Here is a primitive cancer model that quickly struck to mind.. Let me digg..

There are '

There are '

*T*' number of active white blood cells and there are '*c*' number of cancer cells. Here goes my assumption- Rate of production
*T*cells is fixed. - Natural rate of death
*T*is first order. - Assume a secondary rate of death for
*T*, second order on*T*and*c* - There is fixed nucleation of '
*c*' might be tiny. - First order growth of '
*c*' by cell division. - Second order death of '
*c*' by interaction with*'T'* - and we can assume natural death of '
*c*' which is first order.

With all proportionality constants.

*dT/dt*= A - B*

*T*-C*

*T**

*c*

*dc/dt*= D +

*E**

*c*- F*

*T**

*c*-G*

*c*

From the nature of the cancel cells E>>G so let us assume a constant EG = E-G which is a positive

*dc/dt*= D + EG*

*c*- F*T*

*c*

What other conditions on the co-efficients?

- C << F, just 'cas in general 'T' cells are effective in killing 'c'
- For a not cancer situation, D/
*c*+ EG < F**T* *Equilibrium white blood cells count = A/B, assuming 'c' is not there*- Steady state 'c' cells count = D /(F*T - EG)
- This means, T > EG/F is stable steady state. and T < EG/F is a run way system.

Note: So, by some external decease, if we take T less than EG/F, essentially we are out, assuming our immune system doesn't scale up. That means, A is fixed. One thing I did ignore is the fluctuations that are possible due to C*

ps: I read some info regarding cancer when Steve Jobs died of the same. Above is the summary of the points I picked...

*T*c*

ps: I read some info regarding cancer when Steve Jobs died of the same. Above is the summary of the points I picked...