Publications by authors named "Paolo Ballarini"

Article Synopsis
  • Likelihood-free methods, particularly Approximate Bayesian Computation (ABC), are effective for model-based statistical inference when likelihood functions are hard to compute, especially in complex biological systems.
  • ABC can be enhanced using Sequential Monte Carlo (SMC) algorithms, where the performance relies heavily on how parameter vectors are moved through distributions using Markov kernels.
  • The study introduces an ABC-SMC method utilizing Dirichlet process mixtures (DPMs) for optimized kernel transitions, demonstrating improved parameter estimation in biological models, specifically for the Wnt signaling pathway compared to traditional methods.
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Important achievements in traditional biology has deepened the knowledge about living systems leading to an extensive identification of parts-list of the cell as well as of the interactions among biochemical species responsible for cell's regulation. Such an expanding knowledge also introduces new issues. For example the increasing comprehension of the inter- dependencies between pathways (pathways cross-talk) has resulted, on one hand, in the growth of informational complexity, on the other, in a strong lack of information coherence.

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Biological systems are characterised by a large number of interacting entities whose dynamics is described by a number of reaction equations. Mathematical methods for modelling biological systems are mostly based on a centralised solution approach: the modelled system is described as a whole and the solution technique, normally the integration of a system of ordinary differential equations (ODEs) or the simulation of a stochastic model, is commonly computed in a centralised fashion. In recent times, research efforts moved towards the definition of parallel/distributed algorithms as a means to tackle the complexity of biological models analysis.

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