An infusion pump device, comprising a peristaltic pump means including - a stationary flexible, preferably resilient, tubing which has an inlet and an outlet and is provided to accommodate a fluid flowing in downstream direction from the inlet to the outlet, and - at least two engagement elements (22, 26) which are spaced from each other by a predetermined constant distance and provided to locally engage with the tubing and to be repeatedly moved along the tubing in downstream direction so as to locally squeeze the tubing for a pump action during movement of the engagement element along the tubing and to encapsulate a volume of the tubing between two neighboring engagement elements (22, 26), - wherein the tubing comprises first to fourth zones (A to D) directly joining each other in downstream direction, - wherein the first zone being the most upstream zone is provided so that an engagement element (22, 26) comes into engagement with the tubing during movement along the first zone, - wherein the second and third zones (B, C) are provided so that an engagement element (22, 26) remains in engagement with the tubing during movement along the second and third zones (B, C), - wherein the fourth zone being the most downstream zone is provided so that an engagement element (22, 26) is disengaged from the tubing during movement along the fourth zone, - wherein the length of each of the first, second and fourth zones (A, B and D) is shorter than the distance between the two neighboring engagement elements (22, 26), and - wherein the cross-section of the second zone is larger than the cross-section of the third zone by an amount leading to an increase of volume which is at least equal to an increase of volume displaced in the fourth zone resulting from the disengagement of an engagement element (22, 26) from the tubing, characterized in that - the second zone following the first zone in downstream direction commences at a starting point where an engagement element enters the second zone at the same time when in the fourth zone a neighboring leading engagement element just stops squeezing the tubing and is going to be disengaged from the tubing so that a flow communication is just going to come up, - the third zone following downstream the second zone commences at a start point where an engagement element enters the third zone whereas at the same time a neighboring leading engagement element has already been disengaged from the tubing and, thus, does not touch the tubing anymore, - the length of the third zone is also shorter than the distance between the two neighboring engagement elements (22, 26), - the sum of the lengths of the second and third zones (B, C) is equal to the distance between the two neighboring engagement elements (22, 26), and - the length of the second zone is equal to the length of the fourth zone. - a stationary flexible, preferably resilient, tubing which has an inlet and an outlet and is provided to accommodate a fluid flowing in downstream direction from the inlet to the outlet, and - at least two engagement elements (22, 26) which are spaced from each other by a predetermined constant distance and provided to locally engage with the tubing and to be repeatedly moved along the tubing in downstream direction so as to locally squeeze the tubing for a pump action during movement of the engagement element along the tubing and to encapsulate a volume of the tubing between two neighboring engagement elements (22, 26), - wherein the tubing comprises first to fourth zones (A to D) directly joining each other in downstream direction, - wherein the first zone being the most upstream zone is provided so that an engagement element (22, 26) comes into engagement with the tubing during movement along the first zone, - wherein the second and third zones (B, C) are provided so that an engagement element (22, 26) remains in engagement with the tubing during movement along the second and third zones (B, C), - wherein the fourth zone being the most downstream zone is provided so that an engagement element (22, 26) is disengaged from the tubing during movement along the fourth zone, - wherein the length of each of the first, second and fourth zones (A, B and D) is shorter than the distance between the two neighboring engagement elements (22, 26), and - wherein the cross-section of the second zone is larger than the cross-section of the third zone by an amount leading to an increase of volume which is at least equal to an increase of volume displaced in the fourth zone resulting from the disengagement of an engagement element (22, 26) from the tubing, characterized in that - the second zone following the first zone in downstream direction commences at a starting point where an engagement element enters the second zone at the same time when in the fourth zone a neighboring leading engagement element just stops squeezing the tubing and is going to be disengaged from the tubing so that a flow communication is just going to come up, - the third zone following downstream the second zone commences at a start point where an engagement element enters the third zone whereas at the same time a neighboring leading engagement element has already been disengaged from the tubing and, thus, does not touch the tubing anymore, - the length of the third zone is also shorter than the distance between the two neighboring engagement elements (22, 26), - the sum of the lengths of the second and third zones (B, C) is equal to the distance between the two neighboring engagement elements (22, 26), and - the length of the second zone is equal to the length of the fourth zone.