scholarly journals Single Cell Mathematical Model Successfully Replicates Key Features of GBM: Go-Or-Grow Is Not Necessary

PLoS ONE ◽  
2017 ◽  
Vol 12 (1) ◽  
pp. e0169434 ◽  
Author(s):  
Elizabeth Scribner ◽  
Hassan M. Fathallah-Shaykh
Keyword(s):  
Mathematical Model ◽  
Single Cell ◽  
Key Features

scholarly journals Performance Analysis of Single Cell Alkaline Electrolyser Using Mathematical Model

2019 ◽  
Vol 605 ◽  
pp. 012002 ◽  
Author(s):  
Y. Sanath ◽  
K. De Silva ◽  
Peter Hugh Middleton ◽  
Mohan Kolhe
Keyword(s):  
Mathematical Model ◽  
Performance Analysis ◽  
Single Cell

A Mathematical Model of Cyclin B1 Dynamics at the Single Cell Level in Osteosarcoma Cells

2008 ◽  
Vol 41 (2) ◽  
pp. 9057-9062
Author(s):  
J. Pérez-Velázquez ◽  
N.D. Evans ◽  
M.J. Chappell ◽  
R.J. Errington ◽  
P.J. Smith ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Single Cell ◽  
Cyclin B1 ◽  
Single Cell Level ◽  
Osteosarcoma Cells ◽  
Cell Level

scholarly journals The structure of autocatalytic networks, with application to early biochemistry

2020 ◽  
Vol 17 (171) ◽  
pp. 20200488
Author(s):  
Mike Steel ◽  
Joana C. Xavier ◽  
Daniel H. Huson
Keyword(s):  
Mathematical Model ◽  
Living Systems ◽  
Bacterial Metabolism ◽  
The Core ◽  
System Building ◽  
Formal Framework ◽  
The Origin Of Life ◽  
Key Features ◽  
Autocatalytic Networks ◽  
New Algorithms

Metabolism across all known living systems combines two key features. First, all of the molecules that are required are either available in the environment or can be built up from available resources via other reactions within the system. Second, the reactions proceed in a fast and synchronized fashion via catalysts that are also produced within the system. Building on early work by Stuart Kauffman, a precise mathematical model for describing such self-sustaining autocatalytic systems (RAF theory) has been developed to explore the origins and organization of living systems within a general formal framework. In this paper, we develop this theory further by establishing new relationships between classes of RAFs and related classes of networks, and developing new algorithms to investigate and visualize RAF structures in detail. We illustrate our results by showing how it reveals further details into the structure of archaeal and bacterial metabolism near the origin of life, and provide techniques to study and visualize the core aspects of primitive biochemistry.

scholarly journals PEM FC Single Cell Based on a 3-D Printed Plastic Housing and Experimental Validation with the Mathematical Model

2018 ◽  
Vol 144 ◽  
pp. 63-74 ◽  
Author(s):  
Y. Sanath K. De Silva ◽  
Mohamed J.M.A. Rasul ◽  
Peter Hugh Middleton ◽  
Mohan Lal Kolhe
Keyword(s):  
Mathematical Model ◽  
Single Cell ◽  
Experimental Validation ◽  
The Mathematical Model ◽  
Plastic Housing

A mathematical model for single-cell cryopreservation

Cryobiology ◽  
2020 ◽  
Vol 97 ◽  
pp. 265
Author(s):  
Mohit Dalwadi ◽  
Sarah Waters ◽  
Helen Byrne ◽  
Ian Hewitt
Keyword(s):  
Mathematical Model ◽  
Single Cell

scholarly journals A mathematical model of spontaneous calcium release in cardiac myocytes

2011 ◽  
Vol 300 (5) ◽  
pp. H1794-H1805 ◽  
Author(s):  
Wei Chen ◽  
Gary Aistrup ◽  
J. Andrew Wasserstrom ◽  
Yohannes Shiferaw
Keyword(s):  
Mathematical Model ◽  
Sarcoplasmic Reticulum ◽  
Cardiac Myocytes ◽  
Calcium Release ◽  
Cardiac Tissue ◽  
Ectopic Beat ◽  
Ionic Model ◽  
Triggered Activity ◽  
Voltage Dependent ◽  
Key Features

In cardiac myocytes, calcium (Ca) can be released from the sarcoplasmic reticulum independently of Ca influx from voltage-dependent membrane channels. This efflux of Ca, referred to as spontaneous Ca release (SCR), is due to Ryanodine receptor fluctuations, which can induce spontaneous Ca sparks, which propagate to form Ca waves. This release of Ca can then induce delayed after-depolarizations (DADs), which can lead to arrhythmogenic-triggered activity in the heart. However, despite its importance, to date there is no mathematical model of SCR that accounts for experimentally observed features of subcellular Ca. In this article, we present an experimentally based model of SCR that reproduces the timing distribution of spontaneous Ca sparks and key features of the propagation of Ca waves emanating from these spontaneous sparks. We have coupled this model to an ionic model for the rabbit ventricular action potential to simulate SCR within several thousand cells in cardiac tissue. We implement this model to study the formation of an ectopic beat on a cable of cells that exhibit SCR-induced DADs.

scholarly journals The structure of autocatalytic networks, with application to early biochemistry

2020 ◽  
Author(s):  
Mike Steel ◽  
Joana C. Xavier ◽  
Daniel H. Huson
Keyword(s):  
Mathematical Model ◽  
Living Systems ◽  
Bacterial Metabolism ◽  
The Core ◽  
System Building ◽  
Formal Framework ◽  
The Origin Of Life ◽  
Key Features ◽  
Autocatalytic Networks ◽  
New Algorithms

AbstractMetabolism across all known living systems combines two key features. First, all of the molecules that are required are either available in the environment or can be built up from available resources via other reactions within the system. Second, the reactions proceed in a fast and synchronised fashion via catalysts that are also produced within the system. Building on early work by Stuart Kauffman, a precise mathematical model for describing such self-sustaining autocatalytic systems (RAF theory) has been developed to explore the origins and organisation of living systems within a general formal framework. In this paper, we develop this theory further by establishing new relationships between classes of RAFs and related classes of networks, and developing new algorithms to investigate and visualise RAF structures in detail. We illustrate our results by showing how it reveals further details into the structure of archaeal and bacterial metabolism near the origin of life, and provide techniques to study and visualise the core aspects of primitive biochemistry.

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