I received my BSc and MSc in Mathematics from the St-Petersburg State University, Russia (Department of Applied Mathematics and Control Processes) in 2000. My MSc Dissertation, co-supervised by mathematicians from the St-Petersburg Department of Steklov’s Mathematical Institute, was focused on the approximation of wave behaviour in the diffraction theory applied to the object with curvature jump at the boundary.
I then moved to the UK in 2001 and obtained my PhD from the Loughborough University in 2005. My research was concentrated on inverse problems for boundary value problems on complex bodies. I also continued my collaboration with the Steklov’s Institute, investigating wave behaviour for various complex matrices (interfaces, layers, insertions, etc.) in acoustics, elasticity, as well as electromagnetic media.
In 2006 I received the EPSRC Postdoctoral Fellowship and started independent research at the University of Edinburgh expanding my research fields to control and optimisation problems, with the aim to produce computational scheme for applications in medicine for non-invasive tumour testing and improved tumour destruction protocols.
In 2010 I moved to the University of Glasgow, where I worked for 3 years as a Lecturer in Mathematics. During my stay at the University of Glasgow, I also completed Master's Programme in Academic Teaching and became a Fellow of the Higher Education Academy.
I joined the Department of Mathematics and Computer Science at the Liverpool Hope University in September 2013. My current research projects are concentrated on different types of wave propagation problems in various media with inhomogeneities.
In August 2018, I joined Computing Science and Mathematics Department at the University of Stirling as a Lecturer in Mathematics.
In addition, since 2000 I am a member of the Organising Committee and also a member of the Editorial Board of the Proceedings of the Annual International Conference 'Days on Diffraction' held in St-Petersburg, Russia.
Event / Presentation
BAMC/BMC 2021 presentation I gave a talk titled "Construction of artificial point sources for linear wave equation and application for inverse problems" at BAMC/BMC conference, 7.04.2021
I gave a talk at the annual international conference "Days on Diffraction 2021" http://www.pdmi.ras.ru/~dd/ Presentation on the annual international conference "Days on Diffraction 2021".
We consider plane wave diffraction from a prolate body of revolution. The ray field is a solution to Helmholtz equation with either Dirichlet or Neumann boundary conditions. The field in the illuminated area was used to construct the wave field in the shadow zone. Numerical comparison of the currents and their asymptotics was presented between different zones around the obstacle.
Invited expert at QSP Workshop, Fields Institute, Toronto (online) July 2020 http://www.fields.utoronto.ca/…ystems-modelling 2020 Systems Modelling in the Pharmaceutical Industry - Problem Solving Workshop
This workshop aims to equip graduate students and postdoctoral fellows in mathematics and related disciplines with the tools necessary to solve common problems encountered in the pharmaceutical industry. The focus will be on development of pharmacometric skills to approach questions centred on drug development and dose/therapy optimization using a variety of state-of-the-art quantitative systems pharmacology (QSP) methodologies. Participants will receive training in QSP approaches, including the principles of pharmacokinetics and pharmacodynamics (PK/PD), from academic and industrial researchers, and will apply these techniques in groups to solve a set of problems brought by industry partners. At the end of the week, participants will be able to identify the main components of a pharmaceutical problem through a QSP lens, translate these elements mathematically, analyze/numerically implement and solve the resulting mathematical model, and deliver results (visually and textually) to non-mathematicians. Ultimately, participants will gain understanding into the factors that are key to mathematical modelling in the pharmaceutical industry and be trained in modern QSP approaches.
Due to Covid-19, this year we are holding a virtual seminar event on July 16 12.00-15.00 instead of one-week in-person workshop. Any plans for future one-week workshop in the summer of 2021 will be announced later in the year.
Other Academic Activities
Member of the Editorial Board of the Proceedings of IEEE annual international conference
Invited research visitor (host Prof Matti Lassas), November 2018, one week. University of Helsinki, Finland Invited research visitor (host Prof Matti Lassas), one week. University of Helsinki, Finland
Invited reviewer for the special issue Invited reviewer for the special issue at The Journal of Progress in Biophysics and Molecular Biology (PBMB) on 'Quantitative Systems Pharmacology (QSP): Methods and Tools'.
