Open Access

Contamination-free non-contact wettability assessment system

ROBOMECH Journal20174:21

https://doi.org/10.1186/s40648-017-0089-z

Received: 27 April 2017

Accepted: 11 August 2017

Published: 19 September 2017

Abstract

Surface wettability is one of most important indexes for understanding the interfacial characteristics between a solid surface and a liquid, especially such physico-chemical properties as hydrophilicity and water repellency. Recently, non-contact wettability assessment by monitoring the behavior of liquid covering a sample surface by jet-flow application to the liquid has been proposed. This method is applicable to the in-liquid assessment of high wettability materials for which it is difficult to measure the contact angle, such as cultured cells in a liquid culture medium. However, when the flow is dirty, the contamination of the cell culture system by particles (e.g. microorganisms, virus, and aerosols) may occur. To solve this problem, we developed a contamination-free non-contact wettability assessment system that is composed of a clean-air source having a particle filter and an automated system for image processing instrumentation and motorized alignment device for sample positioning. We confirmed that the filtered air-jet contained no particles, although over ten thousand particles had been included in the air source. Furthermore, we detected no microorganisms on agar culture plates, which had been exposed to the air-jet before being incubated. With the image instrumentation, we automatically measured the liquid-squeezed size, which was the main index of surface wettability. The motorized alignment device allowed us to control the sample position without human direct operation. This developed system is compatible with wettability assessment in a high-level clean environment such as quality control of culture cells for regenerative medicine and in vitro assay of drug efficacy and safety.

Keywords

Non-contact assessment Wettability Image instrumentation Jet-flow Contamination-free

Background

The surface wettability is an index of affinity between a liquid and a solid surface [1]. Because this index depends on the functional groups of surfaces, contaminants adhered on a surface, or surface roughness, the wettability value is useful for assessing physical and chemical properties. Especially, bio-surfaces such as biomaterials and cellular tissues are important targets for wettability assessment, because bio-surfaces interact with other materials via both physical and chemical interaction [21]. For example, temperature responsive cell culture dishes are important biomaterials for fabricating cell sheets based on the wettability change on the dishes obtained by controlling the surface temperature [4, 13, 23]. Such cell sheet technologies are applicable to regenerative medicine for the malfunction of various organs and tissues [2, 3, 57, 11, 12, 15]. Regarding cellular tissues, one possible application could be in treatment of dry eye syndrome; this is a corneal disorder wherein the corneal surface loses its tear film because of less secretion of tears and/or wettability loss on the corneal surface [10]. In analysis of disease occurrence, in vitro systems which use cell culture dishes are often used. Therefore, the wettability assessment method applicable to cell culture dish systems is in high demand.

The contact angle which is the angle on the contact interface between the liquid and solid is a popular index for expressing surface wettability of general materials such as metals, glasses, and resins [22]. However, measurement of the contact angle on high wettability surfaces such as hydrogels and cellular tissues is seldom done, because the liquid drop is immediately fused with the material surface. Furthermore, in the case of cellular tissues, the wet condition of tissues must be maintained, because drying on the surface causes cell damage. To keep the wet condition, a captive-bubble based contact-angle measurement was developed [14], however, this measurement is difficult to apply to cell culture dish systems in vitro because the entire culture dish must be immersed into a liquid pool.

Recently, non-contact wettability assessment by monitoring the behavior of liquid covering a sample surface by air jet-flow application to the liquid has been proposed [18]. The area of liquid squeezed by the jet-flow application is the index of wettability in this method; small and large squeezed areas indicate high and low wettability, respectively (Fig. 1). This method is applicable to the in-liquid assessment of high wettability materials, such as cultivated oral mucosal epithelial cells [8, 9, 17]. In a previous study [19], we reported that the diameter of a culture medium, which initially covered the epithelial cells and then was squeezed by air-jet flow application, differed for culture conditions. Furthermore, higher wettability cells have been found to produce higher level of glycoproteins such as mucin. Although the method has been used to achieve wettability assessment for high wettability cellular surfaces in culture medium, jet-flow application presents a contamination risk for the cells. Therefore, our previous study only made a sampling assessment, and we were unable to cultivate the tested samples continuously and use them for further applications after the assessment. Because the contamination-free condition was not guaranteed, damages caused by the air-jet application and by particle contamination could not be distinguished separately. Furthermore, the usability of the non-contact wettability assessment method as compared to conventional methods such as contact angle measurement has not been quantitatively confirmed, though the basic relationship between liquid-squeezed size and contact angle is known (Fig. 1c–f).
Fig. 1

