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American foulbrood (AFB) is one of the severe infectious diseases of European honeybees (Apis mellifera L.) and other Apis species. This disease is caused by a gram-positive, spore-forming bacterium Paenibacillus larvae. In this paper, a compartmental (SI framework) model is constructed to represent the spread of AFB within a colony. The model is analyzed… (More)

- Carlene Perpetua P Arceo, Editha C Jose, Alberto Marin-Sanguino, Eduardo R Mendoza
- Mathematical biosciences
- 2015

This paper provides a framework to represent a Biochemical Systems Theory (BST) model (in either GMA or S-system form) as a chemical reaction network with power law kinetics. Using this representation, some basic properties and the application of recent results of Chemical Reaction Network Theory regarding steady states of such systems are shown. In… (More)

- Carlene Perpetua P Arceo, Editha C Jose, Angelyn R Lao, Eduardo R Mendoza
- Mathematical biosciences
- 2017

This paper further develops the connection between Chemical Reaction Network Theory (CRNT) and Biochemical Systems Theory (BST) that we recently introduced [1]. We first use algebraic properties of kinetic sets to study the set of complex factorizable kinetics CFK(N) on a CRN, which shares many characteristics with its subset of mass action kinetics. In… (More)

Modern biology will never be the same without mathematical and computational tools. Using mind map with " epigenetics " as the root, we discuss the current advancement in the field of biomathematics for modeling cell-fate specification. In the discussions, we also present possible directions for future research. To cite this article: Jomar Fajardo… (More)

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