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The last decade has seen an explosion in models that describe phenomena in systems medicine. Such models are especially useful for studying signaling pathways, such as the Wnt pathway. In this chapter we use the Wnt pathway to showcase…

Quantitative Methods · Quantitative Biology 2015-07-31 Adam L. MacLean , Heather A. Harrington , Michael P. H. Stumpf , Helen M. Byrne

Computational modeling of Wnt signaling pathway has gained prominence for its use as computer aided diagnostic tool to develop therapeutic cancer target drugs and predict of test samples as cancerous and non cancerous. This manuscript…

Molecular Networks · Quantitative Biology 2024-11-26 Shriprakash Sinha , Marcel J. T. Reinders , Wim Verhaegh

Signaling pathways serve to communicate information about extracellular conditions into the cell, to both the nucleus and cytoplasmic processes to control cell responses. Genetic mutations in signaling network components are frequently…

Molecular Networks · Quantitative Biology 2021-06-15 Michael A. Kochen , Steven S. Andrews , H. Steven Wiley , Song Feng , Herbert M. Sauro

The Wnt signalling pathway transducing the stabilization of beta-catenin is essential for metazoan embryo development and is misregulated in many diseases such as cancers. In recent years models have been proposed for the Wnt signalling…

Cell Behavior · Quantitative Biology 2015-05-20 Lykke Pedersen , Sandeep Krishna , Mogens H. Jensen

By introducing a small set of additional parameters, a probe learns to solve specific linguistic tasks (e.g., dependency parsing) in a supervised manner using feature representations (e.g., contextualized embeddings). The effectiveness of…

Computation and Language · Computer Science 2021-05-31 Zhiyong Wu , Yun Chen , Ben Kao , Qun Liu

A new suggestion for pattern formation in biological systems is proposed. The interaction of two signaling pathways provides complex patterning. The interaction of two pathways involves few of the biochemical complexities of the pathways.…

Biological Physics · Physics 2009-11-10 Frederick W. Cummings

Cells regulate themselves via dizzyingly complex biochemical processes called signaling pathways. These are usually depicted as a network, where nodes represent proteins and edges indicate their influence on each other. In order to…

Molecular Networks · Quantitative Biology 2021-01-13 David Merrell , Anthony Gitter

There are two phases of Wnt signalling in early vertebrate embryogenesis: very early, maternal Wnt signalling promotes dorsal development, and slightly later, zygotic Wnt signalling promotes ventral and lateral mesoderm induction. However,…

Molecular Networks · Quantitative Biology 2022-10-18 Claudiu V. Giuraniuc , Shabana Zain , Shahmama Ghafoor , Stefan Hoppler

To support and guide an extensive experimental research into systems biology of signaling pathways, increasingly more mechanistic models are being developed with hopes of gaining further insight into biological processes. In order to…

Quantitative Methods · Quantitative Biology 2009-05-28 Tina Toni , Michael P. H. Stumpf

Biological systems are often modeled as a system of ordinary differential equations (ODEs) with time-invariant parameters. However, cell signaling events or pharmacological interventions may alter the cellular state and induce multi-mode…

Quantitative Methods · Quantitative Biology 2020-04-28 Bing Liu

A biological pathway represents a set of genes that serves a particular cellular or a physiological function. The genes within the same pathway are expected to function together and hence may interact with each other. It is also known that…

Methodology · Statistics 2012-06-14 Zaili Fang , Inyoung Kim , Jeesun Jung

Signaling pathways are responsible for the regulation of cell processes, such as monitoring the external environment, transmitting information across membranes, and making cell fate decisions. Given the increasing amount of biological data…

Molecular Networks · Quantitative Biology 2020-04-07 Daniel Inostroza , Cecilia Hernández , Diego Seco , Gonzalo Navarro , Alvaro Olivera-Nappa

In a mathematical model of interacting biological organisms, where external interventions may alter behavior over time, traditional models that assume fixed parameters usually do not capture the evolving dynamics. In oncology, this is…

Machine Learning · Computer Science 2025-12-18 Kayode Olumoyin , Lamees El Naqa , Katarzyna Rejniak

The behaviour of gene regulatory networks (GRNs) is typically analysed using simulation-based statistical testing-like methods. In this paper, we demonstrate that we can replace this approach by a formal verification-like method that gives…

Computational Engineering, Finance, and Science · Computer Science 2015-01-19 Mirco Giacobbe , Calin C. Guet , Ashutosh Gupta , Thomas A. Henzinger , Tiago Paixao , Tatjana Petrov

Cell-penetrating peptides (CPPs) have been widely used for drug-delivery agents; however, it has not been fully understood how they translocate across cell membranes. The Weighted Ensemble (WE) method, one of powerful and flexible path…

Biomolecules · Quantitative Biology 2021-12-20 Seungho Choe

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

Spatially annotated single-cell datasets provide unprecedented opportunities to dissect cell-cell communication in development and disease. Heterotypic signaling includes interactions between different cell types and is well established in…

Genomics · Quantitative Biology 2023-03-03 Fabian V. Filipp

The vast amount of biological knowledge accumulated over the years has allowed researchers to identify various biochemical interactions and define different families of pathways. There is an increased interest in identifying pathways and…

Applications · Statistics 2011-11-24 Francesco C. Stingo , Yian A. Chen , Mahlet G. Tadesse , Marina Vannucci

Genes/Proteins do not work alone within our body, rather as a group they perform certain activities indicated as pathways. Signalling transduction pathways (STPs) are some of the important pathways that transmit biological signals from…

Quantitative Methods · Quantitative Biology 2021-08-02 AKM Azad , Salem Alyami

The TGF-beta pathway plays a central role in tissue homeostasis and morphogenesis. It transduces a variety of extracellular signals into intracellular transcriptional responses that control a plethora of cellular processes, including cell…

Molecular Networks · Quantitative Biology 2007-05-23 Jose M. G. Vilar , Ronald Jansen , Chris Sander
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