The Gompertz model revisited and modified using reaction networks: Mathematical analysis
DOI10.11145/j.biomath.2021.10.023zbMath1505.92317OpenAlexW4206264662MaRDI QIDQ5050589
Publication date: 17 November 2022
Published in: BIOMATH (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11145/j.biomath.2021.10.023
logistic modelGompertz modelchemical reaction networkssystems of ordinary differential equationsrelative growth ratereaction networksevolutionary growth-decay modelsexponential (radioactive) decaylogarithmic change rate
Classical flows, reactions, etc. in chemistry (92E20) Qualitative investigation and simulation of ordinary differential equation models (34C60)
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Cites Work
- On the Hausdorff distance between the Heaviside step function and Verhulst logistic function
- Biochemical systems theory: a review
- The two-step exponential decay reaction network: analysis of the solutions and relation to epidemiological SIR models with logistic and Gompertz type infection contact patterns
- Recasting nonlinear differential equations as S-systems: a canonical nonlinear form
- Mathematical biology. Vol. 1: An introduction.
- Foundations of chemical reaction network theory
- The Mathematics of Infectious Diseases
- An Evolutionary Model of Tumor Cell Kinetics and the Emergence of Molecular Heterogeneity Driving Gompertzian Growth
- New Dimensions in Gompertzian Growth
- On the chemical meaning of some growth models possessing Gompertzian‐type property
- The Gompertz model revisited and modified using reaction networks: Mathematical analysis
- Reaction networks reveal new links between Gompertz and Verhulst growth functions
- On the Approximation of the Cut and Step Functions by Logistic and Gompertz Functions
- Modeling and analysis of mass-action kinetics
- A generalized Gompertz growth model with applications and related birth-death processes
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