Towards predictive stochastic dynamical modeling of cancer genesis and progression

Based on an innovative endogenous network hypothesis on cancer genesis and progression we have been working towards a quantitative cancer theory along the systems biology perspective. Here we give a brief report on our progress and illustrate that combing ideas from evolutionary and molecular biology, mathematics, engineering, and physics, such quantitative approach is feasible.

[1]  R. Weinberg,et al.  The Biology of Cancer , 2006 .

[2]  Bart Kosko,et al.  Fuzzy Engineering , 1996 .

[3]  D. Hawkins,et al.  Spontaneous remission of congenital leukemia. , 1997, The Journal of pediatrics.

[4]  Peter Raeth,et al.  Book review: Fuzzy Engineering by Bart Kosko (Prentice Hall, 1997) , 1998, SGAR.

[5]  Peter G. Wolynes,et al.  Analyzing single molecule trajectories on complex energy landscapes using replica correlation functions , 1999 .

[6]  Mel Greaves,et al.  Cancer: The Evolutionary Legacy , 2000 .

[7]  Chunyan Miao,et al.  Dynamical cognitive network - an extension of fuzzy cognitive map , 2001, IEEE Trans. Fuzzy Syst..

[8]  C. Reynolds Ras and Seppuku in neuroblastoma. , 2002, Journal of the National Cancer Institute.

[9]  L. Hood,et al.  Calculating biological behaviors of epigenetic states in the phage λ life cycle , 2004, Functional & Integrative Genomics.

[10]  P Ao,et al.  LETTER TO THE EDITOR: Potential in stochastic differential equations: novel construction , 2004 .

[11]  L. Hood,et al.  Calculating biological behaviors of epigenetic states in the phage lambda life cycle. , 2004, Functional & integrative genomics.

[12]  D. Thouless,et al.  Structure of stochastic dynamics near fixed points. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Minping Qian,et al.  Stochastic model of yeast cell-cycle network , 2006, q-bio/0605011.

[14]  L. Yin,et al.  Existence and construction of dynamical potential in nonequilibrium processes without detailed balance , 2006 .

[15]  A. Abdelrazeq Spontaneous regression of colorectal cancer: a review of cases from 1900 to 2005 , 2007, International Journal of Colorectal Disease.

[16]  Timothy C Elston,et al.  Causal mapping as a tool to mechanistically interpret phenomena in cell motility: application to cortical oscillations in spreading cells. , 2006, Cell motility and the cytoskeleton.

[17]  Jin Wang,et al.  Funneled Landscape Leads to Robustness of Cell Networks: Yeast Cell Cycle , 2006, PLoS Comput. Biol..

[18]  P. Ao,et al.  On the existence of potential landscape in the evolution of complex systems , 2007, Complex..

[19]  L. Hood,et al.  Cancer Genesis and Progression as Dynamics in Functional Landscape of Endogenous Molecular-Cellular Network , 2007, 0709.0552.

[20]  Indrani Bose,et al.  Positive feedback, stochasticity and genetic competence , 2007, Physical biology.

[21]  Jie Liang,et al.  Optimal enumeration of state space of finitely buffered stochastic molecular networks and exact computation of steady state landscape probability , 2008, BMC Systems Biology.

[22]  P. R. ten Wolde,et al.  Reaction coordinates for the flipping of genetic switches. , 2007, Biophysical journal.

[23]  L. Hood,et al.  Cancer as robust intrinsic state of endogenous molecular-cellular network shaped by evolution. , 2008, Medical hypotheses.

[24]  Y. Bar-Yam,et al.  Attractors and Democratic Dynamics , 2009, Science.

[25]  L. Hood,et al.  Systems medicine: the future of medical genomics and healthcare , 2009, Genome Medicine.

[26]  Hong Qian,et al.  Stochastic bifurcation, slow fluctuations, and bistability as an origin of biochemical complexity. , 2009, Physical chemistry chemical physics : PCCP.

[27]  H. Heng,et al.  Genetic and epigenetic heterogeneity in cancer: A genome‐centric perspective , 2009, Journal of cellular physiology.

[28]  P. Ao Global view of bionetwork dynamics: adaptive landscape. , 2009, Journal of genetics and genomics = Yi chuan xue bao.

[29]  Bing Su,et al.  Small but influential: the role of microRNAs on gene regulatory network and 3'UTR evolution. , 2009, Journal of genetics and genomics = Yi chuan xue bao.