Citation:Weitz JS, Benfey PN, Wingreen NS (2007) Evolution, Interactions, and Biological Networks. PLoS Biol 5(1): e11. doi:10.1371/journal.pbio.0050011
Series Editor: Simon Levin, Princeton University, United States of America
Published: January 16, 2007
Copyright: © 2007 Weitz et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Funding:We are pleased to acknowledge the support of the Defense Advanced Research Projects Agency under grant HR0011-05-1-0057 to Princeton University. Work on networks in the Benfey lab is funded by a grant from NSF.
Competing interests: The authors have declared that no competing interests exist.
The study of networks has expanded rapidly over the last 10 years; networks are now widely recognized not only as outcomes of complex interactions, but as key determinants of structure, function, and dynamics in systems that span the biological, physical, and social sciences [1–4]. The “new science of networks”  has introduced novel paradigms of systems behavior, including small-world structure , scale-free networks , and the importance of modularity  and motifs . Some of these ideas have been transplanted into biology, and the results thus far are mixed but promising. Certainly, the study of biological networks has brought new opportunities for publication, yet much effort has been placed at discovering particular patterns in unexpected places—e.g., scale-free distributions in gene regulatory networks —and these findings come with the caveat that similar patterns do not necessarily point to a common mechanistic origin . Despite the many findings of power laws and hubs in biological systems, it is important to keep in mind that in biology, networks are not of interest solely (even primarily) for their abstract properties. So, if biologists working at the bench or in the field remain skeptical of what the study of networks can do for them and for their discipline, network scientists should not be surprised. These biologists want to know: what makes biological networks distinct and why should non-networkologists care?
As Dobzhansky famously noted, nothing in biology makes sense except in the light of evolution . This is particularly true of biological networks, and we believe that the lens of evolution provides an exciting opportunity to link disciplines in ways that address fundamental challenges in biology. When mathematicians and physicists discuss the “evolution” of a network, they are often describing the dynamics by which a particular network structure grows and changes . When biologists discuss the evolution of networks, they typically mean that fitness is network-dependent and selection acts to optimize across a landscape of networks . Both definitions are useful, indeed complementary; the former focuses attention on possible dynamical origins for network structure  and the latter highlights the possibility that higher-level properties resulting from networks may be selected for [15,16]. Here we offer a third way to think about networks.
The central organizing principle in the study of networks is that interactions between elements in a complex system are heterogeneous. Some elements are connected to many others, some to very few, and interaction strengths and dynamics may vary widely. This is certainly true of the vast majority of biological systems. A primary consequence of these heterogeneous interactions is that patterns and properties emerge at different scales of organization from the interactions themselves. What is distinct about biological networks is that they arise as a result of evolution, with selection operating at the level of individuals and as a result of interactions between organisms.
We propose to think about networks within organisms as complex phenotypes interacting with other networks. When two organisms and their respective networks interact, the outcome at multiple scales will reflect game-theoretic and density-dependent interactions [17–19]. Further, such an approach provides a framework for assessing how higher-order properties (e.g., robustness or resistance to attack) may emerge under constraints imposed by other organisms. We focus our attention on three types of networks within organisms—regulatory networks, sensory networks, and resource delivery networks—and we leave aside the evolution of networks of organisms (e.g., syntrophic networks or food webs) for which the concepts of game theory and density dependence are already essential tools of analysis . Our choice of examples takes aim at a central question in biology: how do organisms evolve and maintain complex and diverse functions?
To begin, consider the regulatory network of a temperate phage. Once inside a bacterial cell, a phage coopts its host's machinery and begins to modulate a system of promoters and pathways leading to cell lysis or integration [21,22]. Co-infections may occur, in which case another phage with a related but genetically distinct encoding of a regulatory network may be present. Networks that can function “optimally” in isolation may perform poorly (or be subject to exploitation) when mixed with competitors, as is the case of defective interfering particles . Competition among regulatory networks may lead to selection for robustness, the development of strain immunity, or altered host control.
