# Katerina KaouriCardiff University | CU · School of Mathematics

Katerina Kaouri

DPhil in Applied Mathematics

## About

36

Publications

5,260

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96

Citations

Citations since 2017

Introduction

Additional affiliations

Education

October 2000 - January 2005

October 1999 - September 2000

August 1998 - September 1999

## Publications

Publications (36)

When a towed sonar array is straight, it has the difficulty that it cannot distinguish a contact on the left from one at the same angle on the right. When the array is not straight and its shape known, we calculate the probability that the left–right ambiguity is resolved correctly, using the Neyman–Pearson hypothesis testing framework, assuming a...

Embryonic epithelial cells exhibit strong coupling of mechanical responses to chemical signals and most notably to calcium. Recent experiments have shown that the disruption of calcium signals during neurulation strongly correlates with the appearance of neural tube defects. We, thus, develop a multi-dimensional mechanochemical model and use it to...

In embryogenesis, epithelial cells acting as individual entities or as coordinated aggregates in a tissue, exhibit strong coupling between mechanical responses to internally or externally applied stresses and chemical signalling. One of the most important chemical signals in this process is calcium. This mechanochemical coupling and intercellular c...

With the goal of determining strategies to maximise drug delivery to a specific site in the body, we developed a mathematical model for the transport of drug nanocarriers (nanoparticles) in the bloodstream under the influence of an external magnetic field. Under the assumption of long (compared to the radius) blood vessels the Navier-Stokes equatio...

We develop a spatially dependent generalization to the Wells–Riley model, which determines the infection risk due to airborne transmission of viruses. We assume that the infectious aerosol concentration is governed by an advection–diffusion–reaction equation with the aerosols advected by airflow, diffused due to turbulence, emitted by infected peop...

We construct a spatially-compartmental, individual-based model of the spread of SARS-CoV-2 in indoor spaces. The model can be used to predict the infection rates in a variety of locations when various non-pharmaceutical interventions (NPIs) are introduced. Tasked by the Welsh Government, we apply the model to secondary schools and to Further and Hi...

In embryogenesis, epithelial cells, acting as individual entities or as coordinated aggregates in a tissue, exhibit strong coupling between chemical signalling and mechanical responses to internally or externally applied stresses. Intercellular communication in combination with such coordination of morphogenetic movements can lead to drastic modifi...

Vitrification is the most common method of cryopreservation of gametes in fertility clinics due to its improved survival rates compared to slow freezing techniques. For the Open Cryotop® vitrification device, the number of oocytes, or embryos, mounted onto a single device can vary.
In this work, a mathematical model is developed for the cooling of...

Two challenges related to improving the management of the Germasogeia aquifer were presented to the Study Group by the Cyprus Water Development Department (WDD), the public organisation responsible for managing the water resources in Cyprus. The first challenge was how to optimally recharge the aquifer to compensate for the extraction of drinking a...

With the goal of determining strategies to maximise drug delivery to a specific site in the body, a mathematical model for the transport of drug nanocarriers (nanoparticles) in the bloodstream under the influence of an external magnetic field is presented. Under the assumption of long (compared to the radius) blood vessels the Navier-Stokes equatio...

Cancer cells exhibit increased motility and proliferation, which are instrumental in the formation of tumours and metastases. These pathological changes can be traced back to malfunctions of cellular signalling pathways, and calcium signalling plays a prominent role in these. We formulate a new model for cancer cell movement which for the first tim...

This report summarises the work and results produced at the 146th European Study Group with Industry/co-creation event with society on the challenge \textit{Breaking barriers for women in Science}. The aim of this challenge, proposed by the Cyprus-based non-profit AIPFE Cyprus-Women of Europe, was to quantify the barriers that women face in science...

Calcium signalling is one of the most important mechanisms of information propagation in the body. In embryogenesis the interplay between calcium signalling and mechanical forces is critical to the healthy development of an embryo but poorly understood. Several types of embryonic cells exhibit calcium-induced contractions and many experiments indic...

We consider the management of sloping, long and thin, coastal aquifers. We first develop a simple mathematical model, based on Darcy flow for porous media, which gives the water table height, and the flow velocity as a function of the underground seepage rate, the recharge rates and the extraction rates, neglecting sea water intrusion. We then vali...

We consider the management of sloping, long and thin, coastal aquifers. We first develop a simple mathematical model, based on Darcy flow for porous media, which gives the water table height, and the flow velocity as a function of the underground seepage rate, the recharge rates and the extraction rates, neglecting sea water intrusion. We then vali...

Calcium (Ca2+) signalling is one of the most important mechanisms of information propagation in the body. In embryogenesis the interplay between Ca2+ signalling and mechanical forces is critical to the healthy development of an embryo but poorly understood. Several types of embryonic cells exhibit calcium-induced contractions and many experiments i...

