Triangle Seminars
Tuesday, 1 Dec 2015
What is computational algebraic geometry in systems biology?
Heather Harrington
(Oxford)
Abstract:
Systems biology aims to understand the molecular interactions that
turn genes on/off, ultimately regulating cellular decisions. These
interactions may be described by a mathematical model that is a
polynomial dynamical system. Generally these interactions are unknown,
leading to multiple models; therefore it is desirable to compare
models with experimental data (e.g., steady-state concentrations of
proteins). Often model parameter values are unknown, and data is
limited (subset of measurable variables, often with noise). An
emerging field, `algebraic systems biology', offers algebraic
approaches to study problems systems biology. We present an
algebro-geometric method for ruling out models with limited
information and apply it to a biological system known to dysfunction
in many colorectal cancers. We are currently extending the framework
to include dynamics (i.e. time course data) using differential algebra
elimination and will present preliminary results.
Systems biology aims to understand the molecular interactions that
turn genes on/off, ultimately regulating cellular decisions. These
interactions may be described by a mathematical model that is a
polynomial dynamical system. Generally these interactions are unknown,
leading to multiple models; therefore it is desirable to compare
models with experimental data (e.g., steady-state concentrations of
proteins). Often model parameter values are unknown, and data is
limited (subset of measurable variables, often with noise). An
emerging field, `algebraic systems biology', offers algebraic
approaches to study problems systems biology. We present an
algebro-geometric method for ruling out models with limited
information and apply it to a biological system known to dysfunction
in many colorectal cancers. We are currently extending the framework
to include dynamics (i.e. time course data) using differential algebra
elimination and will present preliminary results.
Posted by: KCL
Wednesday, 2 Dec 2015
Anomalies RG-Flows and the a-Theorem in Six-Dimensions
📍 London
Clay Cordova
(IAS)
Abstract:
I will describe recent progress in computing Weyl anomalies in strongly-coupled six-dimensional field theories. Along the way we will prove an a-theorem quantifying the loss of degrees of freedom along renormalization group flows.
I will describe recent progress in computing Weyl anomalies in strongly-coupled six-dimensional field theories. Along the way we will prove an a-theorem quantifying the loss of degrees of freedom along renormalization group flows.
Posted by: KCL