Surface wettability assessment based on liquid squeezing by a jet flow. Schematic illustrations a, b show the liquid squeezing on hydrophilic and hydrophobic surfaces, respectively. Photographs c, d show the behaviors of ultra-pure water squeezed by an air-jet flow on hydrophilic and hydrophobic surfaces, corresponding to the contact angles of 65.8° (e) and 85.2° (f), respectively

There are two approaches to reduce the contamination risks: (1) improve the jet-flow cleanness and (2) lower the numbers of human operations, which introduce various contaminating particles. In this study, we incorporated the filtration of compressed air and robotic technologies such as position control and image processing to realize a contamination-free non-contact wettability assessment system using the above approaches. With the contamination-free system, we can evaluate the damage to cells from just the air-jet application and we can compare the cell wettability to the conventional wettability index, contact angle.

Results and discussion

Non-contact wettability assessment system

We developed a non-contact wettability assessment system (Fig. 2a) based on our previous study [19] and related patent [20]. The system is equipped with a particle filter (Fig. 2a), an XYZ-three-axis motorized stage (Fig. 2b), and image processing instrumentation to allow detection of the liquid squeezed area automatically. The particle filter is readily available commercially as an item for clean rooms. Because various types of motorized stages are provided by several companies, we selected an appropriate type for the system from the viewpoints of position accuracy, size of the system and samples to be analyzed. The main system is W400 × L300 × H250 mm, and it can be installed on a standard clean bench. We also use a PC for system control and a compressed-gas source, such as an air compressor and a pressurized gas cylinder.
Fig. 2

Development of the non-contact wettability assessment system. a Photo of the system, consisting mainly of the jet-flow application and observation parts. b Schematic diagram showing the position adjustment mechanism

Assessment of particle contamination

First, we counted the particles in air flow from an oil-free air compressor (Fig. 3a) or non-contact wettability assessment system (Fig. 3b). The air flow from the compressor contained a large number of micro-particles: 1.8 × 104, 1.0 × 104, and 7.2 × 103 particles in a cubic foot with diameters of 0.3, 0.5, and 1.0 μm, respectively (Fig. 3c). These values were still smaller than that in a typical laboratory room, which reaches particle numbers of 105 to 106 particles (with a diameter of 0.3 μm) in a cubic foot. By installing the particle filter before the solenoid valve, the particles in the air-jet flow from the air nozzle were captured and removed (Fig. 3d). Therefore, filtration of the compressed air was quite useful for the risk reduction of particle contamination and necessary to achieve class 5 level in the ISO 14644-1 cleanroom standards, which should be met to perform therapeutic cell culturing.
Fig. 3

Assessment of particle contamination risks. Two air-jet flows were investigated from: a an oil-free air compressor and b the air nozzle of the non-contact wettability assessment system. Graphs c, d show the numbers of particles with the diameters of 0.3, 0.5, and 1 μm in the two types of air-jet flows (N = 1). Photographs e show the results of micro-organism tests. The red arrow head indicates the colony of micro-organisms

The microorganism test was also performed with agar culture plates (Fig. 3e). A colony was observed on the Sabouraud agar plate, which was exposed to the air directly from the air compressor and incubated. On the other hand, no colonies were observed on both trypticase soy and Sabouraud agar plates in the case of air-jet application from the air nozzle. Because trypticase soy and Sabouraud agar plates are suitable for cultivation of bacteria and fungi, respectively, the colony on the Sabouraud agar plate exposed to compressed air might consist of fungi derived from inside the air compressor. The result indicated that the air-jet from the non-contact wettability assessment system never contained bacteria and fungi. Therefore, the particles including microorganisms derived from the air compressor were effectively suppressed by insertion of the particle filter into the air supply line.

Advantages obtained by using robotic technology and image processing instrumentation

The main manual operation in the non-contact wettability assessment is the adjustment of measurement position, because the operator wants to make assessments on various points of the sample surface. The three-axis motorized stage enables system users to avoid the manual handling of target samples. During continuous movement of the three-axis electric stage for 1 min, no particles were detected. Although mechanical movement elements such as screws, bearings, and motors could be a particle source, the components of this system and the movement condition never generated particles.