Two challenges related to improving the management of the Germasogeia aquifer were presented to the Study Group by the Cyprus Water Development Department (WDD), the public organisation responsible for managing the water resources in Cyprus. The first challenge was how to optimally recharge the aquifer in order to compensate for the extraction of d...

Most of the calcium in the body is stored in bone. The rest is stored elsewhere, and calcium signalling is one of the most important mechanisms of information propagation in the body. Yet, many questions remain open. In this work, we initially consider the mathematical model proposed in Atri et al. \cite{ atri1993single}. Omitting diffusion, the mo...

We consider both the planar and axisymmetric steady, laminar Poiseuille flows of a weakly compressible Newtonian fluid assuming that slip occurs along the wall following Navier’s slip equation and that the density obeys a linear equation of state. A perturbation analysis is performed in terms of the primary flow variables using the dimensionless is...

This report is a summary of the MBA thesis results of Eftychis Tsichlakis who was supervised by Dr Sapuric and me (University of Nicosia). He has worked on forecasting gas prices in Cyprus, using real data in analogous markets.

Motivated by the technology of magnetically targeted drug and gene delivery, in which a magnetic field is used to direct magnetic carrier particles from the circulation to a target site, we develop a continuum model for the motion of particles (magnetic carriers) subject to an external body force (magnetic field) in a flow of a concentrated suspens...

This paper analyses the generic singularities that can occur in wavefields driven by point acoustic sources moving steadily or accelerating in homogeneous or stratified atmospheres. These situations are unified by the result that the strongest wavefields satisfy the Tricomi equation, except in cases of very strong focusing of acoustic rays. The imp...

In this paper, we present the solution of the kinematic wave equation ut+uux=Aδ(x−(t2/2)), with u=1 at t=0. This is a model for a point force accelerating through the sound speed at the sonic time t=1, when its velocity passes through the initial value of u. The linear approximation, when the nonlinearity parameter A is small, yields a singularity...

In this note, we show that the circulation Γ = ƒCu.dx around a closed material curve C(t) in an inviscid gas flow develops according to the equation dΓdt=∫CTdS, even when the curve may cross shocks, with the entropy jumps at the shocks excluded from the right-hand side.

Many diabetics must measure their blood glucose levels regularly to maintain good health. In principle, one way of measuring the glucose concentration in the human body would be by measuring optically the glucose content of the aqueous humor in the eye. Lein Applied Diagnostics came to the 49th European Study Group with Industry with the following...

Primary sonic boom leaves a supersonic aircraft downwards, whereas secondary boom leaves upwards but eventually reflects downwards due to inhomogeneities and/or wind in the upper atmosphere. In contrast to primary boom, secondary boom has hardly been investigated. Data from supersonic operations show that the respective signatures are very differen...

Many studies on primary sonic boom have been conducted, but not much is known about secondary boom. The primary boom leaves the aircraft in the downward direction and is felt on the ground as a rapid change in pressure over less than one second. Secondary boom leaves the aircraft in the upward direction but is then ``reflected'' downwards due to in...

This short conference paper came out of my PhD which was funded by the Sonic Boom European Research Programme (EU, FP5). In this multidisciplinary, multi-country project we studied how secondary sonic booms, which leave the aircraft upwards, may eventually return to the ground after travelling long distances, due to the atmosphere's inhomogeneity (...

This was a report delivered to Unilever after the 43rd European Study Group with Industry at Lancaster (2002). Unilever wanted to better understand the mechanism by which complex material (ice cream) are extruded from an orifice. The report presents the collaborative modelling work we did as a team during the 5 days of the Study Group to tackle thi...

A method is proposed for resolving the left–right ambiguity in passive sonar systems, a problem that arises in source localization when the array is straight. In practice, the array is not straight and a statistical analysis within the Neyman–Pearson framework is developed for a monochromatic signal in the presence of noise, assuming that the exact...

This work was commissioned by Thomson Marconi Sonar (to the University of Oxford) as a continuation of my MSc project on submarine signal processing. The challenge was to identify whether some well established optics methods for sharpening telescope images could work for acoustic signals also. We found similarities and differences and concluded tha...

Thesis (M. Sc.)--Oxford University, 2000. Includes bibliographical references.

## Projects

Projects (4)

Mathematical modelling is a powerful tool for addressing key challenges industry and society are facing today. In this project I will include parts of my work relating to the application of mathematics to real-life problems

Most of calcium is in bones and teeth but the rest of it plays a crucial role as a second messenger in most body functions. We are addressing key questions on the interface of continuum mechanics and calcium signalling.