
	by K. Eric Drexler
	
	March 20, 2007
	
	from
			
			KurzweilAI Website
	
	 
	
		
			| 
			Developing the ability to 
			design protein molecules will make it possible to construct 
			molecular machines. These can then build second-generation machines 
			that can perform extremely general synthesis of three-dimensional 
			molecular structures, thus permitting construction of devices and 
			materials to complex atomic specifications. This has important 
			implications for computation and for characterization, manipulation, 
			and repair of biological materials.Originally published in Engines of Creation 2.0, WOWIO LLC, February 
			2007.
 | 
	
	
	
	Development of the ability to design protein molecules will open a path to 
	the fabrication of devices to complex atomic specifications, thus 
	sidestepping obstacles facing conventional micro-technology. 
	
	 
	
	This path will involve construction of molecular 
	machinery able to position reactive groups to atomic precision. It could 
	lead to great advances in computational devices and in the ability to 
	manipulate biological materials. The existence of this path has implications 
	for the present.
	
	Feynman's 1959 talk entitled "There's 
	Plenty of Room at the Bottom" 1 discussed 
	micro-technology as a frontier to be pushed back, like the frontiers of high 
	pressure, low temperature, or high vacuum. He suggested that ordinary 
	machines could build smaller machines that could build still smaller 
	machines, working step by step down toward the molecular level; he also 
	suggested using particle beams to define two-dimensional patterns. 
	
	 
	
	Present micro-technology (exemplified by 
	integrated circuits) has realized some of the potential outlined by Feynman 
	by following the same basic approach: working down from the macroscopic 
	level to the microscopic.
	
	Present micro-technology 2 handles statistical populations of 
	atoms. As the devices shrink, the atomic graininess of matter creates 
	irregularities and imperfections, so long as atoms are handled in bulk, 
	rather than individually. Indeed, such miniaturization of bulk processes 
	seems unable to reach the ultimate level of micro-technology—the structuring 
	of matter to complex atomic specifications. In this paper, I will outline a 
	path to this goal, a general molecular engineering technology. 
	
	 
	
	The existence of this path will be shown to have 
	implications for the present.
	
	Although the capabilities described may not prove necessary to the 
	achievement of any particular objective, they will prove sufficient for the 
	achievement of an extraordinary range of objectives in which the structuring 
	and analysis of matter are concerned. The claim that devices can be built to 
	complex atomic specifications should not, however, be construed to deny the 
	inevitability of a finite error rate arising from thermodynamic effects (and 
	radiation damage). 
	
	 
	
	Such errors can be minimized through the use of 
	free energy in error-correcting procedures (including rejection of faulty 
	components before device assembly); the effects of errors can be minimized 
	through fault-tolerant design, as in macroscopic engineering.
	
	The emphasis on devices that have general capabilities should be taken in 
	the spirit of early work on the theoretical capabilities of computers, which 
	did not attempt to predict such practical embodiments as specialized or 
	distributed computation systems. The present argument, however, will proceed 
	from step to step by close analogies between the proposed steps and past 
	developments in nature and technology, rather than by mathematical proof.
	
	
	 
	
	We commonly accept the feasibility of new 
	devices without formal proof, where analogies to existing systems are close 
	enough: consider the feasibility of making a clock from zirconium. 
	
	 
	
	The detailed design of many specific devices to 
	render them describable by dynamical equations would be a task of another 
	order (consider designing a clock from scratch), and appears unnecessary to 
	the establishment of the feasibility of certain general capabilities.
	
	 
	
	 
	
	
	Protein design
	
	Biochemical systems exhibit a "micro-technology" quite different from ours: 
	they are not built down from the macroscopic level but up from the atomic. 
	Biochemical micro-technology provides a beachhead at the molecular level 
	from which to develop new molecular systems by providing a variety of 
	"tools" and "devices" to use and to copy.
	
	Building with these tools, themselves made to atomic specifications, we can 
	begin on the far side of the barrier facing conventional micro-technology.
	
