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A reduced Gompertz model for predicting tumor age using a population approach [article]

C. Vaghi, A. Rodallec, R. Fanciullino, J. Ciccolini, J. Mochel, M. Mastri, C. Poignard, J. ML Ebos, S. Benzekry
2019 bioRxiv   pre-print
Combining the mixed-effects approach with Bayesian inference, we predicted the age of individual tumors with only few late measurements.  ...  Experimental data comprised three animal models of breast and lung cancers, with 843 measurements in 94 animals. Candidate models of tumor growth included the Exponential, Logistic and Gompertz.  ...  past or future tumor growth kinetics based on proliferation assays, derived 374 for example from a patient's tumor sample. 375 The reduced Gompertz model, combined to Bayesian estimation from the population  ... 
doi:10.1101/670869 fatcat:u37eupw3nzgh5l72jn7frfsfpq

Population modeling of tumor growth curves and the reduced Gompertz model improve prediction of the age of experimental tumors

Cristina Vaghi, Anne Rodallec, Raphaëlle Fanciullino, Joseph Ciccolini, Jonathan P. Mochel, Michalis Mastri, Clair Poignard, John M. L. Ebos, Sébastien Benzekry, Z Agur
2020 PLoS Computational Biology  
We analyzed tumor growth kinetics within the statistical framework of nonlinear mixed-effects (population approach).  ...  Candidate models of tumor growth included the exponential, logistic and Gompertz models.  ...  Prediction of the age of a tumor Considering the increased robustness of the reduced Gompertz model (one individual parameter less than the Gompertz model), we further investigated its potential for improvement  ... 
doi:10.1371/journal.pcbi.1007178 pmid:32097421 fatcat:jz6jnuyxpzhgfazodsxh5dt6ya

Stressors and antistressors: how do they influence life span in HER-2/neu transgenic mice?

Ganna V. Semenchenko, Vladimir N. Anisimov, Anatoli I. Yashin
2004 Experimental Gerontology  
Parameters of the model help to describe the possible influences of various stressors, geroprotectors, and their dosage on the life span of laboratory animals.  ...  The unique design of the experiments makes it possible to compare the effects on survival produced by different treatments in terms of changes in population heterogeneity and underlying hazard.  ...  Acknowledgements The authors thank Mr Craig Meulen and Ms Susann Backer for the English language editing services.  ... 
doi:10.1016/j.exger.2004.08.007 pmid:15501020 fatcat:saytzriepnfetlp3lcwc56ciqm

Development and evaluation of a method for tumor growth simulation in virtual clinical trials of breast cancer screening

Hanna Tomic, Anna Bjerkén, Gustav Hellgren, Kristin Johnson, Daniel Förnvik, Sophia Zackrisson, Anders Tingberg, Magnus Dustler, Predrag R. Bakic
2022 Journal of Medical Imaging  
screening based on tumor aggressiveness.  ...  Purpose: Image-based analysis of breast tumor growth rate may optimize breast cancer screening and diagnosis by suggesting optimal screening intervals and guide the clinical discussion regarding personalized  ...  (The content is solely the responsibility of the author and does not necessarily represent the official view of the EC or NIH.) The authors would like to acknowledge Bruno Barufaldi and Andrew D.A.  ... 
doi:10.1117/1.jmi.9.3.033503 pmid:35685119 pmcid:PMC9168969 fatcat:7ntlsrwogjb53b6kp42tejdkgq

Breast cancer tumor growth estimated through mammography screening data

Harald Weedon-Fekjær, Bo H Lindqvist, Lars J Vatten, Odd O Aalen, Steinar Tretli
2008 Breast Cancer Research  
Studies of tumor growth rates in humans are usually based on small and selected samples.  ...  In the present study based on the Norwegian Breast Cancer Screening Program, tumor growth was estimated from a large population using a new estimating procedure/model.  ...  about the NBCSP and the corresponding database, and Bjørn Ove Maehle for allowing us to use the Haukeland dataset on clinical tumor sizes.  ... 
doi:10.1186/bcr2092 pmid:18466608 pmcid:PMC2481488 fatcat:obi25dzqr5cdxkqi2fdidr3diy