Sensory networks provide another example. Systems biology is only beginning to explore the strategies used by cells to function reliably using noisy machinery. Some emerging themes include digital logic, integral feedback, and limit cycles . These paradigms are representative of systems that are intrinsically insensitive to noise. However, these paradigms do not address the unique challenge of accurately sensing environmental signals: namely that real changes in the signal must be reliably distinguished from fluctuations in the levels of network components. Further, these paradigms do not address how individual cells cope with the exchange of signaling molecules produced by other individuals that may be trying to regulate or maintain function in the environment or may be attempting to disrupt intentionally the function of other individuals. If we want to know how cells reliably integrate information from multiple signals, we should also be concerned with fluctuations induced exogenously by the presence of alternative networks, some operating with the same or similar signaling molecules, and some actively interfering with signaling.
Finally, consider physical delivery networks such as the root system of a plant or the branching structure of a tree. Both networks must provide structural support, facilitate the delivery of nutrients and water from soil to shoot, confer resistance against catastrophic embolisms, all while scaling up their components and connectivity from year to year . Yet a tree will have diminished reproductive success if its branching/root structure confers enhanced functioning in isolation, but the structure is easily shaded out above ground or is out-competed below ground by the network of an adjacent tree.
Evaluating and searching for optimal network design involves more than just finding peaks in a fitness function. The suitability of a given network design must be considered in the context of alternatives. Networks in this light can be seen as strategies, in much the same way that rapid growth or efficient growth are alternative strategies for organisms competing for a common resource. Unlike peaks in a fitness function, the success of a strategy depends on how well it can out-compete other strategies when it is rare, as well as how well it can resist invasion by other strategies when it is common. Coexistence of multiple network structures in biological systems may well reflect these types of game-theoretic interactions.
If we are to develop an evolutionary ecology of networks then we should: (i) improve classification schemes for describing the microstates of networks; (ii) develop a more rigorous, and perhaps, system-specific understanding of permitted moves and trade-offs between networks; and (iii) use the principles of game theory and adaptive dynamics to consider how networks interact via their emergent properties. For regulatory networks, do features emerge primarily through gene duplication with subsequent neofunctionalization, what are the fitness and energetic costs of such duplication events, or are there other more complex processes at work [26,27]? For sensory networks, tradeoffs may involve limitation of the number or production of pathway components and therefore may be an implicit constraint to adding additional signaling cascades to sense distinct conditions/molecules. The study of resource delivery networks raises the question of allocation strategies when network components involve fixed costs, such as the investment of tissue and energy . In all cases, we are confronted with a substantial challenge for theory: what is a meaningful level of granularity with which to describe a network that itself is a vast simplification of complex interactions?
Ecologists have long advocated the study of how interactions among individuals lead to ecosystem-level networks that, in turn, shape community assembly, stability, and robustness . The availability of high-throughput data in molecular and systems biology suggests new opportunities for cross-disciplinary synthesis. What biological or ecological function does a network perform or mediate? How robust is network-associated function with respect to various types of noise? How does network structure influence and reflect the process of evolution? To answer these questions, it may prove essential to consider how organisms with a given type of network invade a system dominated by individuals of a given type or of a coalition of types, and if so, what systems-level properties emerge. Shifting the perspective of the questions we ask (and the framework in which we ask them) will ensure that network theory continues to play an integral role in furthering biological research.
Many thanks are due to Jim Damon, Peter Dodds, Simon Levin, Benjamin Mann, and Jack Morava for inspiring discussions and to Peter Dodds, Michael Federle, Ilya Fischoff, Siva Sundaresan, and two anonymous referees for many helpful comments on the manuscript.
- 1. Albert R,Barabasi AL (2002) Statistical mechanics of complex networks. Rev Mod Phys 74: 47–97.
- 2. Newman MEJ (2003) The structure and function of complex networks. SIAM Review 45: 167–256.
- 3. Strogatz SH (2001) Exploring complex networks. Nature 410: 268–276.
