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1

Validation of a spatial–temporal soil water movement and plant water uptake model

ROOSE, T., SMETHURST, J., HEPPELL, J., PAYVANDI, S., FLIEGE, J., ZYGALAKIS, K.C.

Journal:

Year:

2014

Language:

english

File:

PDF, 584 KB

english, 2014

2

Analysis of Brownian Dynamics Simulations of Reversible Bimolecular Reactions

Lipková, Jana, Zygalakis, Konstantinos C., Chapman, S. Jonathan, Erban, Radek

Journal:

SIAM Journal on Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 261 KB

english, 2011

3

A Mathematical Model of Water and Nutrient Transport in Xylem Vessels of a Wheat Plant

Payvandi, S., Daly, K. R., Jones, D. L., Talboys, P., Zygalakis, K. C., Roose, T.

Journal:

Bulletin of Mathematical Biology

Year:

2014

Language:

english

File:

PDF, 1.36 MB

english, 2014

4

Fast stochastic simulation of biochemical reaction systems by alternative formulations of the chemical Langevin equation

Mélykúti, Bence, Burrage, Kevin, Zygalakis, Konstantinos C.

Journal:

The Journal of Chemical Physics

Year:

2010

Language:

english

File:

PDF, 425 KB

english, 2010

5

High Weak Order Methods for Stochastic Differential Equations Based on Modified Equations

Abdulle, Assyr, Cohen, David, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Scientific Computing

Year:

2012

Language:

english

File:

PDF, 599 KB

english, 2012

6

A dual porosity model of nutrient uptake by root hairs

K. C. Zygalakis, G. J. D. Kirk, D. L. Jones, M. Wissuwa and T. Roose

Journal:

New Phytologist

Year:

2011

Language:

english

File:

PDF, 1.88 MB

english, 2011

7

Multi-level Monte Carlo methods for the approximation of invariant measures of stochastic differential equations

Giles, Michael B., Majka, Mateusz B., Szpruch, Lukasz, Vollmer, Sebastian J., Zygalakis, Konstantinos C.

Journal:

Statistics and Computing

Year:

2019

Language:

english

File:

PDF, 1.04 MB

english, 2019

8

Accelerating Proximal Markov Chain Monte Carlo by Using an Explicit Stabilized Method

Pereyra, Marcelo, Mieles, Luis Vargas, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Imaging Sciences

Year:

2020

File:

PDF, 1.93 MB

2020

9

Contractivity of Runge--Kutta Methods for Convex Gradient Systems

Sanz Serna, J. M., Zygalakis, K. C.

Journal:

SIAM Journal on Numerical Analysis

Year:

2020

File:

PDF, 363 KB

2020

10

Development and applications of a real-time quantitative RT-PCR method (QRT-PCR) for BRCA1 mRNA

Christos Kroupis, Aliki Stathopoulou, Eleni Zygalaki, Lisa Ferekidou, Maroulio Talieri, Evi S. Lianidou

Journal:

Clinical Biochemistry

Year:

2005

Language:

english

File:

PDF, 296 KB

english, 2005

11

Calculating effective diffusivities in the limit of vanishing molecular diffusion

G.A. Pavliotis, A.M. Stuart, K.C. Zygalakis

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 1.24 MB

english, 2009

12

Endothelin system and atrial fibrillation post-cardiac surgery

Theofilos M. Kolettis, Zenon S. Kyriakides, Eleni Zygalaki, Stamatis Kyrzopoulos, Loukas Kaklamanis, Nikolaos Nikolaou, Evi S. Lianidou, Dimitrios Th. Kremastinos

Journal:

Journal of Interventional Cardiac Electrophysiology

Year:

2008

Language:

english

File:

PDF, 137 KB

english, 2008

13

Expression profile of total VEGF, VEGF splice variants and VEGF receptors in the myocardium and arterial vasculature of diabetic and non-diabetic patients with coronary artery disease

Eleni Zygalaki, Loukas Kaklamanis, Nikolaos I. Nikolaou, Stamatis Kyrzopoulos, Mazen Houri, Zenon Kyriakides, Evi S. Lianidou, Dimitrios Th. Kremastinos

Journal:

Clinical Biochemistry

Year:

2008

Language:

english

File:

PDF, 302 KB

english, 2008

14

Adsorption and desorption dynamics of citric acid anions in soil

E. Oburger, D. Leitner, D. L. Jones, K. C. Zygalakis, A. Schnepf, T. Roose

Journal:

European Journal of Soil Science

Year:

2011

Language:

english

File:

PDF, 740 KB

english, 2011

15

A dual porosity model of nutrient uptake by root hairs

K. C. Zygalakis, G. J. D. Kirk, D. L. Jones, M. Wissuwa, T. Roose

Journal:

New Phytologist

Year:

2011

Language:

english

File:

PDF, 945 KB

english, 2011

16

Numerical Studies of Homogenization under a Fast Cellular Flow

Iyer, Gautam, Zygalakis, Konstantinos C.

