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Proposition of a mathematical model to study the mechanical change of the smooth muscle of the trachea of Wistar rats exposed to formaldehyde solution and subjected to increasing doses of a contractile agent

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Author(s):
Mac Gayver da Silva Castro
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Faculdade de Medicina (FM/SBD)
Defense date:
Examining board members:
Adriano Mesquita Alencar; Henrique Takachi Moriya; Patricia Rieken Macedo Rocco
Advisor: Adriano Mesquita Alencar
Abstract

The viscoelastic properties of the mammalian lung is mainly determined by the mechanical properties, structure and regulation of the airways smooth muscle. The exposure to polluted air may deteriorate these properties with harmful consequences to individual health. Formaldehyde is an important indoor pollutant that permeate through the smooth muscle tissue forming covalent bonds between proteins in the extracellular matrix and intracellular protein structure deteriorating some of the airways smooth muscle functions, changing mechanical properties, and inducing hyperresponsiveness. The first objectives of this work was to develop a two-dimensional viscoelastic network model based on Voronoi tessellation to reproduce some of the mechanical properties of airway smooth muscle at the tissue level. The second objective was to compare the results obtained with our model with those previously observed in tissue strip experiments after the tissue exposure to formaldehyde. Our model simulates the mechanical properties of airway smooth muscle using a set of springs and dashpot. This set of springs and dashpot not only mimic the viscoelastic properties of the smooth muscle but also the cells contractile apparatus. We hypothesize that the formation of covalent bonds, due to the action formaldehyde, can be represented in the model by a simple change in the elastic constant of the springs, while the action of methacholine reduce the size of the spring. Our model is able to reproduce an isometric force measurement, where the smooth muscle is subjected to a titration of a contractile agent, with and without an in vitro exposure to formaldehyde. Thus, our new mechanistic approaches incorporates several well know features of the contractile system of the cells in a tissue level model. The model can also be used in different biological scales (AU)

FAPESP's process: 09/06642-9 - Mechanical effect on samples of smooth muscle after acute exposure to components found in the pollution
Grantee:Mac Gayver da Silva Castro
Support Opportunities: Scholarships in Brazil - Master