Invited Research Visitor CalTech (host Prof. A. Borodin) California Institute of Technology Research visit
Invited research visitor (Sapporo University, host Prof. Gen Nakamura) Research visit to the university of Sapporo, Japan
Invited research visitor (host Prof Matti Lassas), June 2019, one week. University of Helsinki, Finland
Invited research visitor (host Prof Matti Lassas), December 2018, one week. University of Helsinki, Finland Invited research visitor (host Prof Matti Lassas), one week. University of Helsinki, Finland
Invited Project Lead at QSP Workshop, Fields Institute, Toronto, Canada, Aug 2019 http://www.fields.utoronto.ca/…systems-modeling Invited Project Lead at Systems Modeling in the Pharmaceutical Industry - Problem Solving Workshop, Fields Institute, Toronto, Canada
Invited panel expert at QPS event, the University of Oxford Invited panel expert in mathematical modelling at Quantitative Systems Pharmacology (QSP) UK Satellite meeting on "Quantitative systems pharmacology: is there a case for model reduction?" at the University of Oxford, UK
Invited panel expert AMR event, Loughborough University https://www.lboro.ac.uk/research/amr/ Invited panel expert in mathematical modelling on one of the events organised by Antimicrobial Resistance Research at Loughborough University
Research visit (host Dr Anna Sher, MD), Cambridge, Boston, USA
I am interested in various applications of mathematical modelling related to the investigation of wave propagation in various multi-component/non-homogeneous/layered structures, including inverse problems in relations with PDEs, Wave focusing in unknown media, applied analysis of PDEs, global analysis, asymptotical methods and numerical analysis of wave propagation, distributions of eigenvalues of Laplacians, wave propagation in inhomogeneous elasticity, diffraction problems. I am also involved in a number of research projects with other disciplines, such as computer science, chemical engineering, pharmacology, and psychology.
Kirpichnikova A, Korpela J, Lassas M & Oksanen L (2021) Construction of Artificial Point Sources for a Linear Wave Equation in Unknown Medium. SIAM Journal on Control and Optimization. https://www.siam.org/publications/journals/siam-journal-on-control-and-optimization-sicon
Gromova E, Kireev S, Lazareva A, Kirpichnikova A & Gromov D (2021) MANET performance optimization using network-based criteria and unmanned aerial vehicles. Journal of Sensor and Actuator Networks, 10 (1), Art. No.: 8. https://doi.org/10.3390/jsan10010008
Kirpichnikova A & Kirpichnikova N (2020) Creeping waves in the shadow region with the Dirichlet and Neumann conditions. In: Motygin O, Kiselev A, Goray L, Fedotov A, Ya Kazakov A & Kirpichnikova A (eds.) Proceedings of the International Conference Days on Diffraction 2019. Days on Diffraction 2019, St. Petersburg, Russia, 03.06.2019-07.06.2019. Piscataway, NJ: IEEE, pp. 89-93. https://doi.org/10.1109/DD46733.2019.9016422
Blakeway S, Kirpichnikova A, Schaeffer M & Secco EL (2019) Transmission Power and effects on energy consumption and performance in MANET. EAI Endorsed Transactions on Mobile Communications and Applications, 19 (16), Art. No.: e2. https://doi.org/10.4108/eai.13-7-2018.159336
Kirpichnikova AS & Kirpichnikova NY (2019) Leontovich-Fock Parabolic Equation Method in the Neumann Diffraction Problem on a Prolate Body of Revolution. Journal of Mathematical Sciences, 238 (5), pp. 658-675. https://doi.org/10.1007/s10958-019-04265-2
Blakeway S, Gromov D, Gromova E, Kirpichnikova A & Plekhanova T (2019) Increasing the performance of a Mobile Ad-hoc Network using a game-theoretic approach to drone positioning [Game Theoretic approach to increasing MANET performance]. Vestnik of Saint Petersburg University Applied Mathematics. Computer Science. Control Processes, 15 (1), pp. 22-38. http://vestnik.spbu.ru/ENG/s10.html
Kirpichnikova A & Kirpichnikova N (2018) Comparison of the currents in the Dirichlet and Neumann shortwave diffraction problems of a plane wave from smooth prolate bodies of revolution. In: Proceedings of the International Conference Days on Diffraction 2018. Days on Diffraction 2018, Saint-Petersburg, Russia, 04.06.2018-08.06.2018. St Petersburg: Institute of Electrical and Electronics Engineers, pp. 161-167. https://doi.org/10.1109/DD.2018.8553047
Plekhanova T, Gromova E, Gromov D, Blakeway S & Kirpichnikova A (2017) The strategic placement of mobile agents on a hexagonal graph using game theory. In: 2017 XXVI International Conference on Information, Communication and Automation Technologies (ICAT). 2017 XXVI International Conference on Information, Communication and Automation Technologies (ICAT), Sarajevo, Bosnia-Herzegovina, 26.10.2017-28.10.2017. Piscataway, NJ, USA: IEEE, pp. 1-6. https://doi.org/10.1109/icat.2017.8171635
