Source: HMGU

Dr. Judith Perez-Velazquez
Guest Postdoc Fellow


Research Topics

  • Stochastic Modelling of Bacterial Growth and Quorum Sensing
  • Reaction-Diffusion-Convection Systems
  • Travelling wave solutions
  • Cancer Modelling


Pérez-Velazquez, J., Quinones, B. Hense, B and Kuttler, C.
A mathematical model to investigate quorum sensing regulation and its heterogeneity in Pseudomonas syringae on leaves
Ecological Complexity 03/2015; 21. DOI: 10.1016/j.ecocom.2014.12.003

J. Gevertz, J. Perez-Velazquez et al

Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model, Book series: Institute of Mathematics and its applications (IMA) Volumes in Mathematics and its Applications. "Applications of Dynamical Systems in Biology and Medicine", Editors: Ami Radunskaya and Trachette Jackson. Publisher: Springer-Verlag, In press.

J. Perez-Velazquez et al. 

Mathematical Modeling of Tumor-Induced Angiogenesis Using Porous Medium Diffusion

Horger T, Oelker A, Kuttler C, Perez-Velazquez J
International Journal of Biomathematics and Biostatistics, 2(1):145-165, 2013

Stochastic modeling of Pseudomonas syringae growth in the phyllosphere (full-text)
J. Pérez-Velázquez, R. Schlicht, G. Dulla, B.A. Hense, C. Kuttler, S.E. Lindow

Mathematical Biosciences, Volume 239, Issue 1, September 2012, Pages 106-116, ISSN 0025-5564, 10.1016/j.mbs.2012.04.009.

A Non-linear Degenerate Equation for Direct Aggregation and Traveling Wave Dynamics (full-text)
Sánchez-Garduno, Faustino, Philip K. Maini and J. Pérez-Velázquez

J. Discr. Cont. Dyn. Sys. Series B, Volume: 13, Number 2, March 2010

Singular Travelling Waves in a Model for Tumour Encapsulation ( link to full-text)
J. R. King, J. Pérez-Velázquez and H. M. Byrne.
, Discrete and Continuous Dynamical Systems - Series A. Volume: 25 , Issue: 1 , Pages: 195 – 230, September 2009

A Mathematical Model of Cyclin B1 Dynamics at the Single Cell Level in Osteosarcoma Cells (link)
J. Pérez-Velázquez, N. D. Evans, M. J. Chappell, R. J. Errington, P. J. Smith and I. Khan.
, Conference paper for the 17th IFAC World Congress, July 6-11, 2008, Seoul, Korea.

Indistinguishability and Identifiability analysis of mathematical models of the kinetics of the Mur C reaction in the cytoplasmic phase of peptidoglycan biosynthesis
J. Pérez-Velázquez, N.D. Evans, M.J. Chappell , D. Bearup, D. Roper, C. Dowson, T. Bugg.
Conference paper for the 7th IFAC Symposium on Modelling and Control in Biomedical Systems (including Biological Systems)

Indistinguishability and identifiability of kinetic models for the MurC reaction in peptidoglycan biosynthesis ( link to full-text)
J.G. Hattersley, J. Pérez-Velazquez, N.D. Evans, M.J. Chappell , D. Bearup, D. Roper, C. Dowson, T. Bugg.Computer Methods and Programs in Biomedicine

Travelling waves in a mechanical model of tumour encapsulation.
J. Pérez-Velazquez, J. R. King and H. M. Byrne.
In preparation, 2008.

Competitive Exclusion in a Discrete-Time Epidemic Model with Two Competing Strains (full-text)
J. Pérez-Velázquez. Article Number: BU-1514-M, Year: 1999.


Current teaching: Mathematical Modelling of Cancer and Tumour Growth at Technische Universität München.

Participated in the UK Mathematics in Medicine Study Group Nottingham in 2006.

Former member of the Biomedical and Biological Systems Laboratory of the School of Engineering, University of Warwick, UK

Former member of the Centre for Mathematical Medicine and Biology of the University of Nottingham, UK

My link in the Mathematics Genealogy Project

Former research Project to improve mathematics teaching in primary level. Research Project for the National University of Pedagogy, Mexico and the Mexican Research Council of Science and Technology