1 citations · 1 across the 2 of their papers we have counts for
5 papers
Bridging two theoretical frameworks of autocatalysis: RAF sets and stoichiometric autocatalysis
Richard Golnik, Thomas Gatter, Wim Hordijk +2
Autocatalysis lies at the heart of many (bio)chemical processes and is key to processes leading up to the origin of life. Two seemingly very different formalisms have emerged that…
Mathematical modeling and analysis of the Notch-Delta pathway
Angela Stevens, Nicola Vassena
In this paper mathematical models for the evolutionary conserved Notch-Delta pathway are developed and analyzed in order to better understand how two neighboring biological cells c…
Autocatalytic Cores in Reaction Networks with Explicit Catalysis
Richard Golnik, Thomas Gatter, Peter F. Stadler +1
Autocatalytic cores are minimal units in reaction networks (RNs) responsible for the emergence of autocatalysis. In the absence of explicit catalysis, i.e., when an entity appears…
Finding bifurcations in mathematical epidemiology via reaction network methods
Nicola Vassena, Florin Avram, Rim Adenane
Mathematical Epidemiology (ME) shares with Chemical Reaction Network Theory (CRNT) the basic mathematical structure of its dynamical systems. Despite this central similarity, metho…
Good and bad children in metabolic networks
Nicola Vassena
Equilibrium bifurcations arise from sign changes of Jacobian determinants, as parameters are varied. Therefore we address the Jacobian determinant for metabolic networks with gener…