Abstract
A successful cryopreservation is based on knowledge of the optimal cooling rate. So far, this is often determined by way of complex parameter studies. Alternatively, the identification of cell specific characteristics, such as osmotic behaviour, membrane hydraulic permeability and activation energy could be used to calculate the optimal cooling rate. These parameters should be determined for supra-zero and sub-zero temperatures. In this study cryomicroscopy was used. Mesenchymal stromal cells (MSCs) from bone marrow were analysed. The determined membrane hydraulic permeability for sub-zero temperatures is significantly lower than that for supra-zero temperatures. On the contrary the activation energy is significantly higher in the presence of ice. The addition of a cryoprotective agent (CPA) such as dimethyl sulfoxid (DMSO) shows an additional influence on the characteristics of the membrane of the cell. The optimal cooling rate was determined with these parameters. For cryopreservation without DMSO the optimal cooling rate was found to be 12.82 K/min. If the MSCs were frozen with 5% (v/v) DMSO the optimal cooling rate is 16.25 K/min.
1 Introduction
Regenerative medicine is one of the areas with the most dynamic growth. The main tool is vital cells, especially stem cells, which have enormous potential due to their multifunctional characteristics [1]. A continuous provision with viable and functioning cells is required in order to get a successful application [2]. Therefore, the feasibility of long-term cell storage plays an important role in regenerative medicine [3]. Currently, cryopreservation is the only method to store biological material and vital cells permanently without damage [4]. A successful cryopreservation is based on the knowledge of the correct CPA and the optimal cooling rate. So far, the optimal cooling rate is determined often experimentally by complex, time-consuming and costly parameter studies [5]. In order to avoid these, the optimal cooling rate can also be calculated via cell specific biophysical parameters. Common parameters to be ascertained in this respect are the osmotic behaviour, the membrane hydraulic permeability and the activation energy [6], [7].
In this study the biophysical parameters of MSCs (from bone marrow) are examined by cryomicroscopy. By using the cryomicroscope it is not only possible to observe cell volume changes at different salt concentrations but also in connection with supra-zero and sub-zero temperatures. By measurement of the volume change and subsequent application of theoretical models the biophysical parameters can be determined. With knowledge of these parameters the optimal cooling rate can be calculated deduced.
2 Material and methods
2.1 Mesenchymal stromal cells
The MSCs were initially isolated from the bone marrow of the common marmoset monkey by the group of T. Müller [8]. The MSCs were cultured in Dulbecco’s modified Eagle’s medium (DMEM) with 15% fetal bovine serum (FBS), 0.1% ascorbic acid and 1% penicillin/streptomycin (Biochrom GmbH, Germany) until reaching 80% confluence in a CO2 incubator at 37°C and 5% CO2. For the counting of cells the cell analyser Vi-Cell™ XR (Beckman Coulter GmbH, Krefeld, Germany) was used.
2.2 Solutions
For the examination of osmotic behaviour, Hydroxyethyl piperanzine-ethanesulfonic (HEPES) buffered solutions with salt concentrations of 240, 260, 300, 400, 500 and 600 mosm/kg were used. The cryopreservation of the MSCs had been carried out with and without 5% (v/v) DMSO.
2.3 Cryomicroscopy
All tests were executed under the microscope Axio Imager (Carl-Zeiss, Germany) and images were recorded by using the digital video camera (Retiga ECi Past 1394, QImaging). The cooling profile was set with the temperature-controlled chamber Linkam FDCS-196.
First, the osmotic behaviour at different constant temperatures of 0, 4, 15, 22 and 37°C was observed under the cryomicroscope. For this purpose, 106 cells were prepared in an Eppendorf tube with 200 μl medium. 20 μl of the cell suspension is mixed with 50–75 μl MSC-medium on a Poly-L-Lysin (PLL) plate which is located in a quartz crucible (Resultec, Germany). After the appropriate temperature has been reached, the MSC-medium was removed and 50–75 μl HEPES solution was added. After adding the corresponding HEPES solution, the change in volume is determined over time.