	What can be built with these tools? 
	
	 
	
	Gene synthesis 3 and recombinant DNA 
	technology can direct the ribosomal machinery of bacteria to produce novel 
	proteins, which can serve as components of larger molecular structures. One 
	might think assembly of such components into complex systems would require a 
	preexisting technology able to handle molecules and assemble them; 
	fortunately, biochemistry demonstrates that intermolecular attraction 
	between complementary surfaces can assemble complex structures from 
	solution. 
	
	 
	
	For example, the complex machinery of the 
	ribosome self-assembles from more than 50 different protein molecules and 
	can do so in vitro.4
	
	At present, the design of protein systems as complex as a ribosome seems an 
	awesome task. Indeed, chemists cannot yet predict the three-dimensional 
	conformation of a natural protein from its amino acid sequence, an ability 
	that might seem requisite to the design of new proteins. 
	
	 
	
	Two considerations suggest that this obstacle is 
	surmountable: 
	
		
			- 
			
			first, the continuing improvement in 
			protein science  
- 
			
			second, the difference between natural 
			science and design engineering 
	
	Regarding the first, computer simulation of 
	protein molecules in solution 5 shows promise. 
	
	 
	
	As computer technology and chemical knowledge 
	improve, simulations will increase in accuracy, speed, and size. Improvement 
	promises new insight into protein behavior and may permit the designer to 
	modify (simulated) molecules quickly and to observe their behavior directly.
	
	Regarding the second consideration, natural scientists seek a more general 
	understanding than design engineers require. Science seeks the ability to 
	predict the conformations of all natural polypeptides. In attempting this, 
	protein chemists can search for a minimum-energy chain conformation (in hope 
	that the protein assumes not a local but a global minimum-energy 
	conformation) 6 or can attempt to follow the chain-folding 
	mechanism to find the final conformation.7 
	
	 
	
	Prediction will be easier if the natural 
	conformation has outstanding stability or if its folding mechanism proceeds 
	in a sequence of strongly preferred steps. Unfortunately, natural selection 
	accepts polypeptides that have natural conformations of low stability (in 
	terms of energy) so long as they exhibit long lifetimes on the cellular time 
	scale (or renature readily). 
	
	 
	
	Similarly, natural selection accepts any folding 
	process so long as the chain reaches its natural conformation with 
	essentially 100% yield. Moreover, random mutations are unlikely to enhance 
	the stability of a particular conformation (or the predictability of its 
	folding mechanism). 
	
	 
	
	Thus, natural proteins tend to accumulate 
	disruptive changes until they reach the threshold of poor stability or 
	reduced yield of the natural conformation; only then does natural selection 
	come into play. Thus, it is little wonder that chemists cannot yet predict 
	the conformations of natural proteins; they are not designed to fold 
	predictably.
	
	Engineers (in contrast to scientists) need not seek to understand all 
	proteins but only enough to produce useful systems in a reasonable number of 
	attempts.
	
	An engineer designing a protein that has 1000 amino acids may choose among 
	some 101300 different amino acid sequences. It might be that only one in 109 
	(or even 10700) randomly selected sequences would yield a predictable 
	conformation, yet this tiny fraction represents a vast number of proteins.
	
	
	 
	
	Through use of strategically placed charged 
	groups, polar groups, disulfide bonds, hydrogen bonds, and hydrophobic 
	groups, the engineer should be able to design proteins that not only fold 
	predictably to a stable structure (sometimes) but that serve a planned 
	function as well. Even a low success rate will lead to an accumulation of 
	successful designs. 
	
	 
	
	Thus, the difficulties encountered in predicting 
	the conformations of natural proteins do not seem insurmountable obstacles 
	to protein engineering.
	