Growth rate of early-stage hepatocellular carcinoma in patients with chronic liver disease

Chansik An, Youn Ah Choi, Dongil Choi, Yong Han Paik, Sang Hoon Ahn, Myeong-Jin Kim, Seung Woon Paik, Kwang-Hyub Han, Mi-Suk Park
2015 Clinical and Molecular Hepatology  
Studies of tumor growth rates in humans are usually based on small and selected samples.  ...  In the present study based on the Norwegian Breast Cancer Screening Program, tumor growth was estimated from a large population using a new estimating procedure/model.  ...  about the NBCSP and the corresponding database, and Bjørn Ove Maehle for allowing us to use the Haukeland dataset on clinical tumor sizes.  ... 
doi:10.3350/cmh.2015.21.3.279 pmid:26523271 pmcid:PMC4612289 fatcat:ysvuf3mst5gktj6ppftkncwuqq

Mathematical models of cytotoxic effects in endpoint tumor cell line assays: critical assessment of the application of a single parametric value as a standard criterion to quantify the dose–response effects and new unexplored proposal formats

Ricardo C. Calhelha, Mireia A. Martínez, M. A. Prieto, Isabel C. F. R. Ferreira
2017 The Analyst  
We develop a convenient tool for describing and quantifying the effects of standard and novel therapeutic anti-tumour agents.  ...  Acknowledgements The authors are grateful to the Foundation for Science and Technology (FCT) of Portugal and FEDER for financial support to CIMO (UID/AGR/00690/2013); and to the Xunta de Galicia for financial  ...  support for the post-doctoral research of M.  ... 
doi:10.1039/c7an00782e pmid:28991301 fatcat:st7i5ma4cbfjrh7zdqtco3ifom

Simulations in statistical physics and biology: some applications [article]

Maria del Pilar Monsivais-Alonso
2006 arXiv   pre-print
One of the most active areas of physics in the last decades has been that of critical phenomena, and Monte Carlo simulations have played an important role as a guide for the validation and prediction of  ...  Finally, a control theory tool --an adaptive observer-- is applied to estimate the exponent parameter involved in the well-known Gompertz curve.  ...  Acknowledgments First of all, I would like to thank my advisor Dr. Román López Sandoval for his dedication, guidance and constant support during the development of this thesis.  ... 
arXiv:physics/0603035v1 fatcat:2lfg7csqgngmnp2zfj6kmtnecq

T model of growth and its application in systems of tumor-immune dynamics

Mohammad A. Tabatabai, Wayne M. Eby, Karan P. Singh, Sejong Bae
2013 Mathematical Biosciences and Engineering  
We recommend usage of the T growth model for the growth of tumors as part of any system of differential equations.  ...  The T model is useful in modeling cellular proliferation or regression of cancer cells, stem cells, bacterial growth and drug dose-response relationships.  ...  The study of Feizabadi and Witten (2010) investigates the effects of chemotherapy on a system incorporating both tumor cell growth and the effects of aging.  ... 
doi:10.3934/mbe.2013.10.925 pmid:23906156 pmcid:PMC4476034 fatcat:ndrlqib57zaebi3q5uztaoo3aq

Mixture and Non-Mixture Cure Fraction Models Based on Generalized Gompertz Distribution under Bayesian Approach

Prafulla Kumar Swain, Gurprit Grover, Komal Goel
2016 Tatra Mountains Mathematical Publications  
In this paper, we have introduced a three parameter Gompertz (viz. scale, shape and acceleration) or generalized Gompertz distribution in the presence of cure fraction, censored data and covariates for  ...  estimating the proportion of cure fraction through Bayesian Approach.  ...  G u r p r i t G r o v e r under research and development programme of University of Delhi, India. The authors declare that there is no conflict of interest for this work.  ... 
doi:10.1515/tmmp-2016-0025 fatcat:oie47h257vhu5exy7gpu7zi4ku

Deciphering death: a commentary on Gompertz (1825) 'On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies'

