论文部分内容阅读
Mathematics-in-Medicine is now a fast growing area.The traditional empirical models are being supplemented by the development of new conceptual models,which provide new ways of obtaining underpinning decision support.Evolution is driven by the degree of plasticity,by which living organisms mutate to optimise their fitness.A mechanism is proposed and analysed in which the phenotype is modelled on a continuous scale providing a parameter to quantify the phenotype state and fitness.RNA viruses can serve as an excellent testing model for verifying hypotheses and addressing questions in evolutionary biology.A simple deterministic mathematical model of the within-host viral dynamics is proposed which assumes a continuous distribution of viral strains in a one-dimensional phenotype space.Simulations show that random mutations combined with competition for a resource results in evolution towards higher Darwinian fitness in the phenotype space.The steady-state(s)of the steady phenotype distribution involves non-local(integro-differential)equations.