I should say that it is possible but in aspects of signalling pathways. You can do it if you focused on just signaling pathways. Which right now I am involved it. Because, majority of research articles in the field of System Biology focused on signaling pathways modeling by mathematics formula.
In my opinion, I think strongly you can do it, but you should separate work in different stages..In the first step, a mathematics model of signaling pathways involve in regeneration can be very helpful.
Some classical articles about connected subjects are the following:
*'A mathematical model for relating the drug sensitivity of tumors to their spontaneous mutation rate', J H Goldie and A J Coldman, Ca Treat Rep Nov dec 1979, PMID 526911
*'Concepts for controlling drug resistant tumor cells', T M Schabel et al. Eur J Ca, 1980. PMID 6947891
*'Optimizing drug regimens in Cancer ChemoTherapy by an efficacy-toxicity mathematical model', Iliadis A, Barbolosi D. comput Biomed res 2000 Jun. PMID 10860586
*'Next generation biobanking of metastasis to enable multidimensional profiling in personalized medicine', Diaz Z et al. Modern Pathol 2013, Nov. PMID 23743930
*'Physical Biology in cancer. 2 The Physical biology of circulating tumor cells' Phillips KG et al. Am J Physiol Cell Physiol 2013 Oct. PMID 24133063
*'Pharmacodynamic biomarkers for molecular cancer therapeutics', Sarker D, Adv Ca res 2007, PMID 17161682
*'Systematic identification of Genome markers of drug sensitivity in cancer cells', Garrett MJ, Nature 2012. PMID 22460902
*'Signatures of mutational processes in human cancer', Alexandrov LB et al. Nature 2013, PMID 23945592
*'The cancer cell line encyclopedia enables predictive modelling of anticancer drug sensitivity', Barretina J, Nature 2012 Mar. PMID 22460905
*'Use of Pharmacokinetic/pharmacodynamic biomarkers to support rational cancer drug design', Sarker D, Biomark Med, 2007 Oct. PMID 20477383
''Optimizing chemotherapy dose and schedule by Norton-Simon mathematical modelling', Traina TA et al. Breast Dis 2010. PMID 20518901
*'Tumor size, sensitivity to therapy and design of treatment schedules', L Norton and R Simon. Ca Treat Rep, Oct 1977, PMID 589597
A connected article, where mathematics were used, appeared in Nature Cancer Reviews, PMID 24561430. 'RadioTherapy: change in schedule', by Sarah Seton-Rogers. It deals with Glioblastoma cell kinetics.
There was a workshop in La Coruna, Spain, entitled: 'Understanding stem cells', organized by the Medical Oncology Service CHU A Coruna (University Hospitalary Complex), connected to GESTO (Grupo de Estudio Stem Cell en Oncologia) headed by dr L M Anton-Aparicio, and having www.congrega.es as Technical Secretariat, however, I was unable to find info about editions of this meeting after the 3d one, in October 2010
You can look up into some system-biology stuffs. As far I know this field works with different kinds of molecular simulations, where there is simulation, there is algorithm...
The publication: 'Oncogenesis', by the 'Nature' group, deals with subjects related to your worries; how much it do actually fit your needs is your decision.
PMID: 24391448 by Wicha MS proposes a new model in Transgenic Mouse to assess Breast cancer Stem Cells; in articles that do not contain an specific mathematical analysis or model, there was a software in the times of 64 k MicroComputers that allowed obtaining a mathematical equation from a data-generated curve by the Chebyshev polynomials method. You never know when an info will find a practical use.
Hi!: some references keep appearing every day on all subjects, regarding this, an old one is PMID 7378677, by Porter EH, 1980: 'The statistics of dose-cure relationship for irradiated tumors. Part I', Br J Radiol, and 'The mathematician versus malignancy', by Elie Dolgin, Nature Medicine, May 2014.
This is the link to the article by Ellie Dolgin, about 'The mathematician vs the malignancy', published in Nature Medicine, May 2014, vol 20, Number 5, 460-463
A mathematician named: Antonio Bru, from the Universidad Complutense de Madrid built a theory applying growth kinetics and the use of G-CSF or GM-CSF as immune stimulant to treat cancer, a claim exists the work being published in 'Phisycal Review', however, as two actual patient cases were involved, and infomation about this appearing in lay press, an official statement from the SEOM presidency (Spanish Society for Medical Oncology) resulted, disacrediting everything connected to the proposal and its author.
The concepts for this: 'therapy', were published, this, as well as 6 more articles from the same author are retrievable in EntrezPubMed