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The Biology of Information. not a keynote , but a footnote on molecular biology and computation for Rocky 1. Walter Fontana (SFI) walter@santafe.edu www.santafe.edu/~walter. 1. What can computation do for biology?. The computer as…. The computer as…. … theater : simulation, modeling.
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The Biology of Information not a keynote, but a footnote on molecular biology and computation for Rocky 1 Walter Fontana (SFI) walter@santafe.edu www.santafe.edu/~walter
The computer as… …theater: simulation, modeling
The computer as… …theater: simulation, modeling …library: organization of data
The computer as… …theater: simulation, modeling …library: organization of data …instrument: component of experiment
The computer as… …theater: simulation, modeling …library: organization of data …instrument: component of experiment …mathematical structure: formalism, concept
1. What can computation do for biology? 2. What can biology do for computation?
molecular biology and computer science are in the same conceptual business …but this business is not well understood on both sides…
molecular biology and computer science are in the same conceptual business at the very minimum, both are about structure-behavior relations, i.e. configuring systems to engender specific behaviors (both are “programming” disciplines)
a self-printing program in C now imagine these expressions… … decaying … moving around … combining into imprecise meanings … acting in parallel & asynchronously
a self-printing program now imagine these expressions… … decaying … moving around … combining into imprecise meanings … acting in parallel & asynchronously
molecular components… …turn over (from minutes to days) …are stochastic (wrt reliability, number, recognition) …move around (passively or actively) in a structured medium …communicate through physical contact …control each other’s state and production …are often multipurpose …need (lots of) energy for communication …operate concurrently
…which entails a suite of issues, such as: turn-over of components: persistence of identity memory of state stochasticity (in number and recognition): error-correction massive concurrency: emergence of determinism coordination & conflicts communication by contact: energy transport control of space
biological architectures emphasize systemic capacities, e.g. plasticity reconfigurability compressibility evolvability (neutrality, modularity) autonomy self robustness all these features are desirable but absent in present day computer architectures
+ IS NOT in biological systems, there is no “software running on something” !
in (theoretical) computer science… …physical hardware is distinct from software. (in CS, “machine” is a software notion) in biology… …physical hardware is software
analog digital physics • dynamics • stochasticity • effective potentials • combinatorial trajectories & path-dependency • discrete events & concurrency • object syntax and action • generative interactions logic
A few vignettes where the gap between computation and molecular biology is widest
Who is the “signal”?? enzyme kinetics 101
multiple phosphorylation in proteins (phosphobase*) W.Fontana & D.Krakauer (in progress) * A. Kreegipuu, N. Blom, S. Brunak. Nucleic Acids Research (1998/1999)
shifting the threshold by positioning P-chains of different width at various depths in a cascade
multiple phosphorylation as pulse filter W.Fontana & D.Krakauer (in progress)
multiple phosphorylation as pulse filter W.Fontana & D.Krakauer (in preparation)
stochastic treatment of a P-chain with symmetric feedback large J: Bose-Einstein |relative average diff of end states| small J: Curie-Weiss n/signal S.Krishnamurty, E.Smith, D.Krakauer, W.Fontana Phys.Rev.Lett., submitted second order phase-transition
idea by M.Sasai & P.Wolynes: stochastic master equation introduce operator algebra familiar from many-body physics obtain equivalent equation, now approachable by techniques from many-body physics effective potentials
Sasai & Wolynes: “Stochastic gene expression as a many-body problem”, PNAS, 100, 2374–2379 (2003). the landscape concept made formally precise by techniques from statistical mechanics “programming” becomes sculpting an appropriate landscape. But how? (cf. neural networks, spin glasses…) the landscape metaphor: from energy landscapes in proteins to epigenetic landscapes a la Waddington
allosteric RNA gates Milan N Stojanovic, Darko Stefanovic. Nature Biotechnology, 21, 1069 - 1074 (2003)
Why do we need the formalisms of computation and logic? a pragmatic answer: more tools get us to more places. a deeper answer: because we need a theory of (molecular) objects. Why? Because the pressing (and recalcitrant) question for biology is not only to describe the behavior of a particular system, but to understand that system in the context of the possible, i.e. of what is evolutionarily accessible to it. Stated differently: we must eventually be able to reason about novelty. We never can do so within the confines of dynamical systems, because dynamical systems do not represent the objects they are made of. (Remember chemistry.)
we need an abstraction of chemistry in which molecules are interacting computational agents the grand challenge: describe a system with an expression that is at the same time a program to “run” that system AND a formula to reason about it abstractly.
A brief coda where the gap between computation and molecular biology is closing (at the formal language end)
Old notion of computation no interaction with the “environment” function output input semantics: input-output relation
New notion of computation interaction with the “environment” process semantics: potential sequences of interaction events
computation: function process analogy in physics: closed system open system equilibrium normal form main concern: organization