An expandable, flexible multi-tubular cryoprobe, comprising: a) a housing for receiving an inlet flow of near critical cryogenic fluid from a fluid source and for discharging an outlet flow of said cryogenic fluid; b) an outer support tube connected to said housing; c) a set of radially spaced inlet fluid transfer tubes, comprising a plurality of inlet fluid transfer tubes, having proximal ends securely attached to an inner surface of said outer support tube, said inlet fluid transfer tubes for receiving said inlet flow from said housing, each of said fluid transfer tubes being formed of material that maintains flexibility in a range of temperatures from -200°C to ambient temperature, each fluid transfer tube having an inside diameter in a range of between about 0.10 mm and 1.0 mm, each fluid transfer tube having a wall thickness in a range of between about.01 mm and.30 mm; d) a proximal internal support tube attached to said outer support tube and to internal surfaces of said proximal ends of said inlet fluid transfer tubes, thus forming a hollow space to provide a thermal insulation between said outer support tube and said inlet fluid transfer tubes; e) an outlet fluid transfer tube positioned within said proximal internal support tube, said outlet fluid transfer tube being axially positionable and rotatable relative to said proximal internal support tube, said outlet fluid transfer tube for discharging said outlet flow to said housing; f) a distal external end cap secured about distal ends of said inlet fluid transfer tubes and about the distal end of said outlet fluid transfer tube to provide fluid transfer from said inlet fluid transfer tubes to said outlet fluid transfer tube wherein a closed hollow space is formed between said end cap and said distal end of said outlet fluid transfer tube to provide fluid transfer from said distal ends of said inlet fluid transfer tubes to said distal end of said outlet fluid transfer tube; g) an open portion of said inlet fluid transfer tubes located between said outer support tube and said distal external end cap; and, h) mechanical means operatively associated with said outlet fluid transfer tube for providing axial displacement of said distal external end cap relative to said outer support tube, wherein, decreasing the distance therebetween results in radial expansion of said inlet fluid transfer tubes to provide enhanced thermal contact thereof with target biological tissue to be treated at said open portion. a) a housing for receiving an inlet flow of near critical cryogenic fluid from a fluid source and for discharging an outlet flow of said cryogenic fluid; b) an outer support tube connected to said housing; c) a set of radially spaced inlet fluid transfer tubes, comprising a plurality of inlet fluid transfer tubes, having proximal ends securely attached to an inner surface of said outer support tube, said inlet fluid transfer tubes for receiving said inlet flow from said housing, each of said fluid transfer tubes being formed of material that maintains flexibility in a range of temperatures from -200°C to ambient temperature, each fluid transfer tube having an inside diameter in a range of between about 0.10 mm and 1.0 mm, each fluid transfer tube having a wall thickness in a range of between about.01 mm and.30 mm; d) a proximal internal support tube attached to said outer support tube and to internal surfaces of said proximal ends of said inlet fluid transfer tubes, thus forming a hollow space to provide a thermal insulation between said outer support tube and said inlet fluid transfer tubes; e) an outlet fluid transfer tube positioned within said proximal internal support tube, said outlet fluid transfer tube being axially positionable and rotatable relative to said proximal internal support tube, said outlet fluid transfer tube for discharging said outlet flow to said housing; f) a distal external end cap secured about distal ends of said inlet fluid transfer tubes and about the distal end of said outlet fluid transfer tube to provide fluid transfer from said inlet fluid transfer tubes to said outlet fluid transfer tube wherein a closed hollow space is formed between said end cap and said distal end of said outlet fluid transfer tube to provide fluid transfer from said distal ends of said inlet fluid transfer tubes to said distal end of said outlet fluid transfer tube; g) an open portion of said inlet fluid transfer tubes located between said outer support tube and said distal external end cap; and, h) mechanical means operatively associated with said outlet fluid transfer tube for providing axial displacement of said distal external end cap relative to said outer support tube, wherein, decreasing the distance therebetween results in radial expansion of said inlet fluid transfer tubes to provide enhanced thermal contact thereof with target biological tissue to be treated at said open portion.