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A work of an spanish applied mathematician, Antonio Brú, has caused a shock here. Spain has a large tradition in the fight against Cancer, and has great sciencists working in this topic.
Take a look at this article:
http://www.biophysj.org/cgi/content/full/85/5/2948
(The Biophysical Society).
I have got surprised how one can apply mathematics to this subject. In particular, if h(x,t) is the position on the tumor or colony border, then there is an equation such as:
[tex] \frac{\partial h(x,t)}{\partial t}=-K\frac{\partial^4 h(x,t)}{\partial x^4}+F+\eta(x,t)[/tex]
which describes the tumor motion, and receives the name "Universal Dynamics of Tumor Growth".
I like very much this stuff about expanding physics and mathematics to other places traditionally dominated by other knowledges. Such a sinergy could cause great advances. As far as news I heard, there have been a proof on a terminal patient, who has recovered sucessfully from a Cancer. He seems to know the exact rate to administrate some inmunizing substance to the patient.
This come to demonstrate in our country there is little money for great laboratories, but there remains great brains who are very useful with pen and paper aside.
Take a look at this article:
http://www.biophysj.org/cgi/content/full/85/5/2948
(The Biophysical Society).
I have got surprised how one can apply mathematics to this subject. In particular, if h(x,t) is the position on the tumor or colony border, then there is an equation such as:
[tex] \frac{\partial h(x,t)}{\partial t}=-K\frac{\partial^4 h(x,t)}{\partial x^4}+F+\eta(x,t)[/tex]
which describes the tumor motion, and receives the name "Universal Dynamics of Tumor Growth".
I like very much this stuff about expanding physics and mathematics to other places traditionally dominated by other knowledges. Such a sinergy could cause great advances. As far as news I heard, there have been a proof on a terminal patient, who has recovered sucessfully from a Cancer. He seems to know the exact rate to administrate some inmunizing substance to the patient.
This come to demonstrate in our country there is little money for great laboratories, but there remains great brains who are very useful with pen and paper aside.
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