A5073869700- Fractional Differential Equations Solutions
- Mathematical and Theoretical Epidemiology and Ecology Models
- stochastic dynamics and bifurcation
- Numerical methods for differential equations
- Probabilistic and Robust Engineering Design
- COVID-19 epidemiological studies
- Nonlinear Differential Equations Analysis
- Advanced Thermodynamics and Statistical Mechanics
- Theoretical and Computational Physics
- Stochastic processes and financial applications
- Protein Structure and Dynamics
- Nonlinear Dynamics and Pattern Formation
- Differential Equations and Numerical Methods
- Advanced Mathematical Modeling in Engineering
- Advanced Control Systems Design
- Fluid Dynamics and Turbulent Flows
- Microtubule and mitosis dynamics
- Bacterial Genetics and Biotechnology
- Diffusion and Search Dynamics
- Advanced Queuing Theory Analysis
- Mathematical functions and polynomials
- Orbital Angular Momentum in Optics
- Thermoelastic and Magnetoelastic Phenomena
- Stochastic processes and statistical mechanics
- Complex Network Analysis Techniques
UNSW Sydney
2016-2025
Instituto de Arqueología-Mérida
2020
Universidad de Extremadura
2020
University of Vermont
2020
Abstract Inspired by biology, great progress has been made in creating artificial molecular motors. However, the dream of harnessing proteins – building blocks selected nature to design autonomous motors so far remained elusive. Here we report synthesis and characterization Lawnmower, an autonomous, protein-based motor comprised a spherical hub decorated with proteases. Its “burnt-bridge” motion is directed cleavage peptide lawn, promoting towards unvisited substrate. We find that Lawnmowers...
The TGF-b superfamily cytokine MIC-1/GDF15 circulates in the blood of healthy humans. Its levels rise substantially cancer and other diseases this may sometimes lead to development an anorexia/cachexia syndrome. This is mediated by a direct action on feeding centres hypothalamus brainstem. More recent studies germline gene deleted mice also suggest that play role physiological regulation energy homeostasis. To further characterize homeostasis man, we have examined diurnal food associated...
We demonstrate an efficient high-precision optical spectroscopy technique for single trapped ions with non-closed transitions. In a double-shelving technique, the absorption of photon is first amplified to several phonons normal motional mode shared co-trapped cooling ion different species, before being further thousands fluorescence photons emitted by using standard electron shelving technique. employ this extension recoil perform high precision absolute frequency measurement...
One of the central results in Einstein's theory Brownian motion is that mean square displacement a randomly moving particle scales linearly with time. Over past few decades sophisticated experiments and data collection numerous biological, physical financial systems have revealed anomalous sub-diffusion which grows slower than A major theoretical challenge has been to derive appropriate evolution equation for probability density function taking into account further complications from force...
Compartment models have been used to describe the time evolution of a system undergoing reactions between populations in different compartments. The governing equations are set coupled ordinary differential equations. In recent years fractional order derivatives introduced compartment an ad hoc way, replacing with derivatives. This has motivated by utility incorporating history effects, but inclusion can be problematic for flux balance. To overcome these problems we derived from underlying...
One mechanism for achieving accurate placement of the cell division machinery is via Turing patterns, where nonlinear molecular interactions spontaneously produce spatiotemporal concentration gradients. The resulting patterns are dictated by shape. For example, Min system Escherichia coli shows oscillation between poles, leaving a mid-cell zone division. universality pattern-forming mechanisms in divisome currently unclear. We examined location plane two pleomorphic archaea, Haloferax...
We formulate a compounded random walk that is physically well defined on both finite and infinite domains, samples space-dependent forces throughout jumps. The governing evolution equation for the limits to space-fractional Fokker-Planck valid bounded recovers known superdiffusive diffusion domains. describe methods numerical approximation Monte Carlo simulations demonstrate excellent correspondence with analytical solutions. This walk, its associated fractional equation, provides major...
The introduction of fractional-order derivatives to epidemiological compartment models, such as SIR has attracted much attention. When this is done in an ad hoc manner, it difficult reconcile parameters the resulting equations with dynamics individuals. This issue circumvented by deriving models from underlying stochastic process. Here, we derive a infectivity and recovery Susceptible Infectious Recovered (SIR) model process continuous-time random walk (CTRW) that incorporates...
Chloride intracellular channel proteins (CLICs) differ from most ion channels as they can exist in both soluble and integral membrane forms. The CLICs are expressed but reversibly autoinsert into the to form active channels. For CLIC1, interaction with lipid bilayer is enhanced under oxidative conditions. At present, little evidence available characterizing structure of putative oligomeric CLIC form. Previously, fluorescence resonance energy transfer (FRET) was used monitor model...
We derive the generalized master equation for reaction-diffusion on networks from an underlying stochastic process, continuous time random walk (CTRW). The nontrivial incorporation of reaction process into CTRW is achieved by splitting derivation two stages. reactions are treated as birth-death processes and first stage at single particle level, taking account death while second considers ensemble these particles including birth process. Using this model we have investigated different types...
Continuous time random walks, which generalize walks by adding a stochastic between jumps, provide useful description of transport at mesoscopic scales. The continuous walk model can accommodate certain features, such as trapping, are not manifest in the standard macroscopic diffusion equation. trapping is incorporated through waiting density, and fractional equation results from power law time. A generalized with biased jumps has been used to consider that also subject an external force....
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistoryPublished online: 06 May 2021Keywordscompartment models, fractional calculus, epidemiology, pharmacokinetics, stochastic modelsAMS Subject Headings34A08, 60G22, 60K40, 92C45, 92D30Publication DataISSN (print): 0036-1445ISSN (online): 1095-7200Publisher: Society for Industrial and Applied MathematicsCODEN: siread
The axon initial segment (AIS) is located at the proximal demarcating boundary between axonal and somatodendritic compartments. AIS facilitates generation of action potentials maintenance neuronal polarity. In this study, we show that location assembly, as marked by Ankyrin G, corresponds to nodal plane lowest-order harmonic Laplace-Beltrami operator solved over shape. This correlation establishes a coupling assembly cell morphology. We validate for neurons with atypical morphology...
Reaction-diffusion equations are widely used as the governing evolution for modeling many physical, chemical, and biological processes. Here we derive reaction-diffusion to model transport with reactions on a one-dimensional domain that is evolving. The equations, which have been derived from generalized continuous time random walks, can incorporate complexities such subdiffusive inhomogeneous stretching shrinking. A method constructing analytic expressions short moments of position...
A standard reaction-diffusion equation consists of two additive terms, a diffusion term and reaction rate term. The latter is obtained directly from which itself derived known kinetics, together with modelling assumptions such as the law mass action for well-mixed systems. In formulating reaction-subdiffusion equation, it not sufficient to know equation. It also necessary details even in systems where reactions are limited. This because, at fundamental level, birth death processes need be...