	Computer modeling and chemical understanding of biological targets have 
	already found use in pharmaceutical design,8 and an artificial 
	34-residue polypeptide designed to interact with RNA has been synthesized 
	and found active.9 It has been proposed to give micro-circuitry 
	special sensitivities by adsorbing engineered proteins onto selected 
	surfaces.10 
	
	 
	
	The promise of enzyme design in chemical 
	engineering is evident. As protein science has great promise, and 
	difficulties in understanding natural proteins need not block engineering, 
	the substantial payoffs for improved capabilities should lead to development 
	of protein design technology. 
	
	 
	
	It would be foolish to underestimate the time 
	and effort that will be required to develop basic design capabilities and 
	then a broad family of working molecular devices; still, the path seems 
	clear to achieving the capabilities exhibited by existing biochemical 
	systems, by copying their features if need be.
 
	
	 
	
	 
	
	Molecular machinery
	
	A comparison of biochemical to macroscopic components will show the 
	possibilities of the former by analogy to the latter (see Table 1 below).
	
	
	 
	
	With structural members, moving parts, bearings, 
	and motive power, versatile mechanical systems can be built. Molecular 
	assemblages of atoms can act as solid objects, occupying space and holding a 
	definite shape. 
	
	 
	
	Thus, they can act as structural members and 
	moving parts. Sigma bonds that have low steric hindrance can serve as rotary 
	bearings able to support ~ 10-9 N. A line of sigma bonds can 
	serve as a hinge. Conformation-changing proteins (such as myosin) can serve 
	as sources of motive power for linear motion; the reversible motor of the 
	bacterial flagellum can serve as a source of motive power for rotary motion.
	
	
	 
	
	The existence of this range of components in 
	nature indicates that power-driven mechanical systems can be constructed on 
	a molecular scale.
	
	 
	
	 
	
	Table 1
	
	Comparison of macroscopic and microscopic components
	
	 
	
		
			| 
				
					| 
					Technology | 
					Function | 
					Molecular example(s) 
					 |  
					| 
					Struts, beams, casings 
					 | 
					Transmit force, hold positions
					 | 
					Microtubules, cellulose, mineral 
					structures  |  
					| 
					Cables | 
					Transmit tension  | 
					Collagen |  
					| 
					Fasteners, glue  | 
					Connect parts  | 
					Intermolecular forces 
					 |  
					| 
					Solenoids, actuators 
					 | 
					Move things  | 
					Conformation-changing proteins, 
					actin/myosin  |  
					| 
					Motors | 
					Turn shafts  | 
					Flagellar motor  |  
					| 
					Drive shafts  | 
					Transmit torque  | 
					Bacterial flagella  |  
					| 
					Bearings | 
					Support moving parts 
					 | 
					Sigma bonds  |  
					| 
					Containers | 
					Hold fluids  | 
					Vesicles |  
					| 
					Pipes | 
					Carry fluids  | 
					Various tubular structures
					 |  
					| 
					Pumps | 
					Move fluids  | 
					Flagella, membrane proteins
					 |  
					| 
					Conveyor belts  | 
					Move components  | 
					RNA moved by fixed ribosome 
					(partial analog)  |  
					| 
					Clamps | 
					Hold workpieces  | 
					Enzymatic binding sites 
					 |  
					| 
					Tools | 
					Modify workpieces  | 
					Metallic complexes, functional 
					groups  |  
					| 
					Production lines  | 
					Construct devices  | 
					Enzyme systems, ribosomes 
					 |  
					| 
					Numerical control systems 
					 | 
					Store and read programs 
					 | 
					Genetic system  |  | 
	
	
	
	By analogy with macroscopic devices, feasible molecular machines presumably 
	include manipulators able to wield a variety of tools. 
	
	 
	
	Thermal vibrations in typical structures are a 
	modest fraction of inter-atomic distances; thus, such tools can be 
	positioned with atomic precision. As present micro-technology 11 
	can lay down conductors on a molecular scale (10 nm) and molecular devices 
	can respond to electric potentials (through conformation changes, etc.), 
	such devices can be controlled by human operators or macroscopic machines.
	
