A5062650303- Mathematical and Theoretical Epidemiology and Ecology Models
- Mathematical Biology Tumor Growth
- Nonlinear Dynamics and Pattern Formation
- Evolution and Genetic Dynamics
- COVID-19 Clinical Research Studies
- Long-Term Effects of COVID-19
- Wound Healing and Treatments
- Cellular Mechanics and Interactions
- Protease and Inhibitor Mechanisms
- Ecosystem dynamics and resilience
- Respiratory Support and Mechanisms
- Coffee research and impacts
- Opinion Dynamics and Social Influence
- Tendon Structure and Treatment
- Complex Network Analysis Techniques
- Evolutionary Game Theory and Cooperation
- Fractional Differential Equations Solutions
- Advanced Mathematical Modeling in Engineering
- stochastic dynamics and bifurcation
- Food Drying and Modeling
- Microtubule and mitosis dynamics
- COVID-19 and Mental Health
- Gene Regulatory Network Analysis
- Vibration and Dynamic Analysis
- Slime Mold and Myxomycetes Research
University of Nottingham
2019-2025
Queensland University of Technology
2018-2020
University of Oxford
2016-2019
Understanding the biochemistry and pharmacodynamics of chronic wounds is key importance, due to millions people in UK affected significant cost NHS. Chronic are characterised by elevated concentrations matrix metalloproteinases (MMPs) that destroy surrounding extracellular (ECM). However, fibroblasts can produce tissue inhibitors MMPs (TIMPs) order regulate wound healing. Therefore, role TIMPs both acute needs be properly understood develop therapeutic treatments. In this work, we propose a...
While the pathological mechanisms in COVID-19 illness are still poorly understood, it is increasingly clear that high levels of pro-inflammatory mediators play a major role clinical deterioration patients with severe disease. Current evidence points to hyperinflammatory state as driver respiratory compromise disease, trajectory resembling acute distress syndrome, but how this ‘runaway train’ inflammatory response emerges and maintained not known. Here, we present first mathematical model...
Abstract Background Multiple early hospital cohorts of coronavirus disease 2019 (COVID-19) showed that patients with chronic respiratory were significantly under-represented. We hypothesised the widespread use inhaled glucocorticoids was responsible for this finding and tested if glucorticoids would be an effective treatment COVID-19 illness. Methods conducted a randomised, open label trial budesonide, compared to usual care, in adults within 7 days onset mild Covid-19 symptoms. The primary...
Abstract The Allee effect describes populations that deviate from logistic growth models and arises in applications including ecology cell biology. A common justification for incorporating effects into population is the question has altered mechanisms at some critical density, often referred to as a threshold . Despite ubiquitous nature of arising various biological applications, explicit link between local global not been considered. In this work, we examine continuum model incorporates...
We demonstrate unusual effects due to the addition of advection into a two-species reaction-diffusion system on sphere. find that introduces emergent behavior an interplay traditional Turing patterning mechanisms with compact geometry Unidirectional within space causes patterns be generated at one point sphere, and transported antipodal where they are destroyed. illustrate these numerically deduce conditions for instabilities local projections understand behind behaviors. compare this planar...
Understanding how cells proliferate, migrate and die in various environments is essential determining organisms develop repair themselves. Continuum mathematical models, such as the logistic equation Fisher–Kolmogorov equation, can describe global characteristics observed commonly used cell biology assays, proliferation scratch assays. However, these continuum models do not account for single-cell-level mechanics high-throughput experiments. Mathematical modelling frameworks that represent...
We present a solid theoretical foundation for interpreting the origin of Allee effects by providing missing link in understanding how local individual-based mechanisms translate to global population dynamics. were originally proposed describe dynamics that cannot be explained exponential and logistic growth models. However, standard methods often calibrate effect models match observed without any mechanistic insight. By introducing stochastic model, with proliferation, death motility rates...
We examine travelling wave solutions of the Porous–Fisher model, , with a Stefan-like condition at moving front, . Travelling this model have several novel characteristics. These solutions: (i) move speed that is slower than more standard ; (ii) never lead to population extinction; (iii) compact support and well-defined (iv) profiles an infinite slope front. Using asymptotic analysis in two distinct parameter regimes, we obtain closed-form mathematical expressions for shape speed....
