Publications


Since its creation, the members of MaRC have published 36 articles in international peer-reviewed journals, 5 book chapters, 9 articles in full conference proceedings, and 20 abstracts in international and national conferences.

2022
Fokas AS, Dikaios N, Tsiodras S, Kastis GA, Simple formulae, deep learning and elaborate modelling for the Covid-19 pandemic, Encyclopedia 2022; 2(2): 679-689. doi: 10.3390/encyclopedia2020047

Protonotarios NE, Fokas AS, Vrachliotis A, Marinakis V, Dikaios N, Kastis GA, Reconstruction of Preclinical PET Images via Chebyshev Polynomial Approximation of the Sinogram, Appl Sci 2022; 12: 3335. doi: 10.3390/app12073335

Vrachliotis A, Kastis GA, Protonotarios NE, Fokas AS, Nekolla SG, Anagnostopoulos CD, Costaridou L, Gaitanis A, Evaluation of the Spline Reconstruction Technique for Preclinical PET Imaging, Comput Meth Prog Bio 2022; 217:106668. doi: 10.1016/j.cmpb.2022.106668

Protonotarios NE, Katsamenis I, Sykiotis S, Dikaios N, Kastis GA, Chatziioannou SN, Metaxas M, Doulamis N, Doulamis A,  A few-shot U-Net deep learning model for lung cancer lesion segmentation via PET/CT imaging, Biomed Phys Eng Express 2022; 8: 025019. doi: 10.1088/2057-1976/ac53bd

Protonotarios NE, Tzampazidou E, Kastis GA,  Dikaios N, Discrete Shearlets as a Sparsifying Transform in a Low-rank plus Sparse Decomposition for Undersampled (k, t)-space MR Data, J Imaging 2022;8(2):29. doi: 10.3390/jimaging8020029

2021
Untracht GR, Matos RS, Dikaios N, Bapir M, Durrani AK, Butsabong T, Campagnolo P, Sampson DD, Heiss C, Sampson DM, OCTAVA: An open-source toolbox for quantitative analysis of optical coherence tomography angiography images, PLoS ONE 2021; 16: e0261052. doi: 10.1371/journal.pone.0261052

Dikaios N, Protonotarios NE, Fokas AS, Kastis GA, Quantification of T1, T2 relaxation times from Magnetic Resonance Finger-printing radially undersampled data using analytical transformations, Magn Reson Imaging 2021; 80:81-89. doi: 10.1016/j.mri.2021.04.013.

Fokas AS, Kastis GA, SARS-CoV-2: The Second Wave in Europe, J Med Internet Res. 2021; 23(5):e22431. doi: 10.2196/22431.

Fokas AS, Dikaios N, Kastis GA, Covid-19: predictive mathematical formulae for the number of deaths during lockdown and possible scenarios for the post-lockdown period, Proc R Soc A 2021; 477: 20200745. doi:10.1098/rspa.2020.0745.

Lazos D, Collins-Fekete C-A, Bober M, Evans P, Dikaios N, Machine learning for proton path tracking in proton computed tomography, Phys Med Biol 2021; 66 (10): 105013. doi: 10.1088/1361-6560/abf1fd.

Dikaios N, Deep learning magnetic resonance spectroscopy fingerprints of brain tumours using quantum mechanically synthesised data, NMR Biomed 2021; 34(4):e4479. doi: 10.1002/nbm.4479.

N. E. Protonotarios, G. A. Kastis, N Dikaios, A. S. Fokas, “Piecewise Polynomial Inversion of the Radon Transform in Three Space Dimensions via Plane Integration and Applications in Positron Emission Tomography” chapter in Nonlinear Analysis, Differential Equations, and Applications, ed. T.M. Rassias, Springer, pp. 381-396, 2021. doi: 10.1007/978-3-030-72563-1_17

2020
Fokas AS, Dikaios N, Kastis GA, Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2, J R Soc Interface 2020; 17(169):20200494. doi: 10.1098/rsif.2020.0494.

Kalimeris K, Fokas AS, The Modified Helmholtz equation on a regular hexagon—the symmetric Dirichlet problem, Axioms. 2020 Jul 28; 9(3): 89. doi: 10.3390/axioms9030089.

2019
Protonotarios N, Charalambopoulos A, Kastis GA, Kacperski K, Fokas AS, A spline approach to parallel-hole collimator deblurring for aSRT-reconstructed SPECT images, IEEE 19th International Conference on Bioinformatics and Bioengineering (BIBE), 2019; 326–333. doi: 10.1109/BIBE.2019.00065.

Giannakopoulou CE, Sotiriou A, Dettoraki M, Yang M, Perlikos F, Toumpanakis D, Prezerakos G, Koutsourelakis I, Kastis GA, Vassilakopoulou V, Mizi E, Greer JJ, Vassilakopoulos T, Interleukin-10 affects the control of breathing, Am J Physiol Regul Integr Comp Physiol 2019; 317(1):R190–R202. doi: 10.1152/ajpregu.00065.2019.