Journal:

Multiscale Modeling and Simulation

Year:

2012

Language:

english

File:

PDF, 1.04 MB

english, 2012

17

A mathematical model for investigating the effect of cluster roots on plant nutrient uptake

K. C. Zygalakis, T. Roose

Journal:

The European Physical Journal Special Topics

Year:

2012

Language:

english

File:

PDF, 332 KB

english, 2012

18

A higher-order numerical framework for stochastic simulation of chemical reaction systems

Tamás Székely Jr, Kevin Burrage, Radek Erban, Konstantinos C Zygalakis

Journal:

BMC Systems Biology

Year:

2012

Language:

english

File:

PDF, 492 KB

english, 2012

19

Comparison of the Radical Scavenging Potential of Polar and Lipidic Fractions of Olive Oil and Other Vegetable Oils under Normal Conditions and after Thermal Treatment

Valavanidis, Athanasios, Nisiotou, Christala, Papageorgiou, Yiannis, Kremli, Ioulia, Satravelas, Nikolaos, Zinieris, Nikolaos, Zygalaki, Helen

Journal:

Journal of Agricultural and Food Chemistry

Year:

2004

Language:

english

File:

PDF, 212 KB

english, 2004

20

Mean-squareA-stable diagonally drift-implicit integrators of weak second order for stiff Itô stochastic differential equations

A. Abdulle, G. Vilmart, K. C. Zygalakis

Journal:

BIT Numerical Mathematics

Year:

2013

Language:

english

File:

PDF, 1.40 MB

english, 2013

21

High Order Numerical Approximation of the Invariant Measure of Ergodic SDEs

Abdulle, Assyr, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 925 KB

english, 2014

22

How changing root system architecture can help tackle a reduction in soil phosphate (P) levels for better plant P acquisition

HEPPELL, J., TALBOYS, P., PAYVANDI, S., ZYGALAKIS, K. C., FLIEGE, J., WITHERS, P. J. A., JONES, D. L., ROOSE, T.

Journal:

Plant, Cell & Environment

Year:

2015

Language:

english

File:

PDF, 607 KB

english, 2015

23

A constrained approach to multiscale stochastic simulation of chemically reacting systems

Cotter, Simon L., Zygalakis, Konstantinos C., Kevrekidis, Ioannis G., Erban, Radek

Journal:

The Journal of Chemical Physics

Year:

2011

Language:

english

File:

PDF, 995 KB

english, 2011

24

On the Existence and the Applications of Modified Equations for Stochastic Differential Equations

Zygalakis, K. C.

Journal:

SIAM Journal on Scientific Computing

Year:

2011

Language:

english

File:

PDF, 307 KB

english, 2011

25

Weak Second Order Explicit Stabilized Methods for Stiff Stochastic Differential Equations

Abdulle, Assyr, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 1.11 MB

english, 2013

26

Mathematical Modelling of the Phloem: The Importance of Diffusion on Sugar Transport at Osmotic Equilibrium

Payvandi, S., Daly, K. R., Zygalakis, K. C., Roose, T.

Journal:

Bulletin of Mathematical Biology

Year:

2014

Language:

english

File:

PDF, 769 KB

english, 2014

27

Quantitative Real-Time Reverse Transcription PCR Study of the Expression of Vascular Endothelial Growth Factor (VEGF) Splice Variants and VEGF Receptors (VEGFR-1 and VEGFR-2) in Non Small Cell Lung Cancer

Zygalaki, E., Tsaroucha, E. G., Kaklamanis, L., Lianidou, E. S.

Journal:

Clinical Chemistry

Year:

2007

Language:

english

File:

PDF, 187 KB

english, 2007

28

Real-Time Reverse Transcription-PCR Quantification of Vascular Endothelial Growth Factor Splice Variants

Journal:

Clinical Chemistry

Year:

2005

Language:

english

File:

PDF, 130 KB

english, 2005

29

Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method

Székely, Tamás, Burrage, Kevin, Zygalakis, Konstantinos C, Barrio, Manuel

Journal:

BMC Systems Biology

Year:

2014

Language:

english

File:

PDF, 1.10 MB

english, 2014

30

Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation

Blömker, D, Law, K, Stuart, A M, Zygalakis, K C

Journal:

Year:

2013

Language:

english

File:

PDF, 659 KB

english, 2013

31

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics - Kos, Greece (19–25 September 2012)] - The 3DVAR filter for the Navier-Stokes equation: Accuracy and stability in the limit of high-frequency observations

Blömker, D., Law, K. J. H., Stuart, A. M., Zygalakis, K. C.