By freezing investigation the change in volume depending on the temperature has been determined. For this, the experimentally identified-cooling rate of 7.5 K/min to −30°C and 3 K/min to −80°C was used under the cryomicroscope. In each Eppendorf tube 106 cells were prepared in 50 μl medium for the experiments. 50 μl of the respective cryo solution is slowly added (with or without DMSO) to the cell suspension and resuspended. 5 μl of this suspension is now pipetted into the middle of the quartz crucible and covered with a small sterile cover slip.
The evaluation of all cryomicroscope recordings was carried out using the software ImageJ fiji. For the osmotic experiments the volume of 20 cells per frame is determined and formed the arithmetic mean. The evaluation of the freezing tests is done with 12–14 cells per frame from the moment of entering nucleation.
2.4 Estimation of the membrane hydraulic permeability
The transportation of water and CPAs across the cell membrane together with the change in volume of the cell has been investigated by means of theoretical models.
The membrane hydraulic permeability at supra-zero temperatures is identified in the presence as well as in the absence of CPAs by two coupled differential equations. They describe the change in volume and in solution movement across the membrane as a function of time (dV/dt). The water flow of the cell is given by [6]:
Lp: Membrane hydraulic permeability, R: Universal gas constant, T: Temperature, M: Osmolality, Me–Mi Osmotical gradient between extra- und intracellular solution.
The membrane hydraulic permeability at sub-zero temperatures is described by an extended water transport model. This describes the change in volume during freezing of the cell as a function of the cell dimension and the membrane permeability parameter. To integrate the effects of the CPA, further modifications of the model were carried out. Frequently used in this regard is the 2-parameter-model of Mazur, which is used in its simplified form as follows [9]:
The meaning of the relevant parameters and the values being used for this work are shown in the following table (see Table 1).
| Symbol | Description | Value | SI unit |
|---|---|---|---|
| A | Membrane surface area of the cell | 377.44 | m2 |
| B | Cooling rate | 7.5 | K/min |
| ELp | Activation energy | J/mol | |
| ΔHf | Heat of fusion of water | 6010.57 | J/mol |
| Lp | Membrane hydraulic permeability | m/sPa | |
| Lpg | Permeability of the membrane to water at TR | m/sPa | |
| ncpa | Number of moles of CPA (DMSO) in the cell | 3.19 × 10−13 | g/mol |
| ns | Number of moles of solutes in the cell | 1.49 × 10−13 | mol |
| R | Universal gas constant | 8.314 | J/Kmol |
| T | Temperature | K | |
| TR | Reference temperature | 273.15 | K |
| V | Volume | m3 | |
| V0 | Isotonic volume | 689.52 | m3 |
| Vb | Osmotically inactive volume | 191.78 | m3 |
| vcpa | Molar volume of CPA (DMSO) | 7.1 × 10−5 | mol |
| vs | Dissociation constant of salt | 2 | m3/mol |
| vw | Molar volume of water | 1.8 × 10−5 | m3/mol |
2.5 Arrhenius relation
The water transport across the cell membrane depends on temperature. A measurement for this dependence can be described by the activation energy. The activation energy can be ascertained by using the Arrhenius-correlation and the Arrhenius-graph. The connection between membrane hydraulic permeability and temperature can be determined by using the Arrhenius equation [10]:
Lpg: Permeability of the membrane to water at TR, TR: Reference temperature (273.15 K), ELP: Activation energy, R: Universal gas constant.
2.6 Calculation of the optimal cooling rate
Knowing the biophysical parameters, the optimal cooling rate is determined by the following equation [11]:
ELP: Activation energy for the permeation process, Lpg: Permeability of the membrane to water at TR, A: Membrane surface area of the cell, Vw: Osmotically active volume.