Protonotarios NE, Kastis GA, Fokas AS, “A new approach for the inversion of the attenuated Radon transform” chapter in Mathematical Analysis and Applications. Rassias T, Pardalos P (eds). Springer Optimization and Its Applications, 2019; 154: Springer, Cham, pp. 433–457. doi: 10.1007/978-3-030-31339-5_16.

2018
Protonotarios NE, Fokas AS, Kostarelos K, Kastis GA, The attenuated spline reconstruction technique for single photon emission computed tomography, J R Soc Interface 2018; 15(148):20180509. doi: 10.1098/rsif.2018.0509.

Tsoukalas C, Psimadas D, Kastis GA, Koutoulides V, Harris AL, Paravatou-Petsotas M, Karageorgou M, Furenlid LR, Moulopoulos LA, Stamopoulos D, Bouziotis P, A novel metal-based imaging probe for targeted dual-modality SPECT/MR imaging of angiogenesis, Front Chem. 2018; 6: 224. doi: 10.3389/fchem.2018.00224.

Papachristou M, Kastis GA, Stavrou PZ, Xanthopoulos S, Furenlid LR, Datseris IE, Bouziotis P, Radiolabelled Methotrexate as a diagnostic agent of inflammatory target sites in patients with rheumatoid arthritis, Mol Med Rep 2018; 17(2):2442–2448. doi:10.3892/mmr.2017.8166.

2017
Protonotarios NE, Fokas AS, Gaitanis A, Kastis GA, aSRT: A new analytic reconstruction algorithm for SPECT, 2016 IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop (NSS/MIC/RTSD), 2016; 1–6. doi: 10.1109/NSSMIC.2016.8069451.

Gaitanis A, Kastis GA, Vlastou E, Bouziotis P, Verginis P, Anagnostopoulos CD, Investigation of image reconstruction parameters of the Mediso NanoScan PC small-animal PET/CT scanner for two different positron emitters under NEMA NU 4-2008 standards, Mol Imaging Biol 2017; 19(4):550–559. doi: 10.1007/s11307-016-1035-9.

Protonotarios NE, Spyrou GM, Kastis GA, Automatic contour determination of multi-object nuclear medicine images, Comput Biol Med. 2017; 85:43–52. doi: 10.1016/j.compbiomed.2017.04.010.

Bountis T, Fokas AS, Psarakis EZ, Fractal analysis of tree paintings by Piet Mondrian (1872-1944), International Journal of Arts and Technology 2017; 10(1):27-42. doi: 10.1504/IJART.2017.083902.

2016
Protonotarios NE, Spyrou GM, Kastis GA, Cumulative sums for edge determination of a single object in PET and SPECT images, 5th International Conference on Mathematical Modeling in Physical Sciences (IC-MSquare 2016), 2016, J Phys: Conf Ser; 738(15):012010. doi: 10.1088/1742-6596/738/1/012010.

Fokas AS, “The unified transform in two dimensions” chapter in Contemporary Mathematics. da Fonseca CM, Van Huynh D, Kirkland S, Tuan VK (eds), 2016; 658, AMS, pp. 167-186. doi: 10.1090/conm/658/13131.

Fokas AS, Kalimeris K, “A novel non-local formulation of water waves” chapter in Lectures on the Theory of Water Waves. Bridges T, Groves M, Nicholls M (eds), 2016, Cambridge University Press, pp 63–77. doi: 10.1017/CBO9781316411155.006.

2015
Fokas AS, Kastis GA, “Mathematical Methods in PET and SPECT Imaging” chapter in Handbook of Mathematical Methods of Imaging, Springer, pp. 903-936, 2015.. doi:10.1007/978-1-4939-0790-8_45.

Vayenas CG, Fokas AS, Grigoriou D, Gravitational mass and Newton's universal gravitational law under relativistic conditions, 4th International Conference on Mathematical Modeling in Physical Sciences (IC-MSquare 2015), 2015; J Phys: Conf Ser; 633:012033. doi: 10.1088/1742-6596/633/1/012033.

Kastis GA, Gaitanis A, Samartzis AP, Fokas AS, The SRT reconstruction algorithm for semiquantification in PET imaging, Med Phys 2015; 42(10):5970–5982. doi: 10.1118/1.4931409.

Lenells J, Fokas AS, The nonlinear Schrödinger equation with t-periodic data: I. Exact results, Proc R Soc A. 2015; 471(2181):20140925. doi: 10.1098/rspa.2014.0925.

Lenells J, Fokas AS, The nonlinear Schrödinger equation with t-periodic data: II. Perturbative results, Proc R Soc A. 2015; 471(2181):20140926. . doi: 10.1098/rspa.2014.0926.