To avoid the need for human operators to approach the measurement area, a digital camera and image processing instrumentation are included in the system. Obviously, these elements are not particle source, and the problem of contaminating particles derived from human operators was well eliminated. Furthermore, remote observations were implemented using software for the image instrumentation. This software detects the liquid squeezed area and measures its diameter. By automating this work, the time needed for analysis is shortened. In our previous study [19], human operators had to analyze huge numbers of recorded images to measure the diameter of the liquid squeezed area. But the simple algorithms of the image processing (Fig. 4a), allow the liquid squeezed area to be detected from just one monitored image (Fig. 4b–d; Additional file 3: Movie 1).
Fig. 4

Image processing instrumentation for detecting liquid-squeezed area and estimating the diameter of a circular shape. a Flowchart of image processing for liquid-squeezed area detection and diameter estimation. Photographs bd show part of the experimental setup, liquid behavior as monitored by the digital camera, and the result of the liquid-squeezed area detection, respectively (see also Additional file 3: Movie 1). Photographs eg show the detected results of printed circular patterns with diameters of 5, 10, and 20 mm, respectively, for confirming the estimation accuracy. Black scale bars in photographs cg indicate 1 cm. Graph h shows the relationship between measured and actual sizes of circular patterns. The dotted line in graph h indicates the linear approximation line for data points obtained using the linear regression equation and the coefficient of determination R 2 is 0.999

The performance of the image processing instrumentation was evaluated using circle patterns with known diameter values that had been printed on a sheet of paper (Fig. 4e–g). The diameter values of the actual and detected circles coincided within the worst coefficient of variation being 0.05% (=SD/mean) (Fig. 4h).

Comparison with contact angle method

To confirm the usability of our developed system, we compared the two indexes, liquid-squeezed diameter during air-jet application and the liquid recovery time after ceasing the air-jet application, with the conventional contact angle measurement on the same surfaces (Fig. 5). To obtain surfaces with various wettability values, polystyrene petri dishes were treated with atmospheric pressure nitrogen-plasma for 0, 3, 6, 12, 18, 30, and 60 s. With the extension of treatment time, the contact angle was decreased, indicating that the wettability was improved (Fig. 5a). Both liquid-squeezed diameter and liquid recovery time were also measured on these surfaces with the developed system and the relationship to the contact angle was investigated. The line expressing the relationship between the liquid-squeezed diameter and contact angle had a positive slope (Fig. 5b) with a small squeezed diameter at a small contact angle and a large diameter at a large angle, as observed earlier in Fig. 1c–f. Interestingly, the increase of the liquid-squeezed diameter had two different slopes with the turning point being around 72° for the contact angle; that is, the slope for the contact angle below 72° (Fig. 5c) was quite a bit gentler than that over 72° (Fig. 5d). In each region (Fig. 5c, d), the relationship seemed to be almost linear and the linear approximation lines well fit the data points with a coefficient of determination R 2 over 0.9. Unfortunately, we could not identify the mechanism causing the slope change; however, we could confirm assessment usability between the liquid-squeezed diameter and contact angle, which is the gold standard among wettability indexes, but contact angle measurement cannot be applied to cell surfaces.
Fig. 5

Comparison between a conventional contact angle method and our air-jet based liquid squeezing method as realized in the non-contact wettability assessment system. Graph a shows the relationship between contact angle on the polystyrene surfaces treated with atmospheric-pressure nitrogen-plasma and this treatment time. Graphs bd show the relationship between liquid squeezing diameter during air-jet application and contact angle. Dashed-line rectangles c, d in graph b indicate the region shown in graphs c, d, respectively. Graph e shows the relationship between liquid recovery time after ceasing the air-jet application and contact angle on the polystyrene surfaces. The blue- and yellow-background regions in graph e indicate recovering of liquid and the remaining squeezed area after ceasing the air-jet application, respectively, as shown in the paired photographs in graph e. The dashed vertical lines in graph e indicate the boundaries between the liquid recovery and the remaining squeezed area in the experiment and the values at the bottom end of each line are the contact angles at the boundaries. Dotted lines in graphs ce are linear approximation lines for data points (R 2 the coefficient of determination is shown in each graph). Data points and error bars indicate mean values and standard deviations (n = 5), respectively. Graph f shows the relationship between the coefficient of variation (=standard deviation/mean value) and plasma treatment time for contact angle, liquid-squeezed diameter, and liquid recovery time

