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Publications and Preprints

Publications

Mathematical biology
  1. V. Suvandjieva, I. Tsacheva, M. Santos, G. Kararigas, P. Rashkov, Modelling the impact of NETosis during the initial stage of Systemic Lupus Erythematosus, to appear in Bull. Math. Biol.
  2. B.W. Kooi, P. Rashkov, E. Venturino (2023), Multi-strain host-vector dengue modeling: dynamics and control, Chapter 6 in: P. Ghaffari (ed.), Bio-mathematics, Statistics, and Nano-Technologies: Mosquito Control Strategies, Chapman and Hall/CRC.
  3. P. Rashkov (2022), Modeling repellent-based interventions for control of vector-borne diseases with constraints on extent and duration. Math Biosci Eng 19(4): 4038-4062.
  4. P. Rashkov (2021), Stability analysis of a model for a vector-borne disease with an asymptomatic class. Proc. 50th Jubilee Spring Conference of the Union of Bulgarian Mathematicians p. 144-149 (PDF)
  5. P. Rashkov (2021), A model for a vector-borne disease with control based on mosquito repellents: a viability analysis. J Math Analysis Appl 498: 124958.
  6. P. Rashkov, B.W. Kooi (2021), Complexity of host-vector dynamics in a two-strain dengue model. J Biol Dynam 15: 35-72.
  7. M. Borisov, G. Dimitriu, P. Rashkov (2019), Modelling the host immune response to mature and immature dengue viruses. Bull Math Biol 81(12): 4951-4976.
  8. P. Rashkov, E. Venturino, M. Aguiar, N. Stollenwerk, B.W. Kooi (2019), On the role of vector modelling in a minimalistic epidemic model. Math Biosci Eng 16(5): 4314-4338.
  9. P. Rashkov (2018), Geometric analysis of a model for cross-feeding in the chemostat. Math Meth Appl Sci 41: 8765-8783.
  10. P. Rashkov (2018), Competition for resources and space contributes to the emergence of drug resistance in cancer. p. 169-183 In: K. Georgiev et al. (eds.), Advanced Computing in Industrial Mathematics, Studies in Computational Intelligence 728, Springer.
  11. P. Rashkov, I.P. Barrett, R.E. Beardmore, C. Bendtsen, I. Gudelj (2016), Kinase inhibition leads to hormesis in a dual phosphorylation-dephosphorylation cycle. PLoS Comput Biol 12 (11): e1005216.
  12. I. Gudelj, M. Kinnersley, P. Rashkov, K. Schmidt, F. Rosenzweig (2016), Stability of cross-feeding polymorphisms in microbial communities. PLoS Comput Biol 12 (12): e1005269.
  13. P. Rashkov (2015), Remarks on pattern formation in a model for hair follicle spacing. Discr Cont Dyn B 20(5): 1555-1572.
  14. P. Rashkov (2014), Regular and discontinuous solutions in a singularly perturbed model for hair follicle spacing. Biomath 3: 1411111.
  15. P. Rashkov, B.A. Schmitt, D. Keilberg, K. Beck, L. Søgaard-Andersen, S. Dahlke (2014), A model for spatio-temporal dynamics in a regulatory network for cell polarity. Math Biosci 258: 189-200.
  16. P. Rashkov, B.A. Schmitt, L. Søgaard-Andersen, P. Lenz, S. Dahlke (2013), A model for antagonistic protein dynamics. Int J Biomath Biostat 2(1): 75-85.
  17. P. Rashkov, B.A. Schmitt, L. Søgaard-Andersen, P. Lenz, S. Dahlke (2012), A model of oscillatory protein dynamics in bacteria. Bull Math Biol 74(9): 2183-2203.
Harmonic analysis
  1. G.E. Pfander, P. Rashkov (2013), Remarks on multivariate Gaussian Gabor frames. Monatsh Math, 172(2): 179-187.
  2. N. Grip, G.E. Pfander, P. Rashkov (2013), A time-frequency criterion for operator identification. Sampl Theory Signal Image Process 12(1): 1-19.
  3. G.E. Pfander, P. Rashkov, Y. Wang (2012), A geometric construction of tight Gabor frames with multivariate compactly supported smooth windows. J Fourier Analysis Appl 18(2): 223-239.
  4. N. Grip, G.E. Pfander, P. Rashkov (2011), Time frequency analysis of operators and operator identification. In: International Conference on Sampling Theory and Applications: 02/05/2011-06/05/2011, Singapore, 2011.
  5. P. Rashkov (2010), Time-frequency localized functions and operators in Gabor analysis. Ph.D. Thesis, Jacobs University, Bremen (Supervisor Prof. Dr. Götz E. Pfander).
  6. N. Grip, G.E. Pfander, P. Rashkov (2010), Identification of time-frequency localized operators. Technical report No. 22, Jacobs University, Bremen.
  7. G.E. Pfander, P. Rashkov (2010), Window design for multivariate Gabor frames on lattices. Technical Report No. 21, Jacobs University, Bremen.
  8. F. Krahmer, G.E. Pfander, P. Rashkov (2009), An open question on the existence of Gabor frames in general linear position. In: Structured Decompositions and Efficient Algorithms, S. Dahlke et al. (Eds.), Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
  9. F. Krahmer, G.E. Pfander, P. Rashkov (2009), Applications of the uncertainty principle for finite Abelian groups to communications engineering. Bulg J Phys, 36(S2): 54-59.
  10. F. Krahmer, G.E. Pfander, P. Rashkov (2008), Uncertainty in time-frequency representations on finite Abelian groups. Appl Comp Harm Analysis, 25(2): 209-225.
  11. F. Krahmer, G.E. Pfander, P. Rashkov (2008), Support size restrictions on time-frequency representations of functions on finite Abelian groups. Proc Appl Math Mech, 8(1): 10825-10826.
  12. F. Krahmer, G.E. Pfander, P. Rashkov (2007), Support size conditions for time-frequency representations on finite Abelian groups. Technical Report No. 13, School of Engineering and Science, Jacobs University, Bremen.
Numerical methods
  1. P. Rashkov (2022), Reduced basis approximation for a spatial Lotka-Volterra model. Mathematics 10(12):1983.
  2. P. Rashkov (2021), A posteriori error analysis for a reduced-basis approximation of two parabolic problems for tumour growth. Научни известия ИМИ-БАН/Scientific Reports of the Institute of Mathematics and Informatics 1/2021, ISSN 1314-541Х (PDF)

Preprints

  1. F. Acotto, V. Suvandjieva, E. Venturino, P. Rashkov, A model for lions-hyenas interactions
  2. M. Khalighi, L. Lahti, F. Ndaïrou, P. Rashkov, D.F.M Torres, Fractional modelling of COVID-19 transmission incorporating asymptomatic and super-spreader individuals