mechanics)lcsh:PhysicsFisicoquímica
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