13 papers · ranked by Valyu relevance
Hans Peter Fischer
To understand complex biological systems such as cells, tissues, or even the human body, it is not sufficient to identify and characterize the individual molecules in the system. It also is necessary to obtain a thorough understanding of the interaction between molecules and pathways. This is even truer for…
Hans-Stefan Siller, Hans-Jürgen Elschenbroich, Gilbert Greefrath, Katrin Vorhölter
'Katrin Vorhölter'] Mathematical concepts are regularly used in media reports concerning the Covid-19 pandemic. These include growth models, which attempt to explain or predict the effectiveness of interventions and developments, as well as the reproductive factor. Our contribution has the aim of showing that basic…
Nestor V. Torres, Guido Santos
In this communication, we introduce a general framework and discussion on the role of models and the modeling process in the field of biosciences. The objective is to sum up the common procedures during the formalization and analysis of a biological problem from the perspective of Systems Biology, which approaches the…
Vitaly V. Ganusov
While there are many opinions on what mathematical modeling in biology is, in essence, modeling is a mathematical tool, like a microscope, which allows consequences to logically follow from a set of assumptions. Only when this tool is applied appropriately, as microscope is used to look at small items, it may allow to…
Olaf Wolkenhauer
Next generation sequencing technologies are bringing about a renaissance of mining approaches. A comprehensive picture of the genetic landscape of an individual patient will be useful, for example, to identify groups of patients that do or do not respond to certain therapies. The high expectations may however not be…
Teegwendé V. Porgo, Susan L. Norris, Georgia Salanti, Leigh F. Johnson + 4 more
'Leigh F. Johnson' 'Julie A. Simpson' 'Nicola Low' 'Matthias Egger' 'Christian L. Althaus'] Mathematical modeling studies are increasingly recognised as an important tool for evidence synthesis and to inform clinical and public health decision-making, particularly when data from systematic reviews of primary studies do…
S. L. Waters, L. J. Schumacher, A. J. El Haj
Successful progression from bench to bedside for regenerative medicine products is challenging and requires a multidisciplinary approach. What has not yet been fully recognised is the potential for quantitative data analysis and mathematical modelling approaches to support this process. In this review, we highlight the…
Kate Harline, Jesús Martínez-Gómez, Chelsea D. Specht, Adrienne H. K. Roeder
'Adrienne H. K. Roeder'] Modeling has become a popular tool for inquiry and discovery across biological disciplines. Models allow biologists to probe complex questions and to guide experimentation. Modeling literacy among biologists, however, has not always kept pace with the rise in popularity of these techniques and…
Julio Vera, Christopher Lischer, Momchil Nenov, Svetoslav Nikolov + 2 more
'Xin Lai' 'Martin Eberhardt'] In most disciplines of natural sciences and engineering, mathematical and computational modelling are mainstay methods which are usefulness beyond doubt. These disciplines would not have reached today’s level of sophistication without an intensive use of mathematical and computational…
Pavel Kraikivski
Mathematical modeling is a key tool used in the field of systems biology to determine the mechanisms with which the elements of biological systems interact to produce complex dynamic behavior. It has become increasingly evident that the complex dynamic behavior of biological systems cannot be understood by intuitive…
Malgorzata Kardynska, Daria Kogut, Marcin Pacholczyk, Jaroslaw Smieja
'Jaroslaw Smieja'] Regulatory networks structure and signaling pathways dynamics are uncovered in time- and resource consuming experimental work. However, it is increasingly supported by modeling, analytical and computational techniques as well as discrete mathematics and artificial intelligence applied to to extract…
Gilbert Greefrath, Hans-Stefan Siller, Katrin Vorhölter, Gabriele Kaiser
Discrete mathematics and mathematical modelling, along with the educational discourse surrounding these, have many connections. However, ways that the educational discourse on discrete mathematics can benefit from the inclusion of examples of mathematical modelling and the accompanying discussion are currently…
Muffy Calder, Claire Craig, Dave Culley, Richard de Cani + 15 more
'Christl A. Donnelly' 'Rowan Douglas' 'Bruce Edmonds' 'Jonathon Gascoigne' 'Nigel Gilbert' 'Caroline Hargrove' 'Derwen Hinds' 'David C. Lane' 'Dervilla Mitchell' 'Giles Pavey' 'David Robertson' 'Bridget Rosewell' 'Spencer Sherwin' 'Mark Walport' 'Alan Wilson'] In order to deal with an increasingly complex world, we…