Hashemzadeh P, Fokas AS, Smitheman SA, A numerical technique for linear elliptic partial differential equations in polygonal domains, Proc R Soc A 2015; 471(2175):20140747. doi: 10.1098/rspa.2014.0747.

Dassios G, Fokas AS, Characterization of an acoustic spherical cloak, Inverse Probl. 2015; 31(3):035001. doi: 10.1088/0266-5611/31/3/035001.

2014
Kastis GA, Kyriakopoulou D, Gaitanis A, Fernandez Y, Hutton BF, Fokas AS, Evaluation of the Spline Reconstruction Technique for PET, Med Phys 2014 Apr; 41(4):042501. doi: 10.1118/1.4867862.

Fokas AS, Kalimeris K, Eigenvalues for the Laplace operator in the interior of an equilateral triangle, Comput Methods Funct Theory, 2014; 14(1):1–33. doi: 10.1007/s40315-013-0038-7.

Fokas AS, Kastis GA,  Boundary value problems and medical imaging, 2nd International Conference on Mathematical Modeling in Physical Sciences (IC-MSquare2013), 2014; J Phys: Conf Ser; 490(1): 012017. doi: 10.1088/1742-6596/490/1/012017.

Kastis GA, Kyriakopoulou D, Fokas AS, An analytic reconstruction method for PET based on cubic splines, 2nd International Conference on Mathematical Modeling in Physical Sciences (IC-MSquare2013), 2014; J Phys: Conf Ser; 490(1): 012018. doi: 10.1088/1742-6596/490/1/012128.

Fokas AS, Lenells J, Perturbative and exact results on the neumann value for the nonlinear Schrödinger on the half-line, Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP 2013), 2014; J Phys: Conf Ser; 482(1): 012015.  doi: 10.1088/1742-6596/482/1/012015.

2013
Fokas AS, Glasser ML, The Laplace equation in the exterior of the Hankel contour and novel identities for hypergeometric functions. Proc R Soc A. 2013; 469(2157):20130081. doi: 10.1098/rspa.2013.0081.

Kastis GA, Toumpanakis D, Loverdos K, Anaplioti A, Samartzis A, Argyriou P, Loudos G, Karavana V, Tzouda V, Datseris I, Rontogianni D, Roussos C, Theocharis SE, Vassilakopoulos T, Dose- and time-dependent effects of lipopolysaccharide on technetium-99-m-labeled diethylene-triamine pentaacetatic acid clearance, respiratory system mechanics and pulmonary inflammation, Exp Biol Med (Maywood) 2013; 238(2):209–22. doi: 10.1258/ebm.2012.012313.

2012
Fokas AS, Spence EA, Synthesis, as opposed to separation, of variables. SIAM Rev 2012; 54(2):291–324. doi: 10.1137/100809647.

Fokas AS, Lennels J, The unified method: I. Nonlinearizable problems on the half-line, J Phys A: Math Theor 2012; 45(19):195201. doi: 10.1088/1751-8113/45/19/195201.

Lennels J, Fokas AS, The unified method: II. NLS on the half-line with t-periodic boundary conditions, J Phys A: Math Theor 2012; 45(19):195202. doi: 10.1088/1751-8113/45/19/195202.

Lennels J, Fokas AS, The unified method: III. Nonlinearizable problems on the interval, J Phys A: Math Theor 2012; 45(19):195203. doi: 10.1088/1751-8113/45/19/195203.

Fokas AS, Nachbin A, Water waves over a variable bottom: A non-local formulation and conformal mappings, Journal of Fluid Mechanics 2012; 695:288–309. doi: 10.1017/jfm.2012.19.

Fokas AS, Kurylev Y, Electro-magneto-encephalography for the three-shell model: Minimal L 2-norm in spherical geometry, Inverse Probl 2012; 28(3):035010 doi: 10.1088/0266-5611/28/3/035010.

Crowdy DG, Fokas AS, Green CC, Conformal mappings to multiply connected polycircular arc domains, Comput Methods Funct Theory 2012; 11(2):685–706. doi: 10.1007/bf03321882.

2011
Kastis GA, Gaitanis A, Skouras T, Fokas AS, Evaluation of a spline reconstruction technique for SPECT: Comparison with FBP and OSEM, 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC 2011), 2011; 3950–3954. doi: 3950-3954. doi: 10.1109/NSSMIC.2011.6153751.

2010
Kastis GA, Gaitanis A, Fernandez Y, Kontaxakis G, Fokas AS, Evaluation of a spline reconstruction technique: Comparison with FBP, MLEM and OSEM, 2010 IEEE Nuclear Science Symposium, Medical Imaging Conference (NSS/MIC 2010) and 17th International Workshop on Room-Temperature Semiconductor X-ray and Gamma-ray Detectors (RTSD 2010), 2011; 3282–3287. doi: 10.1109/NSSMIC.2010.5874412.