T. B. L. Kirkwood
2015 Philosophical Transactions of the Royal Society of London. Biological Sciences  
His research is on the biology of ageing, with interests in the genetics of longevity, cellular and molecular mechanisms of intrinsic ageing, and age-related diseases.  ...  After training in mathematics (Cambridge) and biostatistics (Oxford), he switched his focus to biology, gaining his PhD (Cambridge) for research on ageing. Kirkwood  ...  -Mathematical modeling of tumor growth and metastatic spreading: validation in tumor-bearing mice.  ... 
doi:10.1098/rstb.2014.0379 pmid:25750242 pmcid:PMC4360127 fatcat:straj272xrdlzcwts4qx53jmqi

Dynamics of melanoma tumor therapy with vesicular stomatitis virus: explaining the variability in outcomes using mathematical modeling

D M Rommelfanger, C P Offord, J Dev, Z Bajzer, R G Vile, D Dingli
2011 Gene Therapy  
We show how variability in the initial tumor size and the actual amount of virus delivered to the tumor have critical roles on the outcome of therapy.  ...  Virotherapy works best when tumors are small, and a robust innate immune response can lead to superior tumor control.  ...  ACKNOWLEDGEMENTS This work was supported by R01 CA130878 and R01 CA107082 (RGV) and the Minnesota Partnership for Biotechnology and Medical Genomics (DD and ZB).  ... 
doi:10.1038/gt.2011.132 pmid:21918546 pmcid:PMC3934356 fatcat:n5475bvomrekpcwhxdtvi4t6xy

Evaluation of α2-Integrin Expression as a Biomarker for Tumor Growth Inhibition for the Investigational Integrin Inhibitor E7820 in Preclinical and Clinical Studies

Ron J. Keizer, Y. Funahashi, T. Semba, J. Wanders, J. H. Beijnen, J. H. M. Schellens, A. D. R. Huitema
2011 AAPS Journal  
The relationship between PK and α 2 -integrin expression was modeled using an indirect-effect model, subsequently linked to an exponential tumor growth model.  ...  PK-PD models were developed in NONMEM. α 2 -Integrin expression measured on platelets, corresponding to tumor stasis at t=21 in 50% and 90% of the mice (I int,50 , I int,90 ) were calculated.  ...  IV PD Model Parameters for the Tumor Growth Model Based on the Preclinical and Clinical Studies Parameter Preclinical (mice) PD: Tumor growth model Estimates RSE T base Baseline tumor size 5.14  ... 
doi:10.1208/s12248-011-9260-2 pmid:21387147 pmcid:PMC3085714 fatcat:mtmi46rt5ze7dglf2vcioiukjy

Radiation and PD-(L)1 treatment combinations: immune response and dose optimization via a predictive systems model

Yuri Kosinsky, Simon J. Dovedi, Kirill Peskov, Veronika Voronova, Lulu Chu, Helen Tomkinson, Nidal Al-Huniti, Donald R. Stanski, Gabriel Helmlinger
2018 Journal for ImmunoTherapy of Cancer  
Variability in individual tumor size dynamics was taken into account using a mixed-effects model at the level of tumor-infiltrating T cell influx.  ...  Methods: A quantitative systems pharmacology model, which includes key elements of the cancer immunity cycle and the tumor microenvironment, tumor growth, as well as dose-exposure-target modulation features  ...  Availability of data and materials The datasets used and/or analysed during the current study, as well as all model scripts, are available from the corresponding author on reasonable request.  ... 
doi:10.1186/s40425-018-0327-9 pmid:29486799 pmcid:PMC5830328 fatcat:6ikxecftfnd53ldvfs6ax2rk3e

Modeling Spontaneous Metastasis following Surgery: An In Vivo-In Silico Approach

S. Benzekry, A. Tracz, M. Mastri, R. Corbelli, D. Barbolosi, J. M. L. Ebos
2015 Cancer Research  
Mixed Effects Models for the Population Approach. 2014. 42. Norton L. A Gompertzian model of human breast cancer growth.  ...  fits of each mouse’s primary tumor (PT) and metastatic burden (MB) kinetics and 3) a mixed-effect population approach.  ... 
doi:10.1158/0008-5472.can-15-1389 pmid:26511632 pmcid:PMC5846333 fatcat:vv2xhrsskfh4hlszkp6poyuc7q
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