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Articles 1 - 6 of 6
Full-Text Articles in Physical Sciences and Mathematics
Bio-Logic Builder: A Non-Technical Tool For Building Dynamical, Qualitative Models, Tomáš Helikar, Brian Kowal, Alex Madrahimov, Manish Shrestha, Jay Pedersen, Kahani Limbu, Ishwor Thapa, Thaine Rowley, Rahul Satalkar, Naomi Kochi, John Konvalina, Jim A. Rogers
Bio-Logic Builder: A Non-Technical Tool For Building Dynamical, Qualitative Models, Tomáš Helikar, Brian Kowal, Alex Madrahimov, Manish Shrestha, Jay Pedersen, Kahani Limbu, Ishwor Thapa, Thaine Rowley, Rahul Satalkar, Naomi Kochi, John Konvalina, Jim A. Rogers
Mathematics Faculty Publications
Computational modeling of biological processes is a promising tool in biomedical research. While a large part of its potential lies in the ability to integrate it with laboratory research, modeling currently generally requires a high degree of training in mathematics and/or computer science. To help address this issue, we have developed a web-based tool, Bio-Logic Builder, that enables laboratory scientists to define mathematical representations (based on a discrete formalism) of biological regulatory mechanisms in a modular and non-technical fashion. As part of the user interface, generalized “bio-logic” modules have been defined to provide users with the building blocks for many …
The Cell Collective: Toward An Open And Collaborative Approach To Systems Biology., Tomáš Helikar, Brian Kowal, Sean Mcclenathan, Mitchell Bruckner, Thaine Rowley, Alex Madrahimov, Ben Wicks, Manish Shrestha, Kahani Limbu, Jim A. Rogers
The Cell Collective: Toward An Open And Collaborative Approach To Systems Biology., Tomáš Helikar, Brian Kowal, Sean Mcclenathan, Mitchell Bruckner, Thaine Rowley, Alex Madrahimov, Ben Wicks, Manish Shrestha, Kahani Limbu, Jim A. Rogers
Mathematics Faculty Publications
Background: Despite decades of new discoveries in biomedical research, the overwhelming complexity of cells has been a significant barrier to a fundamental understanding of how cells work as a whole. As such, the holistic study of biochemical pathways requires computer modeling. Due to the complexity of cells, it is not feasible for one person or group to model the cell in its entirety. Results: The Cell Collective is a platform that allows the world-wide scientific community to create these models collectively. Its interface enables users to build and use models without specifying any mathematical equations or computer code - addressing …
Mean-Field Boolean Network Model Of A Signal Transduction Network, Naomi Kochi, Mihaela Teodora Matache
Mean-Field Boolean Network Model Of A Signal Transduction Network, Naomi Kochi, Mihaela Teodora Matache
Mathematics Faculty Publications
In this paper we provide a mean-field Boolean network model for a signal transduction network of a generic fibroblast cell. The network consists of several main signaling pathways, including the receptor tyrosine kinase, the G-protein coupled receptor, and the Integrin signaling pathway. The network consists of 130 nodes, each representing a signaling molecule (mainly proteins). Nodes are governed by Boolean dynamics including canalizing functions as well as totalistic Boolean functions that depend only on the overall fraction of active nodes. We categorize the Boolean functions into several different classes. Using a mean-field approach we generate a mathematical formula for the …
Proof-Of-Concept For A Green Energy Linear Program For Optimizing Deployments, James M. Taylor, Betty Love
Proof-Of-Concept For A Green Energy Linear Program For Optimizing Deployments, James M. Taylor, Betty Love
Mathematics Faculty Proceedings & Presentations
The US military has spent billions of dollars and sacrificed many lives in the effort to bring electrical power services and the fuel that drives the generators to forward-deployed bases in Afghanistan and Iraq over the past 10 years. In an effort to reduce some of these tremendous costs, the US military has considered using alternative energy sources to generate electricity and reduce costs and exposure of fuel truck convoys. While some research [10] has used detailed software packages to model the electrical demand and renewable energy production tradeoffs in this environment, the impact of operational constraints is not readily …
Numerical Ranges Of Composition Operators With Inner Symbols, Valentin Matache
Numerical Ranges Of Composition Operators With Inner Symbols, Valentin Matache
Mathematics Faculty Publications
Operators on function paces acting by composition to the right with a fixed self-map φ of some set are called composition operators with the symbol φ. In this paper, composition operators on the Hilbert Hardy space over the unit disk are considered. The numerical ranges of composition operators with inner symbol of parabolic automorphic type of hyperbolic type are shown to be circular.
Composition Operators On A Class Of Analytic Function Spaces Related To Brennan's Conjecture, Valentin Matache, Wayne Smith
Composition Operators On A Class Of Analytic Function Spaces Related To Brennan's Conjecture, Valentin Matache, Wayne Smith
Mathematics Faculty Publications
Brennan’s conjecture in univalent function theory states that if τ is any analytic univalent transform of the open unit disk D onto a simply connected domain G and −1/3 < p < 1, then 1/(τ′) p belongs to the Hilbert Bergman space of all analytic square integrable functions with respect to the area measure. We introduce a class of analytic function spaces L2a(μp) on G and prove that Brennan’s conjecture is equivalent to the existence of compact composition operators on these spaces for every simply connected domain G and all p∈(−1/3,1) . Motivated by this result, we study the boundedness and compactness of composition operators in this setting.