Year:

2012

Language:

english

File:

PDF, 1.39 MB

english, 2012

32

Long Time Accuracy of Lie--Trotter Splitting Methods for Langevin Dynamics

Abdulle, Assyr, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

SIAM Journal on Numerical Analysis

Year:

2015

Language:

english

File:

PDF, 475 KB

english, 2015

33

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Discrete Time: MATLAB Programs

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 384 KB

english, 2015

34

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Discrete Time: Filtering Algorithms

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 1.36 MB

english, 2015

35

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Continuous Time: Formulation

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 762 KB

english, 2015

36

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Discrete Time: Formulation

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 953 KB

english, 2015

37

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Mathematical Background

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 300 KB

english, 2015

38

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Continuous Time: Smoothing Algorithms

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 437 KB

english, 2015

39

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Continuous Time: Filtering Algorithms

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 1.12 MB

english, 2015

40

[Texts in Applied Mathematics] Data Assimilation Volume 62 || Discrete Time: Smoothing Algorithms

Law, Kody, Stuart, Andrew, Zygalakis, Konstantinos

Year:

2015

Language:

english

File:

PDF, 683 KB

english, 2015

41

Modelling the optimal phosphate fertiliser and soil management strategy for crops

Heppell, J., Payvandi, S., Talboys, P., Zygalakis, K. C., Fliege, J., Langton, D., Sylvester-Bradley, R., Walker, R., Jones, D. L., Roose, T.

Journal:

Year:

2016

Language:

english

File:

PDF, 1.21 MB

english, 2016

42

Use of a coupled soil-root-leaf model to optimise phosphate fertiliser use efficiency in barley

Heppell, J., Payvandi, S., Talboys, P., Zygalakis, K. C., Langton, D., Sylvester-Bradley, R., Edwards, A. C., Walker, R., Withers, P., Jones, D. L., Roose, T.

Journal:

Year:

2016

Language:

english

File:

PDF, 1.26 MB

english, 2016

43

Entropy, Ergodicity, and Stem Cell Multipotency

Ridden, Sonya J., Chang, Hannah H., Zygalakis, Konstantinos C., MacArthur, Ben D.

Journal:

Physical Review Letters

Year:

2015

Language:

english

File:

PDF, 461 KB

english, 2015

44

Statistical analysis of differential equations: introducing probability measures on numerical solutions

Conrad, Patrick R., Girolami, Mark, Särkkä, Simo, Stuart, Andrew, Zygalakis, Konstantinos

Journal:

Statistics and Computing

Year:

2017

Language:

english

File:

PDF, 2.31 MB

english, 2017

45

Hybrid framework for the simulation of stochastic chemical kinetics

Duncan, Andrew, Erban, Radek, Zygalakis, Konstantinos

Journal:

Journal of Computational Physics

Year:

2016

Language:

english

File:

PDF, 3.49 MB

english, 2016

46

Fast Langevin based algorithm for MCMC in high dimensions

Durmus, Alain, Roberts, Gareth O., Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

The Annals of Applied Probability

Year:

2017

Language:

english

File:

PDF, 739 KB

english, 2017

47

An Explicit Structural Model of Root Hair and Soil Interactions Parameterised by Synchrotron X-ray Computed Tomography

Keyes, Samuel David, Zygalakis, Konstantinos C., Roose, Tiina

Journal:

Bulletin of Mathematical Biology

Year:

2017

Language:

english

File:

PDF, 5.76 MB

english, 2017

48

Uncertainty Quantification in Graph-Based Classification of High Dimensional Data

Bertozzi, Andrea L., Luo, Xiyang, Stuart, Andrew M., Zygalakis, Konstantinos C.

Journal:

SIAM/ASA Journal on Uncertainty Quantification

Year:

2018

Language:

english

File:

PDF, 1.95 MB

english, 2018

49

Noise control for molecular computing

Plesa, Tomislav, Zygalakis, Konstantinos C., Anderson, David F., Erban, Radek

Journal:

Journal of The Royal Society Interface

Year:

2018

Language:

english

File:

PDF, 641 KB

english, 2018

50

Explicit stabilised gradient descent for faster strongly convex optimisation

Eftekhari, Armin, Vandereycken, Bart, Vilmart, Gilles, Zygalakis, Konstantinos C.

Journal:

BIT Numerical Mathematics

Year:

2020

File:

PDF, 4.81 MB

2020