Zobrazeno 1 - 10
of 89
pro vyhledávání: '"ANGSTMANN, CHRISTOPHER N."'
We formulate a compounded random walk that is physically well defined on both finite and infinite domains, and samples space-dependent forces throughout jumps. The governing evolution equation for the walk limits to a space-fractional Fokker-Planck e
Externí odkaz:
http://arxiv.org/abs/2410.10077
We have derived the governing equations for an SIR model with delay terms in both the infectivity and recovery of the disease. The equations are derived by modelling the dynamics as a continuous time random walk, where individuals move between the cl
Externí odkaz:
http://arxiv.org/abs/2406.18107
Compartment models with delay terms are widely used across a range of disciplines. The motivation to include delay terms varies across different contexts. In epidemiological and pharmacokinetic models, the delays are often used to represent an incuba
Externí odkaz:
http://arxiv.org/abs/2406.17242
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Huang, Boris Z., Xu, Zhuang
In this work, exact solutions are derived for an integer- and fractional-order time-delayed diffusion equation with arbitrary initial conditions. The solutions are obtained using Fourier transform methods in conjunction with the known properties of d
Externí odkaz:
http://arxiv.org/abs/2406.08777
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Xu, Zhuang
Transport phenomena play a vital role in various fields of science and engineering. In this work, exact solutions are derived for advection equations with integer- and fractional-order time derivatives and a constant time-delay in the spatial derivat
Externí odkaz:
http://arxiv.org/abs/2406.00897
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Henry, Bruce I., Han, Daniel S., Jacobs, Byron A., Xu, Zhuang
Our study focuses on fractional order compartment models derived from underlying physical stochastic processes, providing a more physically grounded approach compared to models that use the dynamical system approach by simply replacing integer-order
Externí odkaz:
http://arxiv.org/abs/2312.05268
Autor:
Korosec, Chapin S., Unksov, Ivan, Surendiran, Pradheebha, Lyttleton, Roman, Curmi, Paul M. G., Angstmann, Christopher N., Eichhorn, Ralf, Linke, Heiner, Forde, Nancy R.
Publikováno v:
Nat Commun 15, 1511 (2024)
Inspired by biology, great progress has been made in creating artificial molecular motors. However, the dream of harnessing proteins - the building blocks selected by Nature - to design autonomous motors has so far remained elusive. Here we report th
Externí odkaz:
http://arxiv.org/abs/2109.10293
Autor:
Xu, Zhuang, Angstmann, Christopher N., Wu, Yuhuang, Stefen, Holly, Parić, Esmeralda, Fath, Thomas, Curmi, Paul M.G.
Publikováno v:
In iScience 15 March 2024 27(3)
Autor:
Angstmann, Christopher N.1 (AUTHOR) c.angstmann@unsw.edu.au, Burney, Stuart-James M.1 (AUTHOR) sj.burney@unsw.edu.au, Henry, Bruce I.1 (AUTHOR) b.henry@unsw.edu.au, Jacobs, Byron A.2 (AUTHOR), Xu, Zhuang1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Nov2023, Vol. 11 Issue 21, p4526. 34p.
Explicit numerical finite difference schemes for partial differential equations are well known to be easy to implement but they are particularly problematic for solving equations whose solutions admit shocks, blowups and discontinuities. Here we pres
Externí odkaz:
http://arxiv.org/abs/1610.05417