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This article discusses the application of mathematics in studying how the parts of a complex system, such as living organisms, interact to function in ways that go beyond the properties of individual components. It explores the emergence of systems biology as a complementary approach to reductionist science, and its potential impact on various fields such as biomedicine, pharmaceuticals, and homeland security.
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New Frontiers in Systems Biology John J. Tyson Department of Biology and Virginia Bioinformatics Institute Virginia Polytechnic Institute and State University Blacksburg, Virginia
Systems Science …the use of mathematics to study how the parts of a complex system fit together to function in ways that transcend the properties of the individual parts.
Systems Science is the flip-side of Reductionist Science. reductionist science (parts) systems science (whole) Norbert Weiner (1948) Cybernetics: Control & Communication in the Animal and the Machine
Outline Weather Forecasting Traditional Systems Biology “New” Systems Biology
The map is a snapshot of the highs and lows at one instant; weather is a dynamic process…the movement of air masses in time across the continent. Weather Forecasting
Navier-Stokes Equations Modern weather prediction is based on accurate computer “simulations” of moving air masses. Weather Forecasting
Weather Forecasting Accurate weather forecasting is essential to modern… Transportation industry Military planning Civil defense
Biological Systems Ecosystems Odum, MacArthur, Wilson, May, … Infectious disease
Biological Systems Ecosystems Organ systems Entelos: math model of human digestive system— diabetes, obesity
Biological Systems Organ systems Ecosystems Animal cell “Systems-level” thinking has been slow to catch on because…
… the “parts list” was missing 1985-2000: The era of reductionist molecular biology; discovery of the parts list (proteins and the genes that encode them); culminating in the complete sequence of the human genome.
New Systems Biology …the use of mathematics to study how genes and proteins interact to produce the complex behaviors of a living cell… movement energy supply signaling growth division death
External signals Growth Development Division Reproduction Death Information Processing System Cell signaling Hanahan & Weinberg (2000)
Division Reproduction Cell signaling Hanahan & Weinberg (2000)
The Budding Yeast Cell Cycle budding DNA synthesis growth mitosis newborn cell cell division
Pds1 Esp1 Cdc14 RENT Sic1 Sic1 P Esp1 Cell division unaligned chromosomes SBF Cdh1 Pds1 Mcm1 Cdc20 PPX Net1P Tem1-GDP Cdc15/MEN Lte1 Bub2 Tem1-GTP Net1 Mcm1 Cdh1 Cdc20 Cln2 Clb2 Clb5 Mitosis Mad2 growth APC-P unaligned chromosomes Mcm1 Cdc20 Cdh1 Clb2 APC Inactive trimer Cdc14 and Cln3 Swi5 CDKs SCF P Cdc14 Bck2 Inactive trimer ? MBF Clb5 DNA synthesis Clb2 SBF Cln2 Budding
Pds1 Esp1 Cdc14 RENT Sic1 Sic1 P Esp1 Cell division unaligned chromosomes SBF Cdh1 Pds1 Mcm1 Cdc20 PPX Net1P Tem1-GDP Cdc15/MEN Lte1 Bub2 Tem1-GTP Net1 Mcm1 Cdh1 Cdc20 Cln2 Clb2 Clb5 Mitosis Mad2 growth APC-P unaligned chromosomes Mcm1 Cdc20 Cdh1 Clb2 APC Inactive trimer Cdc14 and Cln3 Swi5 CDKs SCF P Cdc14 Bck2 Inactive trimer ? MBF Clb5 DNA synthesis Clb2 SBF Cln2 Budding
synthesis synthesis binding degradation degradation inactivation activation The mathematical model
G1 S/M mass CKI Cln2 Clb2 Cdh1 Cdc20 Time (min)
46,000 Full Details: http://mpf.biol.vt.edu
Pds1 Esp1 Cdc14 RENT Sic1 Sic1 P Esp1 Sister chromatid separation unaligned chromosomes SBF Cdh1 Pds1 Mcm1 Cdc20 PPX Net1P Mutants Tem1-GDP Cdc15/MEN Lte1 Bub2 Tem1-GTP Net1 Mcm1 Cdh1 Cdc20 Cln2 Clb2 Clb5 Mitosis Mad2 growth APC-P unaligned chromosomes Mcm1 Cdc20 Cdh1 Clb2 APC Inactive trimer Cdc14 and Cln3 Swi5 CDKs SCF P Cdc14 Bck2 Inactive trimer ? MBF Clb5 DNA synthesis Clb2 SBF Cln2 Budding
Pds1 Esp1 Cdc14 RENT Sic1 Sic1 P Esp1 Sister chromatid separation unaligned chromosomes SBF Cdh1 Pds1 Mcm1 Cdc20 PPX Net1P Mutants Tem1-GDP Cdc15/MEN Lte1 Bub2 Tem1-GTP Net1 Mcm1 Cdh1 Cdc20 Cln2 Clb2 Clb5 Mitosis Mad2 growth APC-P unaligned chromosomes Mcm1 Cdc20 Cdh1 Clb2 APC Inactive trimer Cdc14 and Cln3 Swi5 CDKs SCF P Cdc14 Bck2 Inactive trimer ? MBF Clb5 DNA synthesis Clb2 SBF Cln2 Budding
Pds1 Esp1 Cdc14 RENT Sic1 Sic1 P Esp1 Sister chromatid separation unaligned chromosomes SBF Cdh1 Pds1 Mcm1 Cdc20 PPX Net1P Mutants Tem1-GDP Cdc15/MEN Lte1 Bub2 Tem1-GTP Net1 Mcm1 Cdh1 Cdc20 Cln2 Clb2 Clb5 Mitosis Mad2 growth APC-P unaligned chromosomes Mcm1 Cdc20 Cdh1 Clb2 APC Inactive trimer Cdc14 and Cln3 Swi5 CDKs SCF P Cdc14 Bck2 Inactive trimer ? MBF Clb5 DNA synthesis Clb2 SBF Cln2 Budding
Pds1 Esp1 Cdc14 RENT Sic1 Sic1 P Esp1 Sister chromatid separation unaligned chromosomes SBF Cdh1 Pds1 Mcm1 Cdc20 PPX Net1P Mutants Tem1-GDP Cdc15/MEN Lte1 Bub2 Tem1-GTP Net1 Mcm1 Cdh1 Cdc20 Cln2 Clb2 Clb5 Mitosis Mad2 growth APC-P unaligned chromosomes Mcm1 Cdc20 Cdh1 Clb2 APC Inactive trimer Cdc14 and Cln3 Swi5 CDKs SCF P Cdc14 Bck2 Inactive trimer ? MBF Clb5 DNA synthesis Clb2 SBF Cln2 Budding
Accurate account of the properties of >100 mutant cells; correctly predicts properties of new mutant combinations
Designer Drugs Taxol Cancer Information Processing System What use is the new systems biology? Hanahan & Weinberg (2000)
The impact of the new systems biology on biomedicine, pharmaceuticals and homeland security may, some day, be as great as the impact of modern weather prediction on transportation, military preparedness and civil defense.