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What Can I Read to Learn Something About ....
The following are general references on various subjects relevent to Cellerator, signal transduction modeling, and mathematical modeling in biology. The list is not exhaustive and there are lots of other excellent books on these subjects. The texts listed are merely starting points for students interested in learning more about one of these particular areas.
The annotations are purely my own and do not reflect the official opinion of JPL, NASA or Caltech. We can not provide copies of these books. Check your local library!
Bower, James and Bolouri, Hamid, ed. (2001) Computational Modeling of genetic and biochemical networks. MIT Press.
Kitano, Hiroaki, ed. (2001) Foundations of systems biology. MIT Press.
Cantor, Charles R and Schimmel, Paul R (1980) Biophysical Chemistry, Part III: The behavior of biological macromolecules. W.H. Freeman. (Advanced - not readable unless you have already read Segal or the equivalent.)
Segal, Lee (ed) (1991) Biological kinetics, Cambridge University Press. (Introductory)
Segel, Irwin (1993), Enzyme Kinetics: Behavior and Analysis of Rapid Equilibrium and Steady-State Enzyme System, Wiley
General Modeling in Physiology:
Fall, Christopher W, Marland, Eric S, Wagner, John M, and Tyson, John D (2002) Computational cell biology. Springer-Verlag. (More computationally oriented than Keener & Sneyd).
Keener, James and Sneyd, James (1998) Mathematical physiology. Springer-Verlag.
General Modeling in Biology:
Britton, Nicholas F. (2003) Essential Mathematical Biology. Springer-Verlag. (Undergraduate)
Edelstein-Keshet, Leah (1988) Mathematical models in biology. Random House. (Undergraduate; requires some background in differential equations. A little dated but the best place to start if you are new to mathematical biology and don' remember calculus very well).
Murray, James D. (1989) Mathematial biology, Springer-Verlag. (Graduate; more advanced than Edelstein-Keshet).
Taubes, Clifford Heny (2001) Modeling differential equations in biology. Prentice Hall. (Undergraduate - no prior background in DE required).
Hoppenstadt, Frank C (1997) An introduction to the matehamtics of neurons, modeling in the frequency domain. Cambridge University Press.
Koch, Christof (1999) Biophysics of computation, Oxford University Press.
Koch, Christof and Segev, Idan, ed. (1998) Methods in neuronal modeling, 2nd. ed. MIT Press.
Wilson, Hugh R (1999) Spikes, decision and action, dynamical foundations of neuroscience. Oxford University Press.
Differential Equations - Technique (Undergraduate-no prior knowledge of DE required)
Boyce, William E and DiPrima, RIchard C (2001) Elementary differential equations and boundary value problems. Wiley. (THE Classic introductory text, easy to read, lots of worked examples).
Redheffer, Ray and Port, Dan (1991) Differential equations: theory and applications. Jones and Bartlett.
Tenenbaum, Morris and Pollard, Harry (1985) Ordinary differential equation (reprint of 1963 edition). Dover Publications. (More cook-bookish than either Redheffer or Boyce & DiPrima).
Differential Equations - Theory
Coddington, Earl A (1989) An introduction to ordinary differential equations (reprint of 1958 editions). Dover Publications. (Undergraduate. No prior knowldege of DE required but easier to read if you have already completed a text such as Boyce and DiPrima)
Coddington, Earl and Levinson, Norman (1984) Theory of ordinary differential equations (reprint of 1955 edition), Krieger Publishing Company (Graduate. Very difficult).
Hurewicz, Witold (2002) Lectures on ordinary differential equations (reprint of 1958 edition). SIAM Press. (Undergraduate. No prior knowldege of DE required but easier to read if you have already completed a text such as Boyce and DiPrima)
Differential Equations - Nonlinear Dynamics
Guckenheimer, John and Holmes, Beverly (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer-Verlag. (Theoretical, graduate, fairly difficult, but possible to read in a first course in dynamical systems for a student who already has an advanced graduate course in the theory of ODE, e.g., at the level of Coddington and Levinson.)
Hale, J and Kocak, H (1991) Dynamics and Bifurcations. Springer-Verlag. (Undergraduate; more difficult and somewhat more advanced than Strogatz; but readable as a first course on bifurcations).
Hubbard, John and West Beverly (1995) Differential equations: a dynamical systems approach, Volume 1, Ordinary differential equations, and Volume 2: Higher dimensional systems. Springer Verlag. (Integrated introduction to methods and theory of ordinary differential equations; no prior knowledge of DE's required. Undergraduate; a first course in differential equations. ).
Nayfeh, Ali H and Balachandran, Balakumar (1995) Applied nonlinear dynamics: anayltical, computational, and experimental methods. Wiley. (Applied, Advanced undergraduate. Readable, applied, very little prior background in the subject required. A first course in dynamical systems.)
Strogatz, Steven H (1994) Nonlinear dynamics and chaos, with applications to physics, biology and engineering. Perseus Books. (Undergraduate. The absolutely best-ever written introduction to the subject. No prior background required, but some knowledge of DEs useful. A first course in dynamical systems and chaos.)
Wiggins, Stephen (1990) Introduction to nonlinear dynamical systems and chaos. Springer Verlag.(Theoretical, graduate, difficult, an advanced course.)
Last Updated 2/21/2002