Preprints

(Click on a paper for more details and references.)

[9] Eliaš J., Hilhorst D., Mimura M., Large time behaviour of the solution of a nonlinear diffusion problem in anthropology. In preparation.

[8] Eliaš J., Hilhorst D., Mimura M., Morita Y., Singular limit of a Lotka-Volterra reaction-diffusion-ODE system with the superimposed interaction between two Neolithic populations. In preparation.

[7] Eliaš J., Kabir M.H., Mimura M., On the well-posedness of a dispersal model for farmers and hunter-gatherers in the Neolithic transition. In press in Mathematical Models and Methods in Applied Sciences (M3AS).

[6] Eliaš J., Trend to equilibrium for a reaction-diffusion system modelling reversible enzyme reaction. In press in Bulletin of Mathematical Biology.


Publications

(Click on a paper for more details and references.)

[5] Eliaš J., Positive effect of Mdm2 on p53 expression explains excitability of p53 in response to DNA damage, J. Theor. Biol. 418 (2017), pp. 94–104.

[4] Clairambault J., Eliaš J., Diverse spatio-temporal dynamical patterns of p53 and cell fate decisions, AIP Conf. Proc. 1738, 320005 (2016).

[3] Eliaš J., Dimitrio L., Clairambault J., Natalini R., Dynamics of p53 in single cells: physiologically based ODE and reaction–diffusion PDE models, Phys. Biol. 11 (2014) 045001.

[2] Eliaš J., Clairambault J., Reaction-diffusion systems for spatio-temporal intracellular protein networks: a beginner’s guide with two examples, CSBJ 10(16) (2014) 12-22.

[1] Eliaš J., Dimitrio L., Clairambault J., Natalini R., The p53 protein and its molecular network: modelling a missing link between DNA damage and cell fate, Biochimica et Biophysica Acta 1844 (2014) 232-247.


Thesis

(Click on the thesis for more details and references.)

[0] Modélisation mathématique du rôle et de la dynamique temporelle de la protéine p53 après dommages à l'ADN induits par les médicaments anticancéreux (EN: Mathematical model of the role and temporal dynamics of protein p53 after drug-induced DNA damage), defended publicly on Sep 1st, 2015.


Publications in proceedings (works from my master studies)

[-1] Eliaš J., Zítko J., Approximate polynomial GCD. In: Programs and Algorithms of Numerical Mathematics 16, pp. 63–68. Institute of Mathematics AS CR, 2013. Online version is available here.

[-2] Zítko J., Eliaš J., Calculation of the greatest common divisor of perturbed polynomials. In: Programs and Algorithms of Numerical Mathematics 16, pp. 215–222. Institute of Mathematics AS CR, 2013. Online version is available here.

[-3] Zítko J., Eliaš J., Application of the rank revealing algorithm for the calculation of the GCD. In: SNA’12 Seminar on Numerical Analysis, pp. 175–180. Technická Univerzita v Liberci, Liberec, 2012.