- 4. Newman MEJ,Barabasi AL,Watts DJ, editors. (2006) The structure and dynamics of networks. Princeton (New Jersey): Princeton University Press. 624 p. editors.
- 5. Barabasi AL (2002) Linked: The new science of networks. Cambridge (Massachusetts): Perseus Publishing. 256 p.
- 6. Watts DJ,Strogatz SH (1998) Collective dynamics of ‘small-world’ networks. Nature 393: 440–442.
- 7. Barabasi AL,Albert R (1999) Emergence of scaling in random networks. Science 286: 509–512.
- 8. Hartwell LH,Hopfield JJ,Leibler S,Murray AW (1999) From molecular to modular cell biology. Nature 402: C47–C52.
- 9. Milo R,Shen-Orr S,Itzkovitz S,Kashtan N,Chklovskii D,et al. (2002) Network motifs: Simple building blocks of complex networks. Science 298: 824–827.
- 10. Barabasi AL,Oltvai ZN (2004) Network biology: Understanding the cell's functional organization. Nat Rev Gen 5: 101–113.
- 11. Keller EF (2005) Revisiting “scale-free” networks. Bioessays 27: 1060–1068.
- 12. Dobzhansky T (1973) Nothing in biology makes sense except in light of evolution. Am Biol Teacher 35: 125–129.
- 13. Dorogovtsev SN,Mendes JFF (2002) Evolution of networks. Advances Phys 51: 1079–1187.
- 14. Pfeiffer T,Soyer OS,Bonhoeffer S (2005) The evolution of connectivity in metabolic networks. PLoS Biol 3(7): e228. doi:10.1371/journal.pbio.0030228.
- 15. Alon U (2003) Biological networks: The tinkerer as an engineer. Science 301: 1866–1867.
- 16. Harbison CT,Gordon DB,Lee TI,Rinaldi NJ,Macisaac KD,et al. (2004) Transcriptional regulatory code of a eukaryotic genome. Nature 431: 99–104.
- 17. Hofbauer J,Sigmund K (1998) Evolutionary games and population dynamics. Cambridge (United Kingdom): Cambridge University Press. 351 p.
- 18. Nowak MA,Sigmund K (2004) Evolutionary dynamics of biological games. Science 303: 793–799.
- 19. Geritz SAH,Metz JAJ,Kisdi E,Meszéna G (1997) The dynamics of adaptation and evolutionary branching. Phys Rev Lett 78: 2024–2027.
- 20. Pascual M,Dunne JA, editors. (2006) Ecological networks: From structure to dynamics in food webs. Oxford (United Kingdom): Oxford University Press. 386 p. editors.
- 21. Ptashne M (2004) Genetic switch: Phage lambda revisited. 3rd edition. Woodbury (New York): Cold Spring Harbor Laboratory Press. 168 p.
- 22. McAdams HH,Arkin A (1997) Stochastic mechanisms in gene expression. Proc Natl Acad Sci U S A 94: 814–819.
- 23. Bull JJ,Millstein J,Orcutt J,Wichman HA (2006) Evolutionary feedback mediated through population density, illustrated with viruses in chemostats. Am Nat 167: E39–E51.
- 24. Tyson JJ,Chen KC,Novak B (2003) Sniffers, buzzers, toggles and blinkers: Dynamics of regulatory and signaling pathways in the cell. Curr Opin Cell Biol 15: 221–231.
- 25. Tyree MT,Zimmerman MH (2002) Xylem structure and the ascent of sap. 2nd edition. Berlin: Springer. 283 p.
- 26. Davidson EH,Erwin DH (2006) Gene regulatory networks and the evolution of animal body plans. Science 311: 796–800.
- 27. Wagner A (2005) Energy constraints on the evolution of gene expression. Mol Biol Evol 22: 1365–1374.
- 28. Enquist B,Niklas K (2002) Global allocation rules for patterns of biomass partitioning in seed plants. Science 295: 1517–1520.