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We explore the sensitivity of the nucleosynthesis due to type Ia supernovaewith respect to uncertainties in nuclear reaction rates. We have adopted astandard one-dimensional delayed detonation model of the explosion of aChandrasekhar-mass white dwarf, and have post-processed the thermodynamictrajectories of every mass-shell with a nucleosynthetic code, with increases(decreases) by a factor of ten on the rates of 1196 nuclear reactions. We havecomputed as well hydrodynamic models for different rates of the fusionreactions of 12C and of 16O. For selected reactions, we have recomputed thenucleosynthesis with alternative prescriptions for their rates taken from theJINA REACLIB database, and have analyzed the temperature ranges wheremodifications of their rates have the strongest effect on nucleosynthesis.  The nucleosynthesis resulting from the Type Ia supernova models is quiterobust with respect to variations of nuclear reaction rates, with the exceptionof the reaction of fusion of 12C nuclei. The energy of the explosion changes byless than \sim4%. The changes in the nucleosynthesis due to the modification ofthe rates of fusion reactions are as well quite modest, for instance no specieswith a mass fraction larger than 0.02 experiences a variation of its yieldlarger than a factor of two. We provide the sensitivity of the yields of themost abundant species with respect to the rates of the most intense reactionswith protons, neutrons, and alphas. In general, the yields of Fe-group nucleiare more robust than the yields of intermediate-mass elements. Among thecharged particle reactions, the most influential on supernova nucleosynthesisare 30Si + p \rightleftarrows 31P + {\gamma}, 20Ne + {\alpha} \rightleftarrows24Mg + {\gamma}, and 24Mg + {\alpha} \rightleftarrows 27Al + p. Thetemperatures at which a modification of their rate has a larger impact are inthe range 2 < T < 4 GK. (abridged)

Sensitivity study of explosive nucleosynthesis in Type Ia supernovae: I. Modification of individual thermonuclear reaction rates