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SIAM Review, ISSN 0036-1445, 2016, Volume 58, Issue 4, pp. 716 - 736
Journal Article
Population Studies, ISSN 0032-4728, 01/2015, Volume 69, Issue 1, pp. 91 - 104
... demographers to conclude that SM theory needs to be reassessed. In this paper we use a newly developed two-process vitality model to explain the SM correlation... 
SM correlation | intrinsic and extrinsic mortality | mortality pattern | Gompertz coefficients | vitality | SURVIVAL | COUNTRIES | LONGITUDINAL GOMPERTZIAN | POPULATIONS | DEMOGRAPHY | TRENDS | ADULT MORTALITY | HETEROGENEITY | INCREASE | ACCUMULATION | AGE | Aging | Models, Statistical | Humans | Mortality
Journal Article
Convergent science physical oncology, ISSN 2057-1739, 07/2016, Volume 2, Issue 3, p. 35002
...? What is a tumor doing before we can detect it? We outline a mathematical model, driven by a stochastic Moran process, in which cancer cells and healthy cells compete for dominance in the population... 
evolutionary game theory | Moran process | birth-death process | gompertzian tumor growth | cancer model | tumor heterogeneity
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 05/2015, Volume 1660, Issue 1
Conference Proceeding
IEEE Transactions on Medical Imaging, ISSN 0278-0062, 10/2005, Volume 24, Issue 10, pp. 1334 - 1346
Journal Article
Journal of Clinical Bioinformatics, ISSN 2043-9113, 05/2012, Volume 2, Issue 1, pp. 11 - 11
A simple and fast computational model to describe the dynamics of tumour growth and metastasis formation is presented... 
Gompertzian growth function | Breast cancer | Metastasis formation | Computational calculations | Tumour growth models | Molecules | Growth | Analysis | Models | Metastasis | Carcinogenesis | Cancer
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2010, Volume 369, Issue 1, pp. 1 - 9
.... We define simplest discrete fractional calculus of variations problem and derive Euler–Lagrange equation. We introduce and solve Gompertz fractional difference equation for tumor growth models. 
Discrete fractional calculus | Calculus of variations | Fractional summation by parts | MATHEMATICS | MATHEMATICS, APPLIED | GOMPERTZIAN MODEL | FORMULATION
Journal Article
Journal Article
Computational and Applied Mathematics, ISSN 0101-8205, 3/2017, Volume 36, Issue 1, pp. 1 - 22
.... The main result presented in this paper is the consistence of the stability results arising from the analysis of the model we designed with the experimental observations on which several branches... 
Computational Mathematics and Numerical Analysis | Mathematical Applications in Computer Science | Age-dependent | 35F20 | 35B35 | Stem cells | Mathematics | Applications of Mathematics | Mathematical Applications in the Physical Sciences | Gompertzian growth | 92C50 | MATHEMATICS, APPLIED | PARTIAL-DIFFERENTIAL-EQUATION | CELLULAR REPLICATION | DEPENDENT POPULATION-DYNAMICS
Journal Article
Journal of Theoretical Biology, ISSN 0022-5193, 11/2019, Volume 480, pp. 175 - 191
Journal Article
Cell Proliferation, ISSN 0960-7722, 12/2007, Volume 40, Issue 6, pp. 824 - 834
.... Various models have been proposed to explain the biological significance and foundations of these functions... 
GOMPERTZIAN GROWTH | CELL BIOLOGY | Logistic Models | Animals | Cell Proliferation | Neoplasms - pathology | Models, Biological | Humans | Growth | Analysis | Tumors
Journal Article
Annals of Oncology, ISSN 0923-7534, 11/1997, Volume 8, Issue 11, pp. 1075 - 1080
... treatments.Materials and methods: To verify agreement between findings and the implications of the continuous growth model, several published papers about the natural history of breast cancer after removal of the primary tumor were reviewed... 
Medicine & Public Health | gompertzian kinetics | surgery signals | tumor dormancy | Oncology | tumor growth | stochastic model | Surgery signals | Stochastic model | Gompertzian kinetics | Tumor growth | Tumor dormancy | PROGNOSTIC FACTORS | LONG-TERM | SURVIVAL | MASTECTOMY | CELLS | ANGIOGENESIS | 1ST RECURRENCE | DISEASE-FREE INTERVAL | ONCOLOGY | GROWTH | Stochastic Processes | Breast Neoplasms - pathology | Models, Biological | Humans | Neoplasm Metastasis - physiopathology | Female | Kinetics
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2008, Volume 195, Issue 1, pp. 142 - 153
Journal Article
Kanzo, ISSN 0451-4203, 2009, Volume 50, Issue 6, pp. 324 - 338
目的 HCVの増殖がGompertzian modelに従い,インターフェロン(IFN)を投与したときのウイルスの崩壊がexponential decayを示す時,HCVの減少曲線は,lnH(t)=lnGmax-(D0/k)+(D0/k)exp(-kt)と表せることを筆者は提唱した.ここで,lnH(t)は減少する... 
beta-interferon | Gomp-Ex model | HCV kinetics | Gompertzian model
Journal Article
Population and development review, ISSN 0098-7921, 6/2007, Volume 33, Issue 2, pp. 321 - 365
Journal Article