Through this experiment, we investigated the relationship between the liquid recovery dynamics after ceasing the air-jet application and the contact angle (Fig. 5e). In the case of the surface with a contact angle over 70.7°, the liquid never recovered the surface and the liquid squeezed area caused by the air-jet application remained. On the other hand, the surface with a contact angle below 65.6° was always recovered by the liquid. Furthermore, whenever the liquid recovery occurred, the liquid recovery time increased with the contact angle. And this result suggested that the liquid recovery time could be used as an index of wettability, especially for high wettability surfaces with small values of the contact angle. Supposing the relationship was modelled as linear, we saw the approximation line provided a good estimation of contact angle from the liquid recovery time with the coefficient of determination R 2 over 0.8.

The coefficient of variation (CV), which was defined as the standard deviation per mean value, of each wettability index was calculated (Fig. 5f). On a low wettability surface with plasma treatment time from 0 to 12 s, the contact angle was the best index among the three indexes. On the other hand, the CV value of liquid-squeezed diameter was the best index for a higher wettability surface with 18-s or more treatment time. Therefore, the air-jet based liquid squeezing method implemented in our non-contact wettability assessment system would be the most suitable for the in-liquid wettability assessment of high wettability surfaces. The liquid recovery time had 4–30 times larger CV values compared with those of contact angle and liquid-squeezed diameter. Because the liquid recovery is a quite fast behavior, the measurement system with more frequent sampling, which exceeds the current system with a normal video rate of 30 Hz, is required for accurate evaluation.

We found the contact angle measured in the gas phase was strongly dependent on ambient humidity and the trend for the dependency varied with the surface materials (Additional file 1: Figure S1). Therefore, the ambient humidity must be controlled for accurate measurement of contact angle. On the other hand, this non-contact wettability assessment system is free from the effect of ambient humidity, because it is an in-liquid method, although the proposed method cannot be applicable to the wettability assessment in dry condition.

Influence on cultivated cells during wettability assessment

To investigate physical and biochemical influences during wettability assessment, we cultivated mouse skeletal myoblast cells on cell culture dishes (Fig. 6a).
Fig. 6

Influence on cultivated cells during non-contact wettability assessment. a Photo showing part of the experimental set-up. Microphotographs b, c show the surfaces of cultivated cells before and after 10-kPa-pressure air-jet application, respectively. Graphs df show the glucose consumption, lactate production, and lactate dehydrogenase release of the culture system during a 1-day culturing after noncontact wettability assessment, respectively. Bars and error bars indicate average values and standard deviations (n = 3), respectively. g Series of monitored images showing culture medium during non-contact wettability assessment (see also Additional file 4: Movie 2). Graph h shows the time-course of the liquid-squeezed diameter. Data points and error bars indicate mean values and standard deviations (n = 3), respectively

First, mechanical strength was assessed by observing peeling off of cultivated cells from the dish during air-jet application. However, cells were never peeled from the dish and the cellular shape was seemingly never changed before and after the air-jet application of 10 kPa pressure (Fig. 6b, c). When a gentler air-jet is required to reduce the pressure on the surface, not only the regulation of gas pressure but also the nozzle height from the surface is effective. From the spatial distribution of pressure (Additional file 2: Figure S2), the maximum pressure, which was caused at the point just under the nozzle center, can be suppressed by controlling the nozzle height.

Next, to investigate biochemical influences, glycometabolism and damage to the cytomembrane were assessed for the 10 kPa air-jet application, which never caused the peeling off of cells. The condition without the air-jet application was defined as the control. Generally, cells consume glucose and convert it into lactate in glycometabolism. Therefore, the concentration changes of both glucose and lactate in culture media were quantified during a 1-day culturing after the air-jet application (Fig. 6d, e). As a result, we saw no differences in the glucose consumptions and lactate productions between the control and air-jet application conditions. The released concentrations of lactate dehydrogenase (LDH) were also quantified to assess damage to the cytomembrane, because LDH is normally located in the cytoplasm and released through a damaged cytomembrane (Fig. 6f). The LDH release from cells showed no significant difference between the control and air-jet application conditions. Therefore, these results suggested that there were no influences on the cells during the wettability assessment in comparison with the control condition.

