COM SCI CM186 Chapter Notes - Chapter 2 pg 41-51: Algebraic Equation, Malthusianism, Biophysics
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The basic laws of physics, and biophysics, are represented symbolically by mathematical models, defining relationships between fundamental physical variables. Newton"s second law example if a force of magnitude f is applied to a mass of m units, the acceleration a of the mass is related to f by the equation f=ma. Can be written as a relationship between f and the velocity and mass. Ohm"s law states that, if a voltage of magnitude v is applied across a resistor of r units, the electrical current i through the resistor is related to v by the algebraic equation v=ri. Without loss of focus on the math here, these two laws surely are well validated, by virtually uncountable data collected under appropriately controlled conditions. But they are not valid in some circumstances. The idea of population growth base on this equation: dn/dt=cn.