2 citations · 3 across the 8 of their papers we have counts for
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Oscillations and Spatial Patterns in Large-Scale Stochastic Gene Regulatory Networks
Manuel Eduardo Hernández-García, Jorge Velázquez-Castro
Gene regulatory networks (GRNs) are fundamental to cellular growth and tissue formation, orchestrating spatially and temporally regulated gene expression during development. These…
Oscillation Criteria in Large-Scale Gene Regulatory Networks with Intrinsic Fluctuations
Manuel Eduardo Hernández-García, Jorge Velázquez-Castro
Gene Regulatory Networks(GRNs) with feedback are essential components of many cellular processes and may exhibit oscillatory behavior. Analyzing such systems becomes increasingly c…
An Exact Moment-Based Approach for Chemical Reaction-Diffusion Networks: From Mass Action to Hill Functions
Manuel Eduardo Hernández-García, Eduardo Moreno-Barbosa, Jorge Velázquez-Castro
Biochemical systems are inherently stochastic, particularly those with small-molecule populations. The spatial distribution of molecules plays a critical role and requires the incl…
Extrinsic Fluctuations in the p53 Cycle
Manuel Eduardo Hernández-García, Mariana Gómez-Schiavon, Jorge Velázquez-Castro
Fluctuations are inherent to biological systems, arising from the stochastic nature of molecular interactions, and influence various aspects of system behavior, stability, and robu…
Relationship between Decimal Hill Coefficient, Intermediate Processes and Mesoscopic Fluctuations
Manuel Eduardo Hernández-García, Jorge Velázquez-Castro
The Hill function is relevant for describing enzyme binding and other processes in gene regulatory networks. Despite its theoretical foundation, it is often empirically used as a u…
Corrected Hill Function in Stochastic Gene Regulatory Networks
Manuel Eduardo Hernández-García, Jorge Velázquez-Castro
Describing reaction rates in stochastic bio-circuits is commonly done by directly introducing the deterministically deduced Hill function into the master equation. However, when fl…