Wettability assessment

Here, we assessed the wettability of cultivated mouse skeletal myoblasts with air-jet based liquid squeezing. The behavior of the liquid squeezing and liquid recovery could be monitored by the developed system (Fig. 6g; Additional file 2) and we analyzed the image data to obtain the time-courses of squeezed diameter from the image instrumentation (Fig. 6h). The time-courses of three individual measurements were in almost complete agreement. As compared with the squeezed diameter using the normal polystyrene dish during air-jet application (Fig. 4b; Additional file 3: Movie 1), the diameter of the squeezed culture medium area was almost the same as that when using the dish. On the other hand, although the squeezed area remained in the case of the polystyrene dish after the air-jet cut-off, the culture medium fully recovered the cell culture surface (Additional file 3: Movie 1, Additional file 4: Movie 2). Therefore, these results suggested that hysteresis between liquid-squeezing and rewetting was also important information about surface wetting.

Conclusions

In this study, we developed a contamination-free noncontact wettability assessment system by installing robotic technology and image processing instrumentation for applications in biomedical fields. Air-jet application at a 10 kPa pressure never caused peeling off of cells and it did not influence biochemical activities including glycometabolism and it did not cause cytomembrane damage. Because the micro-particles including microorganisms can be eliminated by air filtration, the system will be applicable to in vitro assessment of wettability on cell surfaces during culturing.

Methods

System setup

The non-contact wettability assessment system was mainly composed of two parts: (1) an air-jet application part and (2) a part for the acquisition and analysis of liquid behavior. The air-jet application part had a compressed air line from an air compressor as an air source (PC3-5.5T; Yaezaki Kuatsu, Tokyo, Japan) to an air nozzle and the line was equipped with a pressure regulator (IR2000-A; SMC Corporation, Tokyo, Japan), a particle filter (ZFC53; SMC), and solenoid valve (custom-made; SMC). Both pressures before and after the solenoid valve were monitored by pressure sensors (PSE540; SMC). The air-jet was switched by the solenoid valve that was controlled from a laptop computer (ProBook650G1; HP, Palo Alto, CA). The liquid behavior in a sample container on the measurement table of the system was monitored by a digital camera located above the table. The surface temperature of the measurement table was controlled by a heater according to the user’s requirements. The relative position between the air nozzle and measurement table could be adjusted with the XYZ-three-axis motorized stage (XY-axes: KYL06, Suruga Seiki, Shizuoka, Japan and Z-axis: DRSM42, Oriental Motor, Tokyo, Japan) via numerical control from the computer. The acquired images were transferred to the computer and then further analyzed by our in-house software.

Particle counting

All experiments were performed with a particle counter (MET ONE HHPC 3+; Beckman Coulter, Brea, CA) in a laminar flow type clean bench (MCV-710ATS; Panasonic Healthcare, Tokyo, Japan). Before the air supply was fed from the air sources, we confirmed no particles could be counted in the clean bench. For the air compressor (PC3-5.5T; Yaezaki Kuatsu, Tokyo, Japan), the air was introduced into the particle counter in the clean bench via a tube. When the air-jet from the air nozzle of the non-contact wettability assessment system was assessed, first, the system was installed into the clean bench and put into the stand-by mode until no particles were detected in the bench. Then, the air-jet was applied to the particle counter (Fig. 3b). The three different sizes of particles in the air were simultaneously counted by the particle counter.

Microorganism test

Two types of agar plates were used for the microorganism test: trypticase soy (51048; Nissui Pharmaceutical, Tokyo, Japan) and Sabouraud agar plates (51033; Nissui). Each agar plate was exposed to the air from air compressor or the air nozzle of our system for 1 min. After being covered with a lid, the plates were incubated at 37 °C for 2 weeks. After the incubation, the colonies were monitored.

