Biochemical systems theory: a review

EO Voit - International Scholarly Research Notices, 2013 - Wiley Online Library
Biochemical systems theory (BST) is the foundation for a set of analytical andmodeling tools
that facilitate the analysis of dynamic biological systems. This paper depicts major …

Analysis of logistic growth models

A Tsoularis, J Wallace - Mathematical biosciences, 2002 - Elsevier
A variety of growth curves have been developed to model both unpredated, intraspecific
population dynamics and more general biological growth. Most predictive models are shown …

Analysis of growth equations

B Zeide - Forest science, 1993 - academic.oup.com
Growth of plants results from two opposing factors: the intrinsic tendency toward unlimited
increase (biotic potential) and restraints imposed by environmental resistance and aging …

The best models of metabolism

EO Voit - Wiley Interdisciplinary Reviews: Systems Biology and …, 2017 - Wiley Online Library
Biochemical systems are among of the oldest application areas of mathematical modeling.
Spanning a time period of over one hundred years, the repertoire of options for structuring a …

Recasting nonlinear differential equations as S-systems: a canonical nonlinear form

MA Savageau, EO Voit - Mathematical biosciences, 1987 - Elsevier
An enormous variety of nonlinear differential equations and functions have been recast
exactly in the canonical form called an S-system. This is a system of nonlinear ordinary …

[图书][B] A first course in systems biology

E Voit - 2017 - taylorfrancis.com
A First Course in Systems Biology is an introduction for advanced undergraduate and
graduate students to the growing field of systems biology. Its main focus is the development …

Trajectories and models of individual growth

AS Karkach - Demographic research, 2006 - JSTOR
It has long been recognized that the patterns of growth play an important role in the
evolution of age trajectories of fertility and mortality (Williams, 1957). Life history studies …

A stochastic numerical model of breast cancer growth that simulates clinical data

JF Speer, VE Petrosky, MW Retsky, RH Wardwell - Cancer Research, 1984 - AACR
A new stochastic numerical model of breast cancer growth is developed. First, the model
suggests that Gompertzian kinetics does apply but that from time to time, in random fashion …

Can fractional calculus help improve tumor growth models?

CA Valentim Jr, NA Oliveira, JA Rabi… - Journal of Computational …, 2020 - Elsevier
ODE-based population models remain viable tools to investigate tumor growth and support
clinical evidence. By following a fractional approach, this study derives analytical solutions …

[HTML][HTML] Cellular-automaton model for tumor growth dynamics: Virtualization of different scenarios

CA Valentim, JA Rabi, SA David - Computers in biology and medicine, 2023 - Elsevier
Mathematical Oncology has emerged as a research field that applies either continuous or
discrete models to mathematically describe cancer-related phenomena. Such methods are …