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The only way to deal with these three situations appears to be a combination of physical process modelling and stochastic modelling based on probability, both of which are outside the scope of this present discussion, except that it might perhaps be pointed out that the origin of 'stochastic' is the Greek for 'to guess'.
One strategy to stochastically model the TF search process for their target sites consists of designing a hybrid system combining agent-based modelling and stochastic simulation techniques (Gillespie, 1977).
The development of hybrid methodologies is of current interest in both multi-scale modelling and stochastic reaction diffusion systems regarding their applications to biology.
The results are presented as dimensionless matrices and suggested for use in support of decision-making at the design stage, without any advanced fracture mechanics modelling and stochastic simulation.
Recent advances in mathematical modelling and stochastic simulations have provided valuable insights into the role of recombination in the genomic diversification of HIV-1 in vivo, particularly in the context of the development of resistance to antiretroviral therapy (reviewed in [22]).
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The tracking control problem of an inverted pendulum on a cart, operating under modelling uncertainties and stochastic perturbations is addressed.
His research interests are in dynamic modelling, optimal control and stochastic optimization with emphasis on physiological and biological systems.
To exploit these aspects, in this paper we introduce a hybrid modelling pipeline combining available genetic knockout data with logical, ODE-based and stochastic modelling approaches as outlined in Fig. 1 a- d.
To investigate the benefits of deterministic and stochastic modelling approaches, we focus on a model of auxin transport.
PB-SAND uses a dominantly geometric modelling approach supplemented by process-based and stochastic model components, and is constrained by quantified sedimentological data derived from modern point bars or ancient successions that represent suitable analogues.
'Do Well B.' is a multidisciplinary project that builds innovative links between autism spectrum disorders (ASD), audiovisual signal processing, physiological response, and stochastic modelling and statistics.
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