	
	 
	
	Further, by analogy with biological sensors, 
	molecular scale instruments can evidently produce macroscopic signals, 
	indicating the feasibility of feedback control in molecular manipulations.
	
	Together, these arguments indicate the feasibility of devices able to move 
	molecular objects, position them with atomic precision, apply forces to them 
	to effect a change, and inspect them to verify that the change has indeed 
	been accomplished. It would be foolish to minimize the time and effort that 
	will be required to develop the needed components and assemble them into 
	such complex and versatile systems. Still, given the components, the path 
	seems clear.
	
	Ordinary chemical synthesis relies on thermal agitation to bring reactant 
	molecules in solution together in the correct orientation and with 
	sufficient energy to cause the desired reaction. Enzyme-like molecular 
	machines can hold reactants in the best relative positions as bonds are 
	strained or polarized. Like some enzymes, they can do work on reactant 
	molecules to drive reactions not otherwise thermodynamically favored.
	
	These are clearly techniques of great power, yet the synthetic capabilities 
	of systems based on polypeptide chains might seem limited by amino acid 
	properties. However, enzymes show that other molecular structures bound to 
	the polypeptide (such as metal ions and complex ring structures)11 can 
	extend protein capabilities. The range of such tools is large and greater 
	than found in nature. 
	
	 
	
	Thus, the synthetic capabilities of enzymes set 
	only a lower bound on the capabilities of engineered protein systems. 
	Indeed, as tool-wielding protein systems can control the chemical 
	environment of a reaction site completely, they should be able, at a 
	minimum, to duplicate the full range of moderate-temperature synthetic steps 
	achieved by organic chemists. 
	
	 
	
	Further, where chemists must resort to complex 
	strategies to make or break specific bonds in large molecules, molecular 
	machines can select individual bonds on the basis of position alone. 
	Conventional organic chemistry can synthesize not only one-, two-, and 
	three-dimensional covalent structures but also exotic strained and fused 
	rings. 
	
	 
	
	With the addition of controlled site-specific 
	synthetic reactions, a broad range of large complex structures can doubtless 
	be built.
	
	Still, the synthetic abilities of protein machines will be limited by their 
	need for a moderate temperature aqueous environment (although applied forces 
	can sometimes replace or exceed thermal agitation as a source of activation 
	energy and reaction sites and reactive groups can be protected from the 
	surrounding water, as in some enzymatic active sites). 
	
	 
	
	These limits may be sidestepped by using the 
	broad synthetic capabilities outlined above to build a second generation of 
	molecular machinery whose components would not be coiled hydrated 
	polypeptide chains but compact structures having three-dimensional covalent 
	bonding. 
	
	 
	
	There is no reason why such machines cannot be 
	designed to operate at reduced pressure or extreme temperatures; synthesis 
	can then involve highly reactive or even free radical intermediates, as well 
	as the use of mechanical arms wielding molecular tools to strain and 
	polarize existing bonds while new molecular groups are positioned and forced 
	into place. This may be done at high or low temperature as desired. 
	
	 
	
	The class of structures that can be synthesized 
	by such methods is clearly very large, and one may speculate that it 
	includes most structures that might be of technological interest.
	
	 
	
	 
	
	
	Firmness of the 
	argument
	
	The development path described above should lead to advanced molecular 
	machinery capable of general synthesis operations. As the results of this 
	path can be shown to have consequences for the present, it is of interest to 
	discuss the degree of confidence that should be placed in its feasibility.
	
	It might be argued that complex protein or non-protein machines are 
	impossible or useless, on the grounds that, if they were possible and 
	useful, organisms would be using them. A similar argument would, however, 
	conclude that bone is a better structural material than graphite composite, 
	that neurons can transmit signals faster than wires, and that technology 
	based on the wheel is impossible or useless. 
	
	 
	
	Nature has been constrained less by what is 
	physically possible than by what could be evolved in small steps. Thus, the 
	absence of a proposed kind of molecular machinery in organisms in no way 
	suggests its infeasibility.
	
