How and why to build a mathematical model: A case study using prion aggregation

M Banwarth-Kuhn, S Sindi - Journal of Biological Chemistry, 2020 - ASBMB
Biological systems are inherently complex, and the increasing level of detail with which we
are able to experimentally probe such systems continually reveals new complexity …

Mathematical modeling of cancer metabolism

MÁ Medina - Critical reviews in oncology/hematology, 2018 - Elsevier
Systemic approaches are needed and useful for the study of the very complex issue of
cancer. Modeling has a central position in these systemic approaches. Metabolic …

Quantifying a systems map: network analysis of a childhood obesity causal loop diagram

J McGlashan, M Johnstone, D Creighton, K de la Haye… - PloS one, 2016 - journals.plos.org
Causal loop diagrams developed by groups capture a shared understanding of complex
problems and provide a visual tool to guide interventions. This paper explores the …

[PDF][PDF] Review of mathematical modelling techniques with applications in biosciences

AS Al-Jilawi, FH Abd Alsharify - Iraqi Journal For Computer Science and …, 2022 - iasj.net
Modelling can provide intellectual frameworks that are necessary to translate data into
knowledge. Mathematical modelling has played an important role in many applications …

Nonlinear analysis of biceps surface EMG signals for chaotic approaches

V Khodadadi, FN Rahatabad, A Sheikhani… - Chaos, Solitons & …, 2023 - Elsevier
In the present study, the chaos is detected and quantified in the electromyographic (EMG)
signal of the biceps muscle using nonlinear features. Biological systems are complex and …

Theoretical and experimental approaches to study of biological objects by mathematical methods using the example of hormone production in the thyroid gland

O Ryabukha - SSP Modern Pharmacy and Medicine, 2024 - ssp.ee
The study of any biological object is a complex process that involves a number of successive
stages, one of which tools can be a specially created expert system. It is advisable to present …

Stability analysis of a model of epidemic dynamics with nonlinear feedback producing recurrent infection waves

IM Bulai, F Montefusco, MG Pedersen - Applied Mathematics Letters, 2023 - Elsevier
Complex dynamics characterizing human behavior in an epidemiological scenario can be
modeled via a system of ordinary differential equations starting from a simple SIR …

Dynamical analysis of a glucose-insulin regulatory system with insulin-degrading enzyme and multiple delays

F Rao, Z Zhang, J Li - Journal of Mathematical Biology, 2023 - Springer
This paper investigates the dynamics of a glucose-insulin regulatory system model that
incorporates:(1) insulin-degrading enzyme in the insulin equation; and (2) discrete time …

Relating simulation studies by provenance—Developing a family of Wnt signaling models

K Budde, J Smith, P Wilsdorf, F Haack… - PLOS Computational …, 2021 - journals.plos.org
For many biological systems, a variety of simulation models exist. A new simulation model is
rarely developed from scratch, but rather revises and extends an existing one. A key …

In vitro, in vivo, and in silico models of lymphangiogenesis in solid malignancies

S Bekisz, L Baudin, F Buntinx, A Noël, L Geris - Cancers, 2022 - mdpi.com
Simple Summary Lymphangiogenesis is the formation of new lymphatic vessels in
physiological conditions but has also been found to be associated with pathologies. For …