LACTEA

14.50 meeting with Eda at Carolina

Title of the lecture: Multi-scale mechanobiological model for  mineralized tissues

Subtitle: New developments and applications of a bone remodeling model

Abstract:

Bone tissue is a dynamic system capable of changing its own density in response to bio-mechanical stimuli. The biological system studied herein consists of three cellular types, responsive osteoblasts, active osteoblasts and osteoclasts, and four types of signaling molecules, PTH, TGF-β, RANKL and OPG. This lecture explores the biological response to a specific mechanical stimulus in a cellular model for bone remodeling. Two-dimensional examples are proposed with spatial discretization performed through the finite element method. The temporal evolution of the biological variables and bone density is obtained using the Runge-Kutta method. A computational code named Remold 2D is created in MATLAB. The strain energy density at the microscale served as mechanical stimulus to trigger cellular activity demonstrating the temporal evolution of density distribution in three different models. This distribution is in agreement with other models in the literature. The main contribution of this lecture is to show the coupling of mechanical and biological models in a multiscale framework. Another important fact is that the results can represent the local behavior of the proposed biological variables. The study is a first step in the development of more advanced models to represent the imbalance of bone homeostasis.

(students of ergonomics)

8-11

Title: Diffusion and Convection in the Environment

Subtitle: Solving Partial Differential Equations with Numerical Methods

Abstract:

Transport and fate of substances in the environment is one important topic for measuring the quality of water, air and soil. This lecture shows the basics of the physics of diffusion and advection equations. A formal deduction of this equations is proposed. After it we will do an introduction to numerical solution of PDEs using the programming language Python. We will show how to solve numerically: 1D linear convection, non-linear convection, Diffusion and Burgers equations. Finite-differences schemes are used to discretizing our model equations.

(students of ergonomics)

Tööstustehnika magistrandid