Abstract We examine travelling wave solutions of the reaction–diffusion equation, <?CDATA ${\partial }_{t}u=R\left(u\right)+{\partial }_{x}\left[D\left(u\right){\partial }_{x}u\right]$?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi>∂</mml:mi> </mml:mrow> <mml:mi>t</mml:mi> </mml:msub> <mml:mi>u</mml:mi> <mml:mo>=</mml:mo> <mml:mi>R</mml:mi> <mml:mo stretchy="false">(</mml:mo> stretchy="false">)</mml:mo>...
Recent modeling of coffee bean roasting suggests that in the early stages roasting, within each bean, there are two emergent regions: a dried outer region and saturated interior region. The regions separated by transition layer (or, drying front). In this paper, we consider asymptotic analysis recent multiphase model order to gain better understanding its salient features. consists PDE system governing thermal, moisture, gas pressure profiles throughout bean. By obtaining expansions for...
A linear stability analysis of localized spike solutions to the singularly perturbed two-component Gierer--Meinhardt (GM) reaction-diffusion (RD) system with a fixed time delay $T$ in nonlinear reaction kinetics is performed. Our this model motivated by computational study Lee, Gaffney, and Monk [Bull. Math. Bio., 72 (2010), pp. 2139--2160] on effect gene expression delays spatial patterning for both GM some related RD models. It shown that properties such are characterized discrete spectra...
Abstract We present a solid theoretical foundation for interpreting the origin of Allee effects by providing missing link in understanding how local individual-based mechanisms translate to global population dynamics. were originally proposed describe dynamics that cannot be explained exponential and logistic growth models. However, standard methods often calibrate effect models match observed without any mechanistic insight. By introducing stochastic model, with proliferation, death,...
We derive a multiphase, moving boundary model to represent the development of tissue in vitro porous engineering scaffold. consider cell, extra-cellular liquid and rigid scaffold phase, adopt Darcy's law relate velocity cell phases their respective pressures. Cell-cell cell-scaffold interactions which can drive cellular motion are accounted for by utilising relevant constitutive assumptions pressure phase. reduce nonlinear reaction-diffusion equation coupled condition edge, diffusivity being...
<b>Background:</b> Multiple early hospital cohorts of coronavirus disease 2019 (COVID-19) showed that patients with chronic respiratory were significantly under-represented. We hypothesised the widespread use inhaled glucocorticoids was responsible for this finding and tested if glucorticoids would be an effective treatment COVID-19 illness. <b>Methods:</b> conducted a randomised, open label trial budesonide, compared to usual care, in adults within 7 days onset mild Covid-19 symptoms. The...
Understanding the biochemistry and pharmacodynamics of chronic wounds is key importance, due to millions people in UK affected significant cost NHS. Chronic are characterised by elevated concentrations matrix metalloproteinases (MMPs) that destroy surrounding extracellular (ECM). However, fibroblasts can produce tissue inhibitors MMPs (TIMPs) order regulate wound healing. Therefore, role TIMPs both acute needs be properly understood develop therapeutic treatments. In this work, we propose a...
Background: Multiple early hospital cohorts of coronavirus disease 2019 (COVID-19) showed that patients with chronic respiratory were significantly under-represented. We hypothesised the widespread use inhaled glucocorticoids was responsible for this finding and tested if glucorticoids would be an effective treatment COVID-19 illness. Methods: conducted a randomised, open label trial budesonide, compared to usual care, in adults within 7 days onset mild Covid-19 symptoms. The primary end...
Abstract Humanity has known about – and been fascinated by the connection between mind body since time immemorial, yet we have only able to quantitatively explore their interactions in recent years. Even so, this field of neuroimmunology, broadly conceived, is categorically its infancy. Despite myriad diverse experimental reports, no coherent theoretical approach neuroimmune system even attempted, which makes it difficult make sense emerging empirical findings. Here, take first steps towards...
We study the spectrum of a new class nonlocal eigenvalue problems (NLEPs) that characterize linear stability properties localized spike solutions to singularly perturbed two-component Gierer-Meinhardt (GM) reaction-diffusion (RD) system with fixed time-delay $T$ in only nonlinear autocatalytic activator kinetics. Our analysis this model is motivated by computational Seirin Lee et al. [Bull. Math. Bio., 72(8), (2010)] on effect gene expression time delays spatial patterning for both GM and...
The coffee industry relies on fundamental research to improve the techniques and processes related its products. While recent theoretical modelling work has focused heat mass transfer within roasting beans, analysis of chemical reactions in context multiphase models beans not been well studied. In this paper, we incorporate modified evaporation rates reaction groups existing mathematical beans. We model phase change from liquid vapour water bean during using first-order Arrhenius-like global...