For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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A new algorithm simulates exact trajectories of bursty PDMP models for arbitrary interacting genes at lower cost than SSA, with a toggle-switch example showing bimodal expression arises from interaction-driven burst frequencies rather than bursting alone.
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Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting
For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–
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Efficient stochastic simulation of gene regulatory networks using hybrid models of transcriptional bursting
A new algorithm simulates exact trajectories of bursty PDMP models for arbitrary interacting genes at lower cost than SSA, with a toggle-switch example showing bimodal expression arises from interaction-driven burst frequencies rather than bursting alone.