The role of fractional calculus in modeling biological phenomena: A review

C Ionescu, A Lopes, D Copot, JAT Machado… - … in Nonlinear Science …, 2017 - Elsevier
This review provides the latest developments and trends in the application of fractional
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …

Modeling cellulase kinetics on lignocellulosic substrates

P Bansal, M Hall, MJ Realff, JH Lee… - Biotechnology …, 2009 - Elsevier
The enzymatic hydrolysis of cellulose to glucose by cellulases is one of the major steps
involved in the conversion of lignocellulosic biomass to yield biofuel. This hydrolysis by …

[HTML][HTML] Bifurcation dynamics in lineage-commitment in bipotent progenitor cells

S Huang, YP Guo, G May, T Enver - Developmental biology, 2007 - Elsevier
Lineage specification of multipotent progenitor cells is governed by a balance of lineage-
affiliated transcription factors, such as GATA1 and PU. 1, which regulate the choice between …

[HTML][HTML] Reaction kinetics in intracellular environments with macromolecular crowding: simulations and rate laws

S Schnell, TE Turner - Progress in biophysics and molecular biology, 2004 - Elsevier
We review recent evidence illustrating the fundamental difference between cytoplasmic and
test tube biochemical kinetics and thermodynamics, and showing the breakdown of the law …

[图书][B] Fractals in Biology and Medicine: III

GA Losa, TF Nonnenmacher, ER Weibel - 1994 - books.google.com
This volume highlights the growing power and efficacy of the fractal geometry in
understanding how to analyze living phenomena and complex shapes. In March 2000 …

Living with noisy genes: how cells function reliably with inherent variability in gene expression

N Maheshri, EK O'Shea - Annu. Rev. Biophys. Biomol. Struct., 2007 - annualreviews.org
Within a population of genetically identical cells there can be significant variation, or noise,
in gene expression. Yet even with this inherent variability, cells function reliably. This review …

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 …

150 years of the mass action law

EO Voit, HA Martens, SW Omholt - PLoS computational biology, 2015 - journals.plos.org
This year we celebrate the 150th anniversary of the law of mass action. This law is often
assumed to have been “there” forever, but it has its own history, background, and a definite …

Monte Carlo simulations of enzyme reactions in two dimensions: fractal kinetics and spatial segregation

H Berry - Biophysical journal, 2002 - cell.com
Conventional equations for enzyme kinetics are based on mass-action laws, that may fail in
low-dimensional and disordered media such as biological membranes. We present Monte …

[图书][B] Modeling in biopharmaceutics, pharmacokinetics and pharmacodynamics: homogeneous and heterogeneous approaches

P Macheras, A Iliadis - 2016 - books.google.com
The state of the art in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics
Modeling is presented in this new second edition book. It shows how advanced physical and …