Lung Cancer

By:Phillip PulleyDavid Shaw Paul Farag

Lung Cancer

Lung cancer is a disease characterized by uncontrolled cell growth in tissues of the lung. If left untreated, this growth can spread beyond the lung in a process called metastasis into nearby tissue or other parts of the body.

• Smoking • Radon Gas• Asbestos• Genetics • Other: Production and

Manufacturing

Causes

Cell Growth Over Time

BAC

Days (x100) Volume (mm3)

1 410

2 375

3 425

4 395

5 350

6 315

7 300

8 305

9 345

10 355

11 360

12 485

13 610

14 925

The most general equation describing the dynamics of tumor growth can be written:

x' = xf(x)x is the cell population size at time t and f(x)

specifies the density dependents of in the proliferation and death of tumor cells.

f(x) = p(x) - d(x)where p(x) is cell proliferation and d(x) is

cell death.

Method

The single equation can be properly used if it incorporates a time-dependent treatment term:

x' = x(p(x) - d(x)) - a[phi](t)xa represents the strength of the

chemotherapeutic agent and phi(t) represents the concentration of the

agent during the treatment schedule

Method

This solves a macro not micro system of cells.

A two equation model is necessary to take into account effector cells and immune cells.

Immune cells play the role of the predator, while the tumor cells are the prey.

Method

x' = x(fx) - dx(x,y)y' = py(x,y) - dy(x,y) - ay(y) + phi(t)x represents size of the tumor cell population and y represents size of

the effector cell population.py(x,y) is the growth term for the immune cells. dy(x,y) is the death

term for the immune cells.ay(y) is the apoptosis term.

Method

phi(t) is the time dependent treatment term.

The result will depend on the interaction of the two equations on each other.

Also, the functions can be reduced to form other functions.

Method

Also, the functions can be reduced to form other functions.

f(x) = a(1-[beta]x)dx(x,y) = nxypy(x,y) = (pxy)/ (g + x)dy(x,y) = mxyay(y) = dyphi(t) = s

Method

Results

A=0.41418153B=0.1262651

a=0.41418153b=0.30485449

Results

Results

http://youtube.com/v/xukDIWFMU9Y

The End

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