Consider the following model for the interaction of the agonist L with its receptor R. For signaling, the agonist-receptor complex (C1) must bind to an intracellular effector X to form the signaling complex C2. (10 points) R = number of free receptors C1, C2 = number of complexes 1 and 2 L = free ligand concentration X = number of free effector RT = total number of receptors/cell XT = total number of effectors/cell L0 = total ligand concentration Derive the governing differential equations for C1 and C2 as a function of RT, L0, XT, and rate constants. Assume no ligand depletion ChatGPT The diagram you've provided shows a classic receptor-ligand interaction with subsequent effector binding. To derive the governing differential equations for 1 C 1 and 2 C 2 , we consider the following reactions and their corresponding rate constants: Ligand ( L) binding to receptor ( R): + 1 L+R k r k f C 1 Formation of signaling complex ( 2 C 2 ) from 1 C 1 and effector ( X)