This toolbox presents the basic prinicples of analytical probabilistic modeling for scanned particle therapy. Detailed information can be found in:
Analytical probabilistic modeling for radiation therapy treatment planning
Efficiency of analytical and sampling-based uncertainty propagation in intensity-modulated proton therapy
Analytical incorporation of fractionation effects in probabilistic treatment planning for intensity‐modulated proton therapy
Analytical probabilistic modeling of RBE-weighted dose for ion therapy
1D physical depth dose of protons
![1D physical depth dose Alt text](https://github.com/e0404/APMtoolbox/raw/master/pics/APM_1D_physDepth.png?raw=true)
1D RBE weighted depth dose of carbon ions
![1D physical depth dose Alt text](https://github.com/e0404/APMtoolbox/raw/master/pics/APM_1D_bioDepth.png?raw=true)
1D arbitrary physical lateral dose
![1D physical lateral dose Alt text](https://github.com/e0404/APMtoolbox/raw/master/pics/APM_1D_lateral.png?raw=true)