BME Seminar Series: "A Chemomechanical Model of Feedback and Stress Relaxion in Growing Tissues" by Min Wu, PhD, Mathematical Sciences, WPI

Monday, October 29, 2018
4:00 pm to 5:00 pm
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Min Wu, PhD

Department of Mathematical Sciences

Worcester Polytechnic Institute


Abstract: I will present a new chemomechanical continuum model of growing tissues that incorporates nonlinear elastic stresses and diffusible growth-promoting factors that all together regulate cell behavior. The new system is formulated in the laboratory (Eulerian) frame, where stress relaxation in growing tissues that represents the combined effects of intracellular reorganization processes and local cell rearrangements in the tissue is considered. I will demonstrate that the model recovers linear elastic and fluid models in appropriate parameter regimes. This model is then used to fit experimental data of tumor spheroid growth under different conditions of external compression (in agarose gels). I will show by considering the stress-driven feedback regulation, the data can be better explained than models without considering mechanical feedbacks. In addition, the spatial distribution of stress and net proliferation are predicted. Finally, the effect of stress relaxation and external compression are studied in the parameter space around the fitted parameter values. This work is done in collaboration with Huaming Yan and John Lowengrub.

Bio: Min Wu is Assistant professor in Mathematical Sciences. She graduated from University of California, Irvine in 2012 followed by two postdoctoral appointments in Ecole Normale Superieure, Paris and Northwestern University. She is interested in understanding soft tissue growth control and morphogenetic processes by mathematical and computational modeling. 

Department of Biomedical Engineering
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