3 Results
3.1 Boyle van’t Hoff behaviour
In order to determine the isosmotic volume as well as the osmotic inactive volume of the MSCs the cell volume has been determined by cryomicroscopy. The cell volume in isotonic medium V0 was determined to be 689.2 ± 32.8 μm3. Figure 1 shows the Boyle van’t Hoff plot of the cell volume data. The cells behave as linear osmometers in the investigated osmotic range (200–600 mosm/kg). The osmotic inactive volume Vb, that was obtained from extrapolation to infinite osmolality was to be 0.275 of V0 (189.6 ± 9.02 μm3). So the osmotic active volume was determined to be 497.74 μm3.

Boyle van’t Hoff relationship of MSCs.
3.2 Supra-zero membrane hydraulic parameters of MSCs
For the supra-zero membrane hydraulic parameters the following results have been determined (see Table 2 and Figure 2). On average, the Lpg is 0.13 μm/min and the corresponding activation energy is 3.68 kcal/mol.
| Concentration of salt | Lp [m/sPa] | Lpg [m/sPa] | ELp [J/mol] |
|---|---|---|---|
| 240 | 1.29 × 10−13 to 3.10 × 10−14 | 0.195 | 5.975 |
| 260 | 6.48 × 10−14 to 3.61 × 10−14 | 0.221 | 2.71 |
| 400 | 3.92 × 10−14 to 1.72 × 10−14 | 0.102 | 3.623 |
| 500 | 2.92 × 10−14 to 1.21 × 10−14 | 0.102 | 4.084 |
| 600 | 1.79 × 10−14 to 1.12 × 10−14 | 0.071 | 2.03 |

Arrhenius plot of supra-zero and sub-zero membrane hydraulic parameters.
3.3 Sub-zero membrane hydraulic parameters of MSCs
The results of membrane characteristics for sub-zero temperatures in contrast to the previous results show that the membrane hydraulic permeability is lower and the activation energy is higher (see Figure 2). With DMSO, the permeability of the membrane to water is 0.06 μm/min atm and the corresponding calculated activation energy for water is 19.50 kcal/mol. Without DMSO, the permeability of the membrane to water is 0.059 μm/min atm and the activation energy is 22.94 kcal/mol.
3.4 Optimal cooling rate
Based on the previously calculated biophysical parameters the optimal cooling rate for the MSCs has been calculated by equation 4. For cryopreservation without DMSO, the optimal cooling rate results in 12.82 K/min. If the MSCs are frozen with 5% DMSO (v/v), the optimal cooling rate results in 16.25 K/min.
The survival rates of MSCs which have been frozen by using the mathematically calculated cooling rate in comparison to the ones which were frozen by using the experimental two-step cooling rate show similar results (see Figure 3). The recultivation efficiency shows an average of 78.0 ± 9.8%. In contrast the survival rate of MSCs frozen without DMSO showed a significant difference compered to all other groups (p < 0.001). Here the survival rate is only 27.4 ± 7.9%.

Measurement of recultivation efficiency. ns: not significant, ***: p < 0.001.
4 Conclusion
For a successful cryopreservation with high survival rates, the knowledge of cell-specific parameters is essential. Therefore, in this study the biophysical parameters of MSCs from bone marrow have been identified. By using cryomicroscopy, the osmotic behavior, the membrane permeability and the activation energy were examined. The decisive factor here is to examine the different behaviors at supra-zero and sub-zero temperatures. With knowledge of these parameters, the optimal cooling rate of MSCs could be finally determined and showed similar results to the experimental developed cooling rate.
Author’s Statement
Research funding: The author state no funding involved. Conflict of interest: Authors state no conflict of interest. Material and Methods: Informed consent: Informed consent is not applicable. Ethical approval: The conducted research is not related to either human or animal use.
References
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©2016 Jennifer Contreras Lopez et al., licensee De Gruyter.
