2026-10-14T21:34:48Z https://api.figshare.com/v2/oai

oai:figshare.com:article/33778082 2026-09-15T08:16:14Z category_13 category_14 category_21 category_39 category_734 category_931 category_811 category_61 category_132 category_135 portal_63 item_type_3 month_year_09_2026

EMBED: Ensemble MATCONT-Based Detection and Classification of Bifurcations in Dual Phosphorylation–Dephosphorylation Reaction Networks Guturu L. Harika (24917822) Krishnamachari Sriram (11665756) Genetics Molecular Biology Biotechnology Ecology Biological Sciences not elsewhere classified Information Systems not elsewhere classified Mathematical Sciences not elsewhere classified Developmental Biology Infectious Diseases Computational Biology trajectory bifurcation analysis robust nonsingular dynamics local analysis tool links kinetic parameters gene regulatory networks biphasic responses dominate biologically relevant conditions also arises fundamentally key design axis also experimentally realizable scale parameter sampling dimensional parameter spaces global dynamical mapping dynamical systems perspective realize experimentally rational design dynamical regimes dynamical behavior parameter regions widely attributed therefore difficult theoretically possible synthetic biology scalable platform principled strategy incomplete models global organization functionally desirable fragile regions conventional use context dependence biological complexity biochemical systems based framework based extension based detection automated continuation We present EMBED, an ensemble-based extension of MATCONT that addresses the persistent design–build–test–learn (DBTL) gap in synthetic biology from a mechanistic, dynamical systems perspective. While the DBTL gap is widely attributed to biological complexity, context dependence, and incomplete models, here we show that it also arises fundamentally from the geometry of high-dimensional parameter spaces, where desired dynamical regimes occupy narrow and fragile regions. Conventional use of MATCONT is limited to single-parameter or single-trajectory bifurcation analysis, restricting its ability to capture this global organization. To overcome this, we integrate MATCONT with large-scale parameter sampling and automated continuation, enabling high-throughput and reproducible ensemble bifurcation analysis. Using dual phosphorylation–dephosphorylation (PdP) systems as a model, we demonstrate that although saddle-node, pitchfork, and saddle-node–transcritical bifurcations are theoretically possible, they are confined to finely tuned parameter regions and are therefore difficult to realize experimentally. In contrast, robust nonsingular dynamics such as ultrasensitive and biphasic responses dominate under biologically relevant conditions. We further show that the choice of control parameter fundamentally constrains accessible dynamics, establishing a key design axis for biochemical systems. By quantifying the prevalence, robustness, and accessibility of dynamical regimes, EMBED enables the identification of parameter regions that are not only functionally desirable but also experimentally realizable. Thus, EMBED complements existing DBTL approaches by providing a global, structure-based framework that links kinetic parameters to dynamical behavior. In doing so, it transforms MATCONT from a local analysis tool into a scalable platform for global dynamical mapping and offers a principled strategy for the rational design of robust biological circuits across signaling and gene regulatory networks. 2026-09-15T00:00:00Z Dataset Dataset 10.1021/acsomega.6c05467.s003 https://figshare.com/articles/dataset/EMBED_Ensemble_MATCONT-Based_Detection_and_Classification_of_Bifurcations_in_Dual_Phosphorylation_Dephosphorylation_Reaction_Networks/33778082 CC BY-NC 4.0