37 citations · 65 across the 12 of their papers we have counts for
12 papers
Abstract relational structures in models of biology
Léo Diaz, Sean T. Vittadello, Michael P. H. Stumpf
The mathematical formalisms used to model biological systems induce both latent and ambiguous assumptions that can limit or distort their representational capabilities. Developing…
Towards a mathematical framework for modelling cell fate dynamics
Sean T. Vittadello, Léo Diaz, Yujing Liu +2
An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their…
Studying self-organisation across the biosphere with process-enablement graphs
Emmy Brown, Sean T. Vittadello
At the heart of many contemporary theories of life is the concept of biological self-organisation: organisms have to continuously produce and maintain the conditions of their own e…
Transformations on hypergraph families
Sean Trinity Vittadello
We present a new general theory of function-based hypergraph transformations on finite families of finite hypergraphs. A function-based hypergraph transformation formalises the act…
Open Problems in Mathematical Biology
Sean T. Vittadello, Michael P. H. Stumpf
Biology is data-rich, and it is equally rich in concepts and hypotheses. Part of trying to understand biological processes and systems is therefore to confront our ideas and hypoth…
A group theoretic approach to model comparison with simplicial representations
Sean T. Vittadello, Michael P. H. Stumpf
The complexity of biological systems, and the increasingly large amount of associated experimental data, necessitates that we develop mathematical models to further our understandi…
Bayesian and Algebraic Strategies to Design in Synthetic Biology
Robyn P. Araujo, Sean T. Vittadello, Michael P. H. Stumpf
Innovation in synthetic biology often still depends on large-scale experimental trial-and-error, domain expertise, and ingenuity. The application of rational design engineering met…
Model comparison via simplicial complexes and persistent homology
Sean T. Vittadello, Michael P. H. Stumpf
In many scientific and technological contexts we have only a poor understanding of the structure and details of appropriate mathematical models. We often, therefore, need to compar…
A novel mathematical model of heterogeneous cell proliferation
Sean T. Vittadello, Scott W. McCue, Gency Gunasingh +2
We present a novel mathematical model of heterogeneous cell proliferation where the total population consists of a subpopulation of slow-proliferating cells and a subpopulation of…
Co-universal C*-algebras associated to generalised graphs
Nathan Brownlowe, Aidan Sims, Sean T. Vittadello
We introduce P-graphs, which are generalisations of directed graphs in which paths have a degree in a semigroup P rather than a length in N. We focus on semigroups P arising as par…
Exel's crossed product for non-unital C*-algebras
Nathan Brownlowe, Iain Raeburn, Sean T. Vittadello
We consider a family of dynamical systems (A,alpha,L) in which alpha is an endomorphism of a C*-algebra A and L is a transfer operator for α. We extend Exel's construction of a cro…
Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems
Toke Meier Carlsen, Nadia S. Larsen, Aidan Sims +1
Let X be a product system over a quasi-lattice ordered group. Under mild hypotheses, we associate to X a C*-algebra which is co-universal for injective Nica covariant Toeplitz repr…