A method for producing engineered heart muscle, the method comprising the steps of: (i) providing a serum-free reconstitution mixture in one or more moulds, said reconstitution mixture comprising (a) a serum-free minimum essential medium; (b) a serum-free supplement resulting in a final concentration of 0.5-50 mg/ml albumin, 1-100 μg/ml transferrin, 0.1-10 μg/ml ethanol amine, 0.003-0.3 μg/ml sodium selenite, 0.4-40 μg/ml L-Carnitine HCl, 0.1-10 μg/ml Hydrocortisone, 0.05-5 μl/ml Fatty acid supplement, 0.0001-0.1 μg/ml triodo-L-thyronine and 0.2-2 mg/ml collagen; and (c) a mixture of human cardiac myocytes and human non-myocytes, wherein 20 to 80% of the total cell mixture are cardiac myocytes; wherein the cardiac myocytes are not produced using a process which involves modifying the germ line genetic identity of human beings or which involves use of a human embryo for industrial or commercial purposes; wherein the reconstitution mixture has a pH of 7.2 to 7.6; (ii) culturing the serum-free reconstitution mixture in said one or more moulds, whereby the serum-free reconstitution mixture is allowed to condense for at least 15 min; (iii) culturing the mixture obtained in step (ii) in said one or more moulds in a serum-free EHM culture medium until the mixture condenses to at least 50% of its original thickness, wherein said EHM culture medium comprises (a) a basal medium comprising 0.5-3 mmol/L Ca 2+; (b) a serum-free supplement as defined in (i)(b); (c) 0.5-10 mmol/L L-glutamine; (d) 0.01-1.0 mmol/L ascorbic acid; (e) 1-100 ng/ml IGF-1; and (f) 1-10 ng/ml TGFβ1; (iv) culturing the mixture obtained in step (iii) under mechanical stretching in a serum-free EHM culture medium as defined in step (iii) (a)-(f), whereby force-generating EHM is formed. (i) providing a serum-free reconstitution mixture in one or more moulds, said reconstitution mixture comprising (a) a serum-free minimum essential medium; (b) a serum-free supplement resulting in a final concentration of 0.5-50 mg/ml albumin, 1-100 μg/ml transferrin, 0.1-10 μg/ml ethanol amine, 0.003-0.3 μg/ml sodium selenite, 0.4-40 μg/ml L-Carnitine HCl, 0.1-10 μg/ml Hydrocortisone, 0.05-5 μl/ml Fatty acid supplement, 0.0001-0.1 μg/ml triodo-L-thyronine and 0.2-2 mg/ml collagen; and (c) a mixture of human cardiac myocytes and human non-myocytes, wherein 20 to 80% of the total cell mixture are cardiac myocytes; wherein the cardiac myocytes are not produced using a process which involves modifying the germ line genetic identity of human beings or which involves use of a human embryo for industrial or commercial purposes; wherein the reconstitution mixture has a pH of 7.2 to 7.6; (ii) culturing the serum-free reconstitution mixture in said one or more moulds, whereby the serum-free reconstitution mixture is allowed to condense for at least 15 min; (iii) culturing the mixture obtained in step (ii) in said one or more moulds in a serum-free EHM culture medium until the mixture condenses to at least 50% of its original thickness, wherein said EHM culture medium comprises (a) a basal medium comprising 0.5-3 mmol/L Ca 2+; (b) a serum-free supplement as defined in (i)(b); (c) 0.5-10 mmol/L L-glutamine; (d) 0.01-1.0 mmol/L ascorbic acid; (e) 1-100 ng/ml IGF-1; and (f) 1-10 ng/ml TGFβ1; (iv) culturing the mixture obtained in step (iii) under mechanical stretching in a serum-free EHM culture medium as defined in step (iii) (a)-(f), whereby force-generating EHM is formed.