Contact angle measurement

A contact angle meter (DMs-401; Kyowa Interface Science, Saitama, Japan) were used for assessing the wettability of the surface as a standard method. A 10 μL droplet of ultra-pure water was applied to the surface to be evaluated. The contact behavior between the droplet and surface was monitored with a digital camera equipped in the contact angle meter. The value of the contact angle was automatically measured from the camera image using the software of the contact angle meter. To obtain surfaces with various levels of wettability, polystyrene petri dishes (351007, Corning, Corning, NY) and vacuum-gas-plasma (VGP) treated polystyrene cell culture dishes (353002; Corning) were prepared. The polystyrene petri dishes were further treated with nitrogen-plasma generated by a pen-style atmospheric-pressure plasma device (P500-SM; Sakigake Semiconductor, Kyoto, Japan).

Cell culturing

The cell culturing of mouse skeletal myoblast cell line C2C12 was performed as described elsewhere [16]. Briefly, Dulbecco’s modified Eagle’s Medium (DMEM) (A6429; Sigma-Aldrich, St. Louis, MO) supplemented with 10v/v% fetal bovine serum (FBS) (Nichirei Biosciences, Tokyo, Japan) and 1v/v% penicillin–streptomycin solution (168-23191; Wako Pure Chemical, Osaka, Japan) was prepared as a culture medium. Cells were seeded in the culture medium in a 60-mm cell culture dish (353002; Corning) at an initial density of 6 × 104 cells/cm2. Cells were cultivated for 5 days in a humidified condition with 5% CO2 at 37 °C. Cell morphology was monitored with a phase-contrast microscope (IX71; Olympus, Tokyo, Japan).

Wettability assessment

For assessing the wettability of 60-mm polystyrene petri and cell culture dishes to an ultra-pure water (electrical resistivity: ≥18 MΩ cm), 2.7 mL of ultra-pure water was poured into the dish. In case of the assessment for cultivated cells, the same volume of culture medium was poured in cell culture dish covered with the cells at confluence. The volume of liquid (2.7 mL) gave a liquid height of 1.2 mm in the dish. After the target dish was placed on the measurement table of the system, the air-jet was applied from the air nozzle at the height of 15 mm from the liquid surface with a regulated pressure of 10 kPa. The behavior of liquid was recorded by the system camera from 0.1 s before the 1 s air-jet application to 0.5 s after ceasing it.

Image instrumentation

Digital camera images showing liquid behavior were transferred from the digital camera embedded in the non-contact wettability assessment system to a laptop computer. The images were analyzed by image processing software for detecting the liquid-squeezed area based on a circle detection algorithm as described in the flowchart of Fig. 4a. In the case of an absence of liquid-squeezed area, the software provided a diameter of zero as an undetected signal. To determine the diameter of the liquid-squeezed area, the relationship between actual distance and pixel distance in the image was calibrated in advance.

Pressure distribution measurement

The spatial distribution of pressure caused by the air-jet application was measured with a digital manometer (8230; AZ Instrument, Taichung, Taiwan). The air-jet at the regulated pressure of 10 kPa was applied to the pressure sensor located under the air nozzle of the developed system. The relative position of the pressure sensor to the nozzle was changed as heights of 5, 10, and 15 mm and distances from the point just under the nozzle between 0 to 5 mm in 1-mm increments.

Abbreviations

QBiC: 

Quantitative Biology Center

LDH: 

lactate dehydrogenase

DMEM: 

Dulbecco’s modified Eagle’s Medium

FBS: 

fetal bovine serum

KIW: 

Kitagawa Iron Works

Declarations

Authors’ contributions

NT and YH initiated the project. YH and HN designed and developed the system. NT designed the experiments and wrote the paper. NT, YN, JT, and AA performed the experiments and analyzed data. YT supervised the project. All authors read and approved the final manuscript.

Competing interests

The complimentary prototype of the non-contact wettability assessment system was provided from Kitagawa Iron Works (KIW) to RIKEN under the collaborative research agreement between KIW and RIKEN.

Availability of data and materials

Four Additional files 1, 2, 3 and 4 are available.

Consent for publication

Not applicable.

Ethics approval and consent to participate

Not applicable.

Funding

The study was partially supported by Adaptable and Seamless Technology Transfer Program through Target-driven R&D (AS2715165U) from the Japan Science and Technology Agency.

Publisher’s Note

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Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors’ Affiliations

(1)
Quantitative Biology Center (QBiC)
(2)
Development Division, Kitagawa Iron Works

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