The invention provides a method for the expansion of anti-tumor T-cells, comprising the steps of: a) providing a phagocytosable particle, having one or more tumor neoantigenic constructs tightly associated thereto, wherein the tumor neoantigenic construct comprises an amino-acid sequence comprising at least one mutated amino acid known or suspected to be associated with a cancer in a subject, or a mutated or non-mutated amino-acid sequence known or suspected to be expressed in a cancer cell in the subject; b)providing a viable antigen-presenting cell; c)contacting the particle with the antigen-presenting cell in vitro under conditions allowing phagocytosis of the particle by the antigen-presenting cell; d)providing a T-cell sample comprising viable T-cells from the subject; e)contacting the T-cell sample with the antigen-presenting cell contacted with the particle in vitrounder conditions allowing specific activation of anti-tumor T-cells in response to antigen presented by the antigen-presenting cell. The invention also provides tumor neoantigenic constructs as defined in the specification.