Gompertz model with delays and treatment: Mathematical analysis
Mathematical Biosciences and Engineering, 2013 In this paper we study the delayed Gompertz model, as a typical model of tumor growth, with a term describing external interference that can reflect a treatment, e.g. chemotherapy.
Marek Bodnar +2 more
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Accurate birth weight prediction from fetal biometry using the Gompertz model. [PDF]
Eur J Obstet Gynecol Reprod Biol XKumari C +4 more
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Generalized Fractional Calculus for Gompertz-Type Models [PDF]
Mathematics, 2021 This paper focuses on the construction of deterministic and stochastic extensions of the Gompertz curve by means of generalized fractional derivatives induced by complete Bernstein functions. Precisely, we first introduce a class of linear stochastic equations involving a generalized fractional integral and we study the properties of its solutions ...
Giacomo Ascione, Enrica Pirozzi
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Stability conditions of limit cycle for Gompertz Autoregressive model
Tikrit Journal of Pure Science, 2023 In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive ...
Nezar E. Ali, Azher A. Mohammad
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The Gompertz model revisited and modified using reaction networks: Mathematical analysis
Biomath, 2021 In the present work we discuss the?usage of the framework of chemical reaction networks for the construction of dynamical models and their mathematical analysis.
Svetoslav Marinov Markov
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Statistical Features and Estimation Methods for Half-Logistic Unit-Gompertz Type-I Model
Mathematics, 2023 In this study, we propose a new three-parameter lifetime model based on the type-I half-logistic G family and the unit-Gompertz model, which we named the half-logistic unit Gompertz type-I distribution.
Anum Shafiq +4 more
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Sensitivity and resistance level of sourgrass population subjected to glyphosate application
Journal of Plant Protection Research, 2021 The intensive use of glyphosate in agricultural areas has increased the frequency of weeds that are resistant to herbicides. Thus, this study was aimed to assess the sensitivity and resistance level of Digitaria insularis (L.) Fedde (sourgrass ...
Jhonatan Diego Cavalieri +4 more
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The inverted Gompertz-Fréchet distribution with applications
Scientific African, 2023 The probability distribution is an important aspect of probability theory because of its vast relevance in almost all human disciplines. Its applicability in finance, medicine, agriculture, actuarial science, demography, and econometrics, to mention but ...
Eno E.E. Akarawak +5 more
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Bootstrap Resampling in Gompertz Growth Model with Levenberg–Marquardt Iteration
JTAM (Jurnal Teori dan Aplikasi Matematika), 2022 Soybean plants have limited growth with a planting period of 12 weeks, which causes the observed sample to be very small. A small sample of soybean plant growth observations can be bias causes in the conclusion of prediction results on soybean plant ...
Fandi Rezian Pratama Gultom +2 more
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Modeling Postoperative Nerve Regeneration Using Diffusion MRI: A Preclinical Study of a Novel Mathematical Approach. [PDF]
Muscle NerveABSTRACT Introduction/Aims Nerve regeneration after injury must occur in a timely fashion to restore function. Current methods of assessment provide limited information following trauma, resulting in delayed management and suboptimal outcomes. In this study, we evaluated the ability of diffusion magnetic resonance imaging (MRI) and a mathematical model
Esteve IM +16 more
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