This thesis develops mathematical and numerical frameworks for the modeling of bacterial bioflms as multiphase systems, with particular emphasis on thermal efects, quorum-sensing mechanisms, and growth regulation. After presenting the biological background of bioflms and their multiphase organization, the work establishes the main analytical and numerical tools required for the subsequent developments, including functional-analytic notions, con- cepts of weak convergence, semigroup-based techniques, and standard discretization meth- ods. A frst contribution consists in extending a three-phase bioflm formulation by incorporat- ing a thermobiophysical coupling through a heat-balance equation, allowing the main kinetic and transport coefcients to depend explicitly on temperature. A thin-flm reduction is in- troduced in order to derive a tractable system, and a fnite-diference numerical scheme is proposed together with a stability analysis. In addition, a growth-damping term is included in the reduced thickness equation to prevent unrealistically rapid thickening and to account, at the macroscopic level, for the mechanical resistance induced by biomass accumulation. Numerical simulations in an axisymmetric setting illustrate the infuence of temperature variations on bioflm growth, swelling behavior, transport processes, and thickness regula- tion. A second contribution proposes a coupled reaction–difusion framework integrating quorum sensing, antibiotic response, and temperature dynamics, including metabolic heat generation and its feedback on biological evolution. The well-posedness of the resulting system is established through semigroup theory, and a numerical approximation based on fnite ele-ments in space and backward Euler time integration is constructed and analyzed. Numerical experiments implemented in Matlab highlight the efect of temperature on quorum-sensing activity and on the overall evolution of the bioflm. The thesis concludes with a synthesis of the main results and outlines several perspec- tives for future research, including parameter calibration, experimental validation, model extensions, improvements in computationnel efciency, and control-oriented applications.