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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- Analysis of muscle fatigue conditions using time-frequency images and GLCM features
- Numerical evaluation of image parameters of ETR-1
- Fabrication of a compliant phantom of the human aortic arch for use in Particle Image Velocimetry (PIV) experimentation
- Effect of the number of electrodes on the reconstructed lung shape in electrical impedance tomography
- Hardware dependencies of GPU-accelerated beamformer performances for microwave breast cancer detection
- Computer assisted assessment of progressing osteoradionecrosis of the jaw for clinical diagnosis and treatment
- Evaluation of reconstruction parameters of electrical impedance tomography on aorta detection during saline bolus injection
- Evaluation of open-source software for the lung segmentation
- Automatic determination of lung features of CF patients in CT scans
- Image analysis of self-organized multicellular patterns
- Effect of key parameters on synthesis of superparamagnetic nanoparticles (SPIONs)
- Radiopacity assessment of neurovascular implants
- Development of a desiccant based dielectric for monitoring humidity conditions in miniaturized hermetic implantable packages
- Development of an artifact-free aneurysm clip
- Enhancing the regeneration of bone defects by alkalizing the peri-implant zone – an in vitro approach
- Rapid prototyping of replica knee implants for in vitro testing
- Protecting ultra- and hyperhydrophilic implant surfaces in dry state from loss of wettability
- Advanced wettability analysis of implant surfaces
- Patient-specific hip prostheses designed by surgeons
- Plasma treatment on novel carbon fiber reinforced PEEK cages to enhance bioactivity
- Wear of a total intervertebral disc prosthesis
- Digital health and digital biomarkers – enabling value chains on health data
- Usability in the lifecycle of medical software development
- Influence of different test gases in a non-destructive 100% quality control system for medical devices
- Device development guided by user satisfaction survey on auricular vagus nerve stimulation
- Empirical assessment of the time course of innovation in biomedical engineering: first results of a comparative approach
- Effect of left atrial hypertrophy on P-wave morphology in a computational model
- Simulation of intracardiac electrograms around acute ablation lesions
- Parametrization of activation based cardiac electrophysiology models using bidomain model simulations
- Assessment of nasal resistance using computational fluid dynamics
- Resistance in a non-linear autoregressive model of pulmonary mechanics
- Inspiratory and expiratory elastance in a non-linear autoregressive model of pulmonary mechanics
- Determination of regional lung function in cystic fibrosis using electrical impedance tomography
- Development of parietal bone surrogates for parietal graft lift training
- Numerical simulation of mechanically stimulated bone remodelling
- Conversion of engineering stresses to Cauchy stresses in tensile and compression tests of thermoplastic polymers
- Numerical examinations of simplified spondylodesis models concerning energy absorption in magnetic resonance imaging
- Principle study on the signal connection at transabdominal fetal pulse oximetry
- Influence of Siluron® insertion on model drug distribution in the simulated vitreous body
- Evaluating different approaches to identify a three parameter gas exchange model
- Effects of fibrosis on the extracellular potential based on 3D reconstructions from histological sections of heart tissue
- From imaging to hemodynamics – how reconstruction kernels influence the blood flow predictions in intracranial aneurysms
- Flow optimised design of a novel point-of-care diagnostic device for the detection of disease specific biomarkers
- Improved FPGA controlled artificial vascular system for plethysmographic measurements
- Minimally spaced electrode positions for multi-functional chest sensors: ECG and respiratory signal estimation
- Automated detection of alveolar arches for nasoalveolar molding in cleft lip and palate treatment
- Control scheme selection in human-machine- interfaces by analysis of activity signals
- Event-based sampling for reducing communication load in realtime human motion analysis by wireless inertial sensor networks
- Automatic pairing of inertial sensors to lower limb segments – a plug-and-play approach
- Contactless respiratory monitoring system for magnetic resonance imaging applications using a laser range sensor
- Interactive monitoring system for visual respiratory biofeedback
- Development of a low-cost senor based aid for visually impaired people
- Patient assistive system for the shoulder joint
- A passive beating heart setup for interventional cardiology training