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Quantum field theory and phylogenetic branching
Citation
Jarvis, PD and Bashford, JD, Quantum field theory and phylogenetic branching, Journal of Physics A: Mathematical and General, 34, (49) pp. L703-L707. ISSN 0305-4470 (2001) [Refereed Article]
DOI: doi:10.1088/0305-4470/34/49/103
Abstract
A calculational framework is proposed for phylogenetics, using nonlocal quantum field theories in hypercubic geometry. Quadratic terms in the Hamiltonian give the underlying Markov dynamics, while higher degree terms represent branching events. The spatial dimension L is the number of leaves of the evolutionary tree under consideration. Momentum conservation modulo ℤ×L 2 in L ← 1 scattering corresponds to tree edge labelling using binary L-vectors. The bilocal quadratic term allows for momentum-dependent rate constants - only the tree or trees compatible with selected nonzero edge rates contribute to the branching probability distribution. Applications to models of evolutionary branching processes are discussed.
Item Details
Item Type: | Refereed Article |
---|---|
Research Division: | Physical Sciences |
Research Group: | Other physical sciences |
Research Field: | Other physical sciences not elsewhere classified |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the physical sciences |
UTAS Author: | Jarvis, PD (Dr Peter Jarvis) |
UTAS Author: | Bashford, JD (Dr James Bashford) |
ID Code: | 22294 |
Year Published: | 2001 |
Web of Science® Times Cited: | 6 |
Deposited By: | Physics |
Deposited On: | 2001-08-01 |
Last Modified: | 2002-06-27 |
Downloads: | 0 |
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