	To deny the feasibility of advanced molecular machinery, one must apparently 
	maintain 
	
		
			- 
			
			either (i) that design of proteins will 
			remain infeasible indefinitely 
- 
			
			or (ii) that complex machines cannot be 
			made of proteins 
- 
			
			or (iii) that protein machines cannot 
			build second-generation machines 
	
	In light of the expected improvements in 
	computation, the simplified task of design engineers (compared with 
	scientists), the possibilities offered by sheer trial-and-error modification 
	of natural proteins, and the progress already made in protein design, the 
	first seems difficult to maintain. 
	
	 
	
	Further, even if protein design were to prove 
	intractable (because of difficulties in predicting conformations), this 
	would in no way preclude developing an alternative polymer system with 
	predictable coiling and using it as a basis for further development.
	
	In light of the presence of the needed components for mechanical devices in 
	the cell, the second seems difficult to maintain. Indeed, the cytoskeleton 
	provides a fair counterexample.
	
	In light of the results of synthetic organic chemistry and the ability of 
	molecular machines to make reactions site specific, it seems difficult to 
	maintain that non-protein machine components cannot be built and assembled.
	
	Each of the development steps outlined above seems closely analogous to past 
	steps taken by nature or by technology. Each of these steps can be 
	accomplished in many ways. To argue their infeasibility would seem to 
	require some general principle precluding success, and it is difficult to 
	see what such a principle might be like. Thus, the claim that advanced 
	molecular technology can be developed seems well founded.
	
	Although the existence of molecular machinery in cells indicates the 
	feasibility of some sort of artificial molecular machinery, errors in 
	assembly might limit the synthesis of structures of great complexity. In the 
	cell, molecular machinery uses DNA to direct the assembly of DNA and other 
	molecules. In some eukaryotic cells, DNA directs DNA synthesis with an error 
	rate of ~10-11 per nucleotide added.12 
	
	 
	
	As engineers commonly design systems to function 
	reliably with many more failed components than 1 in 1011, such an 
	error rate seems no barrier to the construction of quite complex devices.
	
	The possibility of low error rates is not surprising. For synthesis systems 
	permitting error detection and correction (such as DNA synthesis), the net 
	error rate in assembly can be reduced to roughly the product of the raw 
	error rate in assembly and the rate at which errors are falsely identified 
	as correct. 
	
	 
	
	As no uncertainty principle prohibits accurate 
	discrimination between objects of different kinds (such as correctly and 
	incorrectly assembled molecular structures), no limits to the detection and 
	correction of errors are apparent.
	
	 
	
	 
	
	
	Applications to 
	computation
	
	Molecular technology has obvious application to the storage and processing 
	of information. A crude approach would involve literal "molecular machinery" 
	patterned on the Babbage machine. In a more subtle approach, bits could be 
	represented by protons, bound electrons, reactive groups, or conformation 
	changes and transferred by movement of protons or of well-localized 
	electrons,13 excitons, or phonons. 
	
	 
	
	The range of plausible device speeds is 
	suggested by the 10-6-sec turnover time for a fast enzyme, by the 
	10-13 sec scale of collisional interactions, and by the 10-16 
	sec taken for an electron to cross an inter-atomic distance at a typical 
	Fermi velocity.
	
	It seems highly likely that a cubic cell 0.1 micrometers on a side 
	(containing some 108 optimally arranged atoms) can hold a bit or perform a 
	logic operation and, at the same time, transmit bits through itself to 
	provide communication from cell to cell in a lattice. If so, then computers 
	can be built with at least 1015 active elements per cubic 
	centimeter. 
	
	 
	
	In a well-designed computer (with elements 
	closer to their true technological limit and not laid out in regular cubical 
	cells), this volume estimate should prove quite conservative. Elements so 
	small will be sensitive to radiation damage; to be reliable, systems will 
	require a large measure of redundancy.
	
