Maria Elena Gonzalez, M. Sc. Technische Universität München Forschungseinheit Dynamics Zentrum Mathematik, M8 Boltzmannstraße 3 85748 Garching bei München Telefon: +49.89.289.16843 Raum: 03.04.033 me.gonzaleztum.de

Homepage: Maria Elena Gonzalez Herrero

Sprechstunde: nach Vereinbarung

Research interests:

I am currently a PhD student working under the supervision of Christian Kühn. My interests lie on the modelling and analysis of biological systems from the point of view of dynamical systems and PDEs.

My work mainly focuses on analysing low-dimensional models for cardiomyocytes, in particular in the case of thin two-dimensional domains. For this project we try to combine analytical, numerical and experimental results in orther to obtain a better picture of the cells' behaviour.

Furthermore I am also interested in the interplay between the immune response and stress, where we developed a phenomenolological model to start to understand this connection.

Publications:

• M. E. Gonzalez Herrero, C. Kühn and K. Tsaneva-Atanasova, Reduced Models of Cardiomyocytes’ Excitability: Comparing Karma and FitzHugh-Nagumo , Bulletin of Mathematical Biology 83(8):88, 2021
• M. E. Gonzalez Herrero and C. Kühn, A qualitative mathematical model of the immune response under the effect of stress , Chaos 31, 061104, 2021

Teaching:

• Summer 2022: Exercise class for Applications of Mathematical Biology (Prof. Kuttler, P. Schlicke)
• 2018/19: Developement of Moodle exercises for Analysis 1 and 2 (Prof. Ulbrich, Dr. Lindemann)
• Winter 2018/19: Exercise class for Analysis 1 (Prof. Ulbrich, Dr. Lindemann)
• Summer 2017-2019: Exercise class for "Elementare Anwendungen der Mathematik in Informatik und Ingenieurswissenschaften" (Prof. Friesecke)