Walton J, Blakeway S & Kirpichnikova A (2016) An Analysis of MANET Routing Protocol Performance for an Interactive User Engaging Quiz. In: 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS). 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS), Riga, Latvia, 01.06.2016-03.06.2016. Piscataway, NJ, USA: IEEE, pp. 147-152. https://doi.org/10.1109/sims.2016.24
Gromova E, Gromov D, Timonin N, Kirpichnikova A & Blakeway S (2016) A Dynamic Game of Mobile Agent Placement in a MANET. In: 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS). 2016 International Conference on Systems Informatics, Modelling and Simulation (SIMS), Riga, Latvia, 01.06.2016-03.06.2016. unpublished: IEEE. https://doi.org/10.1109/sims.2016.25
Kirpichnikova NY & Kirpichnikova AS (2012) Reflection and refraction from a vertical layer of surface SH waves radiated from a point source on a boundary free of tensions. Journal of Mathematical Sciences, 185 (4), pp. 596-604. https://doi.org/10.1007/s10958-012-0943-8
Kirpichnikova NY & Kirpichnikova AS (2011) Boundary layer method in the problem of far propagation of surface SV-waves. Journal of Mathematical Sciences, 175 (6), pp. 651-671. https://doi.org/10.1007/s10958-011-0381-z
Kirpichnikova A (2010) Inverse Problem for Anisotropic Riemannian Polyhedra: Inverse Boundary Spectral Problem for Piecewise Smooth Anisotropic Riemannian Polyhedra: Uniqueness. Berlin: VDE Verlag. https://www.omniscriptum.com/
Dahl MF, Kirpichnikova A & Lassas M (2009) Focusing Waves in Unknown Media by Modified Time Reversal Iteration. SIAM Journal on Control and Optimization, 48 (2), pp. 839-858. https://doi.org/10.1137/070705192
Philippov VB, Kirpichnikova NY & Kirpichnikova A (2003) Diffraction of the Electromagnetic Wave on a Small Obstacle of Elliptic Form in a Layer. Journal of Mathematical Sciences, 117 (2), pp. 4028-4033. https://doi.org/10.1023/a%3A1024687313090
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2002) Diffraction of Electromagnetic Waves on an Impedance Interface between Two Media with Different Perturbations in Impedance. Journal of Mathematical Sciences, 111 (4), pp. 3678-3690. https://doi.org/10.1023/a%3A1016381808828
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2002) Diffraction of Creeping Waves by a Line of Jump of Curvature (a Three-Dimensional Acoustic Medium). Journal of Mathematical Sciences, 108 (5), pp. 689-702. https://link.springer.com/article/10.1023/A:1013247112086; https://doi.org/10.1023/a%3A1013247112086
Kirpichnikova NY, Philippov VB & Kirpichnikova A (2000) Diffraction of electromagnetic waves from the impedance with different perturbations. International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450), Saint-Petersburg, Russia, 29.05.2000-01.06.2000. https://ieeexplore.ieee.org/document/902356/; https://doi.org/10.1109/dd.2000.902356
Kirpichnikova A & Philippov VB (2000) Diffraction by a line of jump of curvature (a special case). International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450), Saint-Petersburg, Russia, 29.05.2000-01.06.2000. https://ieeexplore.ieee.org/document/902357/; https://doi.org/10.1109/dd.2000.902357
Philippov VB, Kirpichnikova NY & Kirpichnikova A (1999) Effects of diffraction of a creeping wave from a line of jump of curvature. In: unknown. International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367), 01.06.1999-03.06.1999. Saint-Petersburg, Russia: IEEE, pp. 87-96. https://ieeexplore.ieee.org/document/816187/; https://doi.org/10.1109/dd.1999.816187
Teaching Responsibilities: Undergraduate teaching in year 2 (Complex Analysis and Stochastic Processes), tutorials for Statistics, Postgraduate teaching: design and delivery on Mathematics and Data Science programme (Modelling in Medical Settings)
Administrative Responsibilities: Computer Science and Mathematics Department representative at GUEP
Research Interests: inverse problems, wave propagation and focusing in complex known and unknown media, performance and energy optimization of networks, bacteria-phage interaction modelling, quantitative systems pharmacology
Personal Development and Training: New Lecturer and Teacher Programme (equivalent of PGCap). This is a two-year Master level Programme for the newly appointed lecturers. Fellowship of Higher Education Academy after completing (completed in August 2012). Equality and Diversity at Workplace; Fire training, GDRP (data protection) training, Autistic spectrum conditions; how do they impact on the student journey and what effective adjustments can be made? Psychology: An Introduction (20 credits, SCQF level 7), The psychology of addictions (20 credits, SCQF level 7), Introduction to Art Psychotherapy (40 credits, SCQF level 7).