Download Lung Cancer

Lung Cancer
By:
Phillip Pulley
David 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.
Causes
•
•
•
•
•
Smoking
Radon Gas
Asbestos
Genetics
Other: Production and
Manufacturing
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
Method
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)x
a 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) = nxy
py(x,y) = (pxy)/ (g + x)
dy(x,y) = mxy
ay(y) = dy
phi(t) = s
Results
A=0.41418153
B=0.1262651
a=0.41418153
b=0.30485449
Results
Results
The End
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