Synchronized oscillations in growing cell populations are explained by demographic noise

2021 ◽  
Vol 120 (8) ◽  
pp. 1314-1322
Author(s):  
Enrico Gavagnin ◽  
Sean T. Vittadello ◽  
Gency Gunasingh ◽  
Nikolas K. Haass ◽  
Matthew J. Simpson ◽  
...  
2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Hongxing Wu ◽  
Shenghua Wang ◽  
Dengbin Yuan

Transport equation with partly smooth boundary conditions arising in growing cell populations is studied inLp  (1<p<+∞)space. It is to prove that the transport operatorAHgenerates aC0semigroup and the ninth-order remainder termR9(t)of the Dyson-Phillips expansion of the semigroup is compact, and the spectrum of transport operatorAHconsists of only finite isolated eigenvalues with finite algebraic multiplicities in a tripΓω. The main methods rely on theory of linear operators, comparison operators, and resolvent operators approach.


Cell Biology ◽  
2006 ◽  
pp. 291-299 ◽  
Author(s):  
I SOLOVEI ◽  
L SCHERMELLEH ◽  
H ALBIEZ ◽  
T CREMER

2001 ◽  
Vol 1 (4) ◽  
pp. 405-409 ◽  
Author(s):  
F. P. da Costa ◽  
M. Grinfeld ◽  
J. B. McLeod

2010 ◽  
Vol 104 (20) ◽  
Author(s):  
William Mather ◽  
Octavio Mondragón-Palomino ◽  
Tal Danino ◽  
Jeff Hasty ◽  
Lev S. Tsimring

2020 ◽  
Author(s):  
Michael Masterman-Smith ◽  
Nicholas A. Graham ◽  
Ed Panosyan ◽  
Jack Mottahedeh ◽  
Eric E. Samuels ◽  
...  

AbstractBackgroundGlioblastoma is a deadly brain tumor with median patient survival of 14.6 months. At the core of this malignancy are rare, highly heterogenous malignant stem-like tumor initiating cells. Aberrant signaling across the EGFR-PTEN-AKT-mTOR signal transduction pathways are common oncogenic drivers in these cells. Though gene-level clustering has determined the importance of the EGFR signaling pathway as a treatment indicator, multiparameter protein-level analyses are necessary to discern functional attributes of signal propagation. Multiparameter single cell analyses is emerging as particularly useful in identifying such attributes.MethodsSingle cell targeted proteomic analysis of EGFR-PTEN-AKT-mTOR proteins profiled heterogeneity in a panel of fifteen patient derived gliomaspheres. A microfluidic cell array ‘chip’ tool served as a low cost methodology to derive high quality quantitative single cell analytical outputs. Chip design specifications produced extremely high signal-to-noise ratios and brought experimental efficiencies of cell control and minimal cell use to accommodate experimentation with these rare and often slow-growing cell populations. Quantitative imaging software generated datasets to observe similarities and differences within and between cells and patients. Bioinformatic self-organizing maps (SOMs) and hierarchical clustering stratified patients into malignancy and responder groups which were validated by phenotypic and statistical analyses.ResultsFifteen patient dissociated gliomaspheres produced 59,464 data points from 14,866 cells. Forty-nine molecularly defined signaling phenotypes were identified across samples. Bioinformatics resolved two clusters diverging on EGFR expression (p = 0.0003) and AKT/TORC1 activation (p = 0.08 and p = 0.09 respectively). TCGA status of a subset showed genetic heterogeneity with proneural, classical and mesenchymal subtypes represented in both clusters. Phenotypic validation measures indicated drug responsive phenotypes to EGFR blocking were found in the EGFR expressing cluster. EGFR expression in the subset of drug-treated lines was statistically significant (p<.05). The EGFR expressing cluster was of lower tumor initiating potential in comparison to the AKT/TORC1 activated cluster. Though not statistically significant, EGFR expression trended with improved patient prognosis while AKT/TORC1 activated samples trended with poorer outcomes.ConclusionsQuantitative single cell heterogeneity profiling resolves signaling diversity into meaningful non-obvious phenotypic groups suggesting EGFR is decoupled from AKT/TORC1 signalling while identifying potentially valuable targets for personalized therapeutic approaches for deadly tumor-initiating cell populations.


2018 ◽  
Vol 5 (8) ◽  
pp. 180384 ◽  
Author(s):  
Andrew Parker ◽  
Matthew J. Simpson ◽  
Ruth E. Baker

To better understand development, repair and disease progression, it is useful to quantify the behaviour of proliferative and motile cell populations as they grow and expand to fill their local environment. Inferring parameters associated with mechanistic models of cell colony growth using quantitative data collected from carefully designed experiments provides a natural means to elucidate the relative contributions of various processes to the growth of the colony. In this work, we explore how experimental design impacts our ability to infer parameters for simple models of the growth of proliferative and motile cell populations. We adopt a Bayesian approach, which allows us to characterize the uncertainty associated with estimates of the model parameters. Our results suggest that experimental designs that incorporate initial spatial heterogeneities in cell positions facilitate parameter inference without the requirement of cell tracking, while designs that involve uniform initial placement of cells require cell tracking for accurate parameter inference. As cell tracking is an experimental bottleneck in many studies of this type, our recommendations for experimental design provide for significant potential time and cost savings in the analysis of cell colony growth.


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