User:MechOfGrowthStudent/sandbox

Biological tissues are highly deformable, non-linear, inelastic, aniostropic, and inhonogenous. Growth of living biological tissue can be modeled using techniques from continuum mechanics.

Governing Equations
There are three major types of equations needed to describe tissue growth: kinematic equations, equilibrium equations, and constitutive equations

Kinematic Equations
$$F = F^e \cdot F^g\,$$

where $$F^e$$ is elastic deformation that is reversible and $$F^g$$ is irreversible tissue growth.

Equilibrium Equations
The general form for the equilibrium equations is: rate of change of a balance quantity = divergence of flux + source term. More specifically

Finite Element Simulations
The general algorithm for solving xxxx

Types of Growth
Different types of growth include