	Concern might be raised about the cost of such intricately patterned matter, 
	either because of labor or energy requirements. It seems clear, however, 
	that molecular-scale production systems can be completely automated (what 
	use is there for hands?). Thus, labor costs of production (including 
	production of additional production equipment) can approach zero. 
	
	 
	
	The energy needed to produce molecularly 
	engineered material will generally be greater than the energy needed to 
	produce ordinary materials of similar bulk composition, but analogy suggests 
	that the energy cost need not be vastly greater than for the production of 
	biological materials. 
	
	 
	
	In many cases (e.g., advanced computers or any 
	of a number of applications not discussed here), the unique value of the 
	products would make such energy costs unimportant, even if energy costs 
	remained high.
	
	 
	
	 
	
	
	Some biological 
	applications
	
	Molecular devices can interact directly with the ultimate molecular 
	components of the cell and thus serve as probes of unique value in studying 
	processes within the cell. Further, molecular devices can characterize a 
	frozen cell in essentially arbitrary detail by removal and characterization 
	of successive layers of material (atomically thin layers, if desired).
	
	
	 
	
	Although the amount of data involved is large (a 
	typical cell contains billions of protein molecules), the physical bulk of a 
	device able to store and manipulate this amount of data will be quite small.
	
	The change of temperature and water distribution during freezing modifies 
	cell structures in several ways, primarily by physical displacement of 
	structures by ice crystals and denaturation of proteins by concentration of 
	solutes in the residual liquid.14 With frozen tissue, knowledge 
	of normal structures (membrane geometries, natural protein structures) and 
	analysis of frozen structures (position of ice crystals, position of 
	denatured proteins) should permit quite accurate reconstruction of the 
	nature of the tissue before freezing.
	
	Such procedures would have special utility in analyzing the structure of 
	tissue in the brain. Unlike, say, muscle or liver tissue, the function of 
	brain tissue depends on the detailed three-dimensional structure of 
	intertwined cells and their interfaces. 
	
	 
	
	The freezing process is far too slow to stop 
	such dynamic processes as action potentials and synaptic transmission; 
	short-term memory, however, is suspected to involve chemical modification of 
	the neurons, and long-term memory is believed to involve the growth and 
	modification of neuronal structures, particularly synapses.15
	
	 
	
	At the modest freezing rates possible in 
	substantial pieces of tissue, ice crystals may be expected to nucleate and 
	grow in the intercellular fluid, displacing the cell membranes as they do 
	so.16 Electron micrographs, however, show that synapses (like 
	many intercellular junctions) involve complementary structures on both sides 
	of the intercellular gap, which should provide information enough to 
	reconstruct the pre-freezing configurations of the cells almost regardless 
	of ice crystal locations.
	
	The ability to reconstruct the pre-freezing structure of tissue, when 
	combined with the general synthetic capabilities outlined above, will make 
	feasible the physical restoration of tissue damaged by ordinary freezing 
	through characterization, reconstruction, and restoration of successive 
	segments of frozen material. Although restored to a frozen condition, such 
	tissue would lack the characteristic damage caused by the freezing process. 
	As many tissues can survive the gross insult of ordinary freezing 17, 
	it seems likely that most could survive freezing followed by repair. 
	
	 
	
	The remaining mode of damage would seem to be 
	denaturation of proteins sensitive to cold alone during the thawing process.
	
	
	 
	
	Should cell components of some species prove 
	sensitive to short periods of cold, they could presumably be modified to 
	resemble those of hardier species (hamsters can survive freezing of half 
	their body water)17 without changing either cell function or DNA.
	
	 
	
	 
	
	
	Implications for the 
	present
	
	The existence of a path to an advanced molecular technology has implications 
	for the present. As with all technologies, long-range promise should tend to 
	increase interest in undertaking the early steps, even beyond the interest 
	springing from more immediate benefits. The longer the expected wait, 
	however, the less the interest.
	
	On the other hand, molecular engineering of materials and devices can extend 
	the capabilities of technology many fold in many areas. The implications of 
	the feasibility of molecular technology are important to present day 
	speculations concerning the probable behavior (and likelihood of existence) 
	of extraterrestrial technological civilizations. 
	
	 
	
	Similarly, those concerned with the long-range 
	future of humanity must concern themselves with the opportunities and 
	dangers arising from this technology. 
	
	 
	
	Finally, the eventual development of the ability 
	to repair freezing damage (and to circumvent cold damage during thawing) has 
	consequences for the preservation of biological materials today, provided a 
	sufficiently long-range perspective is taken.
	
	 
	
	 
	
	
	Conclusion
	
	Development of the ability to design protein molecules will, by analogy 
	between features of natural macromolecules and components of existing 
	machines, make possible the construction of molecular machines. 
	
	 
	
	These machines can build second-generation 
	machines able to perform extremely general synthesis of three-dimensional 
	molecular structures, thus permitting construction of devices and materials 
	to complex atomic specifications. This capability has implications for 
	technology in general and in particular for computation and 
	characterization, manipulation, and repair of biological materials.
	
	I thank C. Peterson, P. Morrison, J. Lettvin, A. Kantrowitz, and C. Walsh 
	for their comments and criticism.
	
	 
	
	 
	
	
	Notes
	
		
		1 Feynman, R. (1961) in "Miniaturization", 
		ed. Gilbert, H. D. (Reinhold, New York), pp. 282-296.
		2 Krumhansl, J. A. & Pao, Y. H. (1979) "Physics Today" 32 (11), 25-32.
		3 Itakura, K. & Riggs, A. D. (1980) "Science" 209, 1401-1405.
		4 Nomura, M. & Held, W. (1974) in "Ribosomes", eds. Nomura, M., Tissiers, 
		A. & Lengyel, P. (Cold Spring Harbor Laboratory, Cold Spring Harbor, 
		NY), pp. 193-203.
		5 McCammon, J. A., Gelin, B. R. & Karplus, M. (1977) "Nature" (London) 
		267, 585-590.
		6 Scheraga, H. A. (1978) in "Versatilty of Proteins", ed. Li, C. H. 
		(Academic, New York), pp. 119-132.
		7 Karplus, M. & Weaver, D. L. (1976) "Nature" (London) 260, 404-406.
		8 Gund, P., Andose, J. D., Rhodes, J. B. & Smith, G. M. (1980) "Science" 
		208, 1425-1431.
		9 Gutte, B., Dannigen, M. & Wittschieber, E. (1979) "Nature" (London) 
		281, 650-655.
		10 Anonymous (1980) "Semiconductor International" 3 (5), 10.
		11 Walsh, C. (1979) "Enzymatic Reaction Mechanisms" (Freeman, San 
		Francisco), pp. 33, 38.
		12 Drake, J. (1969) "Nature" (London) 221, 1132.
		13 Chance, B., Mueller, P., DeVault, D. & Powers, L. (1980) "Physics 
		Today" 33 (10), 32-38.
		14 Fennema, O. R. (1973) in "Low-Temperature Preservation of Foods and 
		Living Matter", eds. Fennema, O. R., Powrie, W. D. & Marth, E. H. 
		(Dekker, New York), pp. 476-503.
		15 Entingh, D., Dunn, A., Glassman, E., Wilson, J. E., Hogan, E. & 
		Damstra, T. (1975) in "Handbook of Psychobiology", eds. Gazzinga, M. S. 
		& Blakemore, C. (Academic, New York), pp. 201-238.
		16 Fennema, O. R. (1973) in "Low-Temperature Preservation of Foods and 
		Living Matter", eds. Fennema, O. R., Powrie, W. D. & Marth, E. H. 
		(Dekker, New York), pp. 150-239.
		17 Fennema, O. R. (1973) in "Low-Temperature Preservation of Foods and 
		Living Matter", eds. Fennema, O. R., Powrie, W. D. & Marth, E. H. 
		(Dekker, New York), pp. 436-475.