Biologist John Tyson, who studies the cell cycle, is a leader in applying mathematical models in molecular cell biology. However, comparing the results of a mathematical model to experimental data is difficult because mathematical results are quantitative (numbers) while much experimental data is qualitative (trends). The mathematical biologist must figure out how to set the numerical values of the â€˜parametersâ€™ in the model equations in order to create an accurate representation of what is going on inside the cell. A simple example is the conversion between Fahrenheit and Celsius temperatures, said mathematician Layne Watson. "You could use several pairs of Fahrenheit and Celsius readings for the same temperature, and try to deduce the formula for converting between the temperature scales."
Previously, Tyson worked with simpler models whose parameters could be determined by trial and error, a process modelers call "parameter twiddling." But he and his coworker, Kathy Chen, wanted to characterize all the protein interactions regulating the cell cycle of budding yeast (the yeast cells familiar to bakers and brewers, and a favorite organism of molecular biologists, as well). "Such fundamental research on the cell cycle of budding yeast provides a basis for understanding the reproduction of human cells and is relevant to the causes and treatment of cancer, to tissue regeneration, and to the control of many pathogens," Tyson said.
For the budding yeast cell cycle, the experimental data consists of observed traits of 130 mutant yeast strains constructed by disabling and/or over-expressing the genes that encode the proteins of the regulatory network. The model has 143 parameters that need to be estimated from the data. "That is a big problem," said Watson. "You can't do that by hand. You can't even do it on a laptop. It takes a supercomputer."
In fact, it required more than 20,000 CPU hours on System X, a 2200 processor parallel computer, using two new algorithms, DIRECT (DIviding RECTangles) and MADS (Mesh Adaptive Direct Search), to estimate the 143 parameters.
"With a tool like this scientists can spend more time working on the model and less time twiddling parameters," said Tyson.
The research is due to appear in 2007 in the Journal of Global Optimization, in the article "Deterministic Parallel Global Parameter Estimation for a Model of the Budding Yeast Cell Cycle," by Thomas D. Panning, Layne T. Watson, Nicholas A. Allen, Katherine C. Chen, Clifford A. Shaffer, and John J. Tyson.
Panning, who is from Tulsa, Okla., received his master of science in computer science in May 2006 and is currently working as a programmer in Germantown, Md. Watson, of Blacksburg, is professor of computer science in the College of Engineering and professor of mathematics in the College of Science. Allen, who is from Columbia, Md., received his Ph.D. in computer science in November 2005 and is now with Microsoft. Chen, of Blacksburg, is a research scientist biological sciences in the College of Science. Shaffer, of Newport, is associate professor of computer science. Tyson, of Blacksburg, is a University Distinguished Professor of biological sciences.
The Virginia Tech computer science team created massively parallel versions of a deterministic global search algorithm, DIRECT, and a deterministic local search algorithm, MADS, to do the twiddling, and then combined the results. "A deterministic global search algorithm systematically explores the parameter space, finding good values," Watson said. "Then the local search algorithm improves the values from the starting points found by the global algorithm."
The parallel computer programs can now be used by others for similar problems. "The parameters found for the budding yeast cell cycle model are good until the next scientist invalidates them with new experimental data. That could be years from now or next week. That's the way science works," says Watson.
Susan Trulove | EurekAlert!
Embryonic development: How do limbs develop from cells?
18.05.2018 | Humboldt-Universität zu Berlin
Reading histone modifications, an oncoprotein is modified in return
18.05.2018 | American Society for Biochemistry and Molecular Biology
So-called quantum many-body scars allow quantum systems to stay out of equilibrium much longer, explaining experiment | Study published in Nature Physics
Recently, researchers from Harvard and MIT succeeded in trapping a record 53 atoms and individually controlling their quantum state, realizing what is called a...
The historic first detection of gravitational waves from colliding black holes far outside our galaxy opened a new window to understanding the universe. A...
A team led by Austrian experimental physicist Rainer Blatt has succeeded in characterizing the quantum entanglement of two spatially separated atoms by observing their light emission. This fundamental demonstration could lead to the development of highly sensitive optical gradiometers for the precise measurement of the gravitational field or the earth's magnetic field.
The age of quantum technology has long been heralded. Decades of research into the quantum world have led to the development of methods that make it possible...
Cardiovascular tissue engineering aims to treat heart disease with prostheses that grow and regenerate. Now, researchers from the University of Zurich, the Technical University Eindhoven and the Charité Berlin have successfully implanted regenerative heart valves, designed with the aid of computer simulations, into sheep for the first time.
Producing living tissue or organs based on human cells is one of the main research fields in regenerative medicine. Tissue engineering, which involves growing...
A team of scientists of the Max Planck Institute for the Structure and Dynamics of Matter (MPSD) at the Center for Free-Electron Laser Science in Hamburg investigated optically-induced superconductivity in the alkali-doped fulleride K3C60under high external pressures. This study allowed, on one hand, to uniquely assess the nature of the transient state as a superconducting phase. In addition, it unveiled the possibility to induce superconductivity in K3C60 at temperatures far above the -170 degrees Celsius hypothesized previously, and rather all the way to room temperature. The paper by Cantaluppi et al has been published in Nature Physics.
Unlike ordinary metals, superconductors have the unique capability of transporting electrical currents without any loss. Nowadays, their technological...
02.05.2018 | Event News
13.04.2018 | Event News
12.04.2018 | Event News
18.05.2018 | Power and Electrical Engineering
18.05.2018 | Information